Details

Time bar (total: 13.8s)

analyze4.0ms (0%)

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

Compiled 16 to 12 computations (25% saved)

sample11.1s (80.1%)

Results
8.8s4077×body2048valid
1.2s2139×body1024valid
466.0ms234×body4096valid
347.0ms744×body256valid
243.0ms1062×body512valid
Bogosity

preprocess16.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 10 to 8 computations (20% saved)

simplify18.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
93.93%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶93.93%
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓6.05%
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 20 to 12 computations (40% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite77.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
119823
2267823
Stop Event
1×node limit
Counts
1 → 157
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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))) 1))))) (#(struct:change #<rule egg-rr> (2) ((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))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (-.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (+.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sqrt.f64 (tan.f64 x))) (pow.f64 (tan.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 x (tan.f64 x))) (*.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 x (tan.f64 x))) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (neg.f64 x) (neg.f64 (tan.f64 x)))) (*.f64 x (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (-.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x))))))) (-.f64 (-.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (pow.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) 3))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (tan.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (-.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (tan.f64 x) x) (*.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (tan.f64 x) x) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 (*.f64 x (tan.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (*.f64 x (tan.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (*.f64 (*.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (pow.f64 (tan.f64 x) -3))) (*.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 -1 (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (*.f64 (*.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (*.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) (*.f64 x (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (neg.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (-.f64 (tan.f64 x) x) x)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 -1 (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 0 (-.f64 (tan.f64 x) x))) (*.f64 x (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (neg.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 x)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (tan.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -1 (tan.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (tan.f64 x) x) -1) (*.f64 x (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -1 x)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) 1) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 -1 (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) 1) (*.f64 x (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) 1) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) 1) (neg.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (tan.f64 x) x)) 1) (neg.f64 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (pow.f64 (tan.f64 x) -3))) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (tan.f64 x) x) 1) (*.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (*.f64 (tan.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (tan.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) 1) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (*.f64 x (tan.f64 x)))) (sqrt.f64 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (tan.f64 x))) (cbrt.f64 (*.f64 x (tan.f64 x))))) (cbrt.f64 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) x) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) (neg.f64 x)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (tan.f64 x)))))))

simplify109.0ms (0.8%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
04318829
112538667
250938343
Stop Event
1×node limit
Counts
169 → 249
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))
(+.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))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (*.f64 x (tan.f64 x))))
(*.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 1 (tan.f64 x))))
(*.f64 -1 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 x)))
(*.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 -1 (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 1 (tan.f64 x)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)))
(*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (+.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sqrt.f64 (tan.f64 x))) (pow.f64 (tan.f64 x) -1/2))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 x (tan.f64 x))) (*.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 x (tan.f64 x))) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (neg.f64 x) (neg.f64 (tan.f64 x)))) (*.f64 x (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (-.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x))))))) (-.f64 (-.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (pow.f64 (tan.f64 x) -2)))
(*.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) 3))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (pow.f64 x -2)))))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (tan.f64 x))) -1)
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 1 (/.f64 x (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (-.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (tan.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))
(/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 (*.f64 x (tan.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (*.f64 x (tan.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (*.f64 (*.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (pow.f64 (tan.f64 x) -3))) (*.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(/.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 -1 (tan.f64 x)) x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (*.f64 (*.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (*.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))))
(/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) (*.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (neg.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 1 (/.f64 (-.f64 (tan.f64 x) x) x)) (tan.f64 x))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 -1 (tan.f64 x)) x)))
(/.f64 (*.f64 1 (-.f64 0 (-.f64 (tan.f64 x) x))) (*.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (neg.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 x)) (tan.f64 x))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (tan.f64 x))) x)
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -1 (tan.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) -1) (*.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -1 x)) (neg.f64 (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) 1) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 -1 (tan.f64 x)) x)))
(/.f64 (*.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) 1) (*.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) 1) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) 1) (neg.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (tan.f64 x) x)) 1) (neg.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (pow.f64 (tan.f64 x) -3))) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 x (tan.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) 1) (*.f64 x (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (*.f64 (tan.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (tan.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) 1) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (*.f64 x (tan.f64 x)))) (sqrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (tan.f64 x))) (cbrt.f64 (*.f64 x (tan.f64 x))))) (cbrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (/.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) x) (neg.f64 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) (neg.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 x)))
(pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(fma.f64 1 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (tan.f64 x)))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.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 (/.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 -1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 x) (/.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 -1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 x) (/.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 (tan.f64 x)) (+.f64 (/.f64 1 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 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (*.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))))
(+.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 -1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 x) (/.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 -1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 x) (/.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 (tan.f64 x)) (+.f64 (/.f64 1 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 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (*.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -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 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.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)) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.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 (/.f64 1 x) (/.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)) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.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 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (+.f64 (/.f64 1 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 (*.f64 (*.f64 (/.f64 -1 (tan.f64 x)) 0) 2) (*.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -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 (/.f64 1 x) (/.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)) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.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 (/.f64 1 x) (/.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)) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.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 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (+.f64 (/.f64 1 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 (*.f64 (*.f64 (/.f64 -1 (tan.f64 x)) 0) 2) (*.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -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 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (+.f64 (/.f64 1 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 (*.f64 (*.f64 (/.f64 -1 (tan.f64 x)) 0) 2) (*.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -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 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (+.f64 (/.f64 1 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 (*.f64 (*.f64 (/.f64 -1 (tan.f64 x)) 0) 2) (*.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -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)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (*.f64 2 (fma.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))))
(fma.f64 2 (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 -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))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 x) (/.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))) (*.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))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 x) (/.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))) (*.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))) (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 (tan.f64 x)) (+.f64 (/.f64 1 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 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (*.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -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))) 1))
(+.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 -1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 x) (/.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))) (*.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))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 x) (/.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))) (*.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 (/.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 (tan.f64 x)) (+.f64 (/.f64 1 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 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (*.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))))
(+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 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 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 x) (/.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 (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 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 x) (/.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 (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 (+.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 (tan.f64 x)) (+.f64 (/.f64 1 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 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (*.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))))
(+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.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 -1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (/.f64 -1 (tan.f64 x)) 0))
(+.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 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 1 (tan.f64 x)) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (/.f64 -1 (tan.f64 x)) 0))
(+.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) (/.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 (tan.f64 x)) (+.f64 (/.f64 1 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 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (*.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))))
(+.f64 (-.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))) 1)
(-.f64 (/.f64 1 x) (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 x)))) 1))
(-.f64 (/.f64 1 x) (expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x)))))
(*.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.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 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 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 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(*.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (-.f64 (tan.f64 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 -1 (+.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 -1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)))
(*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (+.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 x -1/2)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sqrt.f64 (tan.f64 x))) (pow.f64 (tan.f64 x) -1/2))
(/.f64 (*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (tan.f64 x) -1/2)) (sqrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (tan.f64 x) -1/2) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (tan.f64 x))) x))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.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 (*.f64 (cos.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (sin.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 x (tan.f64 x))) (*.f64 x (tan.f64 x)))
(*.f64 (*.f64 x (tan.f64 x)) (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 x (tan.f64 x))))
(*.f64 x (*.f64 (tan.f64 x) (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 x (tan.f64 x))) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(*.f64 (*.f64 x (tan.f64 x)) (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 x (tan.f64 x))))
(*.f64 x (*.f64 (tan.f64 x) (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (+.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (neg.f64 x) (neg.f64 (tan.f64 x)))) (*.f64 x (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (-.f64 (neg.f64 x) (tan.f64 x))) (*.f64 (neg.f64 x) (tan.f64 x)))
(*.f64 x (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (-.f64 (neg.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (-.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x))))))) (-.f64 (-.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (pow.f64 (tan.f64 x) -2)))
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (-.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))))) (-.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (-.f64 (/.f64 (/.f64 -1 x) (tan.f64 x)) (pow.f64 (tan.f64 x) -2)))) (-.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (-.f64 (/.f64 (/.f64 -1 x) (tan.f64 x)) (pow.f64 (tan.f64 x) -2)))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (-.f64 (/.f64 (/.f64 -1 x) (tan.f64 x)) (pow.f64 (tan.f64 x) -2)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) 3))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (pow.f64 x -2)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))) 3))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (pow.f64 x -2))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (fma.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (pow.f64 x -2))) (/.f64 (pow.f64 x -3) x))) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))) 3)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (tan.f64 x))) -1)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (neg.f64 (sin.f64 x)) x)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 (fma.f64 -1 (tan.f64 x) x) x) (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (cos.f64 x) (*.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x)))))
(/.f64 1 (/.f64 x (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (-.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 (*.f64 x (tan.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (*.f64 x (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (*.f64 x (tan.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (/.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (/.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (*.f64 x (tan.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 x (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (tan.f64 x))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) x) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (*.f64 (*.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (*.f64 x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (*.f64 x (tan.f64 x))) (+.f64 x (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (pow.f64 (tan.f64 x) -3))) (*.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(/.f64 (-.f64 (pow.f64 x -6) (pow.f64 (tan.f64 x) -6)) (*.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (pow.f64 (tan.f64 x) -6)) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 -1 (tan.f64 x)) x)))
(/.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 -1 (*.f64 x (tan.f64 x))))))
(/.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (*.f64 (*.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (*.f64 x (*.f64 (tan.f64 x) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (*.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (*.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (pow.f64 x -6) (+.f64 (*.f64 (pow.f64 (tan.f64 x) -3) (pow.f64 x -3)) (pow.f64 (tan.f64 x) -6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))) (fma.f64 (pow.f64 (tan.f64 x) -3) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (pow.f64 x -6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (pow.f64 x -3) x))))
(/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) (*.f64 x (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (neg.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (neg.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (-.f64 (/.f64 (/.f64 -1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (-.f64 (-.f64 (/.f64 (/.f64 -1 x) (tan.f64 x)) (pow.f64 x -2)) (pow.f64 (tan.f64 x) -2)))
(/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 1 (/.f64 (-.f64 (tan.f64 x) x) x)) (tan.f64 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 -1 (tan.f64 x)) x)))
(/.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 -1 (*.f64 x (tan.f64 x))))))
(/.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(/.f64 (*.f64 1 (-.f64 0 (-.f64 (tan.f64 x) x))) (*.f64 x (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (neg.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (neg.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (-.f64 (/.f64 (/.f64 -1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (-.f64 (-.f64 (/.f64 (/.f64 -1 x) (tan.f64 x)) (pow.f64 x -2)) (pow.f64 (tan.f64 x) -2)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (/.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (/.f64 (sqrt.f64 (*.f64 x (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (*.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (/.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (/.f64 (cbrt.f64 (*.f64 x (tan.f64 x))) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (*.f64 x (tan.f64 x)))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 x)) (tan.f64 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (tan.f64 x))) x)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -1 (tan.f64 x))) (neg.f64 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) -1) (*.f64 x (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 -1 x)) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) 1) (-.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 -1 (tan.f64 x)) x)))
(/.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 -1 (*.f64 x (tan.f64 x))))))
(/.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(/.f64 (*.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) 1) (*.f64 x (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) 1) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) 1) (neg.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (neg.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (-.f64 (/.f64 (/.f64 -1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (-.f64 (-.f64 (/.f64 (/.f64 -1 x) (tan.f64 x)) (pow.f64 x -2)) (pow.f64 (tan.f64 x) -2)))
(/.f64 (*.f64 (neg.f64 (-.f64 (tan.f64 x) x)) 1) (neg.f64 (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (/.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (/.f64 (sqrt.f64 (*.f64 x (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (*.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (/.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (*.f64 x (tan.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (/.f64 (cbrt.f64 (*.f64 x (tan.f64 x))) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (*.f64 x (tan.f64 x)))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (pow.f64 x -3) x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (pow.f64 (tan.f64 x) -3))) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))
(/.f64 (-.f64 (pow.f64 x -6) (pow.f64 (tan.f64 x) -6)) (*.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (pow.f64 (tan.f64 x) -6)) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (*.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (pow.f64 x -6) (+.f64 (*.f64 (pow.f64 (tan.f64 x) -3) (pow.f64 x -3)) (pow.f64 (tan.f64 x) -6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))) (fma.f64 (pow.f64 (tan.f64 x) -3) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (pow.f64 x -6))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 x (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (*.f64 x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (*.f64 x (tan.f64 x))) (+.f64 x (tan.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (*.f64 x (*.f64 (tan.f64 x) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) 1) (*.f64 x (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (*.f64 (tan.f64 x) (sqrt.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (*.f64 (tan.f64 x) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (tan.f64 x) (cbrt.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) 1) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (tan.f64 x) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 x) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (*.f64 x (tan.f64 x)))) (sqrt.f64 (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (tan.f64 x))) (cbrt.f64 (*.f64 x (tan.f64 x))))) (cbrt.f64 (*.f64 x (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (*.f64 (tan.f64 x) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (/.f64 1 (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (sin.f64 x)))
(/.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) x) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) (neg.f64 x)) (tan.f64 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 3)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3) 1/3)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 2))
(fabs.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(fma.f64 1 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (tan.f64 x)))

