Details

Time bar (total: 15.4s)

analyze5.0ms (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)

sample9.6s (62.2%)

Results
7.2s4107×body2048valid
1.8s2140×body1024valid
262.0ms1026×body512valid
199.0ms219×body4096valid
119.0ms764×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)

simplify27.0ms (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
59.9b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶59.9b
(-.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
✓0.0b
(/.f64 1 (tan.f64 x))
✓2.0b
(-.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))

rewrite83.0ms (0.5%)

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))))))))

simplify120.0ms (0.8%)

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))

eval143.0ms (0.9%)

Compiler

Compiled 6041 to 3506 computations (42% saved)

prune41.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2757282
Fresh000
Picked011
Done000
Total2758283
Error
0.3b
Counts
283 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
59.9b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
✓59.9b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
▶60.1b
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
▶0.3b
(+.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)))))
0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
▶0.5b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
▶0.7b
(*.f64 1/3 x)
Compiler

Compiled 175 to 133 computations (24% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 1/4725 (pow.f64 x 7))
✓0.1b
(*.f64 2/945 (pow.f64 x 5))
✓0.1b
(*.f64 1/45 (pow.f64 x 3))
✓0.3b
(*.f64 1/3 x)
Compiler

Compiled 85 to 68 computations (20% saved)

series5.0ms (0%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 1/3 x)
1.0ms
x
@0
(*.f64 1/4725 (pow.f64 x 7))
0.0ms
x
@0
(*.f64 1/45 (pow.f64 x 3))
0.0ms
x
@0
(*.f64 2/945 (pow.f64 x 5))
0.0ms
x
@inf
(*.f64 1/4725 (pow.f64 x 7))

rewrite102.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
954×unswap-sqr
852×swap-sqr
558×sqr-pow
490×pow-sqr
342×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01746
136446
2386546
Stop Event
1×node limit
Counts
4 → 60
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 2/945 (pow.f64 x 5))
(*.f64 1/4725 (pow.f64 x 7))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 (*.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(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 (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 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.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 (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 1/45 (pow.f64 x 3)) 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 log.f64 (+.f64 1 (expm1.f64 (*.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 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/945 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 4/893025))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/4725) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/4725 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/22325625 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4725) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/4725 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7))))))))

simplify70.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
782×unswap-sqr
778×associate-/r/
712×associate-/l/
692×*-commutative
554×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01781094
14681036
215691006
355001006
Stop Event
1×node limit
Counts
60 → 77
Calls
Call 1
Inputs
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 (*.f64 1/3 x) 3) 1/3)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.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 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1))))
(pow.f64 (*.f64 1/45 (pow.f64 x 3)) 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 1/45 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 1/2025 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.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 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1))))
(pow.f64 (*.f64 2/945 (pow.f64 x 5)) 1)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) 2)
(pow.f64 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) 3)
(pow.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/893025))
(log.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5)))))
(cbrt.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 2/945 (pow.f64 x 5))))
(log1p.f64 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1))))
(pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/4725) (pow.f64 x 7/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/4725 (pow.f64 x 7))) 3)
(pow.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3) 1/3)
(sqrt.f64 (*.f64 1/22325625 (pow.f64 x 14)))
(log.f64 (pow.f64 (exp.f64 1/4725) (pow.f64 x 7)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7)))))
(cbrt.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))
(exp.f64 (log.f64 (*.f64 1/4725 (pow.f64 x 7))))
(log1p.f64 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7))))
Outputs
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) -1)
(*.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)
(*.f64 1/3 x)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1))
(*.f64 1/3 x)
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 3) -1) (fma.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 3)) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 1/3 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
(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 (pow.f64 (*.f64 1/3 x) 3) 1/3)
(*.f64 1/3 x)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(fabs.f64 (*.f64 1/3 x))
(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 (pow.f64 (*.f64 1/3 x) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) -1)
(*.f64 1/45 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1)
(*.f64 1/45 (pow.f64 x 3))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1))
(*.f64 1/45 (pow.f64 x 3))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))) (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 3)) (+.f64 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))))))
(pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1)
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) 2)
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) 1/3)
(*.f64 1/45 (pow.f64 x 3))
(sqrt.f64 (*.f64 1/2025 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))))
(*.f64 1/45 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3))
(*.f64 1/45 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))
(*.f64 1/45 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/45 (pow.f64 x 3))))
(*.f64 1/45 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) -1)
(*.f64 2/945 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1)
(*.f64 2/945 (pow.f64 x 5))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1))
(*.f64 2/945 (pow.f64 x 5))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))) (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (*.f64 2 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))))))
(pow.f64 (*.f64 2/945 (pow.f64 x 5)) 1)
(*.f64 2/945 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) 2)
(*.f64 2/945 (pow.f64 x 5))
(pow.f64 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) 3)
(*.f64 2/945 (pow.f64 x 5))
(pow.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3) 1/3)
(*.f64 2/945 (pow.f64 x 5))
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/893025))
(log.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)))
(*.f64 2/945 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5)))))
(*.f64 2/945 (pow.f64 x 5))
(cbrt.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3))
(*.f64 2/945 (pow.f64 x 5))
(expm1.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))
(*.f64 2/945 (pow.f64 x 5))
(exp.f64 (log.f64 (*.f64 2/945 (pow.f64 x 5))))
(*.f64 2/945 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))
(*.f64 2/945 (pow.f64 x 5))
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) -1)
(*.f64 1/4725 (pow.f64 x 7))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1)
(*.f64 1/4725 (pow.f64 x 7))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1))
(*.f64 1/4725 (pow.f64 x 7))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))) (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 3)) (+.f64 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))))))
(pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 1)
(*.f64 1/4725 (pow.f64 x 7))
(pow.f64 (*.f64 (sqrt.f64 1/4725) (pow.f64 x 7/2)) 2)
(*.f64 1/4725 (pow.f64 x 7))
(pow.f64 (cbrt.f64 (*.f64 1/4725 (pow.f64 x 7))) 3)
(*.f64 1/4725 (pow.f64 x 7))
(pow.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3) 1/3)
(*.f64 1/4725 (pow.f64 x 7))
(sqrt.f64 (*.f64 1/22325625 (pow.f64 x 14)))
(log.f64 (pow.f64 (exp.f64 1/4725) (pow.f64 x 7)))
(*.f64 1/4725 (pow.f64 x 7))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 1/4725 (pow.f64 x 7))
(cbrt.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3))
(*.f64 1/4725 (pow.f64 x 7))
(expm1.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))
(*.f64 1/4725 (pow.f64 x 7))
(exp.f64 (log.f64 (*.f64 1/4725 (pow.f64 x 7))))
(*.f64 1/4725 (pow.f64 x 7))
(log1p.f64 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7))))
(*.f64 1/4725 (pow.f64 x 7))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/3 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
✓0.3b
(*.f64 -1/3 x)
✓2.1b
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

series11.0ms (0.1%)

Counts
3 → 15
Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@inf
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
0.0ms
x
@0
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
0.0ms
x
@-inf
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
0.0ms
x
@-inf
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
0.0ms
x
@0
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))

