Details

Time bar (total: 17.1s)

analyze4.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
75%37.5%12.5%50%0%0%0%3
87.5%43.7%6.2%50%0%0%0%4
93.8%46.8%3.1%50%0%0%0%5
96.9%48.4%1.6%50%0%0%0%6
98.4%49.2%0.8%50%0%0%0%7
99.2%49.6%0.4%50%0%0%0%8
99.6%49.8%0.2%50%0%0%0%9
99.8%49.9%0.1%50%0%0%0%10
99.9%49.9%0%50%0%0%0%11
100%49.9%0%50%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample12.5s (73.2%)

Results
10.1s4327×body2048valid
1.9s2099×body1024valid
357.0ms1031×body512valid
207.0ms799×body256valid
Bogosity

preprocess86.0ms (0.5%)

Algorithm
egg-herbie
Rules
740×associate-*r*
560×fma-def
550×associate-*r/
510×associate-/r*
334×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
11321
22021
33221
45621
59021
616421
727221
845721
982021
10153321
11268921
12335621
13344621
14348821
15350021
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify82.0ms (0.5%)

Algorithm
egg-herbie
Rules
740×associate-*r*
560×fma-def
550×associate-*r/
510×associate-/r*
334×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
11321
22021
33221
45621
59021
616421
727221
845721
982021
10153321
11268921
12335621
13344621
14348821
15350021
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
28.4b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
28.4b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 17 to 5 computations (70.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite146.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1430×associate-*r/
1328×associate-/r*
1274×associate-/l*
1042×associate-*l/
932×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
117832
2260232
Stop Event
node limit
Counts
2 → 160
Calls
Call 1
Inputs
(-.f64 x (sin.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
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simplify117.0ms (0.7%)

Algorithm
egg-herbie
Rules
962×associate-+l+
932×associate-+r+
892×+-commutative
780×associate-/l*
690×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04367158
112346916
268736892
Stop Event
node limit
Counts
184 → 262
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
x
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(*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
(*.f64 (neg.f64 (-.f64 x (sin.f64 x))) (/.f64 -1 (tan.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)) (sqrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 1))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) 1))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (/.f64 1 (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (-.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (-.f64 x (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 -1 (tan.f64 x)) (neg.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (cbrt.f64 (tan.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (tan.f64 x)) (cbrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))) (cbrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (tan.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (tan.f64 x)) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (sin.f64 x) (tan.f64 x))) (cos.f64 x))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
Outputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(-.f64 x (sin.f64 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 x 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(+.f64 x (neg.f64 (sin.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 x (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 x) (-.f64 x (sin.f64 x))) (sin.f64 x))
(+.f64 x (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 x (sin.f64 x)))
(+.f64 x (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (-.f64 x (sin.f64 x)))
(+.f64 x (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 x (sin.f64 x)))
(-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 x) (-.f64 x (sin.f64 x))) (sin.f64 x))
(+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 x (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (-.f64 x (sin.f64 x)))
(+.f64 x (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(fma.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x)))) (+.f64 x (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))
(+.f64 x (+.f64 (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (+.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x)))) (+.f64 x (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 x (sin.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 x (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (tan.f64 x)) (cbrt.f64 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (*.f64 1 (+.f64 (/.f64 x (sin.f64 x)) -1)))
(*.f64 (cos.f64 x) (*.f64 1 (+.f64 -1 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))) (cbrt.f64 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (*.f64 1 (+.f64 (/.f64 x (sin.f64 x)) -1)))
(*.f64 (cos.f64 x) (*.f64 1 (+.f64 -1 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (tan.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (-.f64 x (sin.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (tan.f64 x)) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (sin.f64 x)))))
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (tan.f64 x)) (-.f64 (fma.f64 x x (pow.f64 (sin.f64 x) 2)) (*.f64 x (sin.f64 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))))) (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
(*.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (-.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) 3) (pow.f64 x 6)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (tan.f64 x)) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) 3) (pow.f64 x 6)) (fma.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (-.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (*.f64 x x)) (pow.f64 x 4))))
(*.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (*.f64 (/.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (/.f64 x (sin.f64 x)) -1)) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (*.f64 (/.f64 (tan.f64 x) (sin.f64 x)) (+.f64 -1 (/.f64 x (sin.f64 x)))) (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (sin.f64 x) (tan.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (*.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (*.f64 (/.f64 x (tan.f64 x)) (/.f64 (tan.f64 x) (sin.f64 x))) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (*.f64 (/.f64 x (tan.f64 x)) (/.f64 (tan.f64 x) (sin.f64 x)))))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -1)
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2))
(fabs.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

eval62.0ms (0.4%)

Compiler

Compiled 5367 to 1843 computations (65.7% saved)

prune75.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New25210262
Fresh000
Picked011
Done000
Total25211263
Error
0.1b
Counts
263 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
0.7b
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 x 1/6)))
28.4b
(pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -1)
28.4b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
7.8b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
8.4b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
28.4b
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
28.4b
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
1.0b
(*.f64 x (*.f64 x 1/6))
1.0b
(*.f64 1/6 (*.f64 x x))
28.4b
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
Compiler

Compiled 230 to 165 computations (28.3% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 x 4)
0.1b
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
0.1b
(*.f64 -23/360 (pow.f64 x 4))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series10.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
1.0ms
x
@-inf
(pow.f64 x 4)
1.0ms
x
@0
(*.f64 -23/360 (pow.f64 x 4))
0.0ms
x
@inf
(pow.f64 x 4)
0.0ms
x
@inf
(*.f64 -23/360 (pow.f64 x 4))

rewrite66.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1862×add-sqr-sqrt
1828×*-un-lft-identity
1714×add-cube-cbrt
1702×add-cbrt-cube
202×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
122647
2244847
Stop Event
node limit
Counts
3 → 56
Calls
Call 1
Inputs
(*.f64 -23/360 (pow.f64 x 4))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(pow.f64 x 4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -23/360 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 529/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -23/360 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) 1) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 1/6 (*.f64 x x))) (*.f64 (pow.f64 x 8) 529/129600)) (-.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) (pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 1/6 (*.f64 x x))) (-.f64 (*.f64 (pow.f64 x 8) 529/129600) (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 4) (pow.f64 (sqrt.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 4) (pow.f64 (cbrt.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 4)))))))

simplify95.0ms (0.6%)