eval82.0ms (0.6%)

Compiler

Compiled 5738 to 3277 computations (42.9% saved)

prune32.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2472249
Fresh000
Picked101
Done000
Total2482250
Error
0.54%
Counts
250 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.54%
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
▶0.84%
(*.f64 1/3 x)
Compiler

Compiled 14 to 11 computations (21.4% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite46.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify66.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.01%
(pow.f64 x 3)
✓0.21%
(*.f64 1/45 (pow.f64 x 3))
0.54%
(*.f64 1/3 x)
Compiler

Compiled 25 to 19 computations (24% saved)

series3.0ms (0%)

Counts
2 → 0
Calls

6 calls:

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

rewrite51.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify43.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

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

eval14.0ms (0.1%)

Compiler

Compiled 654 to 505 computations (22.8% saved)

prune42.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New55762
Fresh000
Picked101
Done011
Total56864
Error
0.38%
Counts
64 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
51.75%
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
▶2.59%
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
▶92.14%
(-.f64 (+.f64 (*.f64 1/3 x) 1) 1)
51.58%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) (*.f64 1/45 (pow.f64 x 3)))
▶0.54%
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
✓0.84%
(*.f64 1/3 x)
▶67.17%
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
▶56.92%
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
Compiler

Compiled 126 to 101 computations (19.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.17%
(*.f64 (*.f64 x x) x)
✓0.21%
(*.f64 1/45 (*.f64 (*.f64 x x) x))
0.54%
(*.f64 1/3 x)
Compiler

Compiled 33 to 14 computations (57.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify55.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1768×log-prod
1270×associate-+r+
1232×associate-+l+
1136×associate-*r*
874×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056460
1131460
2551460
33063460
Stop Event
1×node limit
Counts
46 → 23
Calls
Call 1
Inputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(-.f64 (+.f64 1 (*.f64 1/45 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/45)) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)
(pow.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025))
(log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/45 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 x) 3))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
Outputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(-.f64 (+.f64 1 (*.f64 1/45 (pow.f64 x 3))) 1)
(*.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))
(*.f64 1/45 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.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 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 x 3)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (*.f64 (log.f64 x) 3))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(pow.f64 x 3)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.54%
(*.f64 1/3 x)
✓9.89%
(-.f64 (+.f64 (*.f64 1/3 x) 1) 1)
Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1640×add-sqr-sqrt
1618×*-un-lft-identity
1522×add-cube-cbrt
1512×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11797
223137
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/3 x) 1) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/3 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.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 (sqrt.f64 (fma.f64 1/3 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/3 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/3 x) 2) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2)) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (+.f64 (*.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (-.f64 (fma.f64 1/3 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (-.f64 1 (*.f64 (fma.f64 1/3 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 0) (-.f64 (*.f64 1/3 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/27 (pow.f64 x 3)) 0) (+.f64 (*.f64 1/9 (*.f64 x x)) (-.f64 0 (*.f64 (*.f64 1/3 x) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 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 (*.f64 1/27 (pow.f64 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 fma.f64 1/3 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 x 1)) (sqrt.f64 (fma.f64 1/3 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1)) 2) (cbrt.f64 (fma.f64 1/3 x 1)) -1)))))