rewrite118.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1630×associate-*r/
1082×associate-*l/
950×*-commutative
914×distribute-lft-in
530×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
120449
2283949
Stop Event
1×node limit
Counts
3 → 309
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(*.f64 -1/3 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (neg.f64 (*.f64 x -1/3)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 (neg.f64 x)) (/.f64 -1 x)))))) 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simplify196.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1040×associate-+l+
890×associate-/l*
880×+-commutative
848×associate-*r*
754×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076320544
1234017508
Stop Event
1×node limit
Counts
324 → 499
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 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(+.f64 (/.f64 1 x) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x)))))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 x -1/3 (/.f64 1 x)))))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (fma.f64 x -1/3 (/.f64 1 x)))))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (*.f64 x -1/3)) (/.f64 -1 x)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 (neg.f64 x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 -1 x)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (sqrt.f64 (*.f64 x -1/3)) (neg.f64 (sqrt.f64 (*.f64 x -1/3)))) (/.f64 -1 x)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (cbrt.f64 (*.f64 x -1/3)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2))) (/.f64 -1 x)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (*.f64 x -1/3) -1) (neg.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 (neg.f64 x)) (neg.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (neg.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (sqrt.f64 (*.f64 x -1/3)) (neg.f64 (sqrt.f64 (*.f64 x -1/3)))) (neg.f64 (/.f64 1 x))))
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(/.f64 (-.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x))) (+.f64 (/.f64 1 x) (*.f64 x 1/3)))
(/.f64 (-.f64 (*.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 1/9 (*.f64 x x))) (/.f64 (pow.f64 x -3) x)) (*.f64 (+.f64 (*.f64 x -1/3) (/.f64 -1 x)) (+.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/27 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 x -3) 3)) (*.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x)))) (+.f64 (*.f64 (*.f64 -1/27 (pow.f64 x 3)) (*.f64 -1/27 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3) (pow.f64 (pow.f64 x -2) 3)) (*.f64 (+.f64 (*.f64 x -1/3) (/.f64 -1 x)) (+.f64 (*.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 1/9 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x)))) (+.f64 (/.f64 1 x) (*.f64 x 1/3)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)))) (neg.f64 (+.f64 (*.f64 x -1/3) (/.f64 -1 x))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3)))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) (sqrt.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)))) (sqrt.f64 (+.f64 (*.f64 x -1/3) (/.f64 -1 x))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) (sqrt.f64 (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3)))) (sqrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (*.f64 x -1/3) (/.f64 -1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (cbrt.f64 (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3)))) (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2))) 1) (neg.f64 (+.f64 (*.f64 x -1/3) (/.f64 -1 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3))) 1) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x))) 1) (+.f64 (/.f64 1 x) (*.f64 x 1/3)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2))) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (+.f64 (*.f64 x -1/3) (/.f64 -1 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3))) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 (*.f64 x -1/3) (/.f64 -1 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 1/9 (*.f64 x x))) (/.f64 (pow.f64 x -3) x)) (/.f64 1 (+.f64 (*.f64 x -1/3) (/.f64 -1 x)))) (+.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3) (pow.f64 (pow.f64 x -2) 3)) (/.f64 1 (+.f64 (*.f64 x -1/3) (/.f64 -1 x)))) (+.f64 (*.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 1/9 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/27 (pow.f64 x 3)) (*.f64 -1/27 (pow.f64 x 3))) (*.f64 (pow.f64 x -3) (pow.f64 x -3))) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x)))))) (-.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/27 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 x -3) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x)))))) (+.f64 (*.f64 (*.f64 -1/27 (pow.f64 x 3)) (*.f64 -1/27 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)) 1) (+.f64 (*.f64 x -1/3) (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x))) 1) (+.f64 (/.f64 1 x) (*.f64 x 1/3)))
(/.f64 (/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)) (sqrt.f64 (+.f64 (*.f64 x -1/3) (/.f64 -1 x)))) (sqrt.f64 (+.f64 (*.f64 x -1/3) (/.f64 -1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 x -1/3) (/.f64 -1 x))) (cbrt.f64 (+.f64 (*.f64 x -1/3) (/.f64 -1 x))))) (cbrt.f64 (+.f64 (*.f64 x -1/3) (/.f64 -1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3)))) (-.f64 (sqrt.f64 (*.f64 x -1/3)) (pow.f64 x -1/2)))
(/.f64 (/.f64 (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x)))))
(/.f64 (/.f64 (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3)) (sqrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x)))))) (sqrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/3)))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/3))) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/3))))) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3)))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3))))
(pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x -1/3 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/3 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/3 (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 x -1/3 (/.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 x -1/3 (/.f64 1 x))))
(fma.f64 1 (/.f64 1 x) (*.f64 x -1/3))
(fma.f64 1 (*.f64 x -1/3) (/.f64 1 x))
(fma.f64 x -1/3 (/.f64 1 x))
(fma.f64 -1/3 x (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x -1/3))
(fma.f64 (sqrt.f64 (*.f64 x -1/3)) (sqrt.f64 (*.f64 x -1/3)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (cbrt.f64 (*.f64 x -1/3)) (/.f64 1 x))
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 1 x)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(+.f64 (/.f64 1 x) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))
(*.f64 1/3 x)
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x))) (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))
(+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (*.f64 1/3 x))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 x -1/3 (/.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x))) (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))
(+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (*.f64 1/3 x))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (fma.f64 x -1/3 (/.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x))) (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))
(+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (*.f64 1/3 x))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (*.f64 x -1/3)) (/.f64 -1 x)))
(*.f64 1/3 x)
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 (neg.f64 x)) (/.f64 -1 x)))
(*.f64 1/3 x)
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (/.f64 -1 x)))
(*.f64 1/3 x)
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (sqrt.f64 (*.f64 x -1/3)) (neg.f64 (sqrt.f64 (*.f64 x -1/3)))) (/.f64 -1 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 x) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2))))
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)) 0)
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (cbrt.f64 (*.f64 x -1/3)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2))) (/.f64 -1 x)))
(*.f64 1/3 x)
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (*.f64 x -1/3) -1) (neg.f64 (/.f64 1 x))))
(*.f64 1/3 x)
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 (neg.f64 x)) (neg.f64 (/.f64 1 x))))
(*.f64 1/3 x)
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (neg.f64 (/.f64 1 x))))
(*.f64 1/3 x)
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (sqrt.f64 (*.f64 x -1/3)) (neg.f64 (sqrt.f64 (*.f64 x -1/3)))) (neg.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 x) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2))))
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)) 0)
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (cbrt.f64 (*.f64 x -1/3)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2))) (neg.f64 (/.f64 1 x))))
(*.f64 1/3 x)
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (*.f64 x -1/3)) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/3 (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)))))
(fma.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (*.f64 1/3 x)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (*.f64 x -1/3) -1) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/3 (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)))))
(fma.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (*.f64 1/3 x)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 (neg.f64 x)) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/3 (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)))))
(fma.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (*.f64 1/3 x)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/3 (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)))))
(fma.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (*.f64 1/3 x)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (sqrt.f64 (*.f64 x -1/3)) (neg.f64 (sqrt.f64 (*.f64 x -1/3)))) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)))))
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)) (+.f64 (/.f64 1 x) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (cbrt.f64 (*.f64 x -1/3)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2))) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/3 (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)))))
(fma.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (*.f64 1/3 x)))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (*.f64 x -1/3)) (*.f64 (/.f64 1 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 x -2))))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/3 (*.f64 (/.f64 1 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 x -2))))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/3 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (*.f64 x -1/3) -1) (*.f64 (/.f64 1 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 x -2))))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/3 (*.f64 (/.f64 1 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 x -2))))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/3 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 (neg.f64 x)) (*.f64 (/.f64 1 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 x -2))))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/3 (*.f64 (/.f64 1 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 x -2))))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/3 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/3) (*.f64 (/.f64 1 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 x -2))))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/3 (*.f64 (/.f64 1 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 x -2))))))
(+.f64 (/.f64 1 x) (fma.f64 x 1/3 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))))
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(/.f64 (-.f64 (*.f64 (*.f64 1/9 x) x) (pow.f64 x -2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 x -1/3)) (pow.f64 x -1/2)) (+.f64 (sqrt.f64 (*.f64 x -1/3)) (pow.f64 x -1/2))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/9)) (pow.f64 x -2)) (*.f64 (+.f64 (sqrt.f64 (*.f64 x -1/3)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x -1/3)) (pow.f64 x -1/2))))
(/.f64 (/.f64 (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x)))))
(/.f64 (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (*.f64 1/9 x) x) (*.f64 x (/.f64 -1/3 x)))))
(/.f64 (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (*.f64 x (*.f64 x 1/9)) (-.f64 (pow.f64 x -2) (*.f64 x (/.f64 -1/3 x)))))
(/.f64 (/.f64 (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3)) (sqrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x)))))) (sqrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (*.f64 1/9 x) x) (*.f64 x (/.f64 -1/3 x))))) (sqrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (*.f64 1/9 x) x) (*.f64 x (/.f64 -1/3 x)))))))
(/.f64 (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3)) (*.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x 1/9)) (-.f64 (pow.f64 x -2) (*.f64 x (/.f64 -1/3 x))))) (sqrt.f64 (+.f64 (*.f64 x (*.f64 x 1/9)) (-.f64 (pow.f64 x -2) (*.f64 x (/.f64 -1/3 x)))))))
(/.f64 (/.f64 (+.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x -3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (*.f64 1/9 x) x) (*.f64 x (/.f64 -1/3 x))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (*.f64 1/9 x) x) (*.f64 x (/.f64 -1/3 x))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (*.f64 1/9 x) x) (*.f64 x (/.f64 -1/3 x))))))))
(/.f64 (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/9)) (-.f64 (pow.f64 x -2) (*.f64 x (/.f64 -1/3 x))))) (*.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/9)) (-.f64 (pow.f64 x -2) (*.f64 x (/.f64 -1/3 x))))) (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/9)) (-.f64 (pow.f64 x -2) (*.f64 x (/.f64 -1/3 x))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/3)))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 x -2) (*.f64 -1/9 (*.f64 x x))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) -1/9)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/3))) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/3))))) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 x -2) (*.f64 -1/9 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))))) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) -1/9)) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x)))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3)))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x -2) (*.f64 -1/9 (*.f64 x x))) (*.f64 (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3))) (+.f64 (sqrt.f64 (*.f64 x -1/3)) (pow.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) -1/9)) (*.f64 (+.f64 (sqrt.f64 (*.f64 x -1/3)) (pow.f64 x -1/2)) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3)))))
(pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 1)
(fma.f64 x -1/3 (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2)
(fma.f64 x -1/3 (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 3)
(fma.f64 x -1/3 (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3) 1/3)
(fma.f64 x -1/3 (/.f64 1 x))
(sqrt.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x -1/3 (/.f64 1 x))))
(fma.f64 x -1/3 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/3 (/.f64 1 x)))))
(fma.f64 x -1/3 (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3))
(fma.f64 x -1/3 (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x -1/3 (/.f64 1 x))))
(fma.f64 x -1/3 (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 x -1/3 (/.f64 1 x))))
(fma.f64 x -1/3 (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 x -1/3 (/.f64 1 x))))
(fma.f64 x -1/3 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 x -1/3))
(fma.f64 x -1/3 (/.f64 1 x))
(fma.f64 1 (*.f64 x -1/3) (/.f64 1 x))
(fma.f64 x -1/3 (/.f64 1 x))
(fma.f64 x -1/3 (/.f64 1 x))
(fma.f64 -1/3 x (/.f64 1 x))
(fma.f64 x -1/3 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x -1/3))
(fma.f64 (sqrt.f64 (*.f64 x -1/3)) (sqrt.f64 (*.f64 x -1/3)) (/.f64 1 x))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2) (/.f64 1 x))
(+.f64 (/.f64 1 x) (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (cbrt.f64 (*.f64 x -1/3)) (/.f64 1 x))
(fma.f64 x -1/3 (/.f64 1 x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/45 (pow.f64 x 3))
0.3b
(*.f64 1/3 x)
Compiler

