Details

Time bar (total: 14.2s)

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)

sample9.2s (64.8%)

Results
6.9s4142×body2048valid
1.7s2133×body1024valid
246.0ms1045×body512valid
185.0ms737×body256valid
150.0ms199×body4096valid
Bogosity

preprocess10.0ms (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)

simplify32.0ms (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
59.8b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶59.8b
(-.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 1 expressions with local error:

NewErrorProgram
✓3.2b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 20 to 12 computations (40% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 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)))

rewrite78.0ms (0.6%)

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
0923
119823
2267823
Stop Event
1×node limit
Counts
1 → 157
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Outputs
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simplify107.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
784×associate-+r+
752×+-commutative
750×associate-+l+
464×distribute-rgt-neg-out
460×distribute-lft-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04318829
112538667
250938343
Stop Event
1×node limit
Counts
169 → 249
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 (/.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))))
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(+.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)))))
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(+.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))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (*.f64 x (tan.f64 x))))
(*.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 1 (tan.f64 x))))
(*.f64 -1 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 x)))
(*.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 -1 (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 1 (tan.f64 x)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)))
(*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (+.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sqrt.f64 (tan.f64 x))) (pow.f64 (tan.f64 x) -1/2))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 x (tan.f64 x))) (*.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 x (tan.f64 x))) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (neg.f64 x) (neg.f64 (tan.f64 x)))) (*.f64 x (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (-.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x))))))) (-.f64 (-.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (pow.f64 (tan.f64 x) -2)))
(*.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) 3))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (pow.f64 x -2)))))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (tan.f64 x))) -1)
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 1 (/.f64 x (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (-.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (tan.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))
(/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 (*.f64 x (tan.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (*.f64 x (tan.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (*.f64 (*.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (pow.f64 (tan.f64 x) -3))) (*.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(/.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 -1 (tan.f64 x)) x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (*.f64 (*.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (*.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))))
(/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) (*.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (neg.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 1 (/.f64 (-.f64 (tan.f64 x) x) x)) (tan.f64 x))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 -1 (tan.f64 x)) x)))
(/.f64 (*.f64 1 (-.f64 0 (-.f64 (tan.f64 x) x))) (*.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (neg.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 x)) (tan.f64 x))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (tan.f64 x))) x)
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -1 (tan.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) -1) (*.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -1 x)) (neg.f64 (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) 1) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 -1 (tan.f64 x)) x)))
(/.f64 (*.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) 1) (*.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) 1) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) 1) (neg.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (tan.f64 x) x)) 1) (neg.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (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 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.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 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 x (tan.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) 1) (*.f64 x (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (*.f64 (tan.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (tan.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) 1) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (*.f64 x (tan.f64 x)))) (sqrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (tan.f64 x))) (cbrt.f64 (*.f64 x (tan.f64 x))))) (cbrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(/.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)))
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)))
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(/.f64 (*.f64 (neg.f64 (-.f64 (tan.f64 x) x)) 1) (neg.f64 (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (/.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (/.f64 (sqrt.f64 (*.f64 x (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (*.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (/.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (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 (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (/.f64 (cbrt.f64 (*.f64 x (tan.f64 x))) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (*.f64 x (tan.f64 x)))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (pow.f64 x -3) x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.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 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))
(/.f64 (-.f64 (pow.f64 x -6) (pow.f64 (tan.f64 x) -6)) (*.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (pow.f64 (tan.f64 x) -6)) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (*.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (pow.f64 x -6) (+.f64 (*.f64 (pow.f64 (tan.f64 x) -3) (pow.f64 x -3)) (pow.f64 (tan.f64 x) -6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))) (fma.f64 (pow.f64 (tan.f64 x) -3) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (pow.f64 x -6))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 x (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (*.f64 x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (*.f64 x (tan.f64 x))) (+.f64 x (tan.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (*.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 x (tan.f64 x))) (+.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)) (*.f64 x (*.f64 (tan.f64 x) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) 1) (*.f64 x (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (*.f64 (tan.f64 x) (sqrt.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (*.f64 (tan.f64 x) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (tan.f64 x) (cbrt.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) 1) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (*.f64 x (tan.f64 x)))) (sqrt.f64 (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (tan.f64 x))) (cbrt.f64 (*.f64 x (tan.f64 x))))) (cbrt.f64 (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (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 (tan.f64 x) x) (*.f64 (*.f64 (tan.f64 x) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) (*.f64 (sqrt.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 1 x) (/.f64 -1 (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 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (/.f64 1 (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (sin.f64 x)))
(/.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) x) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) (neg.f64 x)) (tan.f64 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 3)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3) 1/3)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 2))
(fabs.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(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)))

eval83.0ms (0.6%)

Compiler

Compiled 5738 to 3277 computations (42.9% saved)

prune41.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2427249
Fresh000
Picked011
Done000
Total2428250
Error
0.4b
Counts
250 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))
▶0.5b
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
▶59.8b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
✓59.8b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
▶0.4b
(+.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)))
▶0.8b
(*.f64 1/3 x)
Compiler

Compiled 179 to 137 computations (23.5% saved)

localize35.0ms (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))
✓0.4b
(*.f64 1/3 x)
Compiler

Compiled 85 to 68 computations (20% saved)

series4.0ms (0%)

Counts
4 → 0
Calls

12 calls:

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

rewrite76.0ms (0.5%)

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))))))))

simplify66.0ms (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
0.4b
(*.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 1/45 (pow.f64 x 3)))
0.1b
(*.f64 1/45 (pow.f64 x 3))
0.4b
(*.f64 1/3 x)
Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite69.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
854×*-commutative
682×unswap-sqr
540×swap-sqr
410×distribute-lft-in
404×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
122221
2264221
Stop Event
1×node limit
Counts
1 → 99
Calls
Call 1
Inputs
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
Outputs
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(*.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 neg.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)) (neg.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))))))) (#(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 log1p.f64 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/45 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/45 (pow.f64 x 3))) (sqrt.f64 (*.f64 1/45 (pow.f64 x 3))) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 1/2025) (*.f64 x x)) (*.f64 x (cbrt.f64 1/45)) (*.f64 1/3 x))))))

simplify113.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1814×distribute-lft-in
1622×associate-/r*
1394×associate-*r/
1036×associate-*l/
524×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03056904
18816458
236676452
Stop Event
1×node limit
Counts
102 → 171
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (-.f64 1 (*.f64 1/3 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (-.f64 1 (*.f64 1/45 (pow.f64 x 3))))
(-.f64 (/.f64 (*.f64 1/9 (*.f64 x x)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) 1/2025)))
(-.f64 (+.f64 (*.f64 1/3 x) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) 1)
(-.f64 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) 1)
(*.f64 x (+.f64 1/3 (*.f64 1/45 (*.f64 x x))))
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(*.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 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)) (/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))))
(*.f64 (/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))) (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)))
(*.f64 (neg.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025))) (/.f64 1 (neg.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))
(*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))) (/.f64 1 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))))
(*.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025))) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)) (-.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (-.f64 (*.f64 1/81 (pow.f64 x 4)) (pow.f64 (*.f64 (*.f64 1/45 (pow.f64 x 3)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))) 2))) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (*.f64 (pow.f64 x 3) -1/45) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3)))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (+.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3) (pow.f64 (*.f64 (*.f64 1/45 (pow.f64 x 3)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))) 3))) (+.f64 (*.f64 1/81 (pow.f64 x 4)) (*.f64 (*.f64 (*.f64 1/45 (pow.f64 x 3)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))) (-.f64 (*.f64 (*.f64 1/45 (pow.f64 x 3)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))) (*.f64 1/9 (*.f64 x x))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (cbrt.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)))) (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)) (cbrt.f64 (sqrt.f64 (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)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3) 1/6))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (-.f64 (*.f64 (cbrt.f64 1/2025) (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 x (cbrt.f64 1/45))))) (+.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 x (cbrt.f64 1/45))))
(*.f64 (+.f64 (*.f64 (cbrt.f64 1/2025) (*.f64 x x)) (-.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (*.f64 x (cbrt.f64 1/45)) (cbrt.f64 (*.f64 1/3 x))))) (+.f64 (*.f64 x (cbrt.f64 1/45)) (cbrt.f64 (*.f64 1/3 x))))
(/.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 1 (/.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3)) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x)))))
(/.f64 1 (/.f64 (neg.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (neg.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)))))
(/.f64 1 (/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)))))
(/.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025))) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) (sqrt.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025))) (cbrt.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)))) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) (cbrt.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3)))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 x) 6) (*.f64 (pow.f64 (pow.f64 x 3) 6) 1/8303765625)) (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))) (-.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))))
(/.f64 (-.f64 (*.f64 1/81 (pow.f64 x 4)) (*.f64 1/4100625 (pow.f64 x 12))) (*.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/27) 3) (pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))) (+.f64 (pow.f64 (*.f64 1/3 x) 6) (*.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125) (-.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125) (*.f64 (pow.f64 x 3) 1/27))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3) (pow.f64 (*.f64 (pow.f64 x 6) 1/2025) 3)) (*.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) (+.f64 (*.f64 1/81 (pow.f64 x 4)) (+.f64 (*.f64 1/4100625 (pow.f64 x 12)) (pow.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) 2)))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025))) (neg.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)))) (cbrt.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) 1) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3)))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025))) 1) (neg.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) (sqrt.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025))) (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 (pow.f64 x 3) -1/45))))
(/.f64 (*.f64 (-.f64 (*.f64 1/81 (pow.f64 x 4)) (*.f64 1/4100625 (pow.f64 x 12))) (/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3) (pow.f64 (*.f64 (pow.f64 x 6) 1/2025) 3)) (/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))) (+.f64 (*.f64 1/81 (pow.f64 x 4)) (+.f64 (*.f64 1/4100625 (pow.f64 x 12)) (pow.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/3 x) 6) (*.f64 (pow.f64 (pow.f64 x 3) 6) 1/8303765625)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))) (-.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/27) 3) (pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))) (+.f64 (pow.f64 (*.f64 1/3 x) 6) (*.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125) (-.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125) (*.f64 (pow.f64 x 3) 1/27)))))
(/.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)) 1) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)) (sqrt.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)) (*.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (cbrt.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)) (+.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/45 (pow.f64 x 3))))) (-.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/45 (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) 1) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) (exp.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 1/9 (*.f64 x x)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (/.f64 (*.f64 1/9 (*.f64 x x)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))) (*.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) 1/2025)) (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) 1/2025)))) (+.f64 (/.f64 (*.f64 1/9 (*.f64 x x)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) 1/2025))))
(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)
(neg.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)) (neg.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))))
(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)))))
(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)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 (pow.f64 x 3) 1/45 (*.f64 1/3 x))
(fma.f64 1 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))
(fma.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (*.f64 1/45 (pow.f64 x 3))) (sqrt.f64 (*.f64 1/45 (pow.f64 x 3))) (*.f64 1/3 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (*.f64 (cbrt.f64 1/2025) (*.f64 x x)) (*.f64 x (cbrt.f64 1/45)) (*.f64 1/3 x))
Outputs
(*.f64 1/3 x)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (-.f64 1 (*.f64 1/3 x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1) (*.f64 1/3 x))
(fma.f64 1/3 x (expm1.f64 (log1p.f64 (*.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 x (fma.f64 1/45 (*.f64 x x) 1/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (-.f64 1 (*.f64 1/45 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (*.f64 (pow.f64 x 3) -1/45)))
(fma.f64 1/45 (pow.f64 x 3) (expm1.f64 (log1p.f64 (*.f64 1/3 x))))
(-.f64 (/.f64 (*.f64 1/9 (*.f64 x x)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) 1/2025)))
(+.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) 1/9)) (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) -1/2025))
(+.f64 (*.f64 (*.f64 x x) (/.f64 1/9 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))) (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) -1/2025))
(-.f64 (+.f64 (*.f64 1/3 x) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1) (*.f64 1/3 x))
(fma.f64 1/3 x (expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (*.f64 (pow.f64 x 3) -1/45)))
(fma.f64 1/45 (pow.f64 x 3) (expm1.f64 (log1p.f64 (*.f64 1/3 x))))
(*.f64 x (+.f64 1/3 (*.f64 1/45 (*.f64 x x))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.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 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.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 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.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 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.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 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.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 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)) (/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (*.f64 (fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/2025)) 1) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/2025 (*.f64 x (*.f64 x 1/9))) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 1/3 (*.f64 x (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3)) (fma.f64 1/3 (*.f64 x (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (*.f64 (pow.f64 x 6) 1/2025)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (fma.f64 1/3 (*.f64 x (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (*.f64 (pow.f64 x 6) 1/2025)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(/.f64 (fma.f64 (*.f64 x x) -1/9 (*.f64 (pow.f64 x 6) 1/2025)) (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(*.f64 (/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)))
(/.f64 (*.f64 (fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/2025)) 1) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/2025 (*.f64 x (*.f64 x 1/9))) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))) (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 1/3 (*.f64 x (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3)) (fma.f64 1/3 (*.f64 x (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (*.f64 (pow.f64 x 6) 1/2025)))
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(/.f64 (*.f64 (+.f64 1 (exp.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)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 1/9 (*.f64 x x)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (/.f64 (*.f64 1/9 (*.f64 x x)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))) (*.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) 1/2025)) (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) 1/2025)))) (+.f64 (/.f64 (*.f64 1/9 (*.f64 x x)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) 1/2025))))
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 1/81 (pow.f64 x 4)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (/.f64 (/.f64 (pow.f64 x 12) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) 1/2025)) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) 1/2025))) (fma.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) 1/2025 (/.f64 (*.f64 x x) (/.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) 1/9))))
(/.f64 (-.f64 (/.f64 (*.f64 1/81 (pow.f64 x 4)) (*.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))) (*.f64 (/.f64 (/.f64 (pow.f64 x 12) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) 1/4100625)) (fma.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) 1/2025 (*.f64 (*.f64 x x) (/.f64 1/9 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))))))
(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)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(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)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(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)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(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)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(neg.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) -1/2025)) (neg.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))
(/.f64 (*.f64 (fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/2025)) 1) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/2025 (*.f64 x (*.f64 x 1/9))) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 1/3 (*.f64 x (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3)) (fma.f64 1/3 (*.f64 x (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (*.f64 (pow.f64 x 6) 1/2025)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (fma.f64 1/3 (*.f64 x (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) (*.f64 (pow.f64 x 6) 1/2025)))
(sqrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 2))
(fabs.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))
(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)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(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)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(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)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(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)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(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)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(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)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(fma.f64 (pow.f64 x 3) 1/45 (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(fma.f64 1 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(fma.f64 1 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(fma.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.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 x (fma.f64 1/45 (*.f64 x x) 1/3))
(fma.f64 (sqrt.f64 (*.f64 1/45 (pow.f64 x 3))) (sqrt.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 x (fma.f64 1/45 (*.f64 x x) 1/3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.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 x (fma.f64 1/45 (*.f64 x x) 1/3))
(fma.f64 (*.f64 (cbrt.f64 1/2025) (*.f64 x x)) (*.f64 x (cbrt.f64 1/45)) (*.f64 1/3 x))
(fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/2025)) (*.f64 x (cbrt.f64 1/45)) (*.f64 1/3 x))
(fma.f64 (*.f64 x (*.f64 x (cbrt.f64 1/2025))) (*.f64 x (cbrt.f64 1/45)) (*.f64 1/3 x))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/45 (pow.f64 x 3))
✓0.4b
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
Compiler

