Details

Time bar (total: 15.0s)

analyze4.0ms (0%)

Algorithm
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)

sample9.7s (64.7%)

Results
8.0s4146×body2048valid
1.1s2112×body1024valid
223.0ms985×body512valid
223.0ms239×body4096valid
136.0ms774×body256valid
Bogosity

preprocess11.0ms (0.1%)

Algorithm
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
saturated
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)

simplify47.0ms (0.3%)

Algorithm
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
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
59.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
59.5b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (tan.f64 x))
2.9b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite79.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify125.0ms (0.8%)

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

Useful iterations: 2 (0.0ms)

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

eval101.0ms (0.7%)

Compiler

Compiled 6041 to 3506 computations (42% saved)

prune44.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2766282
Fresh000
Picked011
Done000
Total2767283
Error
0.3b
Counts
283 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
59.5b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
59.5b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
0.5b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
0.9b
(*.f64 1/3 x)
Compiler

Compiled 151 to 115 computations (23.8% saved)

localize63.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 85 to 68 computations (20% saved)

series5.0ms (0%)

Counts
4 → 0
Calls

12 calls:

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

rewrite76.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01746
136446
2386546
Stop Event
node limit
Counts
4 → 60
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 2/945 (pow.f64 x 5))
(*.f64 1/45 (pow.f64 x 3))
(*.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 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 (sqrt.f64 2/945) (pow.f64 x 5/2)) 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 4/893025 (pow.f64 x 10)))))) (#(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 1/45 (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 (pow.f64 x 3/2) (sqrt.f64 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 (0.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01781094
14681036
215711006
355181006
Stop Event
node limit
Counts
60 → 79
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 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 (sqrt.f64 2/945) (pow.f64 x 5/2)) 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 4/893025 (pow.f64 x 10)))
(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 1/45 (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 (pow.f64 x 3/2) (sqrt.f64 1/45)) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)
(pow.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025))
(log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))
(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 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 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (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 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 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (+.f64 1 (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 (sqrt.f64 2/945) (pow.f64 x 5/2)) 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 4/893025 (pow.f64 x 10)))
(fabs.f64 (*.f64 2/945 (pow.f64 x 5)))
(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 1/45 (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 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (*.f64 2 (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 (pow.f64 x 3/2) (sqrt.f64 1/45)) 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 (pow.f64 x 6) 1/2025))
(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 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))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 6 to 4 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 19 computations (24% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 16 computations (23.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.4%)

Algorithm
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
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)))))))))

simplify90.0ms (0.6%)

Algorithm
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
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))
2.9b
(-.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
@0
(/.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
@-inf
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))

rewrite92.0ms (0.6%)

Algorithm
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
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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (exp.f64 (log1p.f64 x))) 1)))) 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(2) ((x neg.f64 (*.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (/.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))))))

simplify96.0ms (0.6%)

Algorithm
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
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))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(*.f64 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 (tan.f64 x) (neg.f64 x))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) 1 x) 1))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) 1))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) 1))
(+.f64 (neg.f64 x) (tan.f64 x))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (-.f64 (tan.f64 x) x) 1)
(*.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (sqrt.f64 (+.f64 x (neg.f64 (tan.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 x (neg.f64 (tan.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (neg.f64 (tan.f64 x)))) (cbrt.f64 (+.f64 x (neg.f64 (tan.f64 x))))) (neg.f64 (cbrt.f64 (+.f64 x (neg.f64 (tan.f64 x))))))
(*.f64 -1 (+.f64 x (neg.f64 (tan.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3))) (+.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (-.f64 (*.f64 x (+.f64 x (tan.f64 x))) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x (neg.f64 (tan.f64 x))))) (sqrt.f64 (+.f64 x (neg.f64 (tan.f64 x)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 x (neg.f64 (tan.f64 x)))) (cbrt.f64 (+.f64 x (neg.f64 (tan.f64 x)))))) (cbrt.f64 (+.f64 x (neg.f64 (tan.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (tan.f64 x) x) 1)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 1 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (+.f64 x (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 x x)) (neg.f64 (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 x (pow.f64 x 3))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (*.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
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(*.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))))
(fma.f64 2/945 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 4) (*.f64 x (*.f64 1/3 x))))
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 1/4725 (pow.f64 x 8)))))
(fma.f64 2/945 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 4) (fma.f64 1/3 (*.f64 x x) (*.f64 1/4725 (pow.f64 x 8)))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) 1)
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) 1)
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) 1)
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) 1)
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) 1)
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) 1)
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))))
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) 1)
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) 1)
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) 1/45))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/45)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 1/4725))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(+.f64 (tan.f64 x) (neg.f64 x))
(-.f64 (tan.f64 x) x)
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x)
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (tan.f64 x) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x)
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (tan.f64 x) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 2 (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 2 (+.f64 x (neg.f64 x))))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (+.f64 (tan.f64 x) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (+.f64 (tan.f64 x) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x)
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (tan.f64 x) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) 1 x) 1))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(-.f64 (+.f64 (-.f64 (tan.f64 x) x) x) x)
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) 1))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) x) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) 1))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (tan.f64 x) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x))
(+.f64 (neg.f64 x) (tan.f64 x))
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(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.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 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (-.f64 (tan.f64 x) x))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 (/.f64 1 x) 1) (-.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)
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (tan.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (tan.f64 x))))
(/.f64 (*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (tan.f64 x))) (-.f64 (tan.f64 x) x)) (sqrt.f64 (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 1 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (tan.f64 x))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (tan.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 (tan.f64 x))) (+.f64 x (neg.f64 (tan.f64 x))))
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 1 (*.f64 (neg.f64 (tan.f64 x)) x)))
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 -1 x) (tan.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (sin.f64 x)) (*.f64 (-.f64 (tan.f64 x) x) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.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 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (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 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (neg.f64 (sin.f64 x)) x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 (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 (cos.f64 x) (/.f64 (/.f64 1 x) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(/.f64 (*.f64 (-.f64 x (tan.f64 x)) (*.f64 (/.f64 1 x) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (neg.f64 (sin.f64 x)) x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 1)
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 2)
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(pow.f64 (cbrt.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)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3) 1/3)
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x)))
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
(pow.f64 (/.f64 x (-.f64 1 (/.f64 x (tan.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))) (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 (/.f64 x (tan.f64 x))) (/.f64 1 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 (-.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)