Compiled 25 to 19 computations (24% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/45 (pow.f64 x 3))
✓0.3b
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
Compiler

Compiled 21 to 16 computations (23.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite58.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1788×add-sqr-sqrt
1750×*-un-lft-identity
1650×add-cube-cbrt
1638×add-cbrt-cube
188×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
121021
2225421
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 x) 1) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))))

simplify66.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1062×distribute-lft-in
968×times-frac
966×distribute-rgt-in
622×*-commutative
588×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063827
1168805
2734801
32414797
47767797
Stop Event
1×node limit
Counts
35 → 33
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 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 (*.f64 1/3 x) 1) (*.f64 1/45 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) 1)
(*.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)
(*.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
(*.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(*.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))
(pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 2))
(log.f64 (exp.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
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)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 (*.f64 1/3 x) 1) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) 1)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))))
(/.f64 (fma.f64 (*.f64 x 1/9) x (*.f64 (pow.f64 x 6) -1/2025)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (fma.f64 x (*.f64 x 1/9) (*.f64 (pow.f64 x 6) -1/2025)) (fma.f64 (pow.f64 x 3) -1/45 (*.f64 1/3 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 1/9 (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))
(/.f64 (fma.f64 1/27 (pow.f64 x 3) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (*.f64 x 1/9) x (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (pow.f64 x 3) (*.f64 x 1/135)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (*.f64 1/91125 (pow.f64 (pow.f64 x 3/2) 6))) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 1/3 x) (fma.f64 (pow.f64 x 3) -1/45 (*.f64 1/3 x)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x (*.f64 x -1/135))))))
(pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(pow.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3) 1/3)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 2))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(log.f64 (exp.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 1))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))

eval680.0ms (4.4%)

Compiler

Compiled 19843 to 14959 computations (24.6% saved)

prune141.0ms (0.9%)

Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New67611687
Fresh022
Picked011
Done055
Total67619695
Error
0.0b
Counts
695 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.5b
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
29.1b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
▶1.8b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
28.7b
(/.f64 (fma.f64 (*.f64 x 1/9) x (*.f64 (pow.f64 x 6) -1/2025)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
▶59.9b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
28.7b
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))))
▶40.9b
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x (*.f64 x -1/135))))))
0.6b
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
✓59.9b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
✓60.1b
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
✓0.3b
(+.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)))))
▶0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
0.8b
(+.f64 (*.f64 1/3 x) (*.f64 2 (fma.f64 1/3 x (*.f64 x -1/3))))
✓0.5b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
35.9b
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)) 0)
38.7b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
✓0.7b
(*.f64 1/3 x)
▶42.8b
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
39.1b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
Compiler

Compiled 460 to 364 computations (20.9% saved)

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 2/945 (pow.f64 x 5))
0.1b
(*.f64 1/45 (pow.f64 x 3))
0.3b
(*.f64 1/3 x)
Compiler

Compiled 52 to 41 computations (21.2% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 1/9 (*.f64 x x))
✓28.4b
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
0.0ms
x
@0
(*.f64 1/9 (*.f64 x x))
0.0ms
x
@inf
(*.f64 1/9 (*.f64 x x))
0.0ms
x
@inf
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
0.0ms
x
@-inf
(*.f64 1/9 (*.f64 x x))

rewrite63.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1386×add-sqr-sqrt
1366×*-un-lft-identity
1276×add-cube-cbrt
1266×add-cbrt-cube
1254×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
116120
2185420
Stop Event
1×node limit
Counts
2 → 41
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(*.f64 1/9 (*.f64 x x))
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 x (pow.f64 1/9 1/2))))) (#(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 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/9 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) x)))) (#(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 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/9 x) 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 x x)) 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 (pow.f64 (exp.f64 1/3) x))))) (#(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 1/9 (*.f64 x x))) 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 1/9 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 x x)) 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 1/9 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 x x))))))))

simplify60.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1360×fma-def
1038×distribute-lft-out
852×unswap-sqr
826×*-commutative
586×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092713
1210713
2835713
32894713
45113713
Stop Event
1×node limit
Counts
65 → 49
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 (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 x (pow.f64 1/9 1/2))
(*.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 1/3 x)
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 (sqrt.f64 (*.f64 1/9 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x)))))
(*.f64 (pow.f64 1/9 1/2) x)
(*.f64 (pow.f64 1 1/2) (*.f64 x 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 1/2))
(*.f64 (pow.f64 (*.f64 1/9 x) 1/2) (sqrt.f64 x))
(pow.f64 (*.f64 1/9 (*.f64 x x)) 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 (pow.f64 (exp.f64 1/3) x))
(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 1/9 (*.f64 x x))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(-.f64 (+.f64 1 (*.f64 1/9 (*.f64 x x))) 1)
(pow.f64 (*.f64 1/9 (*.f64 x x)) 1)
(pow.f64 (*.f64 x 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/81) 1/2)
(pow.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/9 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 x x))))
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 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.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 x (pow.f64 1/9 1/2))
(*.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 1/3 x)
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (*.f64 1/9 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))
(*.f64 (sqrt.f64 (*.f64 x 1/9)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (pow.f64 1/9 1/2) x)
(*.f64 1/3 x)
(*.f64 (pow.f64 1 1/2) (*.f64 x 1/3))
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (pow.f64 (*.f64 1/9 x) 1/2) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))
(*.f64 (sqrt.f64 (*.f64 x 1/9)) (sqrt.f64 x))
(pow.f64 (*.f64 1/9 (*.f64 x x)) 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 (pow.f64 (exp.f64 1/3) x))
(*.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 1/9 (*.f64 x x))) 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 1/9 (*.f64 x x))) 1)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(pow.f64 (*.f64 1/9 (*.f64 x x)) 1)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(pow.f64 (*.f64 x 1/3) 2)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 3)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(pow.f64 (*.f64 (pow.f64 x 4) 1/81) 1/2)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(pow.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3) 1/3)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/81))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(log.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 x x))))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(exp.f64 (log.f64 (*.f64 1/9 (*.f64 x x))))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 x x))) 1))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 x x))))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/3 x)
✓0.6b
(cbrt.f64 (*.f64 1/3 x))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series4.0ms (0%)