simplify62.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1194×times-frac
882×distribute-lft-neg-in
818×distribute-rgt-neg-in
740×associate-+r-
562×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0118911
1269851
2878851
34828851
Stop Event
1×node limit
Counts
63 → 59
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) 0)
(+.f64 1 (fma.f64 1/3 x -1))
(+.f64 (fma.f64 1/3 x 1) -1)
(+.f64 0 (*.f64 1/3 x))
(+.f64 -1 (fma.f64 1/3 x 1))
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.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 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/3 x) 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.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 (sqrt.f64 (fma.f64 1/3 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/3 x 1)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/3 x) 2) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2)) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (+.f64 (*.f64 1/3 x) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (-.f64 (fma.f64 1/3 x 1) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (-.f64 1 (*.f64 (fma.f64 1/3 x 1) -1))))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 0) (-.f64 (*.f64 1/3 x) 0))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 x 3)) 0) (+.f64 (*.f64 1/9 (*.f64 x x)) (-.f64 0 (*.f64 (*.f64 1/3 x) 0))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/3 x) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2))))
(pow.f64 (*.f64 1/3 x) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (*.f64 1/27 (pow.f64 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 (*.f64 1/27 (pow.f64 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)))
(fma.f64 1/3 x 0)
(fma.f64 x 1/3 0)
(fma.f64 1 (*.f64 1/3 x) 0)
(fma.f64 1 (fma.f64 1/3 x 1) -1)
(fma.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)) 0)
(fma.f64 (sqrt.f64 (fma.f64 1/3 x 1)) (sqrt.f64 (fma.f64 1/3 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1)) 2) (cbrt.f64 (fma.f64 1/3 x 1)) -1)
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(+.f64 1 (fma.f64 1/3 x -1))
(*.f64 1/3 x)
(+.f64 (fma.f64 1/3 x 1) -1)
(*.f64 1/3 x)
(+.f64 0 (*.f64 1/3 x))
(*.f64 1/3 x)
(+.f64 -1 (fma.f64 1/3 x 1))
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 x) 1)
(*.f64 1/3 x)
(*.f64 1 (*.f64 1/3 x))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 1/3 x)
(*.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/3 x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 2)) (/.f64 1 (fma.f64 1/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 2)) (fma.f64 1/3 x 2))
(/.f64 (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x 2)) (fma.f64 1/3 x 2))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (fma.f64 1/3 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (fma.f64 1/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 2))))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/3 x)
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/3 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/3 x 1)) 1))
(*.f64 1/3 x)
(/.f64 1 (/.f64 (+.f64 (*.f64 1/3 x) 2) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 2)) (/.f64 1 (fma.f64 1/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 2)) (fma.f64 1/3 x 2))
(/.f64 (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x 2)) (fma.f64 1/3 x 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2)) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (fma.f64 1/3 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (fma.f64 1/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (+.f64 (*.f64 1/3 x) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 2)) (/.f64 1 (fma.f64 1/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 2)) (fma.f64 1/3 x 2))
(/.f64 (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x 2)) (fma.f64 1/3 x 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (-.f64 (fma.f64 1/3 x 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 2)) (/.f64 1 (fma.f64 1/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 2)) (fma.f64 1/3 x 2))
(/.f64 (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x 2)) (fma.f64 1/3 x 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (fma.f64 1/3 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (fma.f64 1/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (-.f64 1 (*.f64 (fma.f64 1/3 x 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (fma.f64 1/3 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (fma.f64 1/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 2))))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 0) (-.f64 (*.f64 1/3 x) 0))
(*.f64 1/3 x)
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 x 3)) 0) (+.f64 (*.f64 1/9 (*.f64 x x)) (-.f64 0 (*.f64 (*.f64 1/3 x) 0))))
(*.f64 1/3 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/3 x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 2)) (/.f64 1 (fma.f64 1/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 2)) (fma.f64 1/3 x 2))
(/.f64 (*.f64 (*.f64 1/3 x) (fma.f64 1/3 x 2)) (fma.f64 1/3 x 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (fma.f64 1/3 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (fma.f64 1/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 2))))
(pow.f64 (*.f64 1/3 x) 1)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(*.f64 1/3 x)
(pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 1/27 (pow.f64 x 3)))
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 1/9 x) x))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(*.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))
(*.f64 1/3 x)
(cbrt.f64 (*.f64 1/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(fma.f64 1/3 x 0)
(*.f64 1/3 x)
(fma.f64 x 1/3 0)
(*.f64 1/3 x)
(fma.f64 1 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(fma.f64 1 (fma.f64 1/3 x 1) -1)
(*.f64 1/3 x)
(fma.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)) 0)
(*.f64 1/3 x)
(fma.f64 (sqrt.f64 (fma.f64 1/3 x 1)) (sqrt.f64 (fma.f64 1/3 x 1)) -1)
(*.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)) 0)
(*.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1)) 2) (cbrt.f64 (fma.f64 1/3 x 1)) -1)
(*.f64 1/3 x)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.16%
(*.f64 x (*.f64 x 1/9))
✓0.59%
(*.f64 x 1/9)
✓43.12%
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite95.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

simplify69.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.41%
(pow.f64 (*.f64 1/3 x) 3)
0.54%
(*.f64 1/3 x)
✓56.55%
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite55.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1422×add-sqr-sqrt
1388×*-un-lft-identity
1314×add-cube-cbrt
1302×add-cbrt-cube
1286×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
118720
2187420
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(pow.f64 (*.f64 1/3 x) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 (*.f64 x x) 1/9) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (cbrt.f64 (*.f64 1/3 x)))))) (#(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 (pow.f64 (*.f64 (*.f64 x x) 1/9) 1/3) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/27 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)))) (#(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 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 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 exp.f64 (*.f64 (log.f64 (*.f64 1/27 (pow.f64 x 3))) 1/3))))) (#(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 (*.f64 1/27 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 x (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/3 (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/27 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 3/2) (pow.f64 (*.f64 1/3 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/9) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) 1) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) (cbrt.f64 (*.f64 (*.f64 x x) 1/9))) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 3) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) 3) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/27 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/27 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/27 (pow.f64 x 3))))))))