eval265.0ms (1.8%)

Compiler

Compiled 10969 to 6212 computations (43.4% saved)

prune121.0ms (0.8%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New56111572
Fresh011
Picked101
Done055
Total56217579
Error
0.1b
Counts
579 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
32.7b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
2.0b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
40.0b
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) (tan.f64 x)) x)
27.7b
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))))
59.5b
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
59.5b
(/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x)
28.1b
(/.f64 (*.f64 x (*.f64 1/3 x)) x)
28.1b
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
0.8b
(/.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))))))
59.5b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
0.5b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
0.9b
(*.f64 1/3 x)
45.3b
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
40.1b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
Compiler

Compiled 328 to 255 computations (22.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 52 to 41 computations (21.2% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite109.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
984×*-commutative
822×unswap-sqr
622×swap-sqr
440×sqr-pow
430×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01227
126827
2314327
Stop Event
node limit
Counts
1 → 86
Calls
Call 1
Inputs
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (-.f64 1 (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (-.f64 1 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (/.f64 (*.f64 1/2025 (pow.f64 x 6)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 2/945 (pow.f64 x 5)) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/45 (pow.f64 x 3) 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simplify95.0ms (0.6%)

Algorithm
egg-herbie
Rules
1658×distribute-lft-in
1626×associate-/r*
1218×associate-*r/
906×associate-*l/
454×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02797163
17976895
233936535
Stop Event
node limit
Counts
89 → 149
Calls
Call 1
Inputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 2/945 (pow.f64 x 5))
(*.f64 2/945 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (-.f64 1 (*.f64 2/945 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (-.f64 1 (*.f64 1/45 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (/.f64 (*.f64 1/2025 (pow.f64 x 6)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(-.f64 (+.f64 (*.f64 2/945 (pow.f64 x 5)) (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 2/945 (pow.f64 x 5))))) 1)
(*.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 1)
(*.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(*.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (/.f64 1 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (/.f64 1 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))
(*.f64 (/.f64 1 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)))
(*.f64 (/.f64 1 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 -1/91125 (pow.f64 (pow.f64 x 3) 3)))) (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (-.f64 (*.f64 16/797493650625 (*.f64 (pow.f64 x 10) (pow.f64 x 10))) (*.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 (pow.f64 x 5) -2/945)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 (pow.f64 x 5) -2/945)))))) (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (*.f64 (pow.f64 x 3) -1/45) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 (pow.f64 x 5) -2/945)))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 10) 4/893025) 3) (pow.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 (pow.f64 x 3) -1/45))) 3))) (+.f64 (*.f64 16/797493650625 (*.f64 (pow.f64 x 10) (pow.f64 x 10))) (*.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 (pow.f64 x 3) -1/45))) (-.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 (pow.f64 x 3) -1/45))) (*.f64 (pow.f64 x 10) 4/893025)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) (sqrt.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))) (*.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) (sqrt.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 3) 1/6))
(/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 1 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))
(/.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) (/.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (/.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025))) (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))))) (/.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)))) (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) (pow.f64 (pow.f64 x 5) 3)) 64/712181767349390625) (*.f64 (*.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 6) (pow.f64 x 6))) 1/8303765625)) (*.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 -1/91125 (pow.f64 (pow.f64 x 3) 3)))))
(/.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 -4/893025 (pow.f64 x 10))) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 (pow.f64 x 5) -2/945)))
(/.f64 (-.f64 (*.f64 16/797493650625 (*.f64 (pow.f64 x 10) (pow.f64 x 10))) (*.f64 1/4100625 (*.f64 (pow.f64 x 6) (pow.f64 x 6)))) (*.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (pow.f64 x 10) 4/893025))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) 3) (pow.f64 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)) 3)) (*.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) (pow.f64 (pow.f64 x 5) 3)) 64/712181767349390625) (*.f64 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)) (-.f64 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)) (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 10) 4/893025) 3) (pow.f64 (*.f64 1/2025 (pow.f64 x 6)) 3)) (*.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (+.f64 (*.f64 16/797493650625 (*.f64 (pow.f64 x 10) (pow.f64 x 10))) (*.f64 (*.f64 1/2025 (pow.f64 x 6)) (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (pow.f64 x 10) 4/893025))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025))) (neg.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (neg.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))))) (sqrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)))) (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))))) (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)))) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (*.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 -4/893025 (pow.f64 x 10))) 1) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 (pow.f64 x 5) -2/945)))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025))) 1) (neg.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) 1) (neg.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) (sqrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2)) (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2)) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (*.f64 (-.f64 (*.f64 16/797493650625 (*.f64 (pow.f64 x 10) (pow.f64 x 10))) (*.f64 1/4100625 (*.f64 (pow.f64 x 6) (pow.f64 x 6)))) (/.f64 1 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (pow.f64 x 10) 4/893025)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 10) 4/893025) 3) (pow.f64 (*.f64 1/2025 (pow.f64 x 6)) 3)) (/.f64 1 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) (+.f64 (*.f64 16/797493650625 (*.f64 (pow.f64 x 10) (pow.f64 x 10))) (*.f64 (*.f64 1/2025 (pow.f64 x 6)) (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (pow.f64 x 10) 4/893025)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) (pow.f64 (pow.f64 x 5) 3)) 64/712181767349390625) (*.f64 (*.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 6) (pow.f64 x 6))) 1/8303765625)) (/.f64 1 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 -1/91125 (pow.f64 (pow.f64 x 3) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) 3) (pow.f64 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)) 3)) (/.f64 1 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))) (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) (pow.f64 (pow.f64 x 5) 3)) 64/712181767349390625) (*.f64 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)) (-.f64 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)) (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) 1) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (*.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (+.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)))) (-.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (sqrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))) (sqrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))) (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))
(pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (neg.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (neg.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))))
(sqrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 2))
(log.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))))
(cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(exp.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(log1p.f64 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5) 2/945 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) 1/45 (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 1 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (*.f64 (cbrt.f64 1/2025) (*.f64 x x)) (*.f64 x (cbrt.f64 1/45)) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 4/893025)) (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) (*.f64 1/45 (pow.f64 x 3)))
Outputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 2/945 (pow.f64 x 5))
(*.f64 2/945 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (-.f64 1 (*.f64 2/945 (pow.f64 x 5))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (-.f64 1 (*.f64 1/45 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (+.f64 1 (*.f64 (pow.f64 x 3) -1/45)))
(fma.f64 1/45 (pow.f64 x 3) (expm1.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) 1)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(-.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (/.f64 (*.f64 1/2025 (pow.f64 x 6)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) 4/893025)) (/.f64 1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6))))
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(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x 5) 3) 3) 512/601016336033894136931640625) (*.f64 1/756680642578125 (pow.f64 (pow.f64 (pow.f64 x 3) 3) 3))) (fma.f64 1/2025 (pow.f64 x 6) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) (fma.f64 (pow.f64 (pow.f64 x 5) 6) 64/712181767349390625 (*.f64 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)) (-.f64 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)) (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625)))))
(/.f64 (fma.f64 1/756680642578125 (pow.f64 (pow.f64 (pow.f64 x 3) 3) 3) (*.f64 (pow.f64 (pow.f64 (pow.f64 x 5) 3) 3) 512/601016336033894136931640625)) (*.f64 (fma.f64 2/945 (*.f64 (pow.f64 x 5) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (*.f64 1/2025 (pow.f64 x 6))) (fma.f64 1/91125 (*.f64 (pow.f64 (pow.f64 x 3) 3) (fma.f64 1/91125 (pow.f64 (pow.f64 x 3) 3) (*.f64 (pow.f64 (pow.f64 x 5) 3) -8/843908625))) (*.f64 (pow.f64 (pow.f64 x 5) 6) 64/712181767349390625))))
(/.f64 (/.f64 (fma.f64 1/756680642578125 (pow.f64 (pow.f64 (pow.f64 x 3) 3) 3) (*.f64 (pow.f64 (pow.f64 (pow.f64 x 5) 3) 3) 512/601016336033894136931640625)) (fma.f64 2/945 (*.f64 (pow.f64 x 5) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (*.f64 1/2025 (pow.f64 x 6)))) (fma.f64 1/91125 (*.f64 (pow.f64 (pow.f64 x 3) 3) (fma.f64 1/91125 (pow.f64 (pow.f64 x 3) 3) (*.f64 (pow.f64 (pow.f64 x 5) 3) -8/843908625))) (*.f64 (pow.f64 (pow.f64 x 5) 6) 64/712181767349390625)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) 1) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) 4/893025)) (/.f64 1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (/.f64 -1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/2025 (*.f64 (pow.f64 x 10) 4/893025)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) 4/893025)) (/.f64 1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (/.f64 -1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/2025 (*.f64 (pow.f64 x 10) 4/893025)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (*.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) 4/893025)) (/.f64 1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (/.f64 -1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/2025 (*.f64 (pow.f64 x 10) 4/893025)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (+.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)))) (-.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2))))
(/.f64 (fma.f64 (pow.f64 x 10) 4/893025 (*.f64 (pow.f64 x 6) -1/2025)) (*.f64 (-.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2))) (fma.f64 (sqrt.f64 1/45) (pow.f64 x 3/2) (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)))))
(/.f64 (fma.f64 (pow.f64 x 10) 4/893025 (*.f64 (pow.f64 x 6) -1/2025)) (*.f64 (fma.f64 (sqrt.f64 1/45) (pow.f64 x 3/2) (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945))) (fma.f64 (pow.f64 x 5/2) (sqrt.f64 2/945) (*.f64 (pow.f64 x 3/2) (neg.f64 (sqrt.f64 1/45))))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/2025 (*.f64 (pow.f64 x 10) 4/893025)) (*.f64 (fma.f64 (sqrt.f64 1/45) (pow.f64 x 3/2) (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945))) (fma.f64 (pow.f64 x 5/2) (sqrt.f64 2/945) (*.f64 (pow.f64 x 3/2) (neg.f64 (sqrt.f64 1/45))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))
(/.f64 (*.f64 1 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (fma.f64 1/2025 (pow.f64 x 6) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 2/945 (*.f64 (pow.f64 x 5) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (*.f64 1/2025 (pow.f64 x 6))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (sqrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))) (sqrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 1 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (fma.f64 1/2025 (pow.f64 x 6) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 2/945 (*.f64 (pow.f64 x 5) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (*.f64 1/2025 (pow.f64 x 6))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))) (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (*.f64 1 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (fma.f64 1/2025 (pow.f64 x 6) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 2/945 (*.f64 (pow.f64 x 5) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (*.f64 1/2025 (pow.f64 x 6))))
(pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 1)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 3)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 3) 1/3)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (neg.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) 4/893025)) (/.f64 1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (/.f64 -1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/2025 (*.f64 (pow.f64 x 10) 4/893025)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (neg.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))))
(/.f64 (*.f64 1 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (fma.f64 1/2025 (pow.f64 x 6) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 2/945 (*.f64 (pow.f64 x 5) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (*.f64 1/2025 (pow.f64 x 6))))
(sqrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 2))
(fabs.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))
(log.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(exp.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5) 2/945 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 1/45 (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 2/945 (pow.f64 x 5)))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/45) (sqrt.f64 1/45))))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 (pow.f64 x 5) (*.f64 (sqrt.f64 2/945) (sqrt.f64 2/945))))
(fma.f64 (*.f64 (cbrt.f64 1/2025) (*.f64 x x)) (*.f64 x (cbrt.f64 1/45)) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 (*.f64 x (*.f64 x (cbrt.f64 1/2025))) (*.f64 x (cbrt.f64 1/45)) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 4/893025)) (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) (*.f64 1/45 (pow.f64 x 3)))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/3 (*.f64 x x))
27.5b
(/.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)