Compiled 21 to 16 computations (23.8% saved)

series0.0ms (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)))

rewrite83.0ms (0.6%)

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)))))))))

simplify83.0ms (0.6%)

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)))

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
✓0.0b
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))
✓3.1b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 24 to 5 computations (79.2% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite107.0ms (0.8%)

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 (tan.f64 x) x) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
Outputs
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simplify97.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1358×associate-*r*
1290×associate-*l*
1186×associate-/l*
696×*-commutative
576×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062910615
118239809
Stop Event
1×node limit
Counts
297 → 380
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 (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))))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (tan.f64 x))) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.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)))))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (/.f64 x (neg.f64 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 x (neg.f64 (tan.f64 x))) (/.f64 1 x)))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) 1)
(-.f64 (/.f64 (tan.f64 x) (*.f64 x (tan.f64 x))) (/.f64 x (*.f64 x (tan.f64 x))))
(*.f64 (-.f64 (tan.f64 x) x) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 x)))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (*.f64 x (tan.f64 x))))
(*.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 1)
(*.f64 1 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (-.f64 1 (/.f64 x (tan.f64 x))))
(*.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 x)) (-.f64 (tan.f64 x) x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (neg.f64 x)) (+.f64 -1 (/.f64 x (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) x) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (tan.f64 x)) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) x) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (tan.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (tan.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) x))
(*.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (/.f64 1 (*.f64 (tan.f64 x) (sqrt.f64 x))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (sqrt.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 (tan.f64 x) (cbrt.f64 x))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (cbrt.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 1 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2))) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (*.f64 x (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (*.f64 x (tan.f64 x))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) x) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (/.f64 1 x) 1) (-.f64 1 (/.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (tan.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 (tan.f64 x))) (+.f64 x (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (sin.f64 x)) (*.f64 (-.f64 (tan.f64 x) x) (cos.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 x (neg.f64 (tan.f64 x)))) (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3) 1/3)
(pow.f64 (/.f64 x (-.f64 1 (/.f64 x (tan.f64 x)))) -1)
(neg.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (neg.f64 x)))
(neg.f64 (*.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) (/.f64 1 x)))
(neg.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (neg.f64 x)) 1))
(neg.f64 (*.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (/.f64 1 (neg.f64 x))))
(neg.f64 (*.f64 1 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (neg.f64 x))))
(neg.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 x (tan.f64 x)))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 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 (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))))
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(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(neg.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (neg.f64 x)) 1))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(neg.f64 (*.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (/.f64 1 (neg.f64 x))))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(neg.f64 (*.f64 1 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (neg.f64 x))))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(neg.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 x (tan.f64 x)))))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(neg.f64 (/.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) x))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3) (pow.f64 x 3)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)

eval353.0ms (2.5%)

Compiler

Compiled 16482 to 10519 computations (36.2% saved)

prune154.0ms (1.1%)

Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New72316739
Fresh112
Picked011
Done235
Total72621747
Error
0.1b
Counts
747 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.0b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
2.0b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
30.6b
(/.f64 (fma.f64 1/45 (pow.f64 x 4) (*.f64 x (*.f64 1/3 x))) x)
✓59.8b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
30.6b
(/.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))))
▶59.8b
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
30.5b
(/.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)
30.9b
(/.f64 (*.f64 x (*.f64 1/3 x)) x)
▶30.9b
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
0.7b
(/.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))))))
0.6b
(/.f64 1 (/.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
✓0.4b
(+.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)))
32.4b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))
▶30.6b
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))))
0.5b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
✓0.8b
(*.f64 1/3 x)
44.6b
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
34.7b
(exp.f64 (log.f64 (*.f64 1/3 x)))
40.4b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
Compiler

Compiled 516 to 394 computations (23.6% saved)

localize23.0ms (0.2%)

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))
0.4b
(*.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 1/3 (*.f64 x x))
✓30.4b
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
Compiler

Compiled 18 to 8 computations (55.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite57.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1586×add-sqr-sqrt
1564×*-un-lft-identity
1472×add-cube-cbrt
1456×add-cbrt-cube
146×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0732
115026
2206026
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(*.f64 1/3 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (*.f64 x x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (*.f64 x x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/3)) (*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 (/.f64 1 x))) (sqrt.f64 (/.f64 1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -1/3) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/3 (*.f64 x x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 x) 1) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (/.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x x))))))))

simplify73.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1450×associate-/r*
1282×associate-+r-
848×*-commutative
832×unswap-sqr
792×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01471099
14031051
220341051
374881051
Stop Event
1×node limit
Counts
83 → 71
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 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (/.f64 1 x)))) 1)
(*.f64 1/3 (*.f64 (*.f64 x x) (/.f64 1 x)))
(*.f64 1/3 (/.f64 (*.f64 x x) x))
(*.f64 1/3 (/.f64 1 (/.f64 1 x)))
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x)))
(*.f64 (*.f64 1/3 (*.f64 x x)) (/.f64 1 x))
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1)
(*.f64 1 (/.f64 1/3 (/.f64 1 x)))
(*.f64 (*.f64 x (sqrt.f64 1/3)) (*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1/3 (/.f64 1 x))) (sqrt.f64 (/.f64 1/3 (/.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1/3 (/.f64 1 x))))
(*.f64 (*.f64 1/3 x) (*.f64 x (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) -1/3) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/3 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))
(*.f64 (/.f64 1/3 x) (*.f64 x x))
(*.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/3 x))
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) x))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1/3 (/.f64 1 x))))
(*.f64 (/.f64 (*.f64 1/3 x) 1) (/.f64 x x))
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))
(pow.f64 (/.f64 1/3 (/.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 (/.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 3) 1/3)
(pow.f64 (*.f64 3 (/.f64 1 x)) -1)
(neg.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 1/3 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 (/.f64 1 x))))
(exp.f64 (log.f64 (/.f64 1/3 (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) 1)
(pow.f64 (*.f64 1/3 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.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 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (/.f64 1 x)))) 1)
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 (*.f64 x x) (/.f64 1 x)))
(*.f64 1/3 x)
(*.f64 1/3 (/.f64 (*.f64 x x) x))
(*.f64 1/3 x)
(*.f64 1/3 (/.f64 1 (/.f64 1 x)))
(*.f64 1/3 x)
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x)))
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 (*.f64 x x)) (/.f64 1 x))
(*.f64 1/3 x)
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1)
(*.f64 1/3 x)
(*.f64 1 (/.f64 1/3 (/.f64 1 x)))
(*.f64 1/3 x)
(*.f64 (*.f64 x (sqrt.f64 1/3)) (*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 x)))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (/.f64 1/3 (/.f64 1 x))) (sqrt.f64 (/.f64 1/3 (/.f64 1 x))))
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (*.f64 (/.f64 1 x) (cbrt.f64 (*.f64 1/3 (*.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 x))) x))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 2))
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1/3 (/.f64 1 x))))
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 x) (*.f64 x (/.f64 1 x)))
(*.f64 1/3 x)
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 x)
(*.f64 (*.f64 (*.f64 x x) -1/3) (/.f64 1 (neg.f64 x)))
(*.f64 1/3 x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)))
(*.f64 1/3 x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/3 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (/.f64 (cbrt.f64 x) (*.f64 x x))))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (cbrt.f64 x) x)))
(*.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/3) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))
(*.f64 1/3 x)
(*.f64 (/.f64 1/3 x) (*.f64 x x))
(*.f64 1/3 x)
(*.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))
(*.f64 1/3 x)
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (/.f64 (cbrt.f64 x) (*.f64 x x))))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (cbrt.f64 x) x)))
(*.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/3) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/3 x))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (/.f64 (cbrt.f64 x) (*.f64 x x))))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (cbrt.f64 x) x)))
(*.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/3) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) x))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (/.f64 (cbrt.f64 x) (*.f64 x x))))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (cbrt.f64 x) x)))
(*.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/3) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) x))
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (*.f64 (/.f64 1 x) (cbrt.f64 (*.f64 1/3 (*.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 x))) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (*.f64 (/.f64 1 x) (cbrt.f64 (*.f64 1/3 (*.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 x))) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1/3 (/.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 1/3 x))))
(*.f64 (/.f64 (*.f64 1/3 x) 1) (/.f64 x x))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (/.f64 (cbrt.f64 x) (*.f64 x x))))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (cbrt.f64 x) x)))
(*.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/3) (/.f64 x (cbrt.f64 x)))
(pow.f64 (/.f64 1/3 (/.f64 1 x)) 1)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (/.f64 1/3 (/.f64 1 x))) 2)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 3)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 3) 1/3)
(*.f64 1/3 x)
(pow.f64 (*.f64 3 (/.f64 1 x)) -1)
(*.f64 1/3 x)
(neg.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (neg.f64 x)))
(*.f64 1/3 x)
(sqrt.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 2))
(*.f64 1/3 x)
(log.f64 (exp.f64 (/.f64 1/3 (/.f64 1 x))))
(*.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (/.f64 1 x)))))
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (/.f64 1/3 (/.f64 1 x))))
(*.f64 1/3 x)
(exp.f64 (log.f64 (/.f64 1/3 (/.f64 1 x))))
(*.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (/.f64 1 x))) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (/.f64 1/3 (/.f64 1 x))))
(*.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) 1)
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(pow.f64 (*.f64 1/3 (*.f64 x x)) 1)
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 3)
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(pow.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3) 1/3)
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))
(fabs.f64 (*.f64 x (*.f64 1/3 x)))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x)))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 x x)))))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x))))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 x x))))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 x x))) 1))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x x))))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
✓0.0b
(/.f64 x (tan.f64 x))
✓3.1b
(-.f64 1 (/.f64 x (tan.f64 x)))
Compiler