Counts
2 → 0
Calls

6 calls:

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

rewrite89.0ms (0.6%)

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))))))))

simplify56.0ms (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))

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
✓0.0b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
✓2.0b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 24 to 5 computations (79.2% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite164.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1072×*-commutative
992×associate-/l/
972×associate-/r/
646×swap-sqr
500×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0859
118751
2296751
Stop Event
1×node limit
Counts
3 → 261
Calls
Call 1
Inputs
(-.f64 (tan.f64 x) x)
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 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-1 (/.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))))))

simplify117.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1360×associate-*r*
1280×associate-*l*
1188×associate-/l*
696×*-commutative
576×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062910615
118239809
Stop Event
1×node limit
Counts
297 → 378
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.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 1/3 (pow.f64 x 2))
(+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2))))
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 1/4725 (pow.f64 x 8)))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 (tan.f64 x) (neg.f64 x))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) 1 x) 1))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) 1))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) 1))
(+.f64 (neg.f64 x) (tan.f64 x))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (-.f64 (tan.f64 x) x) 1)
(*.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (sqrt.f64 (+.f64 x (neg.f64 (tan.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 x (neg.f64 (tan.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (neg.f64 (tan.f64 x)))) (cbrt.f64 (+.f64 x (neg.f64 (tan.f64 x))))) (neg.f64 (cbrt.f64 (+.f64 x (neg.f64 (tan.f64 x))))))
(*.f64 -1 (+.f64 x (neg.f64 (tan.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3))) (+.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (-.f64 (*.f64 x (+.f64 x (tan.f64 x))) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x (neg.f64 (tan.f64 x))))) (sqrt.f64 (+.f64 x (neg.f64 (tan.f64 x)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 x (neg.f64 (tan.f64 x)))) (cbrt.f64 (+.f64 x (neg.f64 (tan.f64 x)))))) (cbrt.f64 (+.f64 x (neg.f64 (tan.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (tan.f64 x) x) 1)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 1 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (+.f64 x (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 x x)) (neg.f64 (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 x (pow.f64 x 3))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (*.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(pow.f64 (-.f64 (tan.f64 x) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) 1/3)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (tan.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (+.f64 x (neg.f64 (tan.f64 x))) (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (-.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3))) (+.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (-.f64 (*.f64 x (+.f64 x (tan.f64 x))) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (tan.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x))))) (sqrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))) (cbrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))))) (cbrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2))) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3) 1/3)
(pow.f64 (/.f64 (tan.f64 x) (-.f64 (tan.f64 x) x)) -1)
(neg.f64 (+.f64 -1 (/.f64 x (tan.f64 x))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) 1))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 x (tan.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) (pow.f64 (tan.f64 x) 3)))
(expm1.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) 1/45))
(+.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 (pow.f64 x 3) 1/45)))
(+.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 (pow.f64 x 7) 1/4725))))
(*.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 (/.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 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 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 (/.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 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 1/45 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x)))
(fma.f64 1/45 (pow.f64 x 4) (*.f64 x (*.f64 1/3 x)))
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2))))
(fma.f64 2/945 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x))))
(fma.f64 2/945 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 4) (*.f64 x (*.f64 1/3 x))))
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 1/4725 (pow.f64 x 8)))))
(fma.f64 2/945 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 4) (fma.f64 1/3 (*.f64 x x) (*.f64 1/4725 (pow.f64 x 8)))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 1 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(+.f64 1 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 1 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(+.f64 1 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 1 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(+.f64 1 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 1 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(+.f64 1 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 1 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(+.f64 1 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 1 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(+.f64 1 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)))
(+.f64 (tan.f64 x) (neg.f64 x))
(-.f64 (tan.f64 x) x)
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x)
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (tan.f64 x) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x)
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (tan.f64 x) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 2 (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 2 (+.f64 x (neg.f64 x))))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (+.f64 (tan.f64 x) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (+.f64 (tan.f64 x) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x)
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (tan.f64 x) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) 1 x) 1))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x)
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) 1))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) 1))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (tan.f64 x) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x))
(+.f64 (neg.f64 x) (tan.f64 x))
(-.f64 (tan.f64 x) x)
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x)
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (tan.f64 x) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
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(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (-.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 (*.f64 x x) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (tan.f64 x))) (-.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 (*.f64 x x) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3))) (+.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (-.f64 (*.f64 x (+.f64 x (tan.f64 x))) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (fma.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (-.f64 (*.f64 x (+.f64 x (tan.f64 x))) (pow.f64 (tan.f64 x) 2)))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (fma.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3) (*.f64 x (*.f64 (+.f64 x (tan.f64 x)) (-.f64 (*.f64 x (+.f64 x (tan.f64 x))) (pow.f64 (tan.f64 x) 2))))) (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (tan.f64 x)) (+.f64 (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3) (pow.f64 (tan.f64 x) 6))))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (*.f64 (/.f64 (tan.f64 x) (sin.f64 x)) (/.f64 (-.f64 (tan.f64 x) x) (sin.f64 x))) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (tan.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (tan.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (-.f64 (tan.f64 x) x) (sin.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (tan.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (/.f64 x (tan.f64 x))))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x))))) (sqrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x))))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))) (cbrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))))) (cbrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))) (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))) (neg.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2))) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))
(pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 1)
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2)
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 3)
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3) 1/3)
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))
(pow.f64 (/.f64 (tan.f64 x) (-.f64 (tan.f64 x) x)) -1)
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))
(neg.f64 (+.f64 -1 (/.f64 x (tan.f64 x))))
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) 1))
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 x (tan.f64 x))))))
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3))
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) (pow.f64 (tan.f64 x) 3)))
(expm1.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))
(+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1)
(+.f64 -1 (-.f64 2 (/.f64 x (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
(-.f64 1 (/.f64 x (tan.f64 x)))

localize61.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x (*.f64 x -1/135))
✓0.2b
(*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x (*.f64 x -1/135))))
✓0.2b
(*.f64 x -1/135)
✓40.3b
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x (*.f64 x -1/135))))))
Compiler

Compiled 111 to 78 computations (29.7% saved)

series6.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x (*.f64 x -1/135))))))
1.0ms
x
@inf
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x (*.f64 x -1/135))))))
1.0ms
x
@0
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x (*.f64 x -1/135))))))
0.0ms
x
@-inf
(*.f64 x -1/135)
0.0ms
x
@inf
(*.f64 x -1/135)

rewrite113.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1794×associate-/r*
498×add-sqr-sqrt
472×add-cbrt-cube
472×add-cube-cbrt
470×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023132
1519120
26566120
Stop Event
1×node limit
Counts
4 → 108
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x (*.f64 x -1/135))))))
(*.f64 x -1/135)
(*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x (*.f64 x -1/135))))
(*.f64 x (*.f64 x -1/135))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (*.f64 x -1/135) 1/9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/135) 1/9) 3) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/9 (*.f64 (pow.f64 x 4) -1/135))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/135))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/135)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/135)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/135)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/135))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) -1/2460375) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/18225))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/135) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) -1/2460375))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/135))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/135))))))))