Algorithm
egg-herbie
Rules
904×associate--r+
844×unswap-sqr
814×+-commutative
700×*-commutative
670×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01331448
13091422
214701384
359541384
Stop Event
node limit
Counts
68 → 74
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 1)
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) 2)
(pow.f64 (cbrt.f64 (*.f64 -23/360 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 529/129600))
(log.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -23/360 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -23/360 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) 1) (*.f64 -23/360 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))))) 1)
(*.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 1)
(*.f64 1 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 1/6 (*.f64 x x))) (*.f64 (pow.f64 x 8) 529/129600)) (-.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) (pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 1/6 (*.f64 x x))) (-.f64 (*.f64 (pow.f64 x 8) 529/129600) (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4))))))
(pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 1)
(*.f64 x (pow.f64 x 3))
(*.f64 (pow.f64 x 4) 1)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 1 (pow.f64 x 4))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 8)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 x 3) x)
(*.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (sqrt.f64 x) 4) (pow.f64 (sqrt.f64 x) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 4) (pow.f64 (cbrt.f64 x) 4))
(sqrt.f64 (pow.f64 x 8))
(log.f64 (exp.f64 (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 4))))
(cbrt.f64 (pow.f64 (pow.f64 x 4) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 4)))
(exp.f64 (*.f64 4 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 4 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4)))) 1)
(*.f64 -23/360 (pow.f64 x 4))
(pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 1)
(*.f64 -23/360 (pow.f64 x 4))
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) 2)
(*.f64 -23/360 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 -23/360 (pow.f64 x 4))) 3)
(*.f64 -23/360 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 3) 1/3)
(*.f64 -23/360 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 529/129600))
(log.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4)))))
(*.f64 -23/360 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 3))
(*.f64 -23/360 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -23/360 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -23/360 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 -23/360 (pow.f64 x 4))) 1))
(*.f64 -23/360 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(+.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) 1) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))))) 1)
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(*.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 1)
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(*.f64 1 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(*.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(*.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 2))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 1/6 (*.f64 x x))) (*.f64 (pow.f64 x 8) 529/129600)) (-.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 529/129600)) (+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 23/360 (pow.f64 x 4))))
(/.f64 (fma.f64 1/36 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -529/129600)) (fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) 23/360)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (pow.f64 x 8) -529/129600)) (fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) 23/360)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) (pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 1/6 (*.f64 x x))) (-.f64 (*.f64 (pow.f64 x 8) 529/129600) (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4))))))
(/.f64 (+.f64 (*.f64 -12167/46656000 (pow.f64 (pow.f64 x 4) 3)) (*.f64 1/216 (pow.f64 (*.f64 x x) 3))) (-.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 529/129600)) (*.f64 1/6 (*.f64 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))))))
(/.f64 (fma.f64 -12167/46656000 (pow.f64 (pow.f64 x 4) 3) (*.f64 1/216 (pow.f64 (*.f64 x x) 3))) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 (pow.f64 x 8) 529/129600 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 x x) 3) -23/360)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -12167/46656000 (*.f64 1/216 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 529/129600 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 (*.f64 x x) 23/2160) 1/36))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -12167/46656000 (*.f64 1/216 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 529/129600 (*.f64 (pow.f64 x 4) (+.f64 1/36 (*.f64 (*.f64 x x) 23/2160)))))
(pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 1)
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 2)
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 3)
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 2))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(log.f64 (exp.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))))))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4))) 3))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(exp.f64 (log.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))) 1))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 1/6 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 1)
(pow.f64 x 4)
(*.f64 x (pow.f64 x 3))
(pow.f64 x 4)
(*.f64 (pow.f64 x 4) 1)
(pow.f64 x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow.f64 x 4)
(*.f64 1 (pow.f64 x 4))
(pow.f64 x 4)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 8)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 8))
(*.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 8)))
(*.f64 (pow.f64 x 3) x)
(pow.f64 x 4)
(*.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 8))
(*.f64 (pow.f64 (sqrt.f64 x) 4) (pow.f64 (sqrt.f64 x) 4))
(pow.f64 x 4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 4) (pow.f64 (cbrt.f64 x) 4))
(pow.f64 x 4)
(sqrt.f64 (pow.f64 x 8))
(pow.f64 x 4)
(log.f64 (exp.f64 (pow.f64 x 4)))
(pow.f64 x 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 4))))
(pow.f64 x 4)
(cbrt.f64 (pow.f64 (pow.f64 x 4) 3))
(pow.f64 x 4)
(expm1.f64 (log1p.f64 (pow.f64 x 4)))
(pow.f64 x 4)
(exp.f64 (*.f64 4 (log.f64 x)))
(pow.f64 x 4)
(exp.f64 (*.f64 (*.f64 4 (log.f64 x)) 1))
(pow.f64 x 4)
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
(pow.f64 x 4)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/6 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 1/6 (*.f64 x x))
0.0ms
x
@0
(*.f64 1/6 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 1/6 (*.f64 x x))

rewrite56.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1078×add-sqr-sqrt
1058×*-un-lft-identity
1006×pow1
988×add-cube-cbrt
980×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112213
2140913
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify38.0ms (0.2%)

Algorithm
egg-herbie
Rules
1470×distribute-rgt-in
1446×distribute-lft-in
1164×log-prod
746×associate-*r*
702×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038299
192299
2347299
31900299
Stop Event
node limit
Counts
23 → 14
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/6 (pow.f64 x 3))
7.5b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
Compiler

Compiled 22 to 15 computations (31.8% saved)

series6.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
1.0ms
x
@inf
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
1.0ms
x
@-inf
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
0.0ms
x
@-inf
(*.f64 1/6 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 1/6 (pow.f64 x 3))

rewrite107.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1420×associate-/r*
1116×associate-/l*
954×associate-*r/
912×*-commutative
660×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
121736
2268236
Stop Event
node limit
Counts
2 → 88
Calls
Call 1
Inputs
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 1/6 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))) (sqrt.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) (pow.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) 2) (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (/.f64 x (/.f64 (tan.f64 x) (cbrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) -1/6) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (/.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (/.f64 (pow.f64 x 3/2) (/.f64 1 (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (tan.f64 x) (cbrt.f64 1/6))) (*.f64 (cbrt.f64 1/36) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (tan.f64 x) (cbrt.f64 1/6))) (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 (tan.f64 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (pow.f64 x 3) (/.f64 (cbrt.f64 (tan.f64 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) 6) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 (tan.f64 x)) 1/6)) (/.f64 1 (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (/.f64 (cbrt.f64 (tan.f64 x)) 1/6)) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (tan.f64 x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x))) (/.f64 1/6 (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (cbrt.f64 (tan.f64 x))) (/.f64 1/6 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (*.f64 (*.f64 1/6 (pow.f64 x 3)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (tan.f64 x)) (/.f64 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 x 3))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (tan.f64 x)) (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (sqrt.f64 (tan.f64 x))) (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) 1) (/.f64 1/6 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 1/6 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3/2) (/.f64 1 (sqrt.f64 1/6))) (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (pow.f64 x 3/2) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 1/6))) (/.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) 1) (/.f64 x (/.f64 (tan.f64 x) (cbrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (sqrt.f64 (tan.f64 x))) (/.f64 x (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (sin.f64 x)) (*.f64 (pow.f64 x 3) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 x 3) 6) 1) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (tan.f64 x)) (*.f64 x (cbrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (tan.f64 x) 1/6)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (/.f64 (tan.f64 x) (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3/2))) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (/.f64 (tan.f64 x) x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (neg.f64 (tan.f64 x))) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (tan.f64 x) (*.f64 (cbrt.f64 1/36) (*.f64 x x)))) (*.f64 x (cbrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/6) (neg.f64 (sin.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 x 3) 6) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 (tan.f64 x)) 1/6)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) (/.f64 6 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (pow.f64 x 3) 6) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/6) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x 3) 6) (neg.f64 (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (/.f64 (pow.f64 x 3) 6) (neg.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (tan.f64 x) 2) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))))))

simplify102.0ms (0.6%)