simplify73.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1436×distribute-lft-in
1432×distribute-rgt-in
960×associate-+r+
934×associate-+l+
598×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01171032
12851008
29911008
327321008
Stop Event
1×node limit
Counts
78 → 64
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.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 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/9)))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 (*.f64 x x) 1/9) 1/3))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) 1/9) 1/3) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (pow.f64 1 1/3) (*.f64 1/3 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3))
(*.f64 (pow.f64 1/27 1/3) x)
(pow.f64 (*.f64 1/3 x) 1)
(pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(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))
(exp.f64 (*.f64 (log.f64 (*.f64 1/27 (pow.f64 x 3))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(-.f64 (+.f64 1 (*.f64 1/27 (pow.f64 x 3))) 1)
(*.f64 1/3 (*.f64 x (*.f64 (*.f64 x x) 1/9)))
(*.f64 x (*.f64 1/3 (*.f64 (*.f64 x x) 1/9)))
(*.f64 (*.f64 1/3 x) (*.f64 (*.f64 x x) 1/9))
(*.f64 (*.f64 1/27 (pow.f64 x 3)) 1)
(*.f64 1 (*.f64 1/27 (pow.f64 x 3)))
(*.f64 (pow.f64 (*.f64 1/3 x) 3/2) (pow.f64 (*.f64 1/3 x) 3/2))
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (*.f64 x x) 1/9)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (*.f64 x x) 1/9)))
(*.f64 (*.f64 (*.f64 x x) 1/9) (*.f64 1/3 x))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/27)
(*.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) 1/3) x)
(*.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) x) 1/3)
(*.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) 1) (*.f64 1/3 x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) (cbrt.f64 (*.f64 (*.f64 x x) 1/9))) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 3) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) 3) (*.f64 1/3 x))
(sqrt.f64 (pow.f64 (*.f64 1/3 x) 6))
(log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 1/27 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/27 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/27 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/27 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/27 (pow.f64 x 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 (*.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 x) 1)
(*.f64 1/3 x)
(*.f64 1 (*.f64 1/3 x))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/9)))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 (*.f64 x x) 1/9) 1/3))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/3 x)
(*.f64 (pow.f64 (*.f64 (*.f64 x x) 1/9) 1/3) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 (pow.f64 1 1/3) (*.f64 1/3 x))
(*.f64 1/3 x)
(*.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 1/3 x) 3/2)))
(*.f64 (pow.f64 1/27 1/3) x)
(*.f64 x (cbrt.f64 1/27))
(pow.f64 (*.f64 1/3 x) 1)
(*.f64 1/3 x)
(pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)
(*.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)
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(*.f64 1/3 x)
(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)
(exp.f64 (*.f64 (log.f64 (*.f64 1/27 (pow.f64 x 3))) 1/3))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/27 (pow.f64 x 3))) 1)
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/3 (*.f64 x (*.f64 (*.f64 x x) 1/9)))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 x (*.f64 1/3 (*.f64 (*.f64 x x) 1/9)))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (*.f64 1/3 x) (*.f64 (*.f64 x x) 1/9))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (*.f64 1/27 (pow.f64 x 3)) 1)
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1 (*.f64 1/27 (pow.f64 x 3)))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (pow.f64 (*.f64 1/3 x) 3/2) (pow.f64 (*.f64 1/3 x) 3/2))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (*.f64 x x) 1/9)))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (*.f64 x x) 1/9)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 x (*.f64 x 1/9))))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 4))
(*.f64 (*.f64 (*.f64 x x) 1/9) (*.f64 1/3 x))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/27)
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) 1/3) x)
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) x) 1/3)
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) 1) (*.f64 1/3 x))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x)))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) (cbrt.f64 (*.f64 (*.f64 x x) 1/9))) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 x (*.f64 x 1/9))))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 4))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 3) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) 3) (*.f64 1/3 x))
(*.f64 1/27 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 1/3 x) 6))
(*.f64 1/27 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 x 3)))
(*.f64 1/27 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 1/27 (pow.f64 x 3)) 3))
(*.f64 1/27 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/27 (pow.f64 x 3))))
(*.f64 1/27 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/27 (pow.f64 x 3))))
(*.f64 1/27 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 1/27 (pow.f64 x 3))) 1))
(*.f64 1/27 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/27 (pow.f64 x 3))))
(*.f64 1/27 (pow.f64 x 3))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.54%
(*.f64 1/3 x)
✓0.98%
(cbrt.f64 (*.f64 1/3 x))
✓1.11%
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series4.0ms (0%)

Counts
2 → 0
Calls

6 calls:

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

rewrite86.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify49.0ms (0.4%)

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

Useful iterations: 2 (0.0ms)

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

eval310.0ms (2.2%)

Compiler

Compiled 3001 to 2356 computations (21.5% saved)

prune45.0ms (0.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New3126318
Fresh202
Picked101
Done235
Total3179326
Error
0.02%
Counts
326 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶2.95%
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
▶43.58%
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 0) (-.f64 (*.f64 1/3 x) 0))
✓92.14%
(-.f64 (+.f64 (*.f64 1/3 x) 1) 1)
▶51.58%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
✓0.54%
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
2.6%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))
▶1.39%
(*.f64 (pow.f64 1/27 1/3) x)
▶2.64%
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓0.84%
(*.f64 1/3 x)
Compiler

Compiled 154 to 120 computations (22.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.54%
(*.f64 (pow.f64 1/27 1/3) x)
✓1.56%
(pow.f64 1/27 1/3)
Compiler

Compiled 12 to 10 computations (16.7% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (pow.f64 1/27 1/3) x)
0.0ms
x
@-inf
(*.f64 (pow.f64 1/27 1/3) x)
0.0ms
x
@inf
(*.f64 (pow.f64 1/27 1/3) x)

rewrite50.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1064×add-sqr-sqrt
1036×*-un-lft-identity
988×pow1
980×add-cube-cbrt
972×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11508
213398
Stop Event
1×node limit
Counts
2 → 12
Calls
Call 1
Inputs
(pow.f64 1/27 1/3)
(*.f64 (pow.f64 1/27 1/3) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/3)))))
((#(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 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))))

simplify64.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1024×*-commutative
860×log-prod
730×associate--l+
666×distribute-lft-out
632×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032162
180162
2269162
31579162
44462162
56901162
Stop Event
1×node limit
Counts
24 → 13
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)
1/3
(-.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 (*.f64 x x) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(exp.f64 (log.f64 (*.f64 1/3 x)))
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
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)
1/3
(-.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 (*.f64 x x) 1/9))
(*.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)
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.28%
(*.f64 1/9 (*.f64 x x))
0.54%
(*.f64 1/3 x)
✓43.39%
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 0) (-.f64 (*.f64 1/3 x) 0))
Compiler

Compiled 41 to 26 computations (36.6% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite64.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1872×add-sqr-sqrt
1842×*-un-lft-identity
1752×add-cube-cbrt
216×add-exp-log
216×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01238
127720
2344920
Stop Event
1×node limit
Counts
2 → 126
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 0) (-.f64 (*.f64 1/3 x) 0))
(*.f64 1/9 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/3) (/.f64 0 (*.f64 x (*.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (*.f64 (*.f64 x x) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 (*.f64 x x) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 1/9 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 1/9 x)) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) (*.f64 (*.f64 x 1/3) (/.f64 3 x)))))) (#(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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x (*.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (/.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/9 x) (*.f64 x (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 x) (*.f64 x (*.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 (*.f64 x (*.f64 1/9 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/27 (pow.f64 x 3)) (/.f64 1 (*.f64 x (*.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -1/9) (/.f64 1 (*.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 x (*.f64 1/9 x)))))))) (#(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 1 x) (/.f64 (*.f64 x (*.f64 1/9 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x 1/3))) (/.f64 (*.f64 x (*.f64 1/9 x)) (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x (*.f64 1/9 x)))) (/.f64 (*.f64 x (*.f64 1/9 x)) (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) 1) (/.f64 (*.f64 x 1/3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) x) (/.f64 (*.f64 x 1/3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 x (*.f64 1/9 x))) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 x) (/.f64 (*.f64 x x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1/3) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 (sqrt.f64 (*.f64 x 1/3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 1/3))) (/.f64 1/9 (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 (cbrt.f64 (*.f64 x (*.f64 1/9 x)))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/9 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x (*.f64 1/9 x)))) (/.f64 1/9 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) 1/3) (/.f64 (*.f64 x 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) x) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/3) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (sqrt.f64 (*.f64 x 1/3))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/9 x) x) (/.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/9 x) 1/3) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/9 x) 1) (/.f64 x (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/9 x) (sqrt.f64 (*.f64 x 1/3))) (/.f64 x (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/9 x) (cbrt.f64 (*.f64 x (*.f64 1/9 x)))) (/.f64 x (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/9 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 (/.f64 3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 1/9 x)) (/.f64 3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (cbrt.f64 (*.f64 x 1/3)) 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/9 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 1/9 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 1/9 x)) (/.f64 0 (*.f64 x (*.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 1/9 x)) (/.f64 0 (*.f64 (pow.f64 x 4) 1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 1/9 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (/.f64 3 x) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (*.f64 x 1/3) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 3 x) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (pow.f64 x 4) 1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 1/81) (pow.f64 (*.f64 x (*.f64 1/9 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 1/81) (*.f64 x (*.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/27 (pow.f64 x 3)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 x (*.f64 1/9 x)) 3) (*.f64 (pow.f64 x 4) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -1/9) (*.f64 (/.f64 3 x) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -1/9) (*.f64 (*.f64 x x) -1/9)) (*.f64 (*.f64 x -1/3) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 1/27 (pow.f64 x 3))) (*.f64 1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/3) (*.f64 (*.f64 x x) -1/9)) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) 1/9) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) (*.f64 x x)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) 1) (*.f64 x (*.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (cbrt.f64 (*.f64 x (*.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) (*.f64 1/9 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 1/9 x)) 3)) (neg.f64 (*.f64 (pow.f64 x 4) 1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -1/9) (*.f64 x 1/3)) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (*.f64 x x) -1/9)) (*.f64 (*.f64 x x) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -1/9) (*.f64 x (*.f64 1/9 x))) (*.f64 (*.f64 x x) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) -1/9) 1) (*.f64 (*.f64 x -1/3) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/27 (pow.f64 x 3)) (*.f64 x (*.f64 1/9 x))) (*.f64 1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/81)) (*.f64 (*.f64 x x) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/9 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 x (*.f64 1/9 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 1/9 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 (exp.f64 (*.f64 x (*.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/9 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 1/9 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/9 (*.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/9 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/3) (*.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 1/9 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (*.f64 x (*.f64 1/9 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/9 x) x 0)))))