Compiled 23 to 9 computations (60.9% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
1.0ms
x
@-inf
(/.f64 x (tan.f64 x))
0.0ms
x
@inf
(/.f64 x (tan.f64 x))
0.0ms
x
@inf
(-.f64 1 (/.f64 x (tan.f64 x)))
0.0ms
x
@-inf
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)

rewrite79.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1626×associate-/l*
1572×associate-*l/
992×*-commutative
516×associate-/l/
470×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951
119651
2275251
Stop Event
1×node limit
Counts
3 → 190
Calls
Call 1
Inputs
(-.f64 1 (/.f64 x (tan.f64 x)))
(/.f64 x (tan.f64 x))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (neg.f64 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (/.f64 x (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 (+.f64 1 (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 1 (/.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 x (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) (neg.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 x (tan.f64 x)))) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 1 (/.f64 x (tan.f64 x))))) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) 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simplify116.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1022×associate-+l+
1018×associate-+r+
778×associate-*r*
706×associate-*l*
674×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04798748
113287504
264537504
Stop Event
1×node limit
Counts
226 → 287
Calls
Call 1
Inputs
(*.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))))
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (*.f64 -1/45 (pow.f64 x 4))))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/45 (pow.f64 x 4)) (*.f64 -2/945 (pow.f64 x 6)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 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 (/.f64 x (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 x (neg.f64 (tan.f64 x))) 1)
(+.f64 (-.f64 1 (+.f64 1 (/.f64 x (tan.f64 x)))) 1)
(*.f64 1 (-.f64 1 (/.f64 x (tan.f64 x))))
(*.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 (+.f64 1 (/.f64 x (tan.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 1 (/.f64 x (tan.f64 x))))))
(*.f64 -1 (+.f64 (/.f64 x (tan.f64 x)) -1))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) (neg.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 x (tan.f64 x)))) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 1 (/.f64 x (tan.f64 x))))) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (-.f64 1 (/.f64 x (tan.f64 x))))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) x) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2))) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 x)) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (-.f64 1 (/.f64 x (tan.f64 x))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 x)) (+.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (+.f64 1 (*.f64 (/.f64 x (tan.f64 x)) (-.f64 (/.f64 x (tan.f64 x)) 1))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (-.f64 1 (*.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2))))) (-.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (+.f64 1 (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (-.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) 1))))
(pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3) 1/3)
(pow.f64 (/.f64 x (-.f64 1 (/.f64 x (tan.f64 x)))) -1)
(neg.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
Outputs
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x 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)))
(+.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))))
(+.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 x (sin.f64 x))))
(*.f64 (cos.f64 x) (neg.f64 (/.f64 x (sin.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) 1)
(-.f64 1 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) 1)
(-.f64 1 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) 1)
(-.f64 1 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(*.f64 (cos.f64 x) (neg.f64 (/.f64 x (sin.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) 1)
(-.f64 1 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) 1)
(-.f64 1 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) 1)
(-.f64 1 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(fma.f64 -1/3 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -1/3 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (*.f64 -1/45 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/3 (*.f64 x x) 1) (*.f64 (pow.f64 x 4) -1/45))
(fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 4) -1/45 1))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/45 (pow.f64 x 4)) (*.f64 -2/945 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/3 (*.f64 x x) 1) (fma.f64 -1/45 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -2/945)))
(+.f64 (fma.f64 (*.f64 x x) -1/3 1) (fma.f64 (pow.f64 x 4) -1/45 (*.f64 (pow.f64 x 6) -2/945)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(*.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 (*.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))))
(+.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 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(+.f64 (/.f64 x (neg.f64 (tan.f64 x))) 1)
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(+.f64 (-.f64 1 (+.f64 1 (/.f64 x (tan.f64 x)))) 1)
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(*.f64 1 (-.f64 1 (/.f64 x (tan.f64 x))))
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(*.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 1)
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2))
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 (+.f64 1 (/.f64 x (tan.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (-.f64 -1 (/.f64 x (tan.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 1 (/.f64 x (tan.f64 x))))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (-.f64 (-.f64 -1 (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) 2)))
(*.f64 -1 (+.f64 (/.f64 x (tan.f64 x)) -1))
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) (neg.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))))
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))))
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 x (tan.f64 x)))) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 (+.f64 1 (/.f64 x (tan.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (-.f64 -1 (/.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 1 (/.f64 x (tan.f64 x))))) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (-.f64 (-.f64 -1 (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (-.f64 1 (/.f64 x (tan.f64 x))))
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (+.f64 1 (*.f64 (/.f64 x (tan.f64 x)) (-.f64 (/.f64 x (tan.f64 x)) 1))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (+.f64 1 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 -1 (/.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (fma.f64 (/.f64 x (tan.f64 x)) (+.f64 -1 (/.f64 x (tan.f64 x))) 1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (-.f64 1 (*.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2))))) (-.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (-.f64 1 (*.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2))))) (-.f64 1 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (-.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) 1))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 (/.f64 x (tan.f64 x)) (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) 1)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) 3))) (fma.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 -1 (/.f64 x (tan.f64 x)))) 1))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 x (tan.f64 x)) -1))) (sqrt.f64 (+.f64 (/.f64 x (tan.f64 x)) -1)))
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 x (tan.f64 x)) -1)) (cbrt.f64 (+.f64 (/.f64 x (tan.f64 x)) -1)))) (cbrt.f64 (+.f64 (/.f64 x (tan.f64 x)) -1)))
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.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 1 (/.f64 x (neg.f64 (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 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 1 (/.f64 x (tan.f64 x)))))
(+.f64 1 (/.f64 x (neg.f64 (tan.f64 x))))
(-.f64 1 (/.f64 x (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 1)
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 1 x) (-.f64 1 (/.f64 x (tan.f64 x))))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (+.f64 (/.f64 x (tan.f64 x)) -1) (/.f64 1 (neg.f64 x)))
(*.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) (/.f64 1 (neg.f64 x)))
(+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 -1 (neg.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (neg.f64 x)) (+.f64 (/.f64 x (tan.f64 x)) -1))
(*.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) (/.f64 1 (neg.f64 x)))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 1) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 1))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) 1))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) x) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2))) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 x)) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (-.f64 1 (/.f64 x (tan.f64 x))))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 x)) (+.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (+.f64 1 (*.f64 (/.f64 x (tan.f64 x)) (-.f64 (/.f64 x (tan.f64 x)) 1))))
(*.f64 (+.f64 1 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 -1 (/.f64 x (tan.f64 x))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 x))))
(*.f64 (fma.f64 (/.f64 x (tan.f64 x)) (+.f64 -1 (/.f64 x (tan.f64 x))) 1) (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (*.f64 (+.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (-.f64 1 (*.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2))))) (-.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) 2)))
(*.f64 (-.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (-.f64 1 (*.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2))))))
(/.f64 (*.f64 (-.f64 1 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) x)) (-.f64 1 (*.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (+.f64 1 (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (-.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) 1))))
(*.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 (/.f64 x (tan.f64 x)) (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) 1)))) (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (+.f64 1 (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) 3))))
(/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 -1 (/.f64 x (tan.f64 x)))) 1) (/.f64 (-.f64 1 (pow.f64 (/.f64 x (tan.f64 x)) 3)) x)) (+.f64 1 (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) 2)) 3)))
(pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 1)
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 2)
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 3)
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3) 1/3)
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (/.f64 x (-.f64 1 (/.f64 x (tan.f64 x)))) -1)
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (neg.f64 x)))
(*.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) (/.f64 1 (neg.f64 x)))
(+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 -1 (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 2))
(fabs.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3) (pow.f64 x 3)))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (*.f64 1/3 x))
✓0.3b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
0.4b
(*.f64 1/3 x)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series3.0ms (0%)

Counts
2 → 0
Calls

6 calls:

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

rewrite56.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify43.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

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

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 -1/9 (*.f64 x x))
✓0.2b
(/.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3)))
✓0.4b
(*.f64 x -1/3)
✓30.5b
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))))
Compiler

Compiled 90 to 65 computations (27.8% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))))
1.0ms
x
@0
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))))
0.0ms
x
@-inf
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))))
0.0ms
x
@inf
(/.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3)))
0.0ms
x
@inf
(*.f64 -1/9 (*.f64 x x))

rewrite146.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1790×associate-*l/
460×associate-+l+
436×add-sqr-sqrt
412×add-cbrt-cube
412×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021100
1460100
25648100
Stop Event
1×node limit
Counts
4 → 139
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))))
(*.f64 x -1/3)
(/.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3)))
(*.f64 -1/9 (*.f64 x x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) -1/729) 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 log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) -1/729))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/9))))))))

simplify146.0ms (1%)