Algorithm
egg-herbie
Rules
1280×associate-/r/
778×distribute-lft-in
774×distribute-rgt-in
484×associate-*r*
468×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02373220
16433028
230353018
Stop Event
node limit
Counts
100 → 131
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/2835 (pow.f64 x 8)) (*.f64 -1/270 (pow.f64 x 6)))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)))) 1)
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(*.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)) 1)
(*.f64 1 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))) (sqrt.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))
(*.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) (pow.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) 2))
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (pow.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) 2) (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))))
(*.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (/.f64 x (/.f64 (tan.f64 x) (cbrt.f64 1/6))))
(*.f64 (/.f64 1 (tan.f64 x)) (*.f64 1/6 (pow.f64 x 3)))
(*.f64 (*.f64 (pow.f64 x 3) -1/6) (/.f64 -1 (tan.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)))
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (/.f64 (pow.f64 x 3/2) (/.f64 1 (sqrt.f64 1/6))))
(*.f64 (/.f64 x (/.f64 (tan.f64 x) (cbrt.f64 1/6))) (*.f64 (cbrt.f64 1/36) (*.f64 x x)))
(*.f64 (/.f64 x (/.f64 (tan.f64 x) (cbrt.f64 1/6))) (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) 1))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 (tan.f64 x)) 1/6)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (pow.f64 x 3) (/.f64 (cbrt.f64 (tan.f64 x)) 1/6)))
(*.f64 (/.f64 (pow.f64 x 3) 6) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 (tan.f64 x)) 1/6)) (/.f64 1 (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 x 3) (/.f64 (cbrt.f64 (tan.f64 x)) 1/6)) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 x 3) (tan.f64 x)) 1/6)
(*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x))) (/.f64 1/6 (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 x 3) (cbrt.f64 (tan.f64 x))) (/.f64 1/6 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (*.f64 1/6 (pow.f64 x 3)) (cos.f64 x)))
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
(*.f64 (/.f64 1/6 (tan.f64 x)) (/.f64 (pow.f64 x 3) 1))
(*.f64 (/.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 x 3))) (cos.f64 x))
(*.f64 (/.f64 -1 (tan.f64 x)) (*.f64 (pow.f64 x 3) -1/6))
(*.f64 (/.f64 1/6 (sqrt.f64 (tan.f64 x))) (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 x 3) 1) (/.f64 1/6 (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 1/6 (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1/6 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 1 (sqrt.f64 1/6))) (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (/.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (pow.f64 x 3/2) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 1/6))))
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 1/6))) (/.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) 1) (/.f64 x (/.f64 (tan.f64 x) (cbrt.f64 1/6))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (sqrt.f64 (tan.f64 x))) (/.f64 x (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 1/6))))
(*.f64 (/.f64 x (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))))
(*.f64 (/.f64 1/6 (sin.f64 x)) (*.f64 (pow.f64 x 3) (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3) 6) 1) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (tan.f64 x)) (*.f64 x (cbrt.f64 1/6)))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) 1/6)) (pow.f64 x 3))
(*.f64 (/.f64 1/6 (/.f64 (tan.f64 x) (*.f64 x x))) x)
(*.f64 (/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3/2))) (pow.f64 x 3/2))
(*.f64 (/.f64 1/6 (/.f64 (tan.f64 x) x)) (*.f64 x x))
(*.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 1/6 (neg.f64 (tan.f64 x))) (neg.f64 (pow.f64 x 3)))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (*.f64 (cbrt.f64 1/36) (*.f64 x x)))) (*.f64 x (cbrt.f64 1/6)))
(*.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/6) (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3) 6) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 (tan.f64 x)) 1/6)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))) 2)
(pow.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (tan.f64 x) (/.f64 6 (pow.f64 x 3))) -1)
(neg.f64 (/.f64 (/.f64 (pow.f64 x 3) 6) (neg.f64 (tan.f64 x))))
(neg.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/6) (tan.f64 x)))
(neg.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x 3) 6) (neg.f64 (tan.f64 x))) 1))
(neg.f64 (*.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 -1 (tan.f64 x))))
(neg.f64 (*.f64 1 (/.f64 (/.f64 (pow.f64 x 3) 6) (neg.f64 (tan.f64 x)))))
(sqrt.f64 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (tan.f64 x) 2) 1/36)))
(log.f64 (exp.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) 1/3)
(neg.f64 (*.f64 (pow.f64 x 3) -1/6))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 -1/270 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/2835 (pow.f64 x 8)) (*.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 -1/2835 (pow.f64 x 8) (*.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 -1/270 (pow.f64 x 6) (*.f64 -1/2835 (pow.f64 x 8)))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
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(*.f64 (*.f64 (/.f64 x (cbrt.f64 (tan.f64 x))) (cbrt.f64 1/6)) (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/36)) (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/36)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6)))
(*.f64 (/.f64 1/6 (sin.f64 x)) (*.f64 (pow.f64 x 3) (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3) 6) 1) (/.f64 1 (tan.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (tan.f64 x)) (*.f64 x (cbrt.f64 1/6)))
(*.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (*.f64 (/.f64 x (tan.f64 x)) (cbrt.f64 1/6)))
(*.f64 (cbrt.f64 1/6) (/.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/36)) (tan.f64 x)))
(*.f64 (cbrt.f64 1/6) (*.f64 (/.f64 (pow.f64 x 3) (tan.f64 x)) (cbrt.f64 1/36)))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) 1/6)) (pow.f64 x 3))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(*.f64 (/.f64 1/6 (/.f64 (tan.f64 x) (*.f64 x x))) x)
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(*.f64 (/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3/2))) (pow.f64 x 3/2))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(*.f64 (/.f64 1/6 (/.f64 (tan.f64 x) x)) (*.f64 x x))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(*.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 (/.f64 1/6 (neg.f64 (tan.f64 x))) (neg.f64 (pow.f64 x 3)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (*.f64 (cbrt.f64 1/36) (*.f64 x x)))) (*.f64 x (cbrt.f64 1/6)))
(*.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (*.f64 (/.f64 x (tan.f64 x)) (cbrt.f64 1/6)))
(*.f64 (cbrt.f64 1/6) (/.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/36)) (tan.f64 x)))
(*.f64 (cbrt.f64 1/6) (*.f64 (/.f64 (pow.f64 x 3) (tan.f64 x)) (cbrt.f64 1/36)))
(*.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/6) (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3) 6) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 (/.f64 (pow.f64 x 3) 6) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 (tan.f64 x)) 1/6)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x))) 1/6) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3) (*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1/6) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 1/6 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 x 3)))) (cbrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (/.f64 (pow.f64 x 3) (cbrt.f64 (sin.f64 x))) (/.f64 1/6 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)) 1)
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))) 2)
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(pow.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) 3)
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(pow.f64 (pow.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)) 3) 1/3)
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (/.f64 6 (pow.f64 x 3))) -1)
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(neg.f64 (/.f64 (/.f64 (pow.f64 x 3) 6) (neg.f64 (tan.f64 x))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(neg.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/6) (tan.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(neg.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x 3) 6) (neg.f64 (tan.f64 x))) 1))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(neg.f64 (*.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 -1 (tan.f64 x))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(neg.f64 (*.f64 1 (/.f64 (/.f64 (pow.f64 x 3) 6) (neg.f64 (tan.f64 x)))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(sqrt.f64 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (tan.f64 x) 2) 1/36)))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2)) 1/36))
(sqrt.f64 (pow.f64 (/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3))) 2))
(fabs.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x))))
(log.f64 (exp.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x)) 3))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(exp.f64 (log.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) 2)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 1/6)) 3)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) 1/3)
(*.f64 1/6 (pow.f64 x 3))
(neg.f64 (*.f64 (pow.f64 x 3) -1/6))
(*.f64 1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3))
(*.f64 1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 x 4)
0.1b
(*.f64 x (*.f64 x 1/6))
0.3b
(*.f64 x 1/6)
Compiler

Compiled 26 to 18 computations (30.8% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x 1/6)
0.0ms
x
@-inf
(*.f64 x 1/6)
0.0ms
x
@inf
(*.f64 x 1/6)
0.0ms
x
@0
(*.f64 x (*.f64 x 1/6))
0.0ms
x
@inf
(*.f64 x (*.f64 x 1/6))

rewrite57.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1108×add-sqr-sqrt
1090×*-un-lft-identity
1034×pow1
1016×add-cube-cbrt
1002×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
112120
2138320
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 x 1/6)
(*.f64 x (*.f64 x 1/6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/6))))))))

simplify43.0ms (0.2%)

Algorithm
egg-herbie
Rules
1452×distribute-lft-in
1444×distribute-rgt-in
1308×associate-+r+
1228×associate-+l+
654×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056460
1138460
2584460
32212460
Stop Event
node limit
Counts
46 → 25
Calls
Call 1
Inputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x 1/6)) 1)
(pow.f64 (*.f64 x 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/6) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x 1/6) 2))
(log.f64 (pow.f64 (exp.f64 x) 1/6))
(cbrt.f64 (pow.f64 (*.f64 x 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(exp.f64 (log.f64 (*.f64 x 1/6)))
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/6))) 1)
(pow.f64 (*.f64 x (*.f64 x 1/6)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/6))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/6))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/6))))
Outputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x 1/6)) 1)
(*.f64 1/6 x)
(pow.f64 (*.f64 x 1/6) 1)
(*.f64 1/6 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(*.f64 1/6 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(*.f64 1/6 x)
(pow.f64 (pow.f64 (*.f64 x 1/6) 3) 1/3)
(*.f64 1/6 x)
(sqrt.f64 (pow.f64 (*.f64 x 1/6) 2))
(*.f64 1/6 x)
(log.f64 (pow.f64 (exp.f64 x) 1/6))
(*.f64 1/6 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/6) 3))
(*.f64 1/6 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(*.f64 1/6 x)
(exp.f64 (log.f64 (*.f64 x 1/6)))
(*.f64 1/6 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(*.f64 1/6 x)
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/6))) 1)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x 1/6)) 1)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) 3)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3) 1/3)
(*.f64 1/6 (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2))
(*.f64 1/6 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))
(*.f64 1/6 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3))
(*.f64 1/6 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/6))))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/6))))
(*.f64 1/6 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/6))))
(*.f64 1/6 (*.f64 x x))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 6 computations (76% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
1.0ms
x
@-inf
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
0.0ms
x
@0
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
0.0ms
x
@inf
(/.f64 (sin.f64 x) (tan.f64 x))
0.0ms
x
@-inf
(/.f64 (sin.f64 x) (tan.f64 x))

rewrite103.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1656×associate-/l*
872×associate-/r/
654×distribute-rgt-in
624×distribute-lft-in
430×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
120536
2316536
Stop Event
node limit
Counts
2 → 211
Calls
Call 1
Inputs
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (sin.f64 x) (tan.f64 x))
Outputs
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simplify111.0ms (0.6%)