simplify82.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1522×times-frac
1064×associate-/l*
862×distribute-lft-neg-in
616×associate-*r*
560×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02612240
18072178
258972178
Stop Event
1×node limit
Counts
150 → 151
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 0 (*.f64 x 1/3))
(+.f64 (*.f64 x 1/3) 0)
(-.f64 (*.f64 x 1/3) 0)
(-.f64 (*.f64 x 1/3) (/.f64 0 (*.f64 x (*.f64 1/9 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(*.f64 1/9 (*.f64 (*.f64 x x) (/.f64 3 x)))
(*.f64 1/9 (/.f64 (*.f64 x x) (*.f64 x 1/3)))
(*.f64 x 1/3)
(*.f64 (*.f64 x x) (*.f64 1/9 (/.f64 3 x)))
(*.f64 (*.f64 x (*.f64 1/9 x)) (/.f64 3 x))
(*.f64 1/3 x)
(*.f64 1/3 (/.f64 (*.f64 x x) x))
(*.f64 (*.f64 x 1/3) 1)
(*.f64 (*.f64 x 1/3) (*.f64 (*.f64 x 1/3) (/.f64 3 x)))
(*.f64 1 (*.f64 x 1/3))
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (/.f64 3 x)))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x (*.f64 1/9 x))))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (/.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 (*.f64 1/9 x) (*.f64 x (/.f64 3 x)))
(*.f64 (/.f64 3 x) (*.f64 x (*.f64 1/9 x)))
(*.f64 3 (/.f64 (*.f64 x (*.f64 1/9 x)) x))
(*.f64 (*.f64 1/27 (pow.f64 x 3)) (/.f64 1 (*.f64 x (*.f64 1/9 x))))
(*.f64 (*.f64 (*.f64 x x) -1/9) (/.f64 1 (*.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 x (*.f64 1/9 x)))))
(*.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 1 x) (/.f64 (*.f64 x (*.f64 1/9 x)) 1/3))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x 1/3))) (/.f64 (*.f64 x (*.f64 1/9 x)) (sqrt.f64 (*.f64 x 1/3))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (*.f64 1/9 x)))) (/.f64 (*.f64 x (*.f64 1/9 x)) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (/.f64 (*.f64 x 1/3) 1) (/.f64 (*.f64 x 1/3) (*.f64 x 1/3)))
(*.f64 (/.f64 (*.f64 x 1/3) x) (/.f64 (*.f64 x 1/3) 1/3))
(*.f64 (/.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 x (*.f64 1/9 x))) (*.f64 x 1/3))
(*.f64 (/.f64 1/9 x) (/.f64 (*.f64 x x) 1/3))
(*.f64 (/.f64 (*.f64 x x) 1/3) (/.f64 1/9 x))
(*.f64 (/.f64 (*.f64 x x) x) 1/3)
(*.f64 (/.f64 1/9 (sqrt.f64 (*.f64 x 1/3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 1/3))))
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 1/3))) (/.f64 1/9 (sqrt.f64 (*.f64 x 1/3))))
(*.f64 (/.f64 1/9 (cbrt.f64 (*.f64 x (*.f64 1/9 x)))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/9 (*.f64 x 1/3)))
(*.f64 (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x (*.f64 1/9 x)))) (/.f64 1/9 (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (/.f64 (*.f64 x 1/3) 1/3) (/.f64 (*.f64 x 1/3) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) x) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) 1/3))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/3) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (*.f64 x 1/3)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (sqrt.f64 (*.f64 x 1/3))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (sqrt.f64 (*.f64 x 1/3))))
(*.f64 (/.f64 (*.f64 1/9 x) x) (/.f64 x 1/3))
(*.f64 (/.f64 (*.f64 1/9 x) 1/3) (/.f64 x x))
(*.f64 (/.f64 (*.f64 1/9 x) 1) (/.f64 x (*.f64 x 1/3)))
(*.f64 (/.f64 (*.f64 1/9 x) (sqrt.f64 (*.f64 x 1/3))) (/.f64 x (sqrt.f64 (*.f64 x 1/3))))
(*.f64 (/.f64 (*.f64 1/9 x) (cbrt.f64 (*.f64 x (*.f64 1/9 x)))) (/.f64 x (cbrt.f64 (*.f64 x 1/3))))
(pow.f64 (*.f64 x (*.f64 1/9 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 (/.f64 3 x) -1)
(pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)
(neg.f64 (/.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 x -1/3)))
(sqrt.f64 (*.f64 x (*.f64 1/9 x)))
(fabs.f64 (*.f64 x 1/3))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 1/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(fma.f64 x 1/3 0)
(fma.f64 (*.f64 x (*.f64 1/9 x)) (/.f64 3 x) 0)
(fma.f64 1/3 x 0)
(fma.f64 1 (*.f64 x 1/3) 0)
(fma.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)) 0)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (cbrt.f64 (*.f64 x 1/3)) 0)
(+.f64 (*.f64 x (*.f64 1/9 x)) 0)
(+.f64 0 (*.f64 x (*.f64 1/9 x)))
(-.f64 (*.f64 x (*.f64 1/9 x)) 0)
(-.f64 (*.f64 x (*.f64 1/9 x)) (/.f64 0 (*.f64 x (*.f64 1/9 x))))
(-.f64 (*.f64 x (*.f64 1/9 x)) (/.f64 0 (*.f64 (pow.f64 x 4) 1/81)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 1/9 x)))) 1)
(/.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (/.f64 3 x) (*.f64 x 1/3)))
(/.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (*.f64 x 1/3) (/.f64 3 x)))
(/.f64 (*.f64 x 1/3) (/.f64 3 x))
(/.f64 1 (*.f64 (/.f64 3 x) (/.f64 3 x)))
(/.f64 1 (/.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (pow.f64 x 4) 1/81)))
(/.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 1/81) (pow.f64 (*.f64 x (*.f64 1/9 x)) 3)))
(/.f64 (*.f64 (pow.f64 x 4) 1/81) (*.f64 x (*.f64 1/9 x)))
(/.f64 (*.f64 1/27 (pow.f64 x 3)) (*.f64 x 1/3))
(/.f64 (pow.f64 (*.f64 x (*.f64 1/9 x)) 3) (*.f64 (pow.f64 x 4) 1/81))
(/.f64 (*.f64 (*.f64 x x) -1/9) (*.f64 (/.f64 3 x) (*.f64 x -1/3)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -1/9) (*.f64 (*.f64 x x) -1/9)) (*.f64 (*.f64 x -1/3) (*.f64 x -1/3)))
(/.f64 (*.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 1/27 (pow.f64 x 3))) (*.f64 1/27 (pow.f64 x 3)))
(/.f64 (*.f64 (*.f64 x 1/3) (*.f64 (*.f64 x x) -1/9)) (*.f64 x -1/3))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) 1/9) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) (*.f64 x x)) 1/9)
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) 1) (*.f64 x (*.f64 1/9 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (cbrt.f64 (*.f64 x (*.f64 1/9 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) (*.f64 1/9 x)) x)
(/.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 1/9 x)) 3)) (neg.f64 (*.f64 (pow.f64 x 4) 1/81)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -1/9) (*.f64 x 1/3)) (*.f64 x -1/3))
(/.f64 (*.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (*.f64 x x) -1/9)) (*.f64 (*.f64 x x) -1/9))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -1/9) (*.f64 x (*.f64 1/9 x))) (*.f64 (*.f64 x x) -1/9))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -1/9) 1) (*.f64 (*.f64 x -1/3) (/.f64 3 x)))
(/.f64 (*.f64 (*.f64 1/27 (pow.f64 x 3)) (*.f64 x (*.f64 1/9 x))) (*.f64 1/27 (pow.f64 x 3)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/81)) (*.f64 (*.f64 x x) -1/9))
(pow.f64 (*.f64 x (*.f64 1/9 x)) 1)
(pow.f64 (*.f64 x 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 1/9 x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/81))
(log.f64 (exp.f64 (*.f64 x (*.f64 1/9 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 1/9 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/9 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/9 x))))
(exp.f64 (log.f64 (*.f64 x (*.f64 1/9 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 1/9 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/9 x))))
(fma.f64 1/9 (*.f64 x x) 0)
(fma.f64 (*.f64 x x) 1/9 0)
(fma.f64 (*.f64 x 1/3) (*.f64 x 1/3) 0)
(fma.f64 1 (*.f64 x (*.f64 1/9 x)) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (*.f64 x (*.f64 1/9 x))) 0)
(fma.f64 (*.f64 1/9 x) x 0)
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 1/9 (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 0 (*.f64 x 1/3))
(*.f64 1/3 x)
(+.f64 (*.f64 x 1/3) 0)
(*.f64 1/3 x)
(-.f64 (*.f64 x 1/3) 0)
(*.f64 1/3 x)
(-.f64 (*.f64 x 1/3) (/.f64 0 (*.f64 x (*.f64 1/9 x))))
(*.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(*.f64 1/3 x)
(*.f64 1/9 (*.f64 (*.f64 x x) (/.f64 3 x)))
(*.f64 1/3 x)
(*.f64 1/9 (/.f64 (*.f64 x x) (*.f64 x 1/3)))
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 (*.f64 x x) (*.f64 1/9 (/.f64 3 x)))
(*.f64 1/3 x)
(*.f64 (*.f64 x (*.f64 1/9 x)) (/.f64 3 x))
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 (/.f64 (*.f64 x x) x))
(*.f64 1/3 x)
(*.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(*.f64 (*.f64 x 1/3) (*.f64 (*.f64 x 1/3) (/.f64 3 x)))
(*.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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (/.f64 3 x)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (*.f64 (/.f64 3 x) (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (/.f64 3 x) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x (*.f64 1/9 x))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (/.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (/.f64 (*.f64 1/3 x) (cbrt.f64 (*.f64 1/3 x))))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (/.f64 x (cbrt.f64 (*.f64 1/3 x))) 1/3))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (*.f64 1/9 x) (*.f64 x (/.f64 3 x)))
(*.f64 1/3 x)
(*.f64 (/.f64 3 x) (*.f64 x (*.f64 1/9 x)))
(*.f64 1/3 x)
(*.f64 3 (/.f64 (*.f64 x (*.f64 1/9 x)) x))
(*.f64 1/3 x)
(*.f64 (*.f64 1/27 (pow.f64 x 3)) (/.f64 1 (*.f64 x (*.f64 1/9 x))))
(*.f64 1/27 (*.f64 (pow.f64 x 3) (/.f64 (/.f64 1 x) (*.f64 x 1/9))))
(/.f64 1/27 (/.f64 1/9 x))
(*.f64 (*.f64 (*.f64 x x) -1/9) (/.f64 1 (*.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 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/3 x)
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 1/9 x)) 1/3))
(*.f64 1/3 x)
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x 1/3))) (/.f64 (*.f64 x (*.f64 1/9 x)) (sqrt.f64 (*.f64 x 1/3))))
(*.f64 1/3 x)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (*.f64 1/9 x)))) (/.f64 (*.f64 x (*.f64 1/9 x)) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) (/.f64 x (/.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 x 1/9))))