Algorithm
1×egg-herbie
Rules
1482×associate-/r/
1070×associate-/l/
660×associate-*r*
598×associate-*l*
578×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040310837
110589229
246079191
Stop Event
1×node limit
Counts
187 → 216
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 -1/3 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 -3 x)
(-.f64 (*.f64 -1/5 x) (*.f64 3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/75 (pow.f64 x 3)) (*.f64 -1/5 x)) (*.f64 3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/75 (pow.f64 x 3)) (+.f64 (*.f64 -1/1125 (pow.f64 x 5)) (*.f64 -1/5 x))) (*.f64 3 (/.f64 1 x)))
(/.f64 45 (pow.f64 x 3))
(+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 151875 (/.f64 1 (pow.f64 x 9))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(/.f64 45 (pow.f64 x 3))
(+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 151875 (/.f64 1 (pow.f64 x 9))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(*.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 (*.f64 (pow.f64 x 6) 1/2025) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(+.f64 (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) (/.f64 (*.f64 (pow.f64 x 6) 1/2025) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(+.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/2025) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))) (*.f64 (*.f64 x (*.f64 x -1/9)) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/9)) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))) (*.f64 (*.f64 (pow.f64 x 6) 1/2025) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))) 1)
(/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) (neg.f64 (neg.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(/.f64 1 (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9)))))
(/.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9)) (-.f64 (*.f64 1/4100625 (pow.f64 x 12)) (*.f64 (pow.f64 x 4) 1/81))))
(/.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/81) (-.f64 (*.f64 (pow.f64 x 6) (*.f64 1/2025 (*.f64 x (*.f64 x -1/9)))) (*.f64 1/4100625 (pow.f64 x 12)))) (+.f64 (*.f64 1/8303765625 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (pow.f64 x 6) -1/729))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) 1)
(/.f64 (hypot.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x (sqrt.f64 -1/9))) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (hypot.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x (sqrt.f64 -1/9)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9)))) 2) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))))))
(/.f64 (-.f64 (*.f64 1/4100625 (pow.f64 x 12)) (*.f64 (pow.f64 x 4) 1/81)) (*.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9))))
(/.f64 (+.f64 (*.f64 1/8303765625 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (pow.f64 x 6) -1/729)) (*.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (-.f64 (*.f64 (pow.f64 x 4) 1/81) (-.f64 (*.f64 (pow.f64 x 6) (*.f64 1/2025 (*.f64 x (*.f64 x -1/9)))) (*.f64 1/4100625 (pow.f64 x 12))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) -1/2)) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (*.f64 (hypot.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x (sqrt.f64 -1/9))) 1) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (hypot.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x (sqrt.f64 -1/9)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) -1) (neg.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4100625 (pow.f64 x 12)) (*.f64 (pow.f64 x 4) 1/81)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9)))
(/.f64 (/.f64 (+.f64 (*.f64 1/8303765625 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (pow.f64 x 6) -1/729)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) (-.f64 (*.f64 (pow.f64 x 4) 1/81) (-.f64 (*.f64 (pow.f64 x 6) (*.f64 1/2025 (*.f64 x (*.f64 x -1/9)))) (*.f64 1/4100625 (pow.f64 x 12)))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4100625 (pow.f64 x 12)) (*.f64 (pow.f64 x 4) 1/81)) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9)))
(/.f64 (*.f64 (+.f64 (*.f64 1/8303765625 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (pow.f64 x 6) -1/729)) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))) (-.f64 (*.f64 (pow.f64 x 4) 1/81) (-.f64 (*.f64 (pow.f64 x 6) (*.f64 1/2025 (*.f64 x (*.f64 x -1/9)))) (*.f64 1/4100625 (pow.f64 x 12)))))
(/.f64 (*.f64 -1 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9)))) (neg.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4100625 (pow.f64 x 12)) (*.f64 (pow.f64 x 4) 1/81)) 1) (*.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4100625 (pow.f64 x 12)) (*.f64 (pow.f64 x 4) 1/81)) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (*.f64 (+.f64 (*.f64 1/8303765625 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (pow.f64 x 6) -1/729)) 1) (*.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (-.f64 (*.f64 (pow.f64 x 4) 1/81) (-.f64 (*.f64 (pow.f64 x 6) (*.f64 1/2025 (*.f64 x (*.f64 x -1/9)))) (*.f64 1/4100625 (pow.f64 x 12))))))
(/.f64 (*.f64 (+.f64 (*.f64 1/8303765625 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (pow.f64 x 6) -1/729)) 1) (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/81) (-.f64 (*.f64 (pow.f64 x 6) (*.f64 1/2025 (*.f64 x (*.f64 x -1/9)))) (*.f64 1/4100625 (pow.f64 x 12)))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) 1) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) (cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) 2))) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4100625 (pow.f64 x 12)) (*.f64 (pow.f64 x 4) 1/81)) -1) (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9)) (neg.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(/.f64 (*.f64 (+.f64 (*.f64 1/8303765625 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (pow.f64 x 6) -1/729)) -1) (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/81) (-.f64 (*.f64 (pow.f64 x 6) (*.f64 1/2025 (*.f64 x (*.f64 x -1/9)))) (*.f64 1/4100625 (pow.f64 x 12)))) (neg.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
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(pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) -1)
(pow.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) 1)
(pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/9)))) 1)
(pow.f64 (*.f64 x (*.f64 x -1/9)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/9)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/9))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) -1/729) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/81))
(log.f64 (pow.f64 (exp.f64 -1/9) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/9)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/729))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/9))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/9))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/9))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/9))))
Outputs
(*.f64 1/3 x)
(+.f64 (*.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 -1/3 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 -3 x)
(-.f64 (*.f64 -1/5 x) (*.f64 3 (/.f64 1 x)))
(-.f64 (*.f64 x -1/5) (/.f64 3 x))
(fma.f64 x -1/5 (/.f64 -3 x))
(-.f64 (+.f64 (*.f64 -1/75 (pow.f64 x 3)) (*.f64 -1/5 x)) (*.f64 3 (/.f64 1 x)))
(-.f64 (fma.f64 -1/75 (pow.f64 x 3) (*.f64 x -1/5)) (/.f64 3 x))
(fma.f64 (pow.f64 x 3) -1/75 (fma.f64 x -1/5 (/.f64 -3 x)))
(-.f64 (+.f64 (*.f64 -1/75 (pow.f64 x 3)) (+.f64 (*.f64 -1/1125 (pow.f64 x 5)) (*.f64 -1/5 x))) (*.f64 3 (/.f64 1 x)))
(-.f64 (fma.f64 -1/75 (pow.f64 x 3) (fma.f64 -1/1125 (pow.f64 x 5) (*.f64 x -1/5))) (/.f64 3 x))
(+.f64 (fma.f64 (pow.f64 x 3) -1/75 (fma.f64 x -1/5 (*.f64 -1/1125 (pow.f64 x 5)))) (/.f64 -3 x))
(+.f64 (fma.f64 x -1/5 (/.f64 -3 x)) (fma.f64 (pow.f64 x 3) -1/75 (*.f64 -1/1125 (pow.f64 x 5))))
(/.f64 45 (pow.f64 x 3))
(+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3)))
(+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))) (/.f64 10125 (pow.f64 x 7)))
(+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 10125 (pow.f64 x 7))))
(+.f64 (/.f64 45 (pow.f64 x 3)) (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 10125 (pow.f64 x 7))))
(+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 151875 (/.f64 1 (pow.f64 x 9))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 10125 (pow.f64 x 7)) (+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 151875 (pow.f64 x 9)))))
(+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 151875 (pow.f64 x 9))) (/.f64 10125 (pow.f64 x 7))))
(+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (+.f64 (/.f64 151875 (pow.f64 x 9)) (/.f64 10125 (pow.f64 x 7)))))
(/.f64 45 (pow.f64 x 3))
(+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3)))
(+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))) (/.f64 10125 (pow.f64 x 7)))
(+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 10125 (pow.f64 x 7))))
(+.f64 (/.f64 45 (pow.f64 x 3)) (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 10125 (pow.f64 x 7))))
(+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 151875 (/.f64 1 (pow.f64 x 9))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 10125 (pow.f64 x 7)) (+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 151875 (pow.f64 x 9)))))
(+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 151875 (pow.f64 x 9))) (/.f64 10125 (pow.f64 x 7))))
(+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (+.f64 (/.f64 151875 (pow.f64 x 9)) (/.f64 10125 (pow.f64 x 7)))))
(*.f64 -1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/9))
(*.f64 -1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/9))
(*.f64 -1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/9))
(*.f64 -1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/9))
(*.f64 -1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/9))
(*.f64 -1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/9))
(*.f64 -1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/9))
(*.f64 -1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/9))
(*.f64 -1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/9))
(*.f64 -1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/9))
(*.f64 -1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/9))
(*.f64 -1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/9))
(+.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/2025) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(+.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) 1/2025)) (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (fma.f64 x (*.f64 x -1/9) (*.f64 (pow.f64 x 6) 1/2025)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(+.f64 (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) (/.f64 (*.f64 (pow.f64 x 6) 1/2025) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(+.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) 1/2025)) (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (fma.f64 x (*.f64 x -1/9) (*.f64 (pow.f64 x 6) 1/2025)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(+.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/2025) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))) (*.f64 (*.f64 x (*.f64 x -1/9)) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(+.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) 1/2025)) (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (fma.f64 x (*.f64 x -1/9) (*.f64 (pow.f64 x 6) 1/2025)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/9)) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))) (*.f64 (*.f64 (pow.f64 x 6) 1/2025) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(+.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) 1/2025)) (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (fma.f64 x (*.f64 x -1/9) (*.f64 (pow.f64 x 6) 1/2025)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))) 1)
(+.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) 1/2025)) (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (fma.f64 x (*.f64 x -1/9) (*.f64 (pow.f64 x 6) 1/2025)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) 1/2025)) (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (fma.f64 x (*.f64 x -1/9) (*.f64 (pow.f64 x 6) 1/2025)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) (neg.f64 (neg.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(+.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) 1/2025)) (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (fma.f64 x (*.f64 x -1/9) (*.f64 (pow.f64 x 6) 1/2025)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(/.f64 1 (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9)))))
(+.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) 1/2025)) (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (fma.f64 x (*.f64 x -1/9) (*.f64 (pow.f64 x 6) 1/2025)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(/.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9)) (-.f64 (*.f64 1/4100625 (pow.f64 x 12)) (*.f64 (pow.f64 x 4) 1/81))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) 1/9))) (-.f64 (*.f64 1/4100625 (pow.f64 x 12)) (*.f64 (pow.f64 x 4) 1/81)))
(/.f64 (fma.f64 1/4100625 (pow.f64 x 12) (*.f64 (pow.f64 x 4) -1/81)) (*.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (fma.f64 x (*.f64 x 1/9) (*.f64 (pow.f64 x 6) 1/2025))))
(/.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/81) (-.f64 (*.f64 (pow.f64 x 6) (*.f64 1/2025 (*.f64 x (*.f64 x -1/9)))) (*.f64 1/4100625 (pow.f64 x 12)))) (+.f64 (*.f64 1/8303765625 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (pow.f64 x 6) -1/729))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) (+.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/81) (*.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 x (*.f64 x -1/9)))) (*.f64 1/4100625 (pow.f64 x 12)))) (fma.f64 1/8303765625 (pow.f64 (pow.f64 x 6) 3) (*.f64 (pow.f64 x 6) -1/729)))
(/.f64 (/.f64 (fma.f64 1/8303765625 (pow.f64 (pow.f64 x 6) 3) (*.f64 (pow.f64 x 6) -1/729)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) (-.f64 (*.f64 (pow.f64 x 4) 1/81) (fma.f64 (pow.f64 x 6) (*.f64 (*.f64 x x) -1/18225) (*.f64 (pow.f64 x 12) -1/4100625))))
(/.f64 (/.f64 (*.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 (pow.f64 x 12) 1/8303765625))) (+.f64 (fma.f64 (pow.f64 x 6) (*.f64 (*.f64 x x) -1/18225) (*.f64 (pow.f64 x 12) -1/4100625)) (*.f64 (pow.f64 x 4) -1/81))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) 1)
(+.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) 1/2025)) (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (fma.f64 x (*.f64 x -1/9) (*.f64 (pow.f64 x 6) 1/2025)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(/.f64 (hypot.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x (sqrt.f64 -1/9))) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (hypot.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x (sqrt.f64 -1/9)))))
(*.f64 (hypot.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x (sqrt.f64 -1/9))) (/.f64 (hypot.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x (sqrt.f64 -1/9))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (*.f64 (hypot.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x (sqrt.f64 -1/9))) (hypot.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x (sqrt.f64 -1/9)))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9)))) 2) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 x (*.f64 x -1/9))))))
(+.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) 1/2025)) (/.f64 (*.f64 x (*.f64 x -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))))
(/.f64 (fma.f64 x (*.f64 x -1/9) (*.f64 (pow.f64 x 6) 1/2025)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(/.f64 (-.f64 (*.f64 1/4100625 (pow.f64 x 12)) (*.f64 (pow.f64 x 4) 1/81)) (*.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9))))
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(exp.f64 (neg.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3))) -1))
(/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))) 1))
(/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/9)))) 1)
(*.f64 x (*.f64 x -1/9))
(pow.f64 (*.f64 x (*.f64 x -1/9)) 1)
(*.f64 x (*.f64 x -1/9))
(pow.f64 (*.f64 x (sqrt.f64 -1/9)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/9))) 3)
(*.f64 x (*.f64 x -1/9))
(pow.f64 (*.f64 (pow.f64 x 6) -1/729) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/729))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/81))
(log.f64 (pow.f64 (exp.f64 -1/9) (*.f64 x x)))
(*.f64 x (*.f64 x -1/9))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/9)))))
(*.f64 x (*.f64 x -1/9))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/729))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/9))))
(*.f64 x (*.f64 x -1/9))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/9))))
(*.f64 x (*.f64 x -1/9))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/9))) 1))
(*.f64 x (*.f64 x -1/9))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/9))))
(*.f64 x (*.f64 x -1/9))

eval504.0ms (3.5%)

Compiler

Compiled 15235 to 10364 computations (32% saved)

prune201.0ms (1.4%)

Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New69016706
Fresh6612
Picked101
Done088
Total69730727
Error
0.0b
Counts
727 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
32.2b
(pow.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 2) 2)
0.8b
(pow.f64 (*.f64 3 (/.f64 1 x)) -1)
✓32.0b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
2.0b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
30.6b
(/.f64 (fma.f64 1/45 (pow.f64 x 4) (*.f64 x (*.f64 1/3 x))) x)
31.0b
(/.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 2) x)
✓59.8b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
✓59.8b
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
30.5b
(/.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)
✓30.9b
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
0.7b
(/.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))))))
59.4b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
✓0.4b
(+.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)))
59.4b
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
32.1b
(*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
▶1.2b
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) x))
32.1b
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
30.9b
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x)))
0.8b
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1)
▶30.9b
(*.f64 (/.f64 1/3 x) (*.f64 x x))
30.7b
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (-.f64 (*.f64 -1/5 x) (*.f64 3 (/.f64 1 x))))
1.2b
(*.f64 (*.f64 x (sqrt.f64 1/3)) (*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 x)))
1.9b
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
▶32.0b
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
▶0.5b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
✓0.8b
(*.f64 1/3 x)
▶44.6b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
40.4b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
Compiler

Compiled 594 to 460 computations (22.6% saved)

localize47.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
✓0.1b
(*.f64 1/45 (*.f64 x x))
✓0.4b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
0.0ms
x
@inf
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
0.0ms
x
@inf
(*.f64 1/45 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
0.0ms
x
@0
(*.f64 1/45 (*.f64 x x))

rewrite83.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
900×*-commutative
706×unswap-sqr
558×swap-sqr
540×associate-*r/
424×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
120249
2258149
Stop Event
1×node limit
Counts
3 → 159
Calls
Call 1
Inputs
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(*.f64 1/45 (*.f64 x x))
(+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))) (*.f64 x (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) -1/3)) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 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(*.f64 x x) -1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (neg.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/45 (*.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/45 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/45)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/45)) (*.f64 x (sqrt.f64 1/45)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/2025)) (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/45) x 1/3)))))

simplify139.0ms (1%)