Algorithm
egg-herbie
Rules
860×associate-*r*
726×associate-*l*
706×associate-/l*
698×*-commutative
638×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059211261
1184110587
Stop Event
node limit
Counts
235 → 327
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(+.f64 (/.f64 x (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(+.f64 (/.f64 x (tan.f64 x)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) 1))
(+.f64 (/.f64 x (tan.f64 x)) (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (sin.f64 x) (/.f64 (sin.f64 x) (tan.f64 x)))))
(+.f64 (/.f64 x (tan.f64 x)) (+.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) 1) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (sin.f64 x) (/.f64 (sin.f64 x) (tan.f64 x)))))
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(+.f64 (/.f64 x (tan.f64 x)) (+.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) 1) (fma.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) 1 (/.f64 (sin.f64 x) (tan.f64 x)))))
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(+.f64 (/.f64 x (tan.f64 x)) (+.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (/.f64 (sin.f64 x) (tan.f64 x)))))
(+.f64 (/.f64 x (tan.f64 x)) (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) 2) (/.f64 (sin.f64 x) (tan.f64 x)))))
(+.f64 (/.f64 x (tan.f64 x)) (+.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) 2) (/.f64 (sin.f64 x) (tan.f64 x)))))
(+.f64 (/.f64 x (tan.f64 x)) (*.f64 1 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) 1)))
(+.f64 (/.f64 x (tan.f64 x)) (*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) 1) 1))
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(+.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) 2) (/.f64 (sin.f64 x) (tan.f64 x))))
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(+.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (/.f64 (sin.f64 x) (tan.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (tan.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (/.f64 (sin.f64 x) (tan.f64 x)))))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 2))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 2)))) (/.f64 (*.f64 (/.f64 1 (tan.f64 x)) (+.f64 x (sin.f64 x))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (cbrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 x (sin.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 3))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (+.f64 x (sin.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 3)))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (tan.f64 x)) (tan.f64 x))
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (tan.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))) (*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 2) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 2))) (*.f64 (*.f64 (/.f64 1 (tan.f64 x)) (+.f64 x (sin.f64 x))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 2) (pow.f64 (/.f64 x (tan.f64 x)) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 x (tan.f64 x)) 3)) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 3) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (+.f64 x (sin.f64 x))))) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) 3)) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (/.f64 x (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (tan.f64 x) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (tan.f64 x)) 3) (pow.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 3)) (*.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (*.f64 (*.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) 3) (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 2) 3)) (*.f64 (*.f64 (/.f64 1 (tan.f64 x)) (+.f64 x (sin.f64 x))) (+.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 2) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 2) (pow.f64 (/.f64 x (tan.f64 x)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) 3) (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (+.f64 x (sin.f64 x))))) (+.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 x (tan.f64 x)) 3)) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 3) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 3))))))
(/.f64 (-.f64 0 (-.f64 x (sin.f64 x))) (neg.f64 (tan.f64 x)))
(/.f64 (-.f64 (*.f64 x (/.f64 (tan.f64 x) (sin.f64 x))) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 x (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (tan.f64 x) (*.f64 (/.f64 (tan.f64 x) x) (sin.f64 x))) (*.f64 (/.f64 (tan.f64 x) x) (tan.f64 x)))
(/.f64 (-.f64 (/.f64 (tan.f64 x) (sin.f64 x)) (*.f64 (/.f64 (tan.f64 x) x) 1)) (*.f64 (/.f64 (tan.f64 x) x) (/.f64 (tan.f64 x) (sin.f64 x))))
(/.f64 (-.f64 (neg.f64 (tan.f64 x)) (*.f64 (/.f64 (tan.f64 x) x) (neg.f64 (sin.f64 x)))) (*.f64 (/.f64 (tan.f64 x) x) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 (tan.f64 x) (sin.f64 x))) (*.f64 (neg.f64 (tan.f64 x)) 1)) (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 2))) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (+.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (+.f64 x (sin.f64 x)))))))
(/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (neg.f64 (tan.f64 x)))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (neg.f64 (pow.f64 (tan.f64 x) 2)))
(pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))))
(exp.f64 (log.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))))
(fma.f64 x (/.f64 1 (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 1 (/.f64 x (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (/.f64 x (tan.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) 2) (cbrt.f64 (/.f64 x (tan.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (tan.f64 x)))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 1)
(*.f64 1 (/.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (tan.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (tan.f64 x))))
(*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 1 (neg.f64 (tan.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (tan.f64 x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (tan.f64 x))) 3)
(pow.f64 (/.f64 (tan.f64 x) (sin.f64 x)) -1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
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(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (tan.f64 x))) 1))
(/.f64 (sin.f64 x) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (sin.f64 x) (tan.f64 x))

eval250.0ms (1.5%)

Compiler

Compiled 12051 to 4775 computations (60.4% saved)

prune169.0ms (1%)

Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New57520595
Fresh325
Picked101
Done325
Total58224606
Error
0.0b
Counts
606 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
34.3b
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))
0.7b
(fma.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x 1/6)))
28.4b
(pow.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))) 3) 1/3)
1.5b
(pow.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) 3)
1.1b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
28.4b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))) 3)
60.4b
(/.f64 (-.f64 (*.f64 (neg.f64 x) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
28.4b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
8.3b
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))
28.4b
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
28.4b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
29.1b
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
0.7b
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4)))
8.4b
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
34.4b
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)))
60.4b
(*.f64 (/.f64 (-.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 x (sin.f64 x)))) (pow.f64 (tan.f64 x) 2)) x)
34.4b
(*.f64 (/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3/2))) (pow.f64 x 3/2))
1.0b
(*.f64 (/.f64 1/6 (/.f64 (tan.f64 x) (*.f64 x x))) x)
0.9b
(*.f64 (/.f64 1/6 (/.f64 (tan.f64 x) x)) (*.f64 x x))
1.0b
(*.f64 x (*.f64 x 1/6))
1.0b
(*.f64 1/6 (*.f64 x x))
12.8b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
28.4b
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
18.6b
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
Compiler

Compiled 534 to 371 computations (30.5% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 x 4)
0.1b
(*.f64 1/6 (*.f64 x x))
0.1b
(*.f64 -23/360 (pow.f64 x 4))
Compiler

Compiled 32 to 20 computations (37.5% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 x 1/6))
0.3b
(*.f64 x 1/6)
Compiler

Compiled 11 to 7 computations (36.4% saved)

localize45.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 x 4)
0.1b
(*.f64 1/36 (pow.f64 x 4))
11.9b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 1/36 (pow.f64 x 4))
0.0ms
x
@inf
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
0.0ms
x
@0
(*.f64 1/36 (pow.f64 x 4))
0.0ms
x
@0
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
0.0ms
x
@-inf
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))

rewrite56.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1520×add-sqr-sqrt
1496×*-un-lft-identity
1406×add-cube-cbrt
1396×add-cbrt-cube
1378×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
118526
2203126
Stop Event
node limit
Counts
2 → 39
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(*.f64 1/36 (pow.f64 x 4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 1/36 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/36 1/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/36 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 1/1296) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 1/1296))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/36 (pow.f64 x 4))))))))

simplify76.0ms (0.4%)

Algorithm
egg-herbie
Rules
1356×associate-+r+
1268×associate-+l+
1268×distribute-lft-in
1248×distribute-rgt-in
902×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090887
1202809
2658731
32591731
Stop Event
node limit
Counts
51 → 43
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))) 1)
(*.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1)
(*.f64 1 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(*.f64 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(*.f64 (*.f64 x x) 1/6)
(*.f64 (*.f64 x x) (pow.f64 1/36 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(*.f64 (pow.f64 1/36 1/2) (*.f64 x x))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1/2))
(pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(-.f64 (+.f64 1 (*.f64 1/36 (pow.f64 x 4))) 1)
(pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 8) 1/1296) 1/2)
(pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/1296))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/36))
(cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/36 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/36 (pow.f64 x 4))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 1 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(*.f64 1/6 (*.f64 x x))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 x x) 1/6)
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 x x) (pow.f64 1/36 1/2))
(*.f64 1/6 (*.f64 x x))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(*.f64 (pow.f64 1/36 1/2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1/2)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))) 3)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3/2) 1/3)
(*.f64 1/6 (*.f64 x x))
(fabs.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(*.f64 1/6 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(*.f64 1/6 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3/2))
(*.f64 1/6 (*.f64 x x))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))) 1/2))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))) 1))
(*.f64 1/6 (*.f64 x x))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 1/36 (pow.f64 x 4))) 1)
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1)
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 2)
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 3)
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 8) 1/1296) 1/2)
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/1296))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/36))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 1/36 (pow.f64 x 4))))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))) 1))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 1/36 (pow.f64 x 4))))
(+.f64 1 (-.f64 (*.f64 1/36 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) 0)
(*.f64 1/36 (pow.f64 x 4))

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
0.0b
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
2.0b
(-.f64 x (sin.f64 x))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite118.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1532×associate-*l/
1376×associate-/r*
1050×*-commutative
972×associate-/l*
642×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01048
121642
2294842
Stop Event
node limit
Counts
2 → 152
Calls
Call 1
Inputs
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
Outputs
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(-.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (-.f64 x (sin.f64 x))) (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))))))

simplify113.0ms (0.7%)