rewrite104.0ms (0.7%)

Algorithm
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
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))))))))

simplify65.0ms (0.4%)

Algorithm
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
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))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/9 (*.f64 x x))
27.5b
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite57.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

simplify58.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 2 (/.f64 x (tan.f64 x)))
0.0b
(/.f64 x (tan.f64 x))
0.0b
(/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x)
2.8b
(+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1)
Compiler

Compiled 34 to 16 computations (52.9% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite102.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1826×associate-/r*
1316×associate-/l*
670×distribute-lft-in
608×associate-/r/
448×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01180
125368
2347868
Stop Event
node limit
Counts
4 → 225
Calls
Call 1
Inputs
(+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1)
(/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x)
(/.f64 x (tan.f64 x))
(-.f64 2 (/.f64 x (tan.f64 x)))
Outputs
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(/.f64 x (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))))))

simplify105.0ms (0.7%)

Algorithm
egg-herbie
Rules
882×associate-*r*
756×associate-*l*
676×associate-/l*
570×*-commutative
526×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062011907
1178310311
Stop Event
node limit
Counts
273 → 359
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))))
(*.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))
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))
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(*.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 2 (/.f64 x (tan.f64 x))) 2)) (/.f64 1 x)) (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2))) (-.f64 1 (/.f64 x (tan.f64 x))))
(*.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) (/.f64 1 x)) (-.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3) -1)) (+.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) (+.f64 (/.f64 x (tan.f64 x)) -1)))
(*.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3)) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) (*.f64 (-.f64 1 (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1)) (-.f64 1 (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1))))) (+.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1)))
(*.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3)) (/.f64 1 x)) (+.f64 (pow.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) 3) (pow.f64 (-.f64 1 (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1)) 3))) (+.f64 (*.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) (-.f64 (*.f64 (-.f64 1 (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1)) (-.f64 1 (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1))) (*.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) (-.f64 1 (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))
(-.f64 (+.f64 (/.f64 x (tan.f64 x)) 1) 1)
(*.f64 x (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 x (tan.f64 x)) 1)
(*.f64 1 (/.f64 x (tan.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (/.f64 x (tan.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (tan.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) 2) (cbrt.f64 (/.f64 x (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 x))))
(*.f64 (/.f64 1 (tan.f64 x)) x)
(*.f64 (neg.f64 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 x 1) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 x (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 x (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 x (cos.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 -1 (tan.f64 x)) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (tan.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (tan.f64 x)) (cbrt.f64 x))
(*.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (/.f64 x (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) 3)
(pow.f64 (/.f64 (tan.f64 x) x) -1)
(pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) 1/3)
(neg.f64 (/.f64 x (neg.f64 (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (tan.f64 x))))
(exp.f64 (log.f64 (/.f64 x (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (tan.f64 x))))
(+.f64 2 (/.f64 (neg.f64 x) (tan.f64 x)))
(+.f64 2 (*.f64 (/.f64 (neg.f64 x) (tan.f64 x)) 1))
(+.f64 2 (*.f64 1 (*.f64 (/.f64 (neg.f64 x) (tan.f64 x)) 1)))
(+.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 1)
(+.f64 1 (-.f64 1 (/.f64 x (tan.f64 x))))
(+.f64 (-.f64 3 (/.f64 x (tan.f64 x))) -1)
(+.f64 (/.f64 (neg.f64 x) (tan.f64 x)) 2)
(+.f64 3 (+.f64 -1 (/.f64 (neg.f64 x) (tan.f64 x))))
(+.f64 3 (neg.f64 (+.f64 (/.f64 x (tan.f64 x)) 1)))
(+.f64 0 (-.f64 2 (/.f64 x (tan.f64 x))))
(+.f64 (*.f64 (/.f64 (neg.f64 x) (tan.f64 x)) 1) 2)
(*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 1)
(*.f64 1 (-.f64 2 (/.f64 x (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 2) (cbrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))
(*.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 (+.f64 2 (/.f64 x (tan.f64 x)))))
(*.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))
(*.f64 (/.f64 1 (+.f64 2 (/.f64 x (tan.f64 x)))) (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)))
(*.f64 (/.f64 1 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)))
(*.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (-.f64 2 (/.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (+.f64 4 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (/.f64 (*.f64 2 x) (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (-.f64 16 (*.f64 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) (-.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (+.f64 64 (pow.f64 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))) 3))) (+.f64 16 (-.f64 (*.f64 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (*.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))))
(/.f64 1 (/.f64 1 (-.f64 2 (/.f64 x (tan.f64 x)))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 2 (/.f64 x (tan.f64 x))))
(/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (/.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (sqrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)))))
(/.f64 (sqrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (/.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (sqrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)))) (/.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)))) (/.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)))))
(/.f64 (-.f64 4 (*.f64 (/.f64 (neg.f64 x) (tan.f64 x)) (/.f64 (neg.f64 x) (tan.f64 x)))) (+.f64 2 (/.f64 x (tan.f64 x))))
(/.f64 (-.f64 16 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (/.f64 x (tan.f64 x)) 2))) (*.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (+.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))))
(/.f64 (-.f64 64 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 x (tan.f64 x)) 3))) (*.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (+.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))))
(/.f64 (+.f64 8 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 x)) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 (neg.f64 x) (tan.f64 x)) (/.f64 (neg.f64 x) (tan.f64 x))) (*.f64 2 (/.f64 (neg.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) 3)) (*.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (+.f64 16 (+.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (*.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))))))
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) 3)) (*.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (+.f64 64 (+.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 x (tan.f64 x)) 3)) (*.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (neg.f64 (+.f64 2 (/.f64 x (tan.f64 x)))))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (neg.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) 1) (+.f64 2 (/.f64 x (tan.f64 x))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (sqrt.f64 (+.f64 2 (/.f64 x (tan.f64 x))))) (sqrt.f64 (+.f64 2 (/.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 x (tan.f64 x)))) (cbrt.f64 (+.f64 2 (/.f64 x (tan.f64 x)))))) (cbrt.f64 (+.f64 2 (/.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) 1) (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (sqrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) (sqrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) (cbrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))) (cbrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))
(pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (/.f64 x (tan.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3))
(expm1.f64 (log.f64 (-.f64 3 (/.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 x (tan.f64 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 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) 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 x (/.f64 (sin.f64 x) (cos.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 x (/.f64 (sin.f64 x) (cos.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 x (/.f64 (sin.f64 x) (cos.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 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) 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 x (/.f64 (sin.f64 x) (cos.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 x (/.f64 (sin.f64 x) (cos.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 x (/.f64 (sin.f64 x) (cos.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))))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)))) (/.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)))))
(/.f64 (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (/.f64 (/.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)))) (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)))))
(*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (/.f64 (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (/.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)))) (/.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)))) (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))))
(*.f64 (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (/.f64 (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (/.f64 (fma.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))) 4) (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))))))
(/.f64 (-.f64 4 (*.f64 (/.f64 (neg.f64 x) (tan.f64 x)) (/.f64 (neg.f64 x) (tan.f64 x)))) (+.f64 2 (/.f64 x (tan.f64 x))))
(*.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 (+.f64 2 (/.f64 x (tan.f64 x)))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 2 (/.f64 x (tan.f64 x))))
(/.f64 (-.f64 16 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (/.f64 x (tan.f64 x)) 2))) (*.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (+.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))))
(/.f64 (-.f64 16 (pow.f64 (/.f64 x (tan.f64 x)) 4)) (*.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (+.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))))
(/.f64 (-.f64 64 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 x (tan.f64 x)) 3))) (*.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (+.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))))
(/.f64 (-.f64 64 (pow.f64 (/.f64 x (tan.f64 x)) 6)) (*.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (+.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))))
(/.f64 (-.f64 64 (pow.f64 (/.f64 x (tan.f64 x)) 6)) (*.f64 (fma.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))) 4) (+.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))))
(/.f64 (+.f64 8 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 x)) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 (neg.f64 x) (tan.f64 x)) (/.f64 (neg.f64 x) (tan.f64 x))) (*.f64 2 (/.f64 (neg.f64 x) (tan.f64 x))))))
(*.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))
(/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (fma.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))) 4))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) 3)) (*.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (+.f64 16 (+.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (*.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) 3)) (*.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (+.f64 16 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (/.f64 x (tan.f64 x)) 6)) (+.f64 2 (/.f64 x (tan.f64 x)))) (fma.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) 16))
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) 3)) (*.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (+.f64 64 (+.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 x (tan.f64 x)) 3)) (*.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))))))
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) 3)) (*.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (+.f64 64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 6) (*.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))))))
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) 3)) (*.f64 (fma.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))) 4) (+.f64 64 (fma.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 x (tan.f64 x)) 6)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (neg.f64 (+.f64 2 (/.f64 x (tan.f64 x)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (+.f64 -2 (/.f64 (neg.f64 x) (tan.f64 x))))
(/.f64 (+.f64 -4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (-.f64 -2 (/.f64 x (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (neg.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))
(/.f64 (+.f64 -8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (+.f64 -4 (*.f64 (/.f64 x (tan.f64 x)) (-.f64 -2 (/.f64 x (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) 1) (+.f64 2 (/.f64 x (tan.f64 x))))
(*.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 (+.f64 2 (/.f64 x (tan.f64 x)))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 2 (/.f64 x (tan.f64 x))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (sqrt.f64 (+.f64 2 (/.f64 x (tan.f64 x))))) (sqrt.f64 (+.f64 2 (/.f64 x (tan.f64 x)))))
(*.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 (+.f64 2 (/.f64 x (tan.f64 x)))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 2 (/.f64 x (tan.f64 x))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 x (tan.f64 x)))) (cbrt.f64 (+.f64 2 (/.f64 x (tan.f64 x)))))) (cbrt.f64 (+.f64 2 (/.f64 x (tan.f64 x)))))
(*.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 (+.f64 2 (/.f64 x (tan.f64 x)))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 2 (/.f64 x (tan.f64 x))))
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) 1) (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))
(*.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))
(/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (fma.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))) 4))
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (sqrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) (sqrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))
(*.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))
(/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (fma.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))) 4))
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) (cbrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))) (cbrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))
(*.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))
(/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (fma.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))) 4))
(pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 1)
(-.f64 2 (/.f64 x (tan.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 2)
(-.f64 2 (/.f64 x (tan.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 3)
(-.f64 2 (/.f64 x (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3) 1/3)
(-.f64 2 (/.f64 x (tan.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2))
(fabs.f64 (-.f64 2 (/.f64 x (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))
(-.f64 2 (/.f64 x (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (/.f64 x (tan.f64 x))))))
(-.f64 2 (/.f64 x (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3))
(-.f64 2 (/.f64 x (tan.f64 x)))
(expm1.f64 (log.f64 (-.f64 3 (/.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))
(-.f64 2 (/.f64 x (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 1))
(-.f64 2 (/.f64 x (tan.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))
(-.f64 2 (/.f64 x (tan.f64 x)))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/3 x)
0.6b
(cbrt.f64 (*.f64 1/3 x))
0.8b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series4.0ms (0%)