Algorithm
1×egg-herbie
Rules
1490×associate-/r*
1314×associate-*r/
944×associate-*l/
698×associate-/r/
654×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04228141
111247547
242467541
Stop Event
1×node limit
Counts
195 → 263
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 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
1/3
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 (*.f64 x 1/3) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3))
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1)
(/.f64 x (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)))
(/.f64 1 (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9))))
(/.f64 1 (/.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))) (*.f64 x (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))))
(/.f64 1 (/.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) -1/3)) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x 1/3) (-.f64 (*.f64 x 1/3) (*.f64 1/45 (pow.f64 x 3))))) (+.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 1/3) 3))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) x))
(/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (/.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))) x))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9)) (fma.f64 1/45 (*.f64 x x) -1/3))
(/.f64 (*.f64 x (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9)) (*.f64 x (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 1/3) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x 1/3) (-.f64 (*.f64 x 1/3) (*.f64 1/45 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 1/3) 3)) (+.f64 (*.f64 (*.f64 x x) 1/9) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x 1/3) (*.f64 1/45 (pow.f64 x 3))))))
(/.f64 (*.f64 x (+.f64 1/9 (*.f64 -1/2025 (pow.f64 x 4)))) (+.f64 1/3 (*.f64 (*.f64 x x) -1/45)))
(/.f64 (*.f64 x (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/2025)) 1/9)) (+.f64 (*.f64 (*.f64 x x) -1/45) 1/3))
(/.f64 (*.f64 x (+.f64 -1/27 (neg.f64 (*.f64 (pow.f64 x 6) 1/91125)))) (neg.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (*.f64 1 (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9))) (fma.f64 1/45 (*.f64 x x) -1/3))
(/.f64 (*.f64 1 (*.f64 x (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))) (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9))) (*.f64 x (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 1/3) 3))) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x 1/3) (-.f64 (*.f64 x 1/3) (*.f64 1/45 (pow.f64 x 3))))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9))) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (sqrt.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))) (sqrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9))) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2)) (cbrt.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))) (cbrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (*.f64 (+.f64 1/9 (*.f64 -1/2025 (pow.f64 x 4))) x) (+.f64 1/3 (*.f64 (*.f64 x x) -1/45)))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/2025)) 1/9) x) (+.f64 (*.f64 (*.f64 x x) -1/45) 1/3))
(/.f64 (*.f64 (+.f64 -1/27 (neg.f64 (*.f64 (pow.f64 x 6) 1/91125))) x) (neg.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9)) 1) (fma.f64 1/45 (*.f64 x x) -1/3))
(/.f64 (*.f64 (*.f64 x (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) 1) (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9)) 1) (*.f64 x (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 1/3) 3)) 1) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x 1/3) (-.f64 (*.f64 x 1/3) (*.f64 1/45 (pow.f64 x 3))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9)) (*.f64 x (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (*.f64 x (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (sqrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9)) 1) (fma.f64 1/45 (*.f64 x x) -1/3))
(/.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9)) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3))) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9)) (*.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (/.f64 (*.f64 x (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) 1) (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))
(/.f64 (/.f64 (*.f64 x (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (sqrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))) (sqrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (/.f64 (*.f64 x (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (*.f64 (cbrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))) (cbrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))) (cbrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/9) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 x 1/3) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1))
(pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))
(fma.f64 x (*.f64 x (*.f64 x 1/45)) (*.f64 x 1/3))
(fma.f64 (*.f64 x (*.f64 x 1/45)) x (*.f64 x 1/3))
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/45)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/45)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/45)))) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/45))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/45)))) 1))
(pow.f64 (*.f64 x (*.f64 x 1/45)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/45)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/2025))
(log.f64 (pow.f64 (exp.f64 1/45) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/45)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/91125))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/45))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/45))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/45))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/45)))) 2/3)
(-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) 1/2025)) (/.f64 1/9 (fma.f64 1/45 (*.f64 x x) -1/3)))
(-.f64 (+.f64 1/3 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/45))))) 1)
(*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1)
(*.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
(*.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) (/.f64 1 (fma.f64 1/45 (*.f64 x x) -1/3)))
(*.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (/.f64 1 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(*.f64 (+.f64 1/9 (*.f64 -1/2025 (pow.f64 x 4))) (/.f64 1 (+.f64 1/3 (*.f64 (*.f64 x x) -1/45))))
(*.f64 (/.f64 1 (fma.f64 1/45 (*.f64 x x) -1/3)) (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9))
(*.f64 (/.f64 1 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))) (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))
(*.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/2025)) 1/9) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/45) 1/3)))
(*.f64 (+.f64 -1/27 (neg.f64 (*.f64 (pow.f64 x 6) 1/91125))) (/.f64 1 (neg.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9)) (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) (+.f64 (*.f64 (pow.f64 x 6) 1/91125) -1/27)) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) 1/9) (*.f64 (*.f64 x x) 1/135)))
(*.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (-.f64 (*.f64 (pow.f64 x 8) 1/4100625) (pow.f64 (+.f64 1/9 (*.f64 (*.f64 x x) -1/135)) 2))) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) (*.f64 (*.f64 x x) 1/135)))
(*.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/2025) 3) (pow.f64 (+.f64 1/9 (*.f64 (*.f64 x x) -1/135)) 3))) (+.f64 (*.f64 (pow.f64 x 8) 1/4100625) (*.f64 (+.f64 1/9 (*.f64 (*.f64 x x) -1/135)) (-.f64 (+.f64 1/9 (*.f64 (*.f64 x x) -1/135)) (*.f64 (pow.f64 x 4) 1/2025)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (sqrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (*.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (sqrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3) 1/6))
(/.f64 1 (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)) 1))
(/.f64 1 (/.f64 (+.f64 1/3 (*.f64 (*.f64 x x) -1/45)) (+.f64 1/9 (*.f64 -1/2025 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) -1/45) 1/3) (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/2025)) 1/9)))
(/.f64 1 (/.f64 (neg.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))) (+.f64 -1/27 (neg.f64 (*.f64 (pow.f64 x 6) 1/91125)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) (fma.f64 1/45 (*.f64 x x) -1/3))
(/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9)) (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9))))
(/.f64 (sqrt.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (/.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))) (sqrt.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9))) (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (cbrt.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))) (/.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))) (cbrt.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))))
(/.f64 (+.f64 1/9 (*.f64 -1/2025 (pow.f64 x 4))) (+.f64 1/3 (*.f64 (*.f64 x x) -1/45)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 2) -1/729) (*.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))) (+.f64 (*.f64 (pow.f64 x 6) 1/91125) -1/27)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/4100625) -1/81) (*.f64 (fma.f64 1/45 (*.f64 x x) -1/3) (+.f64 (*.f64 (pow.f64 x 4) 1/2025) 1/9)))
(/.f64 (+.f64 1/19683 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 3)) (*.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 2) (-.f64 1/729 (*.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/2025) 3) -1/729) (*.f64 (fma.f64 1/45 (*.f64 x x) -1/3) (+.f64 (*.f64 (pow.f64 x 8) 1/4100625) (+.f64 1/81 (*.f64 (pow.f64 x 4) 1/18225)))))
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/2025)) 1/9) (+.f64 (*.f64 (*.f64 x x) -1/45) 1/3))
(/.f64 (+.f64 -1/27 (neg.f64 (*.f64 (pow.f64 x 6) 1/91125))) (neg.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (*.f64 1 (+.f64 1/9 (*.f64 -1/2025 (pow.f64 x 4)))) (+.f64 1/3 (*.f64 (*.f64 x x) -1/45)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9))) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (sqrt.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))) (sqrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9))) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (cbrt.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))) (cbrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (*.f64 (+.f64 1/9 (*.f64 -1/2025 (pow.f64 x 4))) 1) (+.f64 1/3 (*.f64 (*.f64 x x) -1/45)))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/2025)) 1/9) 1) (+.f64 (*.f64 (*.f64 x x) -1/45) 1/3))
(/.f64 (*.f64 (+.f64 -1/27 (neg.f64 (*.f64 (pow.f64 x 6) 1/91125))) 1) (neg.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9)) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (sqrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9)) (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2)) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2)) (cbrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/4100625) -1/81) (/.f64 1 (fma.f64 1/45 (*.f64 x x) -1/3))) (+.f64 (*.f64 (pow.f64 x 4) 1/2025) 1/9))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/2025) 3) -1/729) (/.f64 1 (fma.f64 1/45 (*.f64 x x) -1/3))) (+.f64 (*.f64 (pow.f64 x 8) 1/4100625) (+.f64 1/81 (*.f64 (pow.f64 x 4) 1/18225))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 2) -1/729) (/.f64 1 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))) (+.f64 (*.f64 (pow.f64 x 6) 1/91125) -1/27))
(/.f64 (*.f64 (+.f64 1/19683 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 3)) (/.f64 1 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 2) (-.f64 1/729 (*.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) 1) (fma.f64 1/45 (*.f64 x x) -1/3))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3))) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) (*.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) 1) (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (sqrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))) (sqrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (*.f64 (cbrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))) (cbrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))) (cbrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (exp.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) 1/2025)) (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) 1/2025))) (*.f64 (/.f64 1/9 (fma.f64 1/45 (*.f64 x x) -1/3)) (/.f64 1/9 (fma.f64 1/45 (*.f64 x x) -1/3)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) 1/2025)) (/.f64 1/9 (fma.f64 1/45 (*.f64 x x) -1/3))))
(pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 3)
(pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) (+.f64 (*.f64 (*.f64 x x) -1/45) 1/3)))
(neg.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (neg.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))))
(sqrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2))
(log.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))
(cbrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
(exp.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
(log1p.f64 (expm1.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 (*.f64 x x) 1/45 1/3)
(fma.f64 1 (*.f64 x (*.f64 x 1/45)) 1/3)
(fma.f64 (*.f64 x (sqrt.f64 1/45)) (*.f64 x (sqrt.f64 1/45)) 1/3)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/2025)) (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 1/3)
(fma.f64 (*.f64 x 1/45) x 1/3)
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 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.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 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.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 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.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 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
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(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/756680642578125 1/19683) (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) (fma.f64 x (*.f64 x -1/135) 1/9)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 2) (-.f64 1/729 (*.f64 (pow.f64 x 6) 1/2460375)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/756680642578125 1/19683) (+.f64 (*.f64 (pow.f64 x 4) 1/2025) (fma.f64 x (*.f64 x -1/135) 1/9))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 2) (-.f64 1/729 (*.f64 (pow.f64 x 6) 1/2460375))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) 1) (fma.f64 1/45 (*.f64 x x) -1/3))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/2025 -1/9) 1) (fma.f64 1/45 (*.f64 x x) -1/3))
(/.f64 (fma.f64 (pow.f64 x 4) 1/2025 -1/9) (fma.f64 x (*.f64 x 1/45) -1/3))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3))) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/2025 -1/9) 1) (fma.f64 1/45 (*.f64 x x) -1/3))
(/.f64 (fma.f64 (pow.f64 x 4) 1/2025 -1/9) (fma.f64 x (*.f64 x 1/45) -1/3))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) (*.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/2025 -1/9) 1) (fma.f64 1/45 (*.f64 x x) -1/3))
(/.f64 (fma.f64 (pow.f64 x 4) 1/2025 -1/9) (fma.f64 x (*.f64 x 1/45) -1/3))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) 1) (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))
(*.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (/.f64 1 (+.f64 1/9 (fma.f64 (*.f64 x x) -1/135 (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (+.f64 (*.f64 (pow.f64 x 4) 1/2025) (fma.f64 x (*.f64 x -1/135) 1/9)))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (sqrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))) (sqrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(*.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (/.f64 1 (+.f64 1/9 (fma.f64 (*.f64 x x) -1/135 (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (+.f64 (*.f64 (pow.f64 x 4) 1/2025) (fma.f64 x (*.f64 x -1/135) 1/9)))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (*.f64 (cbrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))) (cbrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))) (cbrt.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025)))))
(*.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (/.f64 1 (+.f64 1/9 (fma.f64 (*.f64 x x) -1/135 (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (+.f64 (*.f64 (pow.f64 x 4) 1/2025) (fma.f64 x (*.f64 x -1/135) 1/9)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (exp.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (fma.f64 1/45 (*.f64 x x) 1/3)) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) 1/2025)) (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) 1/2025))) (*.f64 (/.f64 1/9 (fma.f64 1/45 (*.f64 x x) -1/3)) (/.f64 1/9 (fma.f64 1/45 (*.f64 x x) -1/3)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) 1/2025)) (/.f64 1/9 (fma.f64 1/45 (*.f64 x x) -1/3))))
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 1/45 (*.f64 x x) -1/3)) 1/2025) (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 1/45 (*.f64 x x) -1/3)) 1/2025) (neg.f64 (*.f64 (/.f64 1/9 (fma.f64 1/45 (*.f64 x x) -1/3)) (/.f64 1/9 (fma.f64 1/45 (*.f64 x x) -1/3))))) (+.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 1/45 (*.f64 x x) -1/3)) 1/2025) (/.f64 1/9 (fma.f64 1/45 (*.f64 x x) -1/3))))
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 x (*.f64 x 1/45) -1/3) 1/2025)) (/.f64 (fma.f64 x (*.f64 x 1/45) -1/3) 1/2025)) (/.f64 (/.f64 1/81 (fma.f64 x (*.f64 x 1/45) -1/3)) (fma.f64 x (*.f64 x 1/45) -1/3))) (fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/45) -1/3)) 1/2025 (/.f64 1/9 (fma.f64 x (*.f64 x 1/45) -1/3))))
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x 8) (fma.f64 x (*.f64 x 1/45) -1/3)) (fma.f64 x (*.f64 x 1/45) -1/3)) 1/4100625) (/.f64 (/.f64 -1/81 (fma.f64 x (*.f64 x 1/45) -1/3)) (fma.f64 x (*.f64 x 1/45) -1/3))) (fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/45) -1/3)) 1/2025 (/.f64 1/9 (fma.f64 x (*.f64 x 1/45) -1/3))))
(pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1)
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2)
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 3)
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3) 1/3)
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/2025) -1/9) (+.f64 (*.f64 (*.f64 x x) -1/45) 1/3)))
(/.f64 (+.f64 1/9 (*.f64 (pow.f64 x 4) -1/2025)) (fma.f64 (*.f64 x x) -1/45 1/3))
(/.f64 (fma.f64 (pow.f64 x 4) -1/2025 1/9) (fma.f64 (*.f64 x x) -1/45 1/3))
(/.f64 (fma.f64 (pow.f64 x 4) -1/2025 1/9) (fma.f64 x (*.f64 x -1/45) 1/3))
(neg.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)) (neg.f64 (+.f64 1/9 (+.f64 (*.f64 (*.f64 x x) -1/135) (*.f64 (pow.f64 x 4) 1/2025))))))
(/.f64 (+.f64 -1/27 (*.f64 (pow.f64 x 6) -1/91125)) (+.f64 -1/9 (neg.f64 (fma.f64 (*.f64 x x) -1/135 (*.f64 (pow.f64 x 4) 1/2025)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/91125 -1/27) (-.f64 -1/9 (fma.f64 (pow.f64 x 4) 1/2025 (*.f64 x (*.f64 x -1/135)))))
(sqrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2))
(fabs.f64 (fma.f64 x (*.f64 x 1/45) 1/3))
(log.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(expm1.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(exp.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(log1p.f64 (expm1.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(fma.f64 (*.f64 x x) 1/45 1/3)
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(fma.f64 1 (*.f64 x (*.f64 x 1/45)) 1/3)
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(fma.f64 (*.f64 x (sqrt.f64 1/45)) (*.f64 x (sqrt.f64 1/45)) 1/3)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/45)) 2) 1/3)
(+.f64 1/3 (pow.f64 (*.f64 x (sqrt.f64 1/45)) 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/2025)) (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 1/3)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/2025)) (cbrt.f64 (*.f64 1/45 (*.f64 x x))) 1/3)
(fma.f64 (*.f64 x 1/45) x 1/3)
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 1/3 x)
✓30.4b
(*.f64 (/.f64 1/3 x) (*.f64 x x))
Compiler