Algorithm
egg-herbie
Rules
1326×associate-/r/
654×distribute-lft-neg-in
552×associate-*r*
544×+-commutative
526×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04306528
112626360
251526312
Stop Event
node limit
Counts
176 → 253
Calls
Call 1
Inputs
(/.f64 6 (pow.f64 x 2))
(+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 23/10 (+.f64 (*.f64 1271/1400 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 23/10 (+.f64 (*.f64 46187/126000 (pow.f64 x 4)) (+.f64 (*.f64 1271/1400 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) x) (*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (sin.f64 x)) (*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) x))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 x x)) (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 x (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) 1)
(*.f64 (tan.f64 x) (/.f64 1 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 1)
(*.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) 2) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) 2) (cbrt.f64 (neg.f64 (tan.f64 x)))) (cbrt.f64 (neg.f64 (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -1)
(pow.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 1)
(pow.f64 (sqrt.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))
(exp.f64 (log.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))
(exp.f64 (-.f64 (log.f64 (-.f64 x (sin.f64 x))) (log.f64 (tan.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))
Outputs
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 23/10 (/.f64 6 (*.f64 x x)))
(+.f64 23/10 (/.f64 (/.f64 6 x) x))
(+.f64 23/10 (+.f64 (*.f64 1271/1400 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x))))
(+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 (/.f64 6 x) x)))
(+.f64 23/10 (+.f64 (*.f64 46187/126000 (pow.f64 x 4)) (+.f64 (*.f64 1271/1400 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 23/10 (fma.f64 46187/126000 (pow.f64 x 4) (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x)))))
(+.f64 23/10 (fma.f64 46187/126000 (pow.f64 x 4) (fma.f64 1271/1400 (*.f64 x x) (/.f64 (/.f64 6 x) x))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (+.f64 (/.f64 -1 x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (cos.f64 x)) (pow.f64 x 4))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x))) (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3))))) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (+.f64 (/.f64 -1 x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (cos.f64 x)) (pow.f64 x 4))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x))) (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3))))) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x)) (cos.f64 x))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) x) (*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (sin.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (+.f64 x (sin.f64 x)))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (sin.f64 x)) (*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) x))
(/.f64 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (+.f64 x (sin.f64 x)))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 x x)) (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 x x)))
(*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (*.f64 x (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) 1)
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (tan.f64 x) (/.f64 1 (-.f64 x (sin.f64 x))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 1)
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (/.f64 1 (-.f64 x (sin.f64 x)))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (/.f64 1 (-.f64 x (sin.f64 x)))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (tan.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (+.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (tan.f64 x))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(*.f64 -1 (/.f64 (tan.f64 x) (neg.f64 (-.f64 x (sin.f64 x)))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (/.f64 -1 (-.f64 x (sin.f64 x))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (/.f64 1 (-.f64 x (sin.f64 x)))) (sqrt.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (/.f64 1 (-.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 x (sin.f64 x)))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 x (sin.f64 x)))))
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(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 3))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(exp.f64 (log.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(exp.f64 (-.f64 (log.f64 (-.f64 x (sin.f64 x))) (log.f64 (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))
0.1b
(sqrt.f64 (*.f64 x 1/6))
0.2b
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
0.3b
(*.f64 x 1/6)
Compiler

Compiled 43 to 33 computations (23.3% saved)

series5.0ms (0%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
1.0ms
x
@-inf
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
1.0ms
x
@0
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))
0.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)

rewrite87.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1564×add-sqr-sqrt
1538×*-un-lft-identity
1436×add-cube-cbrt
1420×add-cbrt-cube
1404×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
120531
2202731
Stop Event
node limit
Counts
3 → 62
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(sqrt.f64 (*.f64 x 1/6))
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (sqrt.f64 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/6)) (sqrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) (sqrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1/4) (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1/4) (sqrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/6) (sqrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))) (sqrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 2) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x 1/6)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1/4)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x 1/6)) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/6) 1/4) (pow.f64 (*.f64 x 1/6) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/6)) (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))) (cbrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/6) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/6) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/6) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x 1/6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))))))))

simplify111.0ms (0.6%)

Algorithm
egg-herbie
Rules
756×*-commutative
752×log-prod
612×associate-/r*
562×associate-/l*
448×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01421594
13151072
21217790
33360790
47820790
Stop Event
node limit
Counts
74 → 75
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1/6) 2) (pow.f64 x 2)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1/6) 2) (pow.f64 x 2)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1/6) 2) (pow.f64 x 2)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1/6) 2) (pow.f64 x 2)))
(-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 1)
(*.f64 x 1/6)
(*.f64 x (pow.f64 (sqrt.f64 1/6) 2))
(*.f64 1/6 x)
(*.f64 (sqrt.f64 (*.f64 x 1/6)) (sqrt.f64 (*.f64 x 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1)
(*.f64 1 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))
(*.f64 (sqrt.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) (sqrt.f64 1/6))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1/4) (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1/4) (sqrt.f64 (*.f64 x 1/6))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/6))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/6) (sqrt.f64 (*.f64 x 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))) (sqrt.f64 (*.f64 x 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 2) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/6))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x 1/6)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1/4)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1/4))
(*.f64 (*.f64 1/6 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x 1/6)) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))))
(sqrt.f64 (*.f64 1/36 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/6) x))
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))
(exp.f64 (log.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x 1/6))) 1)
(*.f64 (sqrt.f64 (*.f64 x 1/6)) 1)
(*.f64 1 (sqrt.f64 (*.f64 x 1/6)))
(*.f64 (sqrt.f64 1/6) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x 1/6) 1/4) (pow.f64 (*.f64 x 1/6) 1/4))
(*.f64 (sqrt.f64 x) (sqrt.f64 1/6))
(*.f64 (cbrt.f64 (*.f64 x 1/6)) (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))) (cbrt.f64 (*.f64 x 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x 1/6))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 1/2))
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 1)
(pow.f64 (*.f64 x 1/6) 1/2)
(pow.f64 (pow.f64 (*.f64 x 1/6) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))) 3)
(pow.f64 (pow.f64 (*.f64 x 1/6) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 x 1/6)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x 1/6))))
(cbrt.f64 (pow.f64 (*.f64 x 1/6) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x 1/6))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x 1/6))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/6))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x 1/6))))
(-.f64 (+.f64 1 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) 1)
(pow.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))))
Outputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1/6) 2) (pow.f64 x 2)))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1/6) 2) (pow.f64 x 2)))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1/6) 2) (pow.f64 x 2)))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1/6) 2) (pow.f64 x 2)))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 1)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 x 1/6)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 x (pow.f64 (sqrt.f64 1/6) 2))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 1/6 x)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 (sqrt.f64 (*.f64 x 1/6)) (sqrt.f64 (*.f64 x 1/6)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 1 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 (sqrt.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) (sqrt.f64 1/6))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1/4) (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1/4) (sqrt.f64 (*.f64 x 1/6))))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/6))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/6) (sqrt.f64 (*.f64 x 1/6))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/6) (sqrt.f64 (*.f64 1/6 x))))
(*.f64 (sqrt.f64 1/6) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/6 x))))
(*.f64 (sqrt.f64 (*.f64 1/6 x)) (*.f64 (sqrt.f64 1/6) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 2))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))) (sqrt.f64 (*.f64 x 1/6))))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 2) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/6))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 x 1/6)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1/4)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 1/4))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 (*.f64 1/6 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 x 1/6)) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(sqrt.f64 (*.f64 1/36 (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(log.f64 (pow.f64 (exp.f64 1/6) x))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) 3))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(expm1.f64 (log1p.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(exp.f64 (log.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 1))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(log1p.f64 (expm1.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x 1/6))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(*.f64 (sqrt.f64 (*.f64 x 1/6)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(*.f64 1 (sqrt.f64 (*.f64 x 1/6)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(*.f64 (sqrt.f64 1/6) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x 1/6) 1/4) (pow.f64 (*.f64 x 1/6) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 1/6))
(*.f64 (sqrt.f64 1/6) (sqrt.f64 x))
(*.f64 (cbrt.f64 (*.f64 x 1/6)) (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))) (cbrt.f64 (*.f64 x 1/6)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x 1/6))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x 1/6)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(pow.f64 (*.f64 x 1/6) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(pow.f64 (pow.f64 (*.f64 x 1/6) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/6))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(pow.f64 (pow.f64 (*.f64 x 1/6) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(fabs.f64 (sqrt.f64 (*.f64 x 1/6)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x 1/6))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(cbrt.f64 (pow.f64 (*.f64 x 1/6) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x 1/6))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x 1/6))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/6))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x 1/6))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/6 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/6 x)) 0)
(sqrt.f64 (*.f64 1/6 x))
(-.f64 (+.f64 1 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) 1)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(pow.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 1)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) 2)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) 3)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 3) 1/3)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)) 3))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(exp.f64 (log.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))) 1))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))

eval230.0ms (1.3%)

Compiler

Compiled 11804 to 5645 computations (52.2% saved)

prune171.0ms (1%)

Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New6338641
Fresh9817
Picked101
Done156
Total64421665
Error
0.0b
Counts
665 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
28.4b
(pow.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))) 3) 1/3)
1.1b
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
28.4b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))) 3)
60.4b
(/.f64 (-.f64 (*.f64 (neg.f64 x) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
28.4b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
8.3b
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))
1.3b
(/.f64 1 (/.f64 (/.f64 6 x) x))
28.4b
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
1.3b
(/.f64 1 (/.f64 6 (*.f64 x x)))
1.0b
(/.f64 1 (+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 (/.f64 6 x) x))))
1.1b
(/.f64 1 (+.f64 23/10 (/.f64 (/.f64 6 x) x)))
28.4b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
0.7b
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))))
34.4b
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)))
60.4b
(*.f64 (/.f64 (-.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 x (sin.f64 x)))) (pow.f64 (tan.f64 x) 2)) x)
34.4b
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))
1.0b
(*.f64 x (*.f64 x 1/6))
1.0b
(*.f64 1/6 (*.f64 x x))
12.8b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
28.4b
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
18.6b
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3))
Compiler

Compiled 431 to 294 computations (31.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/6 (*.f64 x x))
0.1b
(*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))
0.2b
(*.f64 (*.f64 x x) (*.f64 x x))
Compiler

Compiled 43 to 14 computations (67.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 (*.f64 x x) (*.f64 x x))
0.0ms
x
@0
(*.f64 (*.f64 x x) (*.f64 x x))
0.0ms
x
@inf
(*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))
0.0ms
x
@0
(*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))
0.0ms
x
@-inf
(*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))

rewrite74.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1246×add-sqr-sqrt
1224×*-un-lft-identity
1144×add-cube-cbrt
1134×add-cbrt-cube
1124×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0732
114420
2172420
Stop Event
node limit
Counts
2 → 23
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 529/129600 (pow.f64 (*.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -23/360) (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))))))))

simplify49.0ms (0.3%)

Algorithm
egg-herbie
Rules
1820×distribute-rgt-in
1772×distribute-lft-in
1132×log-prod
1014×unswap-sqr
324×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057467
1143467
2711467
32690467
Stop Event
node limit
Counts
47 → 25
Calls
Call 1
Inputs
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (*.f64 x x))) 1)
(pow.f64 x 4)
(pow.f64 (*.f64 x x) 2)
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x x) 4))
(log.f64 (exp.f64 (*.f64 (*.f64 x x) (*.f64 x x))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))) 1)
(pow.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))) 1)
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) 2)
(pow.f64 (cbrt.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))) 3) 1/3)
(sqrt.f64 (*.f64 529/129600 (pow.f64 (*.f64 x x) 4)))
(log.f64 (pow.f64 (exp.f64 -23/360) (*.f64 (*.f64 x x) (*.f64 x x))))
(cbrt.f64 (pow.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))))
(exp.f64 (log.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))))
(log1p.f64 (expm1.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))))
Outputs
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (*.f64 x x))) 1)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 (*.f64 x x) 2)
(pow.f64 x 4)
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1)
(pow.f64 x 4)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) 3)
(pow.f64 x 4)
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 3) 1/3)
(pow.f64 x 4)
(sqrt.f64 (pow.f64 (*.f64 x x) 4))
(pow.f64 x 4)
(log.f64 (exp.f64 (*.f64 (*.f64 x x) (*.f64 x x))))
(pow.f64 x 4)
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 3))
(pow.f64 x 4)
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x x))))
(pow.f64 x 4)
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 x x))))
(pow.f64 x 4)
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (*.f64 x x))))
(pow.f64 x 4)
(-.f64 (+.f64 1 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))) 1)
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(pow.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))) 1)
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) 2)
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))) 3)
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))) 3) 1/3)
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(sqrt.f64 (*.f64 529/129600 (pow.f64 (*.f64 x x) 4)))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 -23/360) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))) 3))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 6 (*.f64 x x))
0.5b
(/.f64 1 (/.f64 6 (*.f64 x x)))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 6 (*.f64 x x))
0.0ms
x
@inf
(/.f64 6 (*.f64 x x))
0.0ms
x
@0
(/.f64 1 (/.f64 6 (*.f64 x x)))
0.0ms
x
@inf
(/.f64 1 (/.f64 6 (*.f64 x x)))
0.0ms
x
@-inf
(/.f64 6 (*.f64 x x))

rewrite69.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1532×add-sqr-sqrt
1494×*-un-lft-identity
1412×add-cube-cbrt
1402×add-cbrt-cube
1390×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
117126
2206226
Stop Event
node limit
Counts
2 → 51
Calls
Call 1
Inputs
(/.f64 1 (/.f64 6 (*.f64 x x)))
(/.f64 6 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (/.f64 6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (pow.f64 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 6 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (/.f64 6 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (/.f64 6 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 6 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 6) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x))))))))

simplify97.0ms (0.6%)

Algorithm
egg-herbie
Rules
1200×associate--r+
946×associate--l+
918×associate-+l-
868×associate-+r-
796×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01191145
12761145
210321139
351451139
Stop Event
node limit
Counts
75 → 59
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 1 (/.f64 6 (*.f64 x x)))) 1)
(*.f64 1 (/.f64 1 (/.f64 6 (*.f64 x x))))
(*.f64 (*.f64 x x) 1/6)
(*.f64 (/.f64 1 (/.f64 6 (*.f64 x x))) 1)
(*.f64 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 (pow.f64 x -2) -1))
(*.f64 -1 (/.f64 1 (/.f64 -6 (*.f64 x x))))
(*.f64 (*.f64 1/6 x) x)
(*.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(*.f64 -1/6 (*.f64 x (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) -1))
(pow.f64 (/.f64 6 (*.f64 x x)) -1)
(pow.f64 (/.f64 1 (/.f64 6 (*.f64 x x))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (/.f64 6 (*.f64 x x))) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 6 (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))))
(exp.f64 (log.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 6 (*.f64 x x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 x x))) 1)
(*.f64 1 (/.f64 6 (*.f64 x x)))
(*.f64 6 (pow.f64 x -2))
(*.f64 (/.f64 6 (*.f64 x x)) 1)
(*.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))
(*.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (*.f64 x x))))
(*.f64 (/.f64 6 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 6)
(*.f64 -6 (/.f64 1 (*.f64 x (neg.f64 x))))
(pow.f64 (/.f64 6 (*.f64 x x)) 1)
(pow.f64 (*.f64 (*.f64 x x) 1/6) -1)
(pow.f64 (/.f64 (sqrt.f64 6) x) 2)
(pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (/.f64 36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 6) (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 6 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 6 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(-.f64 (+.f64 1 (/.f64 1 (/.f64 6 (*.f64 x x)))) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 1 (/.f64 1 (/.f64 6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 x x) 1/6)
(*.f64 1/6 (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 6 (*.f64 x x))) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 (pow.f64 x -2) -1))
(*.f64 1/6 (*.f64 x x))
(*.f64 -1 (/.f64 1 (/.f64 -6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 1/6 x) x)
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 1/6 (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(*.f64 1/6 (*.f64 x x))
(*.f64 -1/6 (*.f64 x (neg.f64 x)))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (/.f64 6 (*.f64 x x)))))
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 6 (pow.f64 x -2)))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))
(pow.f64 (/.f64 6 (*.f64 x x)) -1)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (/.f64 1 (/.f64 6 (*.f64 x x))) 1)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))) 3)
(*.f64 1/6 (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 1 (/.f64 6 (*.f64 x x))) 3) 1/3)
(*.f64 1/6 (*.f64 x x))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(*.f64 1/6 (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 6 (*.f64 x x))) 3))
(*.f64 1/6 (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (log.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 6 (*.f64 x x))) -1))
(*.f64 1/6 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))) 1))
(*.f64 1/6 (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 6 (*.f64 x x)))))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 x x))) 1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 1 (/.f64 6 (*.f64 x x)))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (*.f64 x x))
(*.f64 (/.f64 6 (*.f64 x x)) 1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (*.f64 6 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (*.f64 6 (pow.f64 x -2))))
(*.f64 (/.f64 6 x) (/.f64 1 x))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 6)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 -6 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (/.f64 6 (*.f64 x x)) 1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (*.f64 (*.f64 x x) 1/6) -1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 6) x) 2)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(sqrt.f64 (/.f64 36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 6) (pow.f64 x -2)))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(exp.f64 (log.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (/.f64 6 (*.f64 x x))) 1))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (sqrt.f64 1/6) x)
0.3b
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
Compiler