simplify104.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1338×associate-/r*
1266×associate-/l/
1242×distribute-lft-in
1204×distribute-rgt-in
768×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02986880
17986534
237176534
Stop Event
1×node limit
Counts
156 → 163
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 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 -1/135 x)
(*.f64 -1/135 x)
(*.f64 -1/135 x)
(*.f64 -1/135 x)
(*.f64 -1/135 x)
(*.f64 -1/135 x)
(*.f64 -1/135 x)
(*.f64 -1/135 x)
(*.f64 -1/135 x)
(*.f64 -1/135 x)
(*.f64 -1/135 x)
(*.f64 -1/135 x)
(*.f64 1/9 (pow.f64 x 2))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(*.f64 -1/135 (pow.f64 x 4))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(*.f64 -1/135 (pow.f64 x 4))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 -1/135 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))))) 1)
(*.f64 (pow.f64 x 3) (*.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (pow.f64 x 3) (/.f64 1 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))) (fma.f64 (pow.f64 x 6) 1/91125 1/27))))
(*.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 (pow.f64 x 3) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))))
(*.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))) 1)
(*.f64 1 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (pow.f64 x 3/2)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))) (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 2) (*.f64 (*.f64 x (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (/.f64 x (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))) (pow.f64 (/.f64 x (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))) 2))
(*.f64 (pow.f64 (/.f64 x (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))) 2) (/.f64 x (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))))
(*.f64 (/.f64 1 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))) (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))
(*.f64 (*.f64 (pow.f64 x 3) (neg.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (/.f64 -1 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))) (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))) 2)) (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))) (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (/.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))) (fma.f64 (pow.f64 x 6) 1/91125 1/27))
(*.f64 (/.f64 (pow.f64 x 3) 1) (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))))
(*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))) (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))) 2)) (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) 1) (/.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (pow.f64 x 3/2)) 1) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (pow.f64 x 3/2)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))) 2)) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (pow.f64 x 3/2)) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 2) 1) (/.f64 (*.f64 x (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 2) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))) (/.f64 (*.f64 x (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 2) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))) 2)) (/.f64 x (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))))
(pow.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))) 2)
(pow.f64 (/.f64 x (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))) (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27))) -1)
(neg.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (neg.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) 3) (pow.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/135))) 1)
(pow.f64 (*.f64 x -1/135) 1)
(pow.f64 (sqrt.f64 (*.f64 x -1/135)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -1/135)) 3)
(pow.f64 (pow.f64 (*.f64 x -1/135) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 x x) 1/18225))
(log.f64 (pow.f64 (exp.f64 -1/135) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/135))))
(cbrt.f64 (pow.f64 (*.f64 x -1/135) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/135)))
(exp.f64 (log.f64 (*.f64 x -1/135)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/135)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/135)))
(+.f64 (*.f64 (*.f64 1/9 x) x) (*.f64 (pow.f64 x 4) -1/135))
(+.f64 (*.f64 (pow.f64 x 4) -1/135) (*.f64 (*.f64 1/9 x) x))
(+.f64 (*.f64 (*.f64 (*.f64 1/9 x) x) 1) (*.f64 (*.f64 (pow.f64 x 4) -1/135) 1))
(+.f64 (*.f64 (*.f64 (pow.f64 x 4) -1/135) 1) (*.f64 (*.f64 (*.f64 1/9 x) x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))) 1)
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/81 (*.f64 (pow.f64 x 4) 1/18225))) (-.f64 1/9 (*.f64 x (*.f64 x -1/135))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/729 (*.f64 (pow.f64 x 6) -1/2460375))) (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135))))
(/.f64 (*.f64 (-.f64 1/81 (*.f64 (pow.f64 x 4) 1/18225)) (*.f64 x x)) (-.f64 1/9 (*.f64 x (*.f64 x -1/135))))
(/.f64 (*.f64 (+.f64 1/729 (*.f64 (pow.f64 x 6) -1/2460375)) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/9 x) x) (*.f64 (*.f64 1/9 x) x)) (*.f64 (*.f64 (pow.f64 x 4) -1/135) (*.f64 (pow.f64 x 4) -1/135))) (-.f64 (*.f64 (*.f64 1/9 x) x) (*.f64 (pow.f64 x 4) -1/135)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/9 x) x) 3) (pow.f64 (*.f64 (pow.f64 x 4) -1/135) 3)) (+.f64 (*.f64 (*.f64 (*.f64 1/9 x) x) (*.f64 (*.f64 1/9 x) x)) (-.f64 (*.f64 (*.f64 (pow.f64 x 4) -1/135) (*.f64 (pow.f64 x 4) -1/135)) (*.f64 (*.f64 (*.f64 1/9 x) x) (*.f64 (pow.f64 x 4) -1/135)))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 1/81 (*.f64 (pow.f64 x 4) 1/18225))) 1) (-.f64 1/9 (*.f64 x (*.f64 x -1/135))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 1/81 (*.f64 (pow.f64 x 4) 1/18225))) (sqrt.f64 (-.f64 1/9 (*.f64 x (*.f64 x -1/135))))) (sqrt.f64 (-.f64 1/9 (*.f64 x (*.f64 x -1/135)))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 1/81 (*.f64 (pow.f64 x 4) 1/18225))) (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x (*.f64 x -1/135)))) (cbrt.f64 (-.f64 1/9 (*.f64 x (*.f64 x -1/135)))))) (cbrt.f64 (-.f64 1/9 (*.f64 x (*.f64 x -1/135)))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 1/729 (*.f64 (pow.f64 x 6) -1/2460375))) 1) (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 1/729 (*.f64 (pow.f64 x 6) -1/2460375))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135)))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 1/729 (*.f64 (pow.f64 x 6) -1/2460375))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/81 (*.f64 (pow.f64 x 4) 1/18225)) (*.f64 x x)) 1) (-.f64 1/9 (*.f64 x (*.f64 x -1/135))))
(/.f64 (/.f64 (*.f64 (-.f64 1/81 (*.f64 (pow.f64 x 4) 1/18225)) (*.f64 x x)) (sqrt.f64 (-.f64 1/9 (*.f64 x (*.f64 x -1/135))))) (sqrt.f64 (-.f64 1/9 (*.f64 x (*.f64 x -1/135)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/81 (*.f64 (pow.f64 x 4) 1/18225)) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x (*.f64 x -1/135)))) (cbrt.f64 (-.f64 1/9 (*.f64 x (*.f64 x -1/135)))))) (cbrt.f64 (-.f64 1/9 (*.f64 x (*.f64 x -1/135)))))
(/.f64 (/.f64 (*.f64 (+.f64 1/729 (*.f64 (pow.f64 x 6) -1/2460375)) (*.f64 x x)) 1) (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135))))
(/.f64 (/.f64 (*.f64 (+.f64 1/729 (*.f64 (pow.f64 x 6) -1/2460375)) (*.f64 x x)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135)))))
(/.f64 (/.f64 (*.f64 (+.f64 1/729 (*.f64 (pow.f64 x 6) -1/2460375)) (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/18225) (-.f64 1/81 (*.f64 (*.f64 (*.f64 1/9 x) x) -1/135)))))
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)) 1)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/135) 1/9))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (*.f64 x -1/135) 1/9) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/135) 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (*.f64 x -1/135) 1/9) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/135) 1/9) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))
(fma.f64 (*.f64 x x) 1/9 (*.f64 (pow.f64 x 4) -1/135))
(fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/135))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/135)))) 1)
(pow.f64 (*.f64 x (*.f64 x -1/135)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/135)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/135))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) -1/2460375) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/18225))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/135) x) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/135)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/2460375))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/135))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/135))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/135))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/135))))
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)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 -1/135 x)
(*.f64 x -1/135)
(*.f64 -1/135 x)
(*.f64 x -1/135)
(*.f64 -1/135 x)
(*.f64 x -1/135)
(*.f64 -1/135 x)
(*.f64 x -1/135)
(*.f64 -1/135 x)
(*.f64 x -1/135)
(*.f64 -1/135 x)
(*.f64 x -1/135)
(*.f64 -1/135 x)
(*.f64 x -1/135)
(*.f64 -1/135 x)
(*.f64 x -1/135)
(*.f64 -1/135 x)
(*.f64 x -1/135)
(*.f64 -1/135 x)
(*.f64 x -1/135)
(*.f64 -1/135 x)
(*.f64 x -1/135)
(*.f64 -1/135 x)
(*.f64 x -1/135)
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(fma.f64 1/9 (*.f64 x x) (*.f64 -1/135 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(fma.f64 1/9 (*.f64 x x) (*.f64 -1/135 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(fma.f64 1/9 (*.f64 x x) (*.f64 -1/135 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))
(*.f64 -1/135 (pow.f64 x 4))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(fma.f64 1/9 (*.f64 x x) (*.f64 -1/135 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(fma.f64 1/9 (*.f64 x x) (*.f64 -1/135 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(fma.f64 1/9 (*.f64 x x) (*.f64 -1/135 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))
(*.f64 -1/135 (pow.f64 x 4))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(fma.f64 1/9 (*.f64 x x) (*.f64 -1/135 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(fma.f64 1/9 (*.f64 x x) (*.f64 -1/135 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))
(+.f64 (*.f64 -1/135 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 2)))
(fma.f64 1/9 (*.f64 x x) (*.f64 -1/135 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/135))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/135))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/135))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/135))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/135))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/135))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/135))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/135))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/135))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/135))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/135))
(*.f64 -1/135 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/135))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9)))))) 1)
(*.f64 (pow.f64 x 3) (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (*.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (pow.f64 x 3) (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))) (fma.f64 (pow.f64 x 6) 1/91125 1/27))))
(*.f64 (pow.f64 x 3) (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))) (pow.f64 x 3)))
(*.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 (pow.f64 x 3) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))))
(*.f64 (pow.f64 x 3) (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9))))))
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(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/135) 1/9))))
(fma.f64 1/9 (*.f64 x x) (*.f64 -1/135 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))
(fma.f64 (*.f64 x x) 1/9 (*.f64 (pow.f64 x 4) -1/135))
(fma.f64 1/9 (*.f64 x x) (*.f64 -1/135 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))
(fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/135))
(fma.f64 1/9 (*.f64 x x) (*.f64 -1/135 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/135) 1/9)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/135)))) 1)
(*.f64 x (*.f64 x -1/135))
(pow.f64 (*.f64 x (*.f64 x -1/135)) 1)
(*.f64 x (*.f64 x -1/135))
(pow.f64 (*.f64 x (sqrt.f64 -1/135)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/135))) 3)
(*.f64 x (*.f64 x -1/135))
(pow.f64 (*.f64 (pow.f64 x 6) -1/2460375) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/2460375))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/18225))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/135) x) x))
(*.f64 x (*.f64 x -1/135))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/135)))))
(*.f64 x (*.f64 x -1/135))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/2460375))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/135))))
(*.f64 x (*.f64 x -1/135))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/135))))
(*.f64 x (*.f64 x -1/135))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/135))) 1))
(*.f64 x (*.f64 x -1/135))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/135))))
(*.f64 x (*.f64 x -1/135))