Compiled 16 to 8 computations (50% saved)

series0.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite86.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1466×add-sqr-sqrt
1440×*-un-lft-identity
1350×add-cube-cbrt
1334×add-cbrt-cube
1322×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0726
115126
2190926
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 (/.f64 1/3 x) (*.f64 x x))
(/.f64 1/3 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -1/3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 (*.f64 x x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (/.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.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 (/.f64 1 x))))) (#(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 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))))) (#(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 (/.f64 1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 x)))))) (#(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 pow.f64 (*.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 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)))))))

simplify93.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1136×associate-/l*
974×unswap-sqr
876×associate-*r/
760×associate-+r-
746×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0100657
1245537
21252405
37078405
Stop Event
1×node limit
Counts
55 → 48
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 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 1)
(/.f64 1/3 (/.f64 x (*.f64 x x)))
(/.f64 (*.f64 x x) (*.f64 x 3))
(/.f64 1 (/.f64 x (*.f64 1/3 (*.f64 x x))))
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(/.f64 (*.f64 (*.f64 x x) -1/3) (neg.f64 x))
(/.f64 (*.f64 -1/3 (*.f64 x x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) 1) x)
(/.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 1/3 (*.f64 x x))) (neg.f64 x))
(pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) (/.f64 1/9 (*.f64 x x))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 1/3 x)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))))
(-.f64 (+.f64 1 (/.f64 1/3 x)) 1)
(*.f64 1/3 (/.f64 1 x))
(*.f64 (/.f64 1/3 x) 1)
(*.f64 1 (/.f64 1/3 x))
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))
(*.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 (/.f64 1 x) 1/3)
(*.f64 -1/3 (/.f64 1 (neg.f64 x)))
(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)
(pow.f64 (*.f64 x 3) -1)
(sqrt.f64 (/.f64 1/9 (*.f64 x x)))
(log.f64 (exp.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)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 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 (+.f64 1 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 1)
(*.f64 1/3 x)
(/.f64 1/3 (/.f64 x (*.f64 x x)))
(*.f64 1/3 x)
(/.f64 (*.f64 x x) (*.f64 x 3))
(*.f64 1/3 x)
(/.f64 1 (/.f64 x (*.f64 1/3 (*.f64 x x))))
(*.f64 1/3 x)
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(*.f64 1/3 x)
(/.f64 (*.f64 (*.f64 x x) -1/3) (neg.f64 x))
(*.f64 1/3 x)
(/.f64 (*.f64 -1/3 (*.f64 x x)) (neg.f64 x))
(*.f64 1/3 x)
(/.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) 1) x)
(*.f64 1/3 x)
(/.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/3 x)
(/.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/3 x)
(/.f64 (neg.f64 (*.f64 1/3 (*.f64 x x))) (neg.f64 x))
(*.f64 1/3 x)
(pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 1)
(*.f64 1/3 x)
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 x))) 2)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 3)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 3) 1/3)
(*.f64 1/3 x)
(sqrt.f64 (*.f64 (pow.f64 x 4) (/.f64 1/9 (*.f64 x x))))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 1/3 x)))
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))))
(*.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))))
(*.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 (/.f64 1 x))
(+.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 (/.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 (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 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 (/.f64 1 x) 1/3)
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 -1/3 (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (/.f64 1/3 x) 1)
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (*.f64 x 3) -1)
(+.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)))
(log.f64 (exp.f64 (/.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)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x x) 1/9)
✓30.3b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite59.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1384×add-sqr-sqrt
1364×*-un-lft-identity
1274×add-cube-cbrt
1264×add-cbrt-cube
1252×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
116120
2184720
Stop Event
1×node limit
Counts
2 → 41
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(*.f64 (*.f64 x x) 1/9)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 1/9) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))))) (#(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 x (*.f64 x 1/9))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.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 x (*.f64 x 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/9))))))))

simplify83.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1590×distribute-lft-in
1554×distribute-rgt-in
1336×fma-def
864×unswap-sqr
526×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091685
1205685
2858685
32952685
Stop Event
1×node limit
Counts
65 → 45
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 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 1/9) 1/2))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 (sqrt.f64 (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 (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 x (*.f64 x 1/9))) 1/2))
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(fabs.f64 (*.f64 x 1/3))
(log.f64 (exp.f64 (*.f64 x 1/3)))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/9))) 1)
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1)
(pow.f64 (*.f64 x 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/81) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 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 x (*.f64 x 1/9)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/9))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/9))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/9))))
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 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 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 1/9) 1/2))
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (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 x (*.f64 x 1/9))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)
(*.f64 1/3 x)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 1/3 x)
(fabs.f64 (*.f64 x 1/3))
(*.f64 1/3 x)
(log.f64 (exp.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/2))
(*.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/9))) 1)
(*.f64 x (*.f64 x 1/9))
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1)
(*.f64 x (*.f64 x 1/9))
(pow.f64 (*.f64 x 1/3) 2)
(*.f64 x (*.f64 x 1/9))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 3)
(*.f64 x (*.f64 x 1/9))
(pow.f64 (*.f64 (pow.f64 x 4) 1/81) 1/2)
(*.f64 x (*.f64 x 1/9))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3) 1/3)
(*.f64 x (*.f64 x 1/9))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/81))
(*.f64 x (*.f64 x 1/9))
(log.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))
(*.f64 x (*.f64 x 1/9))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3))
(*.f64 x (*.f64 x 1/9))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 x (*.f64 x 1/9))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 x (*.f64 x 1/9))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1))
(*.f64 x (*.f64 x 1/9))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 x (*.f64 x 1/9))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
✓0.2b
(*.f64 1/3 (sqrt.f64 x))
Compiler

Compiled 16 to 8 computations (50% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite51.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1412×add-sqr-sqrt
1392×*-un-lft-identity
1294×add-cube-cbrt
1278×add-cbrt-cube
1264×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
115818
2180418
Stop Event
1×node limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f64 1/3 (sqrt.f64 x))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 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)))))))

simplify38.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1992×distribute-rgt-in
1980×distribute-lft-in
1146×associate-*r*
996×associate-*l*
640×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064442
1150376
2548304
33489304
Stop Event
1×node limit
Counts
36 → 31
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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(-.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) 1)
(pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3) 1/3)
(sqrt.f64 (*.f64 x 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (sqrt.f64 x))))
(-.f64 (+.f64 1 (*.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))
(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)))
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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 1/3 x)
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 1/3 x)
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 1/3 x)
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) 1)
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1)
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0)
(*.f64 1/3 (sqrt.f64 x))
(pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1)
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1)
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0)
(*.f64 1/3 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 x))) 2)
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1)
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0)
(*.f64 1/3 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))) 3)
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1)
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0)
(*.f64 1/3 (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1)
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0)
(*.f64 1/3 (sqrt.f64 x))
(sqrt.f64 (*.f64 x 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 x)))
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1)
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0)
(*.f64 1/3 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3))
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1)
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0)
(*.f64 1/3 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 x))))
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1)
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0)
(*.f64 1/3 (sqrt.f64 x))
(exp.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x))))
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1)
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0)
(*.f64 1/3 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x))) 1))
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1)
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0)
(*.f64 1/3 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (*.f64 1/3 (sqrt.f64 x))))
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1)
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0)
(*.f64 1/3 (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.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)))
(sqrt.f64 (pow.f64 (*.f64 1/3 x) 2))
(fabs.f64 (*.f64 1/3 x))
(log.f64 (pow.f64 (exp.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)
(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)

localize62.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (*.f64 x (sqrt.f64 1/3)) x)
✓0.4b
(*.f64 x (sqrt.f64 1/3))
✓0.4b
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) x))
Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite72.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
954×*-commutative
760×unswap-sqr
650×associate-/l/
640×swap-sqr
640×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01161
123547
2273623
Stop Event
1×node limit
Counts
3 → 168
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) x))
(*.f64 x (sqrt.f64 1/3))
(/.f64 (*.f64 x (sqrt.f64 1/3)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 x (sqrt.f64 1/3)) (*.f64 x (sqrt.f64 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 1 (/.f64 (/.f64 x (sqrt.f64 1/3)) (*.f64 x (sqrt.f64 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/3) (/.f64 (pow.f64 1/3 -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 1/3 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x 1/3)) (/.f64 1 (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (*.f64 (pow.f64 1/3 -1/2) (/.f64 (pow.f64 1/3 -1/2) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 x (*.f64 (sqrt.f64 1/3) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) (*.f64 (pow.f64 1/3 -1/2) (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (/.f64 1 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (pow.f64 1/3 -1/2) (/.f64 (pow.f64 1/3 -1/2) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 x (*.f64 (sqrt.f64 1/3) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (*.f64 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#<rule egg-rr> (2) ((x sqrt.f64 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sqrt.f64 1/3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 1/3)))))))

simplify139.0ms (1%)