Compiled 16 to 13 computations (18.8% saved)

series4.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
0.0ms
x
@-inf
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
0.0ms
x
@0
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
0.0ms
x
@-inf
(*.f64 (sqrt.f64 1/6) x)
0.0ms
x
@0
(*.f64 (sqrt.f64 1/6) x)

rewrite78.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1494×add-sqr-sqrt
1470×*-un-lft-identity
1370×add-cube-cbrt
1356×add-cbrt-cube
1342×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0928
118424
2201124
Stop Event
node limit
Counts
2 → 37
Calls
Call 1
Inputs
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 (sqrt.f64 1/6) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/6) (*.f64 x (*.f64 (sqrt.f64 1/6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (sqrt.f64 1/6) (*.f64 (sqrt.f64 1/6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/6) x)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/6) x)) (*.f64 (sqrt.f64 1/6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/6) x)) (*.f64 (sqrt.f64 1/6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 4)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 1/6) x) (sqrt.f64 (*.f64 (sqrt.f64 1/6) x))) (sqrt.f64 (*.f64 (sqrt.f64 1/6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 1/6) x) (sqrt.f64 1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 1/6) x) x) (sqrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 1/6) x) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2))) (cbrt.f64 (*.f64 (sqrt.f64 1/6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/6) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/6) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/6) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/6) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/6) x)))))))

simplify66.0ms (0.4%)

Algorithm
egg-herbie
Rules
1210×fma-def
1094×distribute-lft-out
914×*-commutative
656×unswap-sqr
588×swap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
084977
1190753
2848661
32794661
44862661
Stop Event
node limit
Counts
49 → 45
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 (sqrt.f64 1/6) (*.f64 x (*.f64 (sqrt.f64 1/6) x)))
(*.f64 x (*.f64 (sqrt.f64 1/6) (*.f64 (sqrt.f64 1/6) x)))
(*.f64 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2) 1)
(*.f64 1 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/6) x)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/6) x)) (*.f64 (sqrt.f64 1/6) x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/6) x)) (*.f64 (sqrt.f64 1/6) x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 4)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))
(*.f64 (*.f64 x x) 1/6)
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/6) x) (sqrt.f64 (*.f64 (sqrt.f64 1/6) x))) (sqrt.f64 (*.f64 (sqrt.f64 1/6) x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/6) x) (sqrt.f64 1/6)) x)
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/6) x) x) (sqrt.f64 1/6))
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/6) x) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2))) (cbrt.f64 (*.f64 (sqrt.f64 1/6) x)))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 4))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/6) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/6) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 3) 1/3)
(sqrt.f64 (*.f64 1/6 (*.f64 x x)))
(fabs.f64 (*.f64 (sqrt.f64 1/6) x))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/6)) x))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/6) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/6) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/6) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/6) x)))
Outputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 (sqrt.f64 1/6) (*.f64 x (*.f64 (sqrt.f64 1/6) x)))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 (sqrt.f64 1/6) (*.f64 (sqrt.f64 1/6) x)))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2) 1)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 1 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/6) x)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/6) x)) (*.f64 (sqrt.f64 1/6) x)))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 4)))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 4)))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/6) x)) (*.f64 (sqrt.f64 1/6) x)))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 4)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 4)))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 4)))
(*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 (*.f64 x x) 1/6)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/6) x) (sqrt.f64 (*.f64 (sqrt.f64 1/6) x))) (sqrt.f64 (*.f64 (sqrt.f64 1/6) x)))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/6) x) (sqrt.f64 1/6)) x)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/6) x) x) (sqrt.f64 1/6))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/6) x) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2))) (cbrt.f64 (*.f64 (sqrt.f64 1/6) x)))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 4))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2) 3))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(exp.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)) 1))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) 1)
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 1)
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1/2)
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/6) x)) 2)
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/6) x)) 3)
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(sqrt.f64 (*.f64 1/6 (*.f64 x x)))
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(fabs.f64 (*.f64 (sqrt.f64 1/6) x))
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/6)) x))
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) x) 3))
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/6) x)))
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/6) x)))
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/6) x)) 1))
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/6) x)))
(+.f64 (+.f64 1 (*.f64 (sqrt.f64 1/6) x)) -1)
(+.f64 (*.f64 (sqrt.f64 1/6) x) 0)
(*.f64 (sqrt.f64 1/6) x)

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (sin.f64 x) -6)
7.6b
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))
Compiler

Compiled 38 to 23 computations (39.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))
1.0ms
x
@-inf
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))
0.0ms
x
@0
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))
0.0ms
x
@inf
(*.f64 (sin.f64 x) -6)
0.0ms
x
@-inf
(*.f64 (sin.f64 x) -6)

rewrite111.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1746×associate-*l/
908×swap-sqr
518×distribute-lft-neg-in
414×distribute-rgt-neg-in
294×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01348
128344
2385644
Stop Event
node limit
Counts
2 → 136
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))
(*.f64 (sin.f64 x) -6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -6)) 0) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -6))) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (*.f64 (neg.f64 (pow.f64 x 3)) (/.f64 -1/6 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (*.f64 (/.f64 -1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (neg.f64 (*.f64 (/.f64 -1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (cos.f64 x) (/.f64 -1/6 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 3)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (*.f64 (cos.f64 x) (/.f64 -1/6 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (/.f64 -1/6 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (/.f64 1 (*.f64 (sin.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (neg.f64 (/.f64 -1/6 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (neg.f64 (/.f64 1 (*.f64 (sin.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) -6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 36 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -6) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) -6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) -6)))))))

simplify89.0ms (0.5%)