(*.f64 (/.f64 1/9 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) (*.f64 (/.f64 x (cbrt.f64 (*.f64 1/3 x))) x))
(*.f64 (/.f64 (*.f64 x 1/3) 1) (/.f64 (*.f64 x 1/3) (*.f64 x 1/3)))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 x 1/3) x) (/.f64 (*.f64 x 1/3) 1/3))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 x (*.f64 1/9 x))) (*.f64 x 1/3))
(*.f64 1/3 x)
(*.f64 (/.f64 1/9 x) (/.f64 (*.f64 x x) 1/3))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 x x) 1/3) (/.f64 1/9 x))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 x x) x) 1/3)
(*.f64 1/3 x)
(*.f64 (/.f64 1/9 (sqrt.f64 (*.f64 x 1/3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 1/3))))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 1/3))) (/.f64 1/9 (sqrt.f64 (*.f64 x 1/3))))
(*.f64 1/3 x)
(*.f64 (/.f64 1/9 (cbrt.f64 (*.f64 x (*.f64 1/9 x)))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) (/.f64 x (/.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 x 1/9))))
(*.f64 (/.f64 1/9 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) (*.f64 (/.f64 x (cbrt.f64 (*.f64 1/3 x))) x))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/9 (*.f64 x 1/3)))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x (*.f64 1/9 x)))) (/.f64 1/9 (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) (/.f64 x (/.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 x 1/9))))
(*.f64 (/.f64 1/9 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) (*.f64 (/.f64 x (cbrt.f64 (*.f64 1/3 x))) x))
(*.f64 (/.f64 (*.f64 x 1/3) 1/3) (/.f64 (*.f64 x 1/3) x))
(*.f64 1/3 x)
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) x) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) 1/3))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (*.f64 (/.f64 3 x) (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (/.f64 3 x) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/3) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (*.f64 (/.f64 3 x) (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (/.f64 3 x) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (*.f64 x 1/3)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (*.f64 (/.f64 3 x) (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (/.f64 3 x) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (sqrt.f64 (*.f64 x 1/3))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (sqrt.f64 (*.f64 x 1/3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (*.f64 (/.f64 3 x) (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (/.f64 3 x) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (/.f64 (*.f64 1/9 x) x) (/.f64 x 1/3))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 1/9 x) 1/3) (/.f64 x x))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 1/9 x) 1) (/.f64 x (*.f64 x 1/3)))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 1/9 x) (sqrt.f64 (*.f64 x 1/3))) (/.f64 x (sqrt.f64 (*.f64 x 1/3))))
(*.f64 1/3 x)
(*.f64 (/.f64 (*.f64 1/9 x) (cbrt.f64 (*.f64 x (*.f64 1/9 x)))) (/.f64 x (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) (/.f64 x (/.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 x 1/9))))
(*.f64 (/.f64 1/9 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) (*.f64 (/.f64 x (cbrt.f64 (*.f64 1/3 x))) x))
(pow.f64 (*.f64 x (*.f64 1/9 x)) 1/2)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(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 (/.f64 3 x) -1)
(*.f64 1/3 x)
(pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 1/27 (pow.f64 x 3)))
(neg.f64 (/.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 x -1/3)))
(*.f64 1/3 x)
(sqrt.f64 (*.f64 x (*.f64 1/9 x)))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(fabs.f64 (*.f64 x 1/3))
(*.f64 1/3 x)
(log.f64 (pow.f64 (exp.f64 1/3) x))
(*.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(*.f64 1/3 x)
(cbrt.f64 (*.f64 1/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(fma.f64 x 1/3 0)
(*.f64 1/3 x)
(fma.f64 (*.f64 x (*.f64 1/9 x)) (/.f64 3 x) 0)
(*.f64 1/3 x)
(fma.f64 1/3 x 0)
(*.f64 1/3 x)
(fma.f64 1 (*.f64 x 1/3) 0)
(*.f64 1/3 x)
(fma.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)) 0)
(*.f64 1/3 x)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 1/9 x))) (cbrt.f64 (*.f64 x 1/3)) 0)
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 1/3 x)))
(+.f64 (*.f64 x (*.f64 1/9 x)) 0)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(+.f64 0 (*.f64 x (*.f64 1/9 x)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(-.f64 (*.f64 x (*.f64 1/9 x)) 0)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(-.f64 (*.f64 x (*.f64 1/9 x)) (/.f64 0 (*.f64 x (*.f64 1/9 x))))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(-.f64 (*.f64 x (*.f64 1/9 x)) (/.f64 0 (*.f64 (pow.f64 x 4) 1/81)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 1/9 x)))) 1)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (/.f64 3 x) (*.f64 x 1/3)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (*.f64 x 1/3) (/.f64 3 x)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (*.f64 x 1/3) (/.f64 3 x))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 1 (*.f64 (/.f64 3 x) (/.f64 3 x)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 1 (/.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (pow.f64 x 4) 1/81)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 1/81) (pow.f64 (*.f64 x (*.f64 1/9 x)) 3)))
(/.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 1/81) (pow.f64 (*.f64 x (*.f64 x 1/9)) 3)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3) (/.f64 81 (pow.f64 x 4)))
(/.f64 (*.f64 (pow.f64 x 4) 1/81) (*.f64 x (*.f64 1/9 x)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (*.f64 1/27 (pow.f64 x 3)) (*.f64 x 1/3))
(*.f64 (/.f64 1/27 x) (/.f64 (pow.f64 x 3) 1/3))
(*.f64 1/9 (/.f64 (pow.f64 x 3) x))
(/.f64 (pow.f64 (*.f64 x (*.f64 1/9 x)) 3) (*.f64 (pow.f64 x 4) 1/81))
(/.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3) (*.f64 (pow.f64 x 4) 1/81))
(/.f64 (*.f64 (*.f64 x x) -1/9) (*.f64 (/.f64 3 x) (*.f64 x -1/3)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -1/9) (*.f64 (*.f64 x x) -1/9)) (*.f64 (*.f64 x -1/3) (*.f64 x -1/3)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (*.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 1/27 (pow.f64 x 3))) (*.f64 1/27 (pow.f64 x 3)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (*.f64 (*.f64 x 1/3) (*.f64 (*.f64 x x) -1/9)) (*.f64 x -1/3))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) 1/9) (*.f64 x x))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) (*.f64 x x)) 1/9)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) 1) (*.f64 x (*.f64 1/9 x)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (cbrt.f64 (*.f64 x (*.f64 1/9 x))))
(/.f64 (*.f64 (pow.f64 x 4) 1/81) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))))
(*.f64 (/.f64 1/81 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) (/.f64 (pow.f64 x 4) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/81) (*.f64 1/9 x)) x)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 1/9 x)) 3)) (neg.f64 (*.f64 (pow.f64 x 4) 1/81)))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3)) (*.f64 (pow.f64 x 4) -1/81))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -1/9) (*.f64 x 1/3)) (*.f64 x -1/3))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (*.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (*.f64 x x) -1/9)) (*.f64 (*.f64 x x) -1/9))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -1/9) (*.f64 x (*.f64 1/9 x))) (*.f64 (*.f64 x x) -1/9))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -1/9) 1) (*.f64 (*.f64 x -1/3) (/.f64 3 x)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (*.f64 (*.f64 1/27 (pow.f64 x 3)) (*.f64 x (*.f64 1/9 x))) (*.f64 1/27 (pow.f64 x 3)))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/81)) (*.f64 (*.f64 x x) -1/9))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(pow.f64 (*.f64 x (*.f64 1/9 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 x (*.f64 1/9 x))) 3)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(pow.f64 (pow.f64 (*.f64 x (*.f64 1/9 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))
(log.f64 (exp.f64 (*.f64 x (*.f64 1/9 x))))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 1/9 x)))))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/9 x)) 3))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/9 x))))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(exp.f64 (log.f64 (*.f64 x (*.f64 1/9 x))))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 1/9 x))) 1))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/9 x))))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(fma.f64 1/9 (*.f64 x x) 0)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(fma.f64 (*.f64 x x) 1/9 0)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(fma.f64 (*.f64 x 1/3) (*.f64 x 1/3) 0)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(fma.f64 1 (*.f64 x (*.f64 1/9 x)) 0)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (*.f64 x (*.f64 1/9 x))) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 0)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))
(fma.f64 (*.f64 1/9 x) x 0)
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.17%
(*.f64 (*.f64 x x) x)
0.21%
(*.f64 1/45 (*.f64 (*.f64 x x) x))
✓0.32%
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
0.54%
(*.f64 1/3 x)
Compiler