Algorithm
1×egg-herbie
Rules
1096×associate-*r*
1022×associate-+r+
808×associate-*l*
774×associate-/l*
610×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03594056
19283412
262223412
Stop Event
1×node limit
Counts
204 → 230
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(/.f64 x (/.f64 (/.f64 x (sqrt.f64 1/3)) (*.f64 x (sqrt.f64 1/3))))
(/.f64 x 3)
(/.f64 x (*.f64 1 (/.f64 (/.f64 x (sqrt.f64 1/3)) (*.f64 x (sqrt.f64 1/3)))))
(/.f64 (sqrt.f64 1/3) (/.f64 (pow.f64 1/3 -1/2) x))
(/.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 1/3 -1/2))
(/.f64 1 (*.f64 (/.f64 1 x) 3))
(/.f64 (*.f64 x 1/3) 1)
(/.f64 (sqrt.f64 (*.f64 x 1/3)) (/.f64 1 (sqrt.f64 (*.f64 x 1/3))))
(/.f64 (sqrt.f64 x) (*.f64 (pow.f64 1/3 -1/2) (/.f64 (pow.f64 1/3 -1/2) (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 x (*.f64 (sqrt.f64 1/3) (sqrt.f64 x)))))
(/.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) (*.f64 (pow.f64 1/3 -1/2) (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x))))
(/.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 1/3))))))
(/.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (/.f64 1 (cbrt.f64 (*.f64 x 1/3))))
(/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (pow.f64 1/3 -1/2) (/.f64 (pow.f64 1/3 -1/2) (cbrt.f64 x))))
(/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 x (*.f64 (sqrt.f64 1/3) (cbrt.f64 x)))))
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (*.f64 (pow.f64 1/3 -1/2) (cbrt.f64 (/.f64 (pow.f64 1/3 -1/2) x))))
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 x (cbrt.f64 (*.f64 x (sqrt.f64 1/3))))))
(/.f64 (*.f64 x x) (/.f64 (/.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3)))
(/.f64 (*.f64 x x) (*.f64 x 3))
(/.f64 (*.f64 x x) (*.f64 1 (/.f64 (/.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))))
(/.f64 (*.f64 x (*.f64 x 1/3)) x)
(/.f64 (/.f64 1 x) (*.f64 (pow.f64 x -2) 3))
(/.f64 (*.f64 (sqrt.f64 1/3) (neg.f64 x)) (/.f64 -1 (sqrt.f64 1/3)))
(/.f64 -1 (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 -1 (sqrt.f64 1/3))))
(/.f64 -1 (*.f64 (pow.f64 1/3 -1/2) (/.f64 -1 (*.f64 x (sqrt.f64 1/3)))))
(/.f64 -1 (*.f64 (/.f64 -1 (sqrt.f64 1/3)) (/.f64 (pow.f64 1/3 -1/2) x)))
(/.f64 (neg.f64 x) (*.f64 (pow.f64 1/3 -1/2) (/.f64 -1 (sqrt.f64 1/3))))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 (neg.f64 x) (sqrt.f64 1/3))))
(/.f64 (neg.f64 x) (*.f64 (/.f64 -1 (sqrt.f64 1/3)) (pow.f64 1/3 -1/2)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 1/3 1/4)) (sqrt.f64 (pow.f64 1/3 -1/2)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 1/3)) (cbrt.f64 1/3)) (cbrt.f64 (pow.f64 1/3 -1/2)))
(/.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (*.f64 x (sqrt.f64 1/3)))) (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)))
(/.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (*.f64 x (*.f64 x 1/3)))) (cbrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)))
(/.f64 (*.f64 x (*.f64 x (sqrt.f64 1/3))) (/.f64 x (sqrt.f64 1/3)))
(/.f64 (*.f64 x -1/3) -1)
(/.f64 (*.f64 (*.f64 x x) -1/3) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 x) 3)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 (*.f64 x x)) 3)) (cbrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 1/3) (/.f64 (cbrt.f64 (*.f64 x x)) x)) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (cbrt.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 1/3)) (/.f64 -1 (*.f64 x (sqrt.f64 1/3))))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 1/3) (neg.f64 x))) (/.f64 (neg.f64 x) (sqrt.f64 1/3)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) (exp.f64 (log1p.f64 (*.f64 x 1/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.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)
(neg.f64 (*.f64 x -1/3))
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(log.f64 (exp.f64 (*.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/3) 1/3) (pow.f64 (*.f64 x (sqrt.f64 1/3)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/3)))) -1)
(-.f64 0 (*.f64 (sqrt.f64 1/3) (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/3)))) 1)
(/.f64 x (pow.f64 1/3 -1/2))
(/.f64 (sqrt.f64 1/3) (/.f64 1 x))
(/.f64 (*.f64 x (sqrt.f64 1/3)) 1)
(/.f64 1 (/.f64 (pow.f64 1/3 -1/2) x))
(/.f64 (sqrt.f64 x) (/.f64 (pow.f64 1/3 -1/2) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (pow.f64 1/3 -1/2) (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)) (sqrt.f64 (pow.f64 1/3 -1/2))))
(/.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (pow.f64 1/3 -1/2) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 1 (/.f64 (pow.f64 1/3 -1/2) (cbrt.f64 x))))
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)))
(/.f64 (*.f64 (sqrt.f64 1/3) (neg.f64 x)) -1)
(/.f64 -1 (/.f64 -1 (*.f64 x (sqrt.f64 1/3))))
(/.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 1/3)))
(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/3) (neg.f64 x))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)) (sqrt.f64 -1)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/3)))) (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/3)))) 1))
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 1/3 -1/2) x) -1)
(neg.f64 (*.f64 (sqrt.f64 1/3) (neg.f64 x)))
(sqrt.f64 (*.f64 x (*.f64 x 1/3)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/3) 1/3)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/3))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/3))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/3))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 1/3))) -1)
(-.f64 0 (neg.f64 (sqrt.f64 1/3)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 1/3))) 1)
(*.f64 x (/.f64 (sqrt.f64 1/3) x))
(*.f64 (sqrt.f64 1/3) 1)
(*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 x))
(*.f64 1 (sqrt.f64 1/3))
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 1/3 1/4) (pow.f64 1/3 1/4))
(*.f64 (sqrt.f64 x) (/.f64 1 (/.f64 x (*.f64 (sqrt.f64 1/3) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) (/.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) x))
(*.f64 (cbrt.f64 (sqrt.f64 1/3)) (cbrt.f64 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 1/3)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 (sqrt.f64 1/3)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (/.f64 x (*.f64 (sqrt.f64 1/3) (cbrt.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/3))) x))
(*.f64 (/.f64 1 x) (*.f64 x (sqrt.f64 1/3)))
(*.f64 (*.f64 (sqrt.f64 1/3) (neg.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 -1 (neg.f64 (sqrt.f64 1/3)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 1/3))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (*.f64 x 1/3)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 x (/.f64 (cbrt.f64 x) (sqrt.f64 1/3))))
(*.f64 (/.f64 (sqrt.f64 1/3) (/.f64 (cbrt.f64 (*.f64 x x)) x)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 1/3) x) x)
(*.f64 (/.f64 (sqrt.f64 1/3) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 1/3) (cbrt.f64 x)) (/.f64 x (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 x (/.f64 (cbrt.f64 x) (sqrt.f64 1/3))) (/.f64 1 (cbrt.f64 (*.f64 x x))))
(*.f64 (neg.f64 (sqrt.f64 1/3)) -1)
(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sqrt.f64 1/3) (neg.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (sqrt.f64 1/3) (sqrt.f64 x)))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 1/3) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 1/3) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 x (cbrt.f64 x)) (/.f64 (sqrt.f64 1/3) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 1/3) (/.f64 (cbrt.f64 (*.f64 x x)) x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) x) (sqrt.f64 (*.f64 x (sqrt.f64 1/3))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/3))) x) (cbrt.f64 (*.f64 x (*.f64 x 1/3))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/3))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/3))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (sqrt.f64 1/3)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 1/3 1/4))) (pow.f64 1/3 1/4))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 1/3))) (cbrt.f64 (sqrt.f64 1/3)))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 1/3)))
(*.f64 (/.f64 x (/.f64 x (pow.f64 1/3 1/4))) (pow.f64 1/3 1/4))
(*.f64 (/.f64 x (/.f64 x (cbrt.f64 1/3))) (cbrt.f64 (sqrt.f64 1/3)))
(*.f64 (/.f64 1 (/.f64 x (cbrt.f64 (*.f64 x (*.f64 x 1/3))))) (cbrt.f64 (*.f64 x (sqrt.f64 1/3))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 x (sqrt.f64 1/3))) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 x (sqrt.f64 1/3))) (cbrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) x) (cbrt.f64 (*.f64 x (sqrt.f64 1/3))))
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 x (sqrt.f64 1/3)))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 x)) (sqrt.f64 1/3))
(*.f64 (/.f64 (/.f64 1 x) -1) (*.f64 (sqrt.f64 1/3) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x))) (sqrt.f64 (*.f64 x (sqrt.f64 1/3))))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 (*.f64 x (*.f64 x 1/3))))) (cbrt.f64 (*.f64 x (sqrt.f64 1/3))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 1/3))) (cbrt.f64 (sqrt.f64 1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 1/3))) (cbrt.f64 (sqrt.f64 1/3))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 1/3 1/4)) (sqrt.f64 (cbrt.f64 1/3))) (*.f64 (cbrt.f64 (pow.f64 1/3 1/4)) (sqrt.f64 (cbrt.f64 1/3))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/3)) (sqrt.f64 (cbrt.f64 (sqrt.f64 1/3)))) (*.f64 (cbrt.f64 (sqrt.f64 1/3)) (sqrt.f64 (cbrt.f64 (sqrt.f64 1/3)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 1/3)) (cbrt.f64 (pow.f64 1/3 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 1/3)) (cbrt.f64 (pow.f64 1/3 1/4))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 1/3) 1/3) 1/6) (pow.f64 (*.f64 (sqrt.f64 1/3) 1/3) 1/6))
(*.f64 (pow.f64 (pow.f64 1/3 -1/2) -1/2) (pow.f64 (pow.f64 1/3 -1/2) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 1/3)) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 1/3)) 3/2))
(pow.f64 (sqrt.f64 1/3) 1)
(pow.f64 (pow.f64 1/3 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 1/3)) 3)
(pow.f64 1/3 1/2)
(pow.f64 (*.f64 (sqrt.f64 1/3) 1/3) 1/3)
(pow.f64 (pow.f64 1/3 -1/2) -1)
(neg.f64 (neg.f64 (sqrt.f64 1/3)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 1/3)) 1))
(sqrt.f64 1/3)
(log.f64 (exp.f64 (sqrt.f64 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1/3))))
(cbrt.f64 (*.f64 (sqrt.f64 1/3) 1/3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (sqrt.f64 1/3)))
(exp.f64 (log.f64 (sqrt.f64 1/3)))
(log1p.f64 (expm1.f64 (sqrt.f64 1/3)))
Outputs
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(*.f64 (sqrt.f64 1/3) x)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(sqrt.f64 1/3)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) -1)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 x (/.f64 (/.f64 x (sqrt.f64 1/3)) (*.f64 x (sqrt.f64 1/3))))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 x (*.f64 1 (/.f64 (/.f64 x (sqrt.f64 1/3)) (*.f64 x (sqrt.f64 1/3)))))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (sqrt.f64 1/3) (/.f64 (pow.f64 1/3 -1/2) x))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 1/3 -1/2)) x)
(*.f64 (sqrt.f64 1/3) (/.f64 x (pow.f64 1/3 -1/2)))
(/.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 1/3 -1/2))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 1/3 -1/2)) x)
(*.f64 (sqrt.f64 1/3) (/.f64 x (pow.f64 1/3 -1/2)))
(/.f64 1 (*.f64 (/.f64 1 x) 3))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (*.f64 x 1/3) 1)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (sqrt.f64 (*.f64 x 1/3)) (/.f64 1 (sqrt.f64 (*.f64 x 1/3))))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (sqrt.f64 x) (*.f64 (pow.f64 1/3 -1/2) (/.f64 (pow.f64 1/3 -1/2) (sqrt.f64 x))))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 1/3 -1/2)) (/.f64 (pow.f64 1/3 -1/2) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 3) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 x (*.f64 (sqrt.f64 1/3) (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 1/3 -1/2)) x)
(*.f64 (sqrt.f64 1/3) (/.f64 x (pow.f64 1/3 -1/2)))
(/.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) (*.f64 (pow.f64 1/3 -1/2) (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/3) x)) (pow.f64 1/3 -1/2)) (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)))
(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/3) x)) (*.f64 (pow.f64 1/3 -1/2) (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x))))
(/.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/3))) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 1/3))))))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 1/3 -1/2)) x)
(*.f64 (sqrt.f64 1/3) (/.f64 x (pow.f64 1/3 -1/2)))
(/.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (/.f64 1 (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 1) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (cbrt.f64 (*.f64 1/3 x)))
(/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (pow.f64 1/3 -1/2) (/.f64 (pow.f64 1/3 -1/2) (cbrt.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 1/3 -1/2)) (/.f64 (pow.f64 1/3 -1/2) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 3) (cbrt.f64 x))
(/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 x (*.f64 (sqrt.f64 1/3) (cbrt.f64 x)))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (pow.f64 1/3 -1/2) x)) (/.f64 x (*.f64 (sqrt.f64 1/3) (cbrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 (pow.f64 1/3 -1/2) x) x)) (*.f64 (sqrt.f64 1/3) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (*.f64 (pow.f64 1/3 -1/2) (cbrt.f64 (/.f64 (pow.f64 1/3 -1/2) x))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 x))) (pow.f64 1/3 -1/2)) (cbrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)))
(/.f64 (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (pow.f64 1/3 -1/2)) (cbrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)))
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 x (cbrt.f64 (*.f64 x (sqrt.f64 1/3))))))
(/.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 x))) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 x (cbrt.f64 (*.f64 (sqrt.f64 1/3) x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (/.f64 (*.f64 (pow.f64 1/3 -1/2) x) x)) (cbrt.f64 (*.f64 (sqrt.f64 1/3) x)))
(/.f64 (*.f64 x x) (/.f64 (/.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3)))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (*.f64 x x) (*.f64 x 3))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (*.f64 x x) (*.f64 1 (/.f64 (/.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (*.f64 x (*.f64 x 1/3)) x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (/.f64 1 x) (*.f64 (pow.f64 x -2) 3))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (*.f64 (sqrt.f64 1/3) (neg.f64 x)) (/.f64 -1 (sqrt.f64 1/3)))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 -1 (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 -1 (sqrt.f64 1/3))))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 1/3 -1/2)) x)
(*.f64 (sqrt.f64 1/3) (/.f64 x (pow.f64 1/3 -1/2)))
(/.f64 -1 (*.f64 (pow.f64 1/3 -1/2) (/.f64 -1 (*.f64 x (sqrt.f64 1/3)))))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 1/3 -1/2)) x)
(*.f64 (sqrt.f64 1/3) (/.f64 x (pow.f64 1/3 -1/2)))
(/.f64 -1 (*.f64 (/.f64 -1 (sqrt.f64 1/3)) (/.f64 (pow.f64 1/3 -1/2) x)))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 1/3 -1/2)) x)
(*.f64 (sqrt.f64 1/3) (/.f64 x (pow.f64 1/3 -1/2)))
(/.f64 (neg.f64 x) (*.f64 (pow.f64 1/3 -1/2) (/.f64 -1 (sqrt.f64 1/3))))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 1/3 -1/2)) x)
(*.f64 (sqrt.f64 1/3) (/.f64 x (pow.f64 1/3 -1/2)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (/.f64 (neg.f64 x) (sqrt.f64 1/3))))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 1/3 -1/2)) x)
(*.f64 (sqrt.f64 1/3) (/.f64 x (pow.f64 1/3 -1/2)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 -1 (sqrt.f64 1/3)) (pow.f64 1/3 -1/2)))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 1/3 -1/2)) x)
(*.f64 (sqrt.f64 1/3) (/.f64 x (pow.f64 1/3 -1/2)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 1/3 1/4)) (sqrt.f64 (pow.f64 1/3 -1/2)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/3) x) (pow.f64 1/3 1/4)) (sqrt.f64 (pow.f64 1/3 -1/2)))
(/.f64 x (/.f64 (fabs.f64 (pow.f64 1/3 -1/4)) (pow.f64 (pow.f64 1/3 1/4) 3)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 1/3)) (cbrt.f64 1/3)) (cbrt.f64 (pow.f64 1/3 -1/2)))
(/.f64 (*.f64 (sqrt.f64 1/3) x) (/.f64 (cbrt.f64 (pow.f64 1/3 -1/2)) (cbrt.f64 1/3)))
(/.f64 x (/.f64 (/.f64 (cbrt.f64 (pow.f64 1/3 -1/2)) (cbrt.f64 1/3)) (sqrt.f64 1/3)))
(/.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (*.f64 x (sqrt.f64 1/3)))) (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)))
(/.f64 (sqrt.f64 1/3) (/.f64 (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)) (sqrt.f64 (*.f64 (sqrt.f64 1/3) x))))
(*.f64 (/.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x))) (sqrt.f64 (*.f64 (sqrt.f64 1/3) x)))
(/.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (*.f64 x (*.f64 x 1/3)))) (cbrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)))
(/.f64 (sqrt.f64 1/3) (/.f64 (cbrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)) (cbrt.f64 (*.f64 x (*.f64 1/3 x)))))
(*.f64 (/.f64 (sqrt.f64 1/3) (cbrt.f64 (/.f64 (pow.f64 1/3 -1/2) x))) (cbrt.f64 (*.f64 1/3 (*.f64 x x))))
(/.f64 (*.f64 x (*.f64 x (sqrt.f64 1/3))) (/.f64 x (sqrt.f64 1/3)))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (*.f64 x -1/3) -1)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (*.f64 (*.f64 x x) -1/3) (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 x) 3)) (sqrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 (*.f64 x x)) 3)) (cbrt.f64 x))
(/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (*.f64 3 (cbrt.f64 (*.f64 x x)))))
(/.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 x) 3) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 (sqrt.f64 1/3) (/.f64 (cbrt.f64 (*.f64 x x)) x)) (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (cbrt.f64 x)))
(/.f64 (sqrt.f64 1/3) (*.f64 (*.f64 (/.f64 (pow.f64 1/3 -1/2) x) (cbrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x x)) x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/3) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 1/3 -1/2) x)) (/.f64 x (cbrt.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 1/3)) (/.f64 -1 (*.f64 x (sqrt.f64 1/3))))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (*.f64 x (*.f64 (sqrt.f64 1/3) (neg.f64 x))) (/.f64 (neg.f64 x) (sqrt.f64 1/3)))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) (exp.f64 (log1p.f64 (*.f64 x 1/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1))
(/.f64 (*.f64 (+.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 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1))
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(neg.f64 (*.f64 x -1/3))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(log.f64 (exp.f64 (*.f64 x 1/3)))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/3) 1/3) (pow.f64 (*.f64 x (sqrt.f64 1/3)) 3)))
(cbrt.f64 (*.f64 (*.f64 1/3 (sqrt.f64 1/3)) (pow.f64 (*.f64 (sqrt.f64 1/3) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 1/3 3/2) (pow.f64 (*.f64 (sqrt.f64 1/3) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(*.f64 1/3 x)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/3)))) -1)
(*.f64 (sqrt.f64 1/3) x)
(-.f64 0 (*.f64 (sqrt.f64 1/3) (neg.f64 x)))
(*.f64 (sqrt.f64 1/3) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/3)))) 1)
(*.f64 (sqrt.f64 1/3) x)
(/.f64 x (pow.f64 1/3 -1/2))
(/.f64 (sqrt.f64 1/3) (/.f64 1 x))
(*.f64 (sqrt.f64 1/3) x)
(/.f64 (*.f64 x (sqrt.f64 1/3)) 1)
(*.f64 (sqrt.f64 1/3) x)
(/.f64 1 (/.f64 (pow.f64 1/3 -1/2) x))
(/.f64 x (pow.f64 1/3 -1/2))
(/.f64 (sqrt.f64 x) (/.f64 (pow.f64 1/3 -1/2) (sqrt.f64 x)))
(/.f64 x (pow.f64 1/3 -1/2))
(/.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (pow.f64 1/3 -1/2) (sqrt.f64 x))))
(/.f64 x (pow.f64 1/3 -1/2))
(/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)) (sqrt.f64 (pow.f64 1/3 -1/2))))
(/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 (pow.f64 1/3 -1/2) x)) (fabs.f64 (pow.f64 1/3 -1/4))))
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(sqrt.f64 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 1/3) 1/3))
(cbrt.f64 (*.f64 1/3 (sqrt.f64 1/3)))
(cbrt.f64 (pow.f64 1/3 3/2))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 1/3 (sqrt.f64 1/3)))
(cbrt.f64 (pow.f64 1/3 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 1/3)))
(sqrt.f64 1/3)
(exp.f64 (log.f64 (sqrt.f64 1/3)))
(sqrt.f64 1/3)
(log1p.f64 (expm1.f64 (sqrt.f64 1/3)))
(sqrt.f64 1/3)