eval328.0ms (2.1%)

Compiler

Compiled 15267 to 9247 computations (39.4% saved)

prune201.0ms (1.3%)

Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New71812730
Fresh358
Picked101
Done2810
Total72425749
Error
0.0b
Counts
749 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.3b
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/3) 3)
59.9b
(pow.f64 (/.f64 x (-.f64 1 (/.f64 x (tan.f64 x)))) -1)
29.1b
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
✓1.8b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
39.0b
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) (tan.f64 x)) x)
28.7b
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))))
59.9b
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
28.6b
(/.f64 (+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))) x)
29.0b
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
▶0.6b
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
✓59.9b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
✓60.1b
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
✓0.3b
(+.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)))))
✓0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
▶0.8b
(+.f64 (*.f64 1/3 x) (*.f64 2 (fma.f64 1/3 x (*.f64 x -1/3))))
✓0.5b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
35.9b
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)) 0)
38.7b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
▶59.6b
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
29.0b
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
▶29.3b
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))
✓0.7b
(*.f64 1/3 x)
42.8b
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
✓42.8b
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
39.1b
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
Compiler

Compiled 507 to 401 computations (20.9% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
✓0.0b
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))
✓0.2b
(*.f64 3 (log1p.f64 (*.f64 1/3 x)))
0.3b
(*.f64 1/3 x)
Compiler

Compiled 87 to 74 computations (14.9% saved)

series178.0ms (1.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
141.0ms
x
@0
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
19.0ms
x
@0
(*.f64 3 (log1p.f64 (*.f64 1/3 x)))
5.0ms
x
@-inf
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))
4.0ms
x
@inf
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
4.0ms
x
@-inf
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))

rewrite174.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1554×associate-*l/
1008×associate-/r*
728×associate-/l*
372×add-sqr-sqrt
358×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018137
1374133
24671121
Stop Event
1×node limit
Counts
3 → 125
Calls
Call 1
Inputs
(*.f64 3 (log1p.f64 (*.f64 1/3 x)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (log1p.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 1 (+.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/3 x) 2) (-.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))) (-.f64 0 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) (-.f64 (/.f64 (pow.f64 (exp.f64 4) (log1p.f64 (*.f64 1/3 x))) (-.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) (+.f64 (*.f64 1/3 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (-.f64 (*.f64 1/3 x) (pow.f64 (exp.f64 2) (log1p.f64 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(*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 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(log1p.f64 (*.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2) (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) 2)) (-.f64 (*.f64 1/3 x) (pow.f64 (exp.f64 2) (log1p.f64 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simplify291.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
558×associate-/l*
556×associate-/r*
542×associate-+l-
524×fma-def
524×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052820679
1157916829
2713916829
Stop Event
1×node limit
Counts
161 → 260
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 1/27 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/108 (pow.f64 x 4)) (+.f64 (*.f64 1/27 (pow.f64 x 3)) x)))
(*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 27/2 (/.f64 1 (pow.f64 x 2))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) 3)) 1) (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x))))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) 1)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))
(fma.f64 1 (+.f64 (*.f64 1/3 x) 1) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))
(fma.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (+.f64 (*.f64 1/3 x) 1))
(fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) (+.f64 (*.f64 1/3 x) 1))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 1/3 x) 1)) (sqrt.f64 (+.f64 (*.f64 1/3 x) 1)) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) (+.f64 (*.f64 1/3 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/3 x) 1)) 2) (cbrt.f64 (+.f64 (*.f64 1/3 x) 1)) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))
(*.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))
(*.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 1)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 2) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (/.f64 -1 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)) (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) 2))) (-.f64 (*.f64 1/3 x) (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) 3))) (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x)))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) -1)
(neg.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) x)
(fma.f64 -1/6 (*.f64 x x) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 1/27 (pow.f64 x 3)) x))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/27 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/108 (pow.f64 x 4)) (+.f64 (*.f64 1/27 (pow.f64 x 3)) x)))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/108 (pow.f64 x 4) (fma.f64 1/27 (pow.f64 x 3) x)))
(*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(*.f64 3 (+.f64 (log.f64 1/3) (neg.f64 (neg.f64 (log.f64 x)))))
(*.f64 3 (+.f64 (log.f64 1/3) (log.f64 x)))
(+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (*.f64 3 (+.f64 (log.f64 1/3) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 9 x))
(fma.f64 3 (+.f64 (log.f64 1/3) (log.f64 x)) (/.f64 9 x))
(-.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 27/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 9 x) (-.f64 (*.f64 3 (+.f64 (log.f64 1/3) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 27/2 (*.f64 x x))))
(+.f64 (fma.f64 3 (+.f64 (log.f64 1/3) (log.f64 x)) (/.f64 9 x)) (/.f64 -27/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 27 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 27/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 9 x) (-.f64 (+.f64 (*.f64 3 (+.f64 (log.f64 1/3) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 27 (pow.f64 x 3))) (/.f64 27/2 (*.f64 x x))))
(+.f64 (/.f64 9 x) (+.f64 (fma.f64 3 (+.f64 (log.f64 1/3) (log.f64 x)) (/.f64 27 (pow.f64 x 3))) (/.f64 -27/2 (*.f64 x x))))
(*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))
(*.f64 3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1/3)))
(*.f64 3 (-.f64 (log.f64 -1/3) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3))))
(+.f64 (/.f64 9 x) (*.f64 3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1/3))))
(fma.f64 3 (-.f64 (log.f64 -1/3) (log.f64 (/.f64 -1 x))) (/.f64 9 x))
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(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (/.f64 (fma.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (*.f64 x -1/3)) (pow.f64 (fma.f64 x 1/3 1) 2)) (+.f64 (pow.f64 (fma.f64 x 1/3 1) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3)))) 3))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3))))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3))))) 2)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) 2))
(pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 1)
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 2)
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 3)
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 3) 1/3)
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) -1)
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(neg.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) 2))
(fabs.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 3))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 1))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/3 x)
✓3.9b
(+.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
@0
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
0.0ms
x
@-inf
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
0.0ms
x
@inf
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))

rewrite64.0ms (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)))))

simplify54.0ms (0.3%)

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)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/3 x)
✓0.3b
(*.f64 x -1/3)
✓58.6b
(fma.f64 1/3 x (*.f64 x -1/3))
Compiler