Counts
2 → 0
Calls

6 calls:

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

rewrite54.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify47.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

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

eval359.0ms (2.4%)

Compiler

Compiled 18023 to 12548 computations (30.4% saved)

prune174.0ms (1.2%)

Pruning

28 alts after pruning (18 fresh and 10 done)

PrunedKeptTotal
New75614770
Fresh347
Picked011
Done099
Total75928787
Error
0.0b
Counts
787 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
0.9b
(pow.f64 (*.f64 3 (/.f64 1 x)) -1)
2.0b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
27.7b
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))))
59.5b
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
59.5b
(/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x)
59.7b
(/.f64 (+.f64 (+.f64 (*.f64 1/3 (*.f64 x x)) 1) -1) x)
28.1b
(/.f64 (*.f64 x (*.f64 1/3 x)) x)
28.1b
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
0.8b
(/.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))))))
59.5b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
58.7b
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
0.5b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
58.8b
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
2.9b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))
32.8b
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
28.1b
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x)))
0.9b
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1)
28.1b
(*.f64 (/.f64 1/3 x) (*.f64 x x))
28.1b
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x)))
2.0b
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
32.7b
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
32.6b
(*.f64 (sqrt.f64 (*.f64 x 1/9)) (sqrt.f64 x))
0.9b
(*.f64 1/3 x)
45.3b
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
45.3b
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
Compiler

Compiled 493 to 376 computations (23.7% saved)

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 87 to 74 computations (14.9% saved)

series117.0ms (0.8%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
95.0ms
x
@0
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
9.0ms
x
@inf
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
4.0ms
x
@-inf
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
4.0ms
x
@0
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))
2.0ms
x
@inf
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))

rewrite99.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

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

simplify203.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

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

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1/3 x)
27.5b
(*.f64 (/.f64 1/3 x) (*.f64 x x))
Compiler

Compiled 16 to 8 computations (50% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite59.0ms (0.4%)

Algorithm
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
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)))))))

simplify57.0ms (0.4%)

Algorithm
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
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)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 1/3 x))
0.3b
(*.f64 1/3 x)
27.5b
(/.f64 (*.f64 x (*.f64 1/3 x)) x)
Compiler