eval414.0ms (2.9%)

Compiler

Compiled 11466 to 8503 computations (25.8% saved)

prune223.0ms (1.6%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New6564660
Fresh15217
Picked101
Done6612
Total67812690
Error
0.0b
Counts
690 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓59.8b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
✓59.8b
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
30.5b
(/.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)
0.4b
(/.f64 x 3)
59.4b
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
✓0.4b
(+.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)))
59.4b
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
30.8b
(*.f64 (pow.f64 (*.f64 x 3) -1) (*.f64 x x))
0.5b
(*.f64 x (/.f64 (+.f64 1/9 (*.f64 -1/2025 (pow.f64 x 4))) (+.f64 1/3 (*.f64 (*.f64 x x) -1/45))))
✓0.5b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
Compiler

Compiled 145 to 111 computations (23.4% saved)

regimes38.0ms (0.3%)

Counts
44 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 (/.f64 1/3 x) (*.f64 x x))
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(/.f64 (*.f64 x (*.f64 1/3 x)) x)
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x)))
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(pow.f64 (*.f64 3 (/.f64 1 x)) -1)
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(*.f64 (pow.f64 (*.f64 x 3) -1) (*.f64 x x))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (/.f64 (+.f64 1/9 (*.f64 -1/2025 (pow.f64 x 4))) (+.f64 1/3 (*.f64 (*.f64 x x) -1/45))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (-.f64 (*.f64 -1/5 x) (*.f64 3 (/.f64 1 x))))
(exp.f64 (log.f64 (*.f64 1/3 x)))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 2) x)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(/.f64 (fma.f64 1/45 (pow.f64 x 4) (*.f64 x (*.f64 1/3 x))) x)
(*.f64 (*.f64 x (sqrt.f64 1/3)) (*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 x)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) 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 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))))
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 2) 2)
(*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
(/.f64 (+.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)))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))
(/.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))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))
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:

18.0ms
x
4.0ms
(-.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 494 to 354 computations (28.3% saved)

regimes71.0ms (0.5%)

Counts
40 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 (/.f64 1/3 x) (*.f64 x x))
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(/.f64 (*.f64 x (*.f64 1/3 x)) x)
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x)))
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(pow.f64 (*.f64 3 (/.f64 1 x)) -1)
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(*.f64 (pow.f64 (*.f64 x 3) -1) (*.f64 x x))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (/.f64 (+.f64 1/9 (*.f64 -1/2025 (pow.f64 x 4))) (+.f64 1/3 (*.f64 (*.f64 x x) -1/45))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (-.f64 (*.f64 -1/5 x) (*.f64 3 (/.f64 1 x))))
(exp.f64 (log.f64 (*.f64 1/3 x)))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 2) x)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(/.f64 (fma.f64 1/45 (pow.f64 x 4) (*.f64 x (*.f64 1/3 x))) x)
(*.f64 (*.f64 x (sqrt.f64 1/3)) (*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 x)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) 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 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3))))
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 2) 2)
(*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
(/.f64 (+.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:

57.0ms
x
4.0ms
(-.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 404 to 286 computations (29.2% saved)

regimes26.0ms (0.2%)

Accuracy

Total -61.5b remaining (-13839.8%)

Threshold costs -61.5b (-13839.8%)

Counts
33 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 (/.f64 1/3 x) (*.f64 x x))
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(/.f64 (*.f64 x (*.f64 1/3 x)) x)
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x)))
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(pow.f64 (*.f64 3 (/.f64 1 x)) -1)
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(*.f64 (pow.f64 (*.f64 x 3) -1) (*.f64 x x))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (/.f64 (+.f64 1/9 (*.f64 -1/2025 (pow.f64 x 4))) (+.f64 1/3 (*.f64 (*.f64 x x) -1/45))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 -1/9 (*.f64 x x))) (-.f64 (*.f64 -1/5 x) (*.f64 3 (/.f64 1 x))))
(exp.f64 (log.f64 (*.f64 1/3 x)))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 2) x)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(/.f64 (fma.f64 1/45 (pow.f64 x 4) (*.f64 x (*.f64 1/3 x))) x)
(*.f64 (*.f64 x (sqrt.f64 1/3)) (*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 x)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) x))
Outputs
(/.f64 x 3)
Calls

2 calls:

14.0ms
x
4.0ms
(-.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 292 to 200 computations (31.5% saved)

simplify5.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
023118
132118
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))))
(/.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))))
(/.f64 x 3)
(*.f64 1/3 x)
Compiler

Compiled 46 to 37 computations (19.6% saved)

soundness0.0ms (0%)

end56.0ms (0.4%)

Compiler

Compiled 43 to 34 computations (20.9% saved)

Profiling

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