Compiled 37 to 27 computations (27% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite73.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1430×add-sqr-sqrt
1406×*-un-lft-identity
1306×add-cube-cbrt
1294×add-cbrt-cube
1280×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0822
116014
2175314
Stop Event
1×node limit
Counts
2 → 35
Calls
Call 1
Inputs
(fma.f64 1/3 x (*.f64 x -1/3))
(*.f64 x -1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/3) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 x) 1) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 0)) (sqrt.f64 (*.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 0)) (pow.f64 (cbrt.f64 (*.f64 x 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 0)) 2) (cbrt.f64 (*.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (*.f64 1/9 (*.f64 x x))) (-.f64 (*.f64 1/3 x) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 (*.f64 x -1/3) 3)) (+.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (*.f64 1/3 x) (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 0)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -1/3)) 1)))) (#(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 sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(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 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)))))))

simplify52.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
896×distribute-rgt-in
892×distribute-lft-in
888×distribute-lft-out
692×*-commutative
638×distribute-lft-out--
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081307
1228269
2714229
32768229
Stop Event
1×node limit
Counts
59 → 44
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
(*.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 x -1/3) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 x) (*.f64 x -1/3))
(+.f64 (*.f64 (*.f64 1/3 x) 1) (*.f64 x -1/3))
(-.f64 (+.f64 1 (*.f64 x 0)) 1)
(*.f64 x 0)
(*.f64 (*.f64 x 0) 1)
(*.f64 1 (*.f64 x 0))
(*.f64 (sqrt.f64 (*.f64 x 0)) (sqrt.f64 (*.f64 x 0)))
(*.f64 (cbrt.f64 (*.f64 x 0)) (pow.f64 (cbrt.f64 (*.f64 x 0)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 0)) 2) (cbrt.f64 (*.f64 x 0)))
(/.f64 (-.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (*.f64 1/9 (*.f64 x x))) (-.f64 (*.f64 1/3 x) (*.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 (*.f64 x -1/3) 3)) (+.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (*.f64 1/3 x) (*.f64 x -1/3)))))
(pow.f64 (*.f64 x 0) 1)
(pow.f64 (sqrt.f64 (*.f64 x 0)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 0)) 3)
(pow.f64 (pow.f64 (*.f64 x 0) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x 0) 2))
(log.f64 (exp.f64 (*.f64 x 0)))
(cbrt.f64 (pow.f64 (*.f64 x 0) 3))
(expm1.f64 (log1p.f64 (*.f64 x 0)))
(exp.f64 (log.f64 (*.f64 x 0)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 0)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 0)))
(-.f64 (+.f64 1 (*.f64 x -1/3)) 1)
(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)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(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
0
0
0
0
0
0
0
0
0
0
0
0
(*.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 x -1/3) (*.f64 1/3 x))
0
(+.f64 (*.f64 1/3 x) (*.f64 x -1/3))
0
(+.f64 (*.f64 (*.f64 1/3 x) 1) (*.f64 x -1/3))
0
(-.f64 (+.f64 1 (*.f64 x 0)) 1)
0
(*.f64 x 0)
0
(*.f64 (*.f64 x 0) 1)
0
(*.f64 1 (*.f64 x 0))
0
(*.f64 (sqrt.f64 (*.f64 x 0)) (sqrt.f64 (*.f64 x 0)))
0
(*.f64 (cbrt.f64 (*.f64 x 0)) (pow.f64 (cbrt.f64 (*.f64 x 0)) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 0)) 2) (cbrt.f64 (*.f64 x 0)))
0
(/.f64 (-.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (*.f64 1/9 (*.f64 x x))) (-.f64 (*.f64 1/3 x) (*.f64 x -1/3)))
0
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 (*.f64 x -1/3) 3)) (+.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (*.f64 1/3 x) (*.f64 x -1/3)))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) -1/27)) (-.f64 (+.f64 (*.f64 (*.f64 1/9 x) x) (*.f64 (*.f64 1/9 x) x)) (*.f64 (*.f64 -1/3 x) (*.f64 x 1/3))))
(/.f64 (fma.f64 1/27 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -1/27)) (fma.f64 1/9 (*.f64 x x) (*.f64 (*.f64 x x) 2/9)))
(/.f64 0 (*.f64 x (*.f64 x 1/3)))
(pow.f64 (*.f64 x 0) 1)
0
(pow.f64 (sqrt.f64 (*.f64 x 0)) 2)
0
(pow.f64 (cbrt.f64 (*.f64 x 0)) 3)
0
(pow.f64 (pow.f64 (*.f64 x 0) 3) 1/3)
0
(sqrt.f64 (pow.f64 (*.f64 x 0) 2))
(sqrt.f64 0)
(log.f64 (exp.f64 (*.f64 x 0)))
0
(cbrt.f64 (pow.f64 (*.f64 x 0) 3))
0
(expm1.f64 (log1p.f64 (*.f64 x 0)))
0
(exp.f64 (log.f64 (*.f64 x 0)))
0
(exp.f64 (*.f64 (log.f64 (*.f64 x 0)) 1))
0
(log1p.f64 (expm1.f64 (*.f64 x 0)))
0
(-.f64 (+.f64 1 (*.f64 x -1/3)) 1)
(*.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)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 1/9 x) x))
(fabs.f64 (*.f64 x 1/3))
(*.f64 1/3 (fabs.f64 x))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(*.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)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/3 x)
✓0.4b
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/3) 3)
✓2.8b
(pow.f64 (*.f64 1/3 x) 1/3)
Compiler

Compiled 19 to 15 computations (21.1% saved)

series3.0ms (0%)

Counts
2 → 0
Calls

6 calls:

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

rewrite53.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1308×add-sqr-sqrt
1270×*-un-lft-identity
1214×add-cube-cbrt
1206×add-cbrt-cube
1190×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
118018
2180518
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(pow.f64 (*.f64 1/3 x) 1/3)
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/3) 3)
Outputs
((#(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 (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 x) (cbrt.f64 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 (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 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 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 log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/3 x))))))))
((#(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 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 x))))) (#(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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(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 (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 (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 1/9 (*.f64 x x)))))) (#(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)))))))

simplify51.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1664×distribute-rgt-in
1636×distribute-lft-in
1310×associate-*r*
1100×associate-*l*
648×swap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096976
1214736
2681490
33209490
Stop Event
1×node limit
Counts
46 → 55
Calls
Call 1
Inputs
(-.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 (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 x) (cbrt.f64 1/3))
(*.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))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x))))
(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))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/3 x))))
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 (*.f64 1/3 x) 1)
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(*.f64 1 (*.f64 1/3 x))
(*.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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(*.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 (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 (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 1/9 (*.f64 x x)))
(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 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 (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 x) (cbrt.f64 1/3))
(*.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))))
(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))
(cbrt.f64 (*.f64 1/3 x))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(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))
(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))
(-.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 (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 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 (*.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 (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 (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 (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 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(*.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 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(*.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 1/9 (*.f64 x x)))
(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)
(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)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 x 1/3)
✓0.4b
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))
✓0.6b
(cbrt.f64 (*.f64 x 1/3))
✓29.4b
(cbrt.f64 (*.f64 1/9 (*.f64 x x)))
Compiler

Compiled 36 to 21 computations (41.7% saved)

series10.0ms (0.1%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
6.0ms
x
@0
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))
2.0ms
x
@-inf
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))
1.0ms
x
@inf
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))
1.0ms
x
@0
(cbrt.f64 (*.f64 1/9 (*.f64 x x)))
0.0ms
x
@inf
(cbrt.f64 (*.f64 1/9 (*.f64 x x)))

rewrite76.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1766×add-sqr-sqrt
1742×*-un-lft-identity
1626×add-cube-cbrt
1608×add-cbrt-cube
214×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01286
123542
2273842
Stop Event
1×node limit
Counts
4 → 88
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 1/9 (*.f64 x x)))
(cbrt.f64 (*.f64 x 1/3))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))
(*.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) (sqrt.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)) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))))))) (#(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 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(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 (cbrt.f64 1/9) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/9 x)) (cbrt.f64 x))))) (#(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 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/9 x) 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 x x)) 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 (cbrt.f64 (*.f64 x 1/3)) 2)))) (#(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 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)))))) (#(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 1/9 (*.f64 x x))) 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 x) (cbrt.f64 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 (sqrt.f64 (cbrt.f64 1/9)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)))) (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 1/9 (*.f64 x x)) 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 (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 (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 1/9 (*.f64 x x)) 1/2)))) (#(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 (*.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 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(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)))))))
((#(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 1/9 (*.f64 x x)) 1/2)))) (#(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 (*.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 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(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)))))))