Compiled 18 to 11 computations (38.9% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1620×add-sqr-sqrt
1602×*-un-lft-identity
1502×add-cube-cbrt
1480×add-cbrt-cube
146×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0732
114832
2197532
Stop Event
node limit
Counts
2 → 55
Calls
Call 1
Inputs
(/.f64 (*.f64 x (*.f64 1/3 x)) x)
(*.f64 x (*.f64 1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 1/3) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 3 (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/3)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x x) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2) (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (*.f64 x 1/3))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x x) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x (*.f64 x 1/3)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x 1/3)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (*.f64 x 1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x 1/3) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) 1) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) 1) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 x (*.f64 x 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/3))))))))

simplify62.0ms (0.4%)

Algorithm
egg-herbie
Rules
1226×associate-/r/
1222×associate-/l/
982×unswap-sqr
894×*-commutative
678×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01341075
1388991
22290991
Stop Event
node limit
Counts
79 → 66
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 (/.f64 x x) (*.f64 x 1/3)))) 1)
(*.f64 x (*.f64 (*.f64 x 1/3) (/.f64 1 x)))
(*.f64 x (/.f64 1 (*.f64 3 (/.f64 x x))))
(*.f64 (*.f64 x 1/3) (*.f64 x (/.f64 1 x)))
(*.f64 (*.f64 x (*.f64 x 1/3)) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 1)
(*.f64 1 (*.f64 (/.f64 x x) (*.f64 x 1/3)))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2) (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3)))
(*.f64 (*.f64 x (neg.f64 (*.f64 x 1/3))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 x x) (*.f64 x 1/3))
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 1/3) x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x (*.f64 x 1/3)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x 1/3)) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (*.f64 x 1/3) (sqrt.f64 x)))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x 1/3) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 x 1/3) 1) (/.f64 x x))
(*.f64 (/.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) 1) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 3) 1/3)
(pow.f64 (/.f64 x (*.f64 x (*.f64 x 1/3))) -1)
(neg.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(exp.f64 (log.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3)))) 1)
(pow.f64 (*.f64 x (*.f64 x 1/3)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/3))))
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) 1)
(*.f64 1/3 x)
(*.f64 x (*.f64 (*.f64 x 1/3) (/.f64 1 x)))
(*.f64 1/3 x)
(*.f64 x (/.f64 1 (*.f64 3 (/.f64 x x))))
(*.f64 1/3 x)
(*.f64 (*.f64 x 1/3) (*.f64 x (/.f64 1 x)))
(*.f64 1/3 x)
(*.f64 (*.f64 x (*.f64 x 1/3)) (/.f64 1 x))
(*.f64 1/3 x)
(*.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 1)
(*.f64 1/3 x)
(*.f64 1 (*.f64 (/.f64 x x) (*.f64 x 1/3)))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 x)))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 x)))
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2))
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2) (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(*.f64 1/3 x)
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3)))
(*.f64 1/3 x)
(*.f64 (*.f64 x (neg.f64 (*.f64 x 1/3))) (/.f64 1 (neg.f64 x)))
(*.f64 x (*.f64 (*.f64 x -1/3) (/.f64 1 (neg.f64 x))))
(/.f64 (neg.f64 x) -3)
(*.f64 (/.f64 x x) (*.f64 x 1/3))
(*.f64 1/3 x)
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 1/3) x))
(*.f64 1/3 x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x (*.f64 x 1/3)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 x)) 1/3) (/.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 1/3 (/.f64 x (sqrt.f64 x))) (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x 1/3)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 x (/.f64 (cbrt.f64 x) (*.f64 1/3 x))))
(*.f64 (/.f64 (*.f64 1/3 x) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 x)) 1/3) (/.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 1/3 (/.f64 x (sqrt.f64 x))) (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (*.f64 x 1/3) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 x)) 1/3) (/.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 1/3 (/.f64 x (sqrt.f64 x))) (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x 1/3) (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 x (/.f64 (cbrt.f64 x) (*.f64 1/3 x))))
(*.f64 (/.f64 (*.f64 1/3 x) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 x 1/3) 1) (/.f64 x x))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 x (/.f64 (cbrt.f64 x) (*.f64 1/3 x))))
(*.f64 (/.f64 (*.f64 1/3 x) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) 1) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) x))
(*.f64 1/3 x)
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 x (/.f64 (cbrt.f64 x) (*.f64 1/3 x))))
(*.f64 (/.f64 (*.f64 1/3 x) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) x))
(*.f64 1/3 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 x)) 1/3) (/.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 1/3 (/.f64 x (sqrt.f64 x))) (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 2) (cbrt.f64 (*.f64 x x))))
(pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 1)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 3)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 3) 1/3)
(*.f64 1/3 x)
(pow.f64 (/.f64 x (*.f64 x (*.f64 x 1/3))) -1)
(*.f64 1/3 x)
(neg.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (neg.f64 x)))
(*.f64 x (*.f64 (*.f64 x -1/3) (/.f64 1 (neg.f64 x))))
(/.f64 (neg.f64 x) -3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 2))
(*.f64 1/3 x)
(log.f64 (exp.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(*.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))))
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(*.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))
(*.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3)))) 1)
(*.f64 1/3 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x 1/3)) 1)
(*.f64 1/3 (*.f64 x x))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) 2)
(*.f64 1/3 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 3)
(*.f64 1/3 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3) 1/3)
(*.f64 1/3 (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 2))
(*.f64 1/3 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/3)))
(*.f64 1/3 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/3)))))
(*.f64 1/3 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3))
(*.f64 1/3 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3))))
(*.f64 1/3 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/3))))
(*.f64 1/3 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/3))) 1))
(*.f64 1/3 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/3))))
(*.f64 1/3 (*.f64 x x))