Compiled 47 to 26 computations (44.7% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite51.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
097
11837
217647
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/4) (*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 1/3 x) 1/4)) (pow.f64 (*.f64 1/3 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 1/3)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/3) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))))

simplify57.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
918×unswap-sqr
750×*-commutative
622×distribute-lft-out
568×distribute-lft-in
562×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064475
1143325
2318175
31260175
44811175
Stop Event
1×node limit
Counts
25 → 27
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 (*.f64 1/3 x) 1)
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))
(*.f64 1 (*.f64 1/3 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 1/3 x) 1/4)) (pow.f64 (*.f64 1/3 x) 1/4))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 1/3)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(exp.f64 (log.f64 (*.f64 1/3 x)))
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
Outputs
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 1/3 x)
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 x 1/3)
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 x) 1)
(+.f64 (+.f64 1 (*.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 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 1 (*.f64 1/3 x))
(+.f64 (+.f64 1 (*.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 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 x))))
(+.f64 (+.f64 1 (*.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 (+.f64 1 (*.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 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x))))
(+.f64 (+.f64 1 (*.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 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 1/3 x) 1/4)) (pow.f64 (*.f64 1/3 x) 1/4))
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 (+.f64 1 (*.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 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 1/3)) (sqrt.f64 x))
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(log.f64 (pow.f64 (exp.f64 1/3) x))
(+.f64 (+.f64 1 (*.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 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 1/3 x)))
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.71%
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3))
✓1.06%
(cbrt.f64 x)
✓1.11%
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
Compiler

Compiled 20 to 14 computations (30% saved)

series3.0ms (0%)

Counts
3 → 0
Calls

9 calls:

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

rewrite92.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1676×add-sqr-sqrt
1642×*-un-lft-identity
1550×add-cube-cbrt
1534×add-cbrt-cube
176×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01033
120423
2222523
Stop Event
1×node limit
Counts
3 → 63
Calls
Call 1
Inputs
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/3) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 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 (cbrt.f64 (*.f64 x 1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 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 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 x)) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 1/3)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (sqrt.f64 (cbrt.f64 (*.f64 x 1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2) 3) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/3))))))))