simplify81.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
974×*-commutative
572×associate-/r*
562×+-commutative
550×distribute-lft-in
550×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01521602
12951596
211621590
337491590
470141590
Stop Event
1×node limit
Counts
112 → 89
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 -1 (*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 -1/3) x)))
(*.f64 -1 (*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 -1/3) x)))
(*.f64 -1 (*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 -1/3) x)))
(*.f64 -1 (*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.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 1/3 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) (sqrt.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)) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))))
(*.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 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (cbrt.f64 (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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/9))
(*.f64 (cbrt.f64 1/9) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 (*.f64 1/9 x)) (cbrt.f64 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))))
(*.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 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (pow.f64 (*.f64 1/9 x) 1/3) (cbrt.f64 x))
(pow.f64 (*.f64 1/9 (*.f64 x x)) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (*.f64 x 1/3) 2/3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 3)
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)))
(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 1/9 (*.f64 x x))) 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 x) (cbrt.f64 1/3))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 1/9)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)))) (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 1/9 (*.f64 x x)) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 1)
(pow.f64 (*.f64 x 1/3) 1/3)
(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 1/9 (*.f64 x x)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (*.f64 1/9 (*.f64 x x)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(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 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/9)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/9)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/9)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/9)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/9)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/9)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/9)))
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 x (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/9)))
(*.f64 -1 (*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 -1/3) x)))
(neg.f64 (*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 -1/3))))
(*.f64 (cbrt.f64 1/9) (neg.f64 (*.f64 x (cbrt.f64 -1/3))))
(*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 -1/3) (neg.f64 x)))
(*.f64 -1 (*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 -1/3) x)))
(neg.f64 (*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 -1/3))))
(*.f64 (cbrt.f64 1/9) (neg.f64 (*.f64 x (cbrt.f64 -1/3))))
(*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 -1/3) (neg.f64 x)))
(*.f64 -1 (*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 -1/3) x)))
(neg.f64 (*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 -1/3))))
(*.f64 (cbrt.f64 1/9) (neg.f64 (*.f64 x (cbrt.f64 -1/3))))
(*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 -1/3) (neg.f64 x)))
(*.f64 -1 (*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 -1/3) x)))
(neg.f64 (*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 -1/3))))
(*.f64 (cbrt.f64 1/9) (neg.f64 (*.f64 x (cbrt.f64 -1/3))))
(*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 -1/3) (neg.f64 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 1/3 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 1/3 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 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))) 1)
(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 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(*.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) (sqrt.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 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 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))))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (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 (pow.f64 x 4) 1/81))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (pow.f64 (cbrt.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 1/3) (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/9))
(*.f64 (cbrt.f64 1/9) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 1/9) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 (*.f64 1/9 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/9 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))))
(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 1/3) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 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 (pow.f64 x 4) 1/81))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2))
(*.f64 (pow.f64 (*.f64 1/9 x) 1/3) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/9 x)))
(pow.f64 (*.f64 1/9 (*.f64 x x)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(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)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)))
(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)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 x x))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 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))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) 1)
(cbrt.f64 (*.f64 x 1/3))
(*.f64 1 (cbrt.f64 (*.f64 x 1/3)))
(cbrt.f64 (*.f64 x 1/3))
(*.f64 (pow.f64 (*.f64 x 1/3) 1/6) (pow.f64 (*.f64 x 1/3) 1/6))
(cbrt.f64 (*.f64 x 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(cbrt.f64 (*.f64 x 1/3))
(*.f64 (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))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 1/9)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 1/9)) (fabs.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 1/9)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 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))
(cbrt.f64 (*.f64 x 1/3))
(pow.f64 (*.f64 1/9 (*.f64 x x)) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2)
(cbrt.f64 (*.f64 x 1/3))
(pow.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 (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))
(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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(*.f64 x 1/3)
(pow.f64 (*.f64 1/9 (*.f64 x x)) 1/2)
(*.f64 x 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 x 1/3)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 x 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 x 1/3)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 x 1/3)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(*.f64 x 1/3)
(fabs.f64 (*.f64 x 1/3))
(*.f64 x 1/3)
(log.f64 (pow.f64 (exp.f64 1/3) x))
(*.f64 x 1/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(*.f64 x 1/3)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 x 1/3)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(*.f64 x 1/3)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(*.f64 x 1/3)
(pow.f64 (*.f64 1/9 (*.f64 x x)) 1/2)
(*.f64 x 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 x 1/3)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 x 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 x 1/3)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 x 1/3)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(*.f64 x 1/3)
(fabs.f64 (*.f64 x 1/3))
(*.f64 x 1/3)
(log.f64 (pow.f64 (exp.f64 1/3) x))
(*.f64 x 1/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(*.f64 x 1/3)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 x 1/3)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(*.f64 x 1/3)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)

eval726.0ms (4.7%)

Compiler

Compiled 24824 to 21027 computations (15.3% saved)

prune190.0ms (1.2%)

Pruning

25 alts after pruning (14 fresh and 11 done)

PrunedKeptTotal
New6203623
Fresh11112
Picked101
Done11112
Total62325648
Error
0b
Counts
648 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.3b
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/3) 3)
59.9b
(pow.f64 (/.f64 x (-.f64 1 (/.f64 x (tan.f64 x)))) -1)
29.1b
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
✓1.8b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
39.0b
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) (tan.f64 x)) x)
59.9b
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
28.6b
(/.f64 (+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))) x)
29.0b
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
1.0b
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) 3)
0.7b
(/.f64 (expm1.f64 x) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
✓59.9b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
✓60.1b
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
✓0.3b
(+.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)))))
✓0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
✓0.8b
(+.f64 (*.f64 1/3 x) (*.f64 2 (fma.f64 1/3 x (*.f64 x -1/3))))
✓0.5b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
35.9b
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)) 0)
38.7b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
✓59.6b
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
29.0b
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
0.9b
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
✓0.7b
(*.f64 1/3 x)
42.8b
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
✓42.8b
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
39.1b
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
Compiler

Compiled 276 to 220 computations (20.3% saved)

regimes74.0ms (0.5%)

Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 2 (fma.f64 1/3 x (*.f64 x -1/3))))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/3) 3)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)) 0)
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) 3)
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) (tan.f64 x)) x)
(pow.f64 (/.f64 x (-.f64 1 (/.f64 x (tan.f64 x)))) -1)
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))))
(/.f64 (+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))) x)
(+.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 (fma.f64 (*.f64 x 1/9) x (*.f64 (pow.f64 x 6) -1/2025)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x (*.f64 x -1/135))))))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(/.f64 (expm1.f64 x) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
Outputs
(+.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)))))
Calls

2 calls:

60.0ms
x
3.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 394 to 294 computations (25.4% saved)

regimes48.0ms (0.3%)

Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 2 (fma.f64 1/3 x (*.f64 x -1/3))))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/3) 3)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)) 0)
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) 3)
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) (tan.f64 x)) x)
(pow.f64 (/.f64 x (-.f64 1 (/.f64 x (tan.f64 x)))) -1)
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))))
(/.f64 (+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))) x)
Outputs
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
Calls

2 calls:

37.0ms
x
3.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 261 to 188 computations (28% saved)

regimes21.0ms (0.1%)

Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 2 (fma.f64 1/3 x (*.f64 x -1/3))))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/3) 3)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)) 0)
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) 3)
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) (tan.f64 x)) x)
(pow.f64 (/.f64 x (-.f64 1 (/.f64 x (tan.f64 x)))) -1)
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))
Outputs
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
Calls

2 calls:

12.0ms
x
3.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 206 to 146 computations (29.1% saved)

regimes16.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 2 (fma.f64 1/3 x (*.f64 x -1/3))))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (cbrt.f64 1/9) (*.f64 x (cbrt.f64 1/3)))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/3) 3)
Outputs
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
Calls

2 calls:

9.0ms
x
3.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 140 to 103 computations (26.4% saved)

regimes10.0ms (0.1%)

Accuracy

Total -59.7b remaining (-8556.2%)

Threshold costs -59.7b (-8556.2%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
Outputs
(*.f64 1/3 x)
Calls

2 calls:

6.0ms
x
2.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.7b1x
0.7b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 68 to 46 computations (32.4% saved)

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Rules
12×+-commutative
8×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025157
135157
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.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 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/3 x)
Outputs
(+.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 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/3 x)
Compiler

Compiled 61 to 49 computations (19.7% saved)

soundness0.0ms (0%)

end110.0ms (0.7%)

Compiler

Compiled 57 to 45 computations (21.1% saved)

Profiling

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