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 x 1/9))
0.4b
(*.f64 x 1/9)
27.5b
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 x 1/9)
0.0ms
x
@-inf
(*.f64 x 1/9)
0.0ms
x
@inf
(*.f64 x 1/9)
0.0ms
x
@0
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
0.0ms
x
@inf
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))

rewrite57.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

simplify67.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

localize7.0ms (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)

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite52.0ms (0.3%)

Algorithm
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
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)))))))

simplify44.0ms (0.3%)

Algorithm
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
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)

eval681.0ms (4.5%)

Compiler

Compiled 23017 to 19236 computations (16.4% saved)

prune192.0ms (1.3%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New5403543
Fresh9413
Picked101
Done7714
Total55714571
Error
0.0b
Counts
571 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
59.5b
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)
59.5b
(/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x)
59.7b
(/.f64 (+.f64 (+.f64 (*.f64 1/3 (*.f64 x x)) 1) -1) x)
28.0b
(/.f64 (*.f64 x x) (*.f64 x 3))
0.5b
(/.f64 (neg.f64 x) -3)
59.5b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
58.7b
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
0.5b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
58.8b
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
28.1b
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3)))
0.9b
(*.f64 1/3 x)
Compiler

Compiled 141 to 109 computations (22.7% saved)

regimes104.0ms (0.7%)

Counts
35 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(/.f64 (neg.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 x 1/3)) 1)
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(/.f64 (*.f64 x x) (*.f64 x 3))
(/.f64 (*.f64 x (*.f64 1/3 x)) x)
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3)))
(/.f64 (+.f64 (+.f64 (*.f64 1/3 (*.f64 x x)) 1) -1) x)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 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 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) 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 (sqrt.f64 (*.f64 x 1/9)) (sqrt.f64 x))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 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 (pow.f64 x 3)) (tan.f64 x)) x)
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 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 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))))
Outputs
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
Calls

2 calls:

56.0ms
x
3.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 333 to 229 computations (31.2% saved)

regimes26.0ms (0.2%)

Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(/.f64 (neg.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 x 1/3)) 1)
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(/.f64 (*.f64 x x) (*.f64 x 3))
(/.f64 (*.f64 x (*.f64 1/3 x)) x)
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3)))
(/.f64 (+.f64 (+.f64 (*.f64 1/3 (*.f64 x x)) 1) -1) x)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 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 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) 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 (sqrt.f64 (*.f64 x 1/9)) (sqrt.f64 x))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 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 (pow.f64 x 3)) (tan.f64 x)) x)
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 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 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 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:

14.0ms
x
5.0ms
(-.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 275 to 180 computations (34.5% saved)

regimes65.0ms (0.4%)

Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(/.f64 (neg.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 x 1/3)) 1)
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(/.f64 (*.f64 x x) (*.f64 x 3))
(/.f64 (*.f64 x (*.f64 1/3 x)) x)
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3)))
(/.f64 (+.f64 (+.f64 (*.f64 1/3 (*.f64 x x)) 1) -1) x)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 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 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) 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 (sqrt.f64 (*.f64 x 1/9)) (sqrt.f64 x))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 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 (pow.f64 x 3)) (tan.f64 x)) x)
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
Outputs
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
Calls

2 calls:

14.0ms
x
3.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 230 to 147 computations (36.1% saved)

regimes54.0ms (0.4%)

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

2 calls:

46.0ms
x
3.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 192 to 127 computations (33.9% saved)

regimes21.0ms (0.1%)

Accuracy

Total -59.8b remaining (-11283.3%)

Threshold costs -59.8b (-11283.3%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(/.f64 (neg.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 x 1/3)) 1)
(/.f64 (*.f64 1/3 (*.f64 x x)) x)
(/.f64 (*.f64 x x) (*.f64 x 3))
(/.f64 (*.f64 x (*.f64 1/3 x)) x)
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3)))
(/.f64 (+.f64 (+.f64 (*.f64 1/3 (*.f64 x x)) 1) -1) x)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 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)
Outputs
(/.f64 (neg.f64 x) -3)
Calls

2 calls:

9.0ms
x
8.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 141 to 92 computations (34.8% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×+-commutative
12×*-commutative
sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029168
145168
249168
352168
453168
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(/.f64 (neg.f64 x) -3)
(*.f64 1/3 x)
Outputs
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(/.f64 (neg.f64 x) -3)
(*.f64 1/3 x)
Compiler

Compiled 66 to 53 computations (19.7% saved)

soundness259.0ms (1.7%)

Algorithm
egg-herbie
Rules
1358×associate-*r*
1290×associate-*l*
1226×associate-/r/
1222×associate-/l/
1194×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062910615
118239809
01341075
1388991
22290991
04869548
113749100
254749036
Stop Event
node limit
node limit
node limit
Compiler

Compiled 194 to 133 computations (31.4% saved)

end99.0ms (0.7%)

Compiler

Compiled 61 to 48 computations (21.3% saved)

Profiling

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