simplify82.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1382×fma-def
560×exp-prod
530×+-commutative
496×*-commutative
458×sqr-pow
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0127589
1263589
21106589
33244583
47573583
Stop Event
1×node limit
Counts
63 → 67
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(*.f64 x 1/3)
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/3) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 1/3 x)
(*.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(*.f64 (*.f64 x 1/3) 1)
(*.f64 1 (*.f64 x 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 x)) (cbrt.f64 1/3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 1/3)) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (sqrt.f64 (cbrt.f64 (*.f64 x 1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2) 3) (cbrt.f64 (*.f64 x 1/3)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(log.f64 (exp.f64 (*.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3)))) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 1)
(pow.f64 (*.f64 x 1/3) 1/3)
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/3)))))
(cbrt.f64 (*.f64 x 1/3))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/3))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(*.f64 x 1/3)
(*.f64 x 1/3)
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/3) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/3) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(*.f64 x 1/3)
(*.f64 (*.f64 x 1/3) 1)
(*.f64 x 1/3)
(*.f64 1 (*.f64 x 1/3))
(*.f64 x 1/3)
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 x 1/3)
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 x 1/3)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 x 1/3)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 x 1/3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 x)) (cbrt.f64 1/3))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/3) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 1/3)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/3) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (sqrt.f64 (cbrt.f64 (*.f64 x 1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))))
(*.f64 x 1/3)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))))
(*.f64 x 1/3)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3))
(*.f64 x 1/3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2) 3) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(*.f64 x 1/3)
(log.f64 (exp.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(*.f64 x 1/3)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 x 1/3)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(*.f64 x 1/3)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 x 1/3)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(cbrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 x) 1/6) 4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 1/6) 2)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(cbrt.f64 x)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) 1/3))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3)))) 1)
(cbrt.f64 (*.f64 x 1/3))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 1)
(cbrt.f64 (*.f64 x 1/3))
(pow.f64 (*.f64 x 1/3) 1/3)
(cbrt.f64 (*.f64 x 1/3))
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2)
(cbrt.f64 (*.f64 x 1/3))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3)
(cbrt.f64 (*.f64 x 1/3))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(cbrt.f64 (*.f64 x 1/3))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 x 1/3))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/3)))))
(cbrt.f64 (*.f64 x 1/3))
(cbrt.f64 (*.f64 x 1/3))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 x 1/3))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 x 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 1))
(cbrt.f64 (*.f64 x 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 x 1/3))

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5%
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓0.64%
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
✓0.74%
(pow.f64 (cbrt.f64 x) 2)
1.06%
(cbrt.f64 x)
Compiler

Compiled 25 to 15 computations (40% saved)

series11.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
3.0ms
x
@-inf
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
2.0ms
x
@0
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
0.0ms
x
@-inf
(pow.f64 (cbrt.f64 x) 2)
0.0ms
x
@0
(pow.f64 (cbrt.f64 x) 2)

rewrite59.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1650×add-sqr-sqrt
1626×*-un-lft-identity
1514×add-cube-cbrt
1496×add-cbrt-cube
180×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
120035
2218535
Stop Event
1×node limit
Counts
3 → 44
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 x) 2)
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/9 (*.f64 x x)) 1/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 1/9 (*.f64 x x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))))

simplify45.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1840×distribute-rgt-in
1818×distribute-lft-in
962×associate-*r*
856×associate-*l*
454×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101678
1205666
2593660
33041660
Stop Event
1×node limit
Counts
56 → 56
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) 1)
(pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)) 3)
(pow.f64 (*.f64 (*.f64 1/9 (*.f64 x x)) 1/3) 1/3)
(sqrt.f64 (*.f64 1/9 (*.f64 x (cbrt.f64 x))))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3))))
(cbrt.f64 (*.f64 (*.f64 1/9 (*.f64 x x)) 1/3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) 2)
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(pow.f64 (cbrt.f64 x) 2)
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 1))
(pow.f64 (cbrt.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3))) 1)
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) 1)
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 1/3)) 2)
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)) 3)
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (*.f64 1/9 (*.f64 x x)) 1/3) 1/3)
(cbrt.f64 (*.f64 1/3 (*.f64 (*.f64 x x) 1/9)))
(cbrt.f64 (*.f64 (*.f64 x x) 1/27))
(cbrt.f64 (*.f64 x (*.f64 x 1/27)))
(sqrt.f64 (*.f64 1/9 (*.f64 x (cbrt.f64 x))))
(sqrt.f64 (*.f64 (*.f64 x (cbrt.f64 x)) 1/9))
(sqrt.f64 (*.f64 (cbrt.f64 x) (*.f64 x 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3))))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(cbrt.f64 (*.f64 (*.f64 1/9 (*.f64 x x)) 1/3))
(cbrt.f64 (*.f64 1/3 (*.f64 (*.f64 x x) 1/9)))
(cbrt.f64 (*.f64 (*.f64 x x) 1/27))
(cbrt.f64 (*.f64 x (*.f64 x 1/27)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)) 1))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(*.f64 1/3 x)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 1/3 x)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 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 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)

eval156.0ms (1.1%)

Compiler

Compiled 5130 to 3631 computations (29.2% saved)

prune83.0ms (0.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New4056411
Fresh101
Picked101
Done347
Total41010420
Error
0%
Counts
420 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
0.63%
(/.f64 1/27 (/.f64 1/9 x))
✓92.14%
(-.f64 (+.f64 (*.f64 1/3 x) 1) 1)
✓51.58%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
✓0.54%
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
43.52%
(*.f64 (/.f64 (*.f64 x x) x) 1/3)
0.7%
(*.f64 (/.f64 (*.f64 1/9 x) x) (/.f64 x 1/3))
0.53%
(*.f64 (/.f64 (*.f64 1/9 x) 1) (/.f64 x (*.f64 x 1/3)))
0.65%
(*.f64 (/.f64 (*.f64 1/9 x) 1/3) (/.f64 x x))
✓0.84%
(*.f64 1/3 x)
43.48%
(*.f64 1/9 (/.f64 (*.f64 x x) (*.f64 x 1/3)))
Compiler

Compiled 95 to 69 computations (27.4% saved)

regimes39.0ms (0.3%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(/.f64 1/27 (/.f64 1/9 x))
(*.f64 (/.f64 (*.f64 x x) x) 1/3)
(-.f64 (+.f64 (*.f64 1/3 x) 1) 1)
(*.f64 1/9 (/.f64 (*.f64 x x) (*.f64 x 1/3)))
(*.f64 (/.f64 (*.f64 1/9 x) 1/3) (/.f64 x x))
(*.f64 (/.f64 (*.f64 1/9 x) x) (/.f64 x 1/3))
(*.f64 (/.f64 (*.f64 1/9 x) 1) (/.f64 x (*.f64 x 1/3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 0) (-.f64 (*.f64 1/3 x) 0))
(*.f64 (pow.f64 1/27 1/3) x)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(cbrt.f64 (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 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) (*.f64 1/45 (pow.f64 x 3)))
Outputs
(*.f64 (/.f64 (*.f64 1/9 x) 1) (/.f64 x (*.f64 x 1/3)))
Calls

2 calls:

31.0ms
x
3.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.53%1x
0.53%1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 195 to 139 computations (28.7% saved)

regimes6.0ms (0%)

Accuracy

Total -58.6b remaining (-14560.8%)

Threshold costs -58.6b (-14560.8%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(/.f64 1/27 (/.f64 1/9 x))
(*.f64 (/.f64 (*.f64 x x) x) 1/3)
(-.f64 (+.f64 (*.f64 1/3 x) 1) 1)
(*.f64 1/9 (/.f64 (*.f64 x x) (*.f64 x 1/3)))
(*.f64 (/.f64 (*.f64 1/9 x) 1/3) (/.f64 x x))
(*.f64 (/.f64 (*.f64 1/9 x) x) (/.f64 x 1/3))
Outputs
(/.f64 1/27 (/.f64 1/9 x))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.63%1x
Compiler

Compiled 52 to 35 computations (32.7% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Rules
6×*-commutative
2×1-exp
2×/-rgt-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01545
12145
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 1/9 x) 1) (/.f64 x (*.f64 x 1/3)))
(/.f64 1/27 (/.f64 1/9 x))
(*.f64 1/3 x)
Outputs
(*.f64 (/.f64 (*.f64 1/9 x) 1) (/.f64 x (*.f64 x 1/3)))
(*.f64 (*.f64 1/9 x) (/.f64 x (*.f64 x 1/3)))
(/.f64 1/27 (/.f64 1/9 x))
(*.f64 1/3 x)
(*.f64 x 1/3)
Compiler

Compiled 20 to 15 computations (25% saved)

soundness0.0ms (0%)

end20.0ms (0.1%)

Compiler

Compiled 18 to 13 computations (27.8% saved)

Profiling

Loading profile data...