Algorithm
egg-herbie
Rules
1554×distribute-lft-neg-in
1030×distribute-rgt-in
1028×distribute-lft-in
674×associate-*r*
614×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03355176
110814886
253564886
Stop Event
node limit
Counts
160 → 175
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/2835 (pow.f64 x 8)) (*.f64 -1/270 (pow.f64 x 6)))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 -6 x)
(+.f64 (*.f64 -6 x) (pow.f64 x 3))
(+.f64 (*.f64 -6 x) (+.f64 (pow.f64 x 3) (*.f64 -1/20 (pow.f64 x 5))))
(+.f64 (*.f64 1/840 (pow.f64 x 7)) (+.f64 (*.f64 -6 x) (+.f64 (pow.f64 x 3) (*.f64 -1/20 (pow.f64 x 5)))))
(*.f64 -6 (sin.f64 x))
(*.f64 -6 (sin.f64 x))
(*.f64 -6 (sin.f64 x))
(*.f64 -6 (sin.f64 x))
(*.f64 -6 (sin.f64 x))
(*.f64 -6 (sin.f64 x))
(*.f64 -6 (sin.f64 x))
(*.f64 -6 (sin.f64 x))
(+.f64 (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -6)) 0) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))
(+.f64 (*.f64 0 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -6))) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))) 1)
(*.f64 (cos.f64 x) (*.f64 (neg.f64 (pow.f64 x 3)) (/.f64 -1/6 (sin.f64 x))))
(*.f64 (cos.f64 x) (*.f64 (/.f64 -1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 (cos.f64 x) (neg.f64 (*.f64 (/.f64 -1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3)))))
(*.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (cos.f64 x) (/.f64 -1/6 (sin.f64 x))))
(*.f64 (neg.f64 (pow.f64 x 3)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -6)))
(*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -6))))
(*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (*.f64 (cos.f64 x) (/.f64 -1/6 (sin.f64 x)))))
(*.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (/.f64 -1/6 (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (/.f64 1 (*.f64 (sin.f64 x) 6)))
(*.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (neg.f64 (/.f64 -1/6 (sin.f64 x))))
(*.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (neg.f64 (/.f64 1 (*.f64 (sin.f64 x) 6))))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)) 1)
(*.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)) -1)
(*.f64 1 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (/.f64 -1/6 (sin.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (/.f64 -1/6 (sin.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))) (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (/.f64 -1/6 (sin.f64 x))))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (neg.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (/.f64 -1/6 (sin.f64 x)))))
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))) (pow.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))) 2))
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))) (neg.f64 (pow.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))) 2)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))) 2) (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))) 2) (neg.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x))))))
(*.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (sin.f64 x)) (cos.f64 x)) -1/6)
(*.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (sin.f64 x)) (cos.f64 x)) 1/6)
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))
(*.f64 (/.f64 -1/6 (sin.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (neg.f64 (pow.f64 x 3)) -1/6))
(*.f64 (*.f64 (neg.f64 (pow.f64 x 3)) -1/6) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (*.f64 (neg.f64 (pow.f64 x 3)) -1/6) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) -6))
(*.f64 -1/6 (*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) -6))) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (sqrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2)) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (cbrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (/.f64 (cos.f64 x) 1) (/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (sin.f64 x) -6)))
(*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (sin.f64 x)) (/.f64 (cos.f64 x) -6))
(*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) -6)))
(*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (sin.f64 x) -6)) (cos.f64 x))
(*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (sqrt.f64 (*.f64 (sin.f64 x) -6))) (/.f64 (cos.f64 x) (sqrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (sqrt.f64 (*.f64 (sin.f64 x) -6))) (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (*.f64 (sin.f64 x) -6)))))
(*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -6)) (neg.f64 (pow.f64 x 3)))
(*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (pow.f64 x 3)) (/.f64 -1/6 (sin.f64 x))))
(*.f64 (neg.f64 (cos.f64 x)) (*.f64 (/.f64 -1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 (*.f64 (/.f64 -1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))) (cos.f64 x))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 6)) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) 1) (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (*.f64 (sin.f64 x) -6)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) 1) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (*.f64 (sin.f64 x) -6))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (sin.f64 x)) (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) -6))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (sin.f64 x)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) -6)))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) 1) (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (*.f64 (sin.f64 x) -6)))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) 1) (neg.f64 (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (*.f64 (sin.f64 x) -6))))
(*.f64 (/.f64 (cos.f64 x) -6) (/.f64 (neg.f64 (pow.f64 x 3)) (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (*.f64 (sin.f64 x) -6))) (/.f64 (neg.f64 (pow.f64 x 3)) (sqrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2)) (/.f64 (neg.f64 (pow.f64 x 3)) (cbrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2)) (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (*.f64 (sin.f64 x) -6)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) -6) (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) -6) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (*.f64 (sin.f64 x) -6)) (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2)) (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (cbrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (cbrt.f64 (*.f64 (sin.f64 x) -6)))))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (sin.f64 x)) (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) -6))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (sin.f64 x)) (neg.f64 (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) -6)))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) -6) (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) -6) (neg.f64 (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (sqrt.f64 (*.f64 (sin.f64 x) -6))) (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (sqrt.f64 (*.f64 (sin.f64 x) -6))) (neg.f64 (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) -6)))))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2)) (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2)) (neg.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x))))))
(*.f64 1/6 (*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 6)) (neg.f64 (pow.f64 x 3)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) -6) 1)) (neg.f64 (pow.f64 x 3)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) -6) (pow.f64 x 3/2))) (pow.f64 x 3/2))
(*.f64 (/.f64 (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) -6) (*.f64 x x))) x)
(*.f64 (/.f64 (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) -6) -1)) (neg.f64 (pow.f64 x 3)))
(*.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) -6) (cos.f64 x))) (neg.f64 (pow.f64 x 3)))
(*.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) -6) (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)))) (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) -6) (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2))) (*.f64 x (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (*.f64 -6 (/.f64 (sin.f64 x) (neg.f64 (pow.f64 x 3))))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 -6 (/.f64 (sin.f64 x) (neg.f64 (pow.f64 x 3))))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (*.f64 (sin.f64 x) -6)) (*.f64 x (cbrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 (cos.f64 x) 1)) (/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (sin.f64 x) -6)))
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) 1)) (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (*.f64 (sin.f64 x) -6)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) 1)) (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (*.f64 (sin.f64 x) -6)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))) (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))))
(*.f64 (neg.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x))))) (pow.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))) 2))
(*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))) 2)) (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))))
(*.f64 (neg.f64 (/.f64 -1/6 (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))))
(*.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (neg.f64 (pow.f64 x 3)) -1/6))
(*.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) -6))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) -6)))) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (sqrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2))) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (cbrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -6))) (neg.f64 (pow.f64 x 3)))
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (sin.f64 x))) (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) -6))
(*.f64 (neg.f64 (/.f64 (cos.f64 x) -6)) (/.f64 (neg.f64 (pow.f64 x 3)) (sin.f64 x)))
(*.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (*.f64 (sin.f64 x) -6)))) (/.f64 (neg.f64 (pow.f64 x 3)) (sqrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (neg.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2))) (/.f64 (neg.f64 (pow.f64 x 3)) (cbrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) -6)) (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (sin.f64 x)))
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2))) (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (cbrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (sin.f64 x))) (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) -6))
(*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) -6)) (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (sin.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (sqrt.f64 (*.f64 (sin.f64 x) -6)))) (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2))) (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))))
(pow.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))) 2)
(pow.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)) 3) 1/3)
(pow.f64 (/.f64 -6 (*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (sin.f64 x)) (cos.f64 x))) -1)
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 x)) (neg.f64 (pow.f64 x 3))) (/.f64 -1/6 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) 3) (pow.f64 (*.f64 (sin.f64 x) -6) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))))
(exp.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) -6))) 1)
(pow.f64 (*.f64 (sin.f64 x) -6) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) -6)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) -6) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 x) 6))
(sqrt.f64 (*.f64 36 (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 -6) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) -6))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) -6) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) -6)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) -6)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) -6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) -6)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 -1/270 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/2835 (pow.f64 x 8)) (*.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 -1/2835 (pow.f64 x 8) (*.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 -1/270 (pow.f64 x 6) (*.f64 -1/2835 (pow.f64 x 8)))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 -6 x)
(*.f64 x -6)
(+.f64 (*.f64 -6 x) (pow.f64 x 3))
(fma.f64 -6 x (pow.f64 x 3))
(fma.f64 x -6 (pow.f64 x 3))
(+.f64 (*.f64 -6 x) (+.f64 (pow.f64 x 3) (*.f64 -1/20 (pow.f64 x 5))))
(+.f64 (fma.f64 -6 x (pow.f64 x 3)) (*.f64 -1/20 (pow.f64 x 5)))
(fma.f64 x -6 (fma.f64 -1/20 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (*.f64 1/840 (pow.f64 x 7)) (+.f64 (*.f64 -6 x) (+.f64 (pow.f64 x 3) (*.f64 -1/20 (pow.f64 x 5)))))
(fma.f64 1/840 (pow.f64 x 7) (+.f64 (fma.f64 -6 x (pow.f64 x 3)) (*.f64 -1/20 (pow.f64 x 5))))
(fma.f64 1/840 (pow.f64 x 7) (fma.f64 x -6 (fma.f64 -1/20 (pow.f64 x 5) (pow.f64 x 3))))
(*.f64 -6 (sin.f64 x))
(*.f64 (sin.f64 x) -6)
(*.f64 -6 (sin.f64 x))
(*.f64 (sin.f64 x) -6)
(*.f64 -6 (sin.f64 x))
(*.f64 (sin.f64 x) -6)
(*.f64 -6 (sin.f64 x))
(*.f64 (sin.f64 x) -6)
(*.f64 -6 (sin.f64 x))
(*.f64 (sin.f64 x) -6)
(*.f64 -6 (sin.f64 x))
(*.f64 (sin.f64 x) -6)
(*.f64 -6 (sin.f64 x))
(*.f64 (sin.f64 x) -6)
(*.f64 -6 (sin.f64 x))
(*.f64 (sin.f64 x) -6)
(+.f64 (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -6)) 0) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (*.f64 0 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -6))) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))) 1)
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (cos.f64 x) (*.f64 (neg.f64 (pow.f64 x 3)) (/.f64 -1/6 (sin.f64 x))))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (cos.f64 x) (*.f64 (/.f64 -1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (cos.f64 x) (neg.f64 (*.f64 (/.f64 -1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3)))))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
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(*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))) 2)) (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 -1/6 (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (pow.f64 x 3) -1/6) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (neg.f64 (pow.f64 x 3)) -1/6))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (pow.f64 x 3) -1/6) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) -6))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (pow.f64 x 3) -1/6) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) -6)))) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (sqrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (pow.f64 x 3) -1/6) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2))) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (cbrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (pow.f64 x 3) -1/6) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) -6))) (neg.f64 (pow.f64 x 3)))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (pow.f64 x 3) -1/6) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (sin.f64 x))) (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) -6))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (cos.f64 x) -6)) (/.f64 (neg.f64 (pow.f64 x 3)) (sin.f64 x)))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (pow.f64 x 3) -1/6) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (*.f64 (sin.f64 x) -6)))) (/.f64 (neg.f64 (pow.f64 x 3)) (sqrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (pow.f64 x 3) -1/6) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2))) (/.f64 (neg.f64 (pow.f64 x 3)) (cbrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (pow.f64 x 3) -1/6) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) -6)) (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2))) (/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x 3/2)) (cbrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (sin.f64 x))) (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) -6))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) -6)) (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (sqrt.f64 (*.f64 (sin.f64 x) -6)))) (/.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2))) (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))))
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (neg.f64 (cbrt.f64 (/.f64 -1/6 (sin.f64 x))))) (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2)))
(*.f64 (cbrt.f64 (/.f64 -1/6 (sin.f64 x))) (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 2)))
(pow.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)) 1)
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))) 2)
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(pow.f64 (*.f64 (*.f64 x (cbrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 -1/6 (sin.f64 x)))) 3)
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (pow.f64 x 3) -1/6) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)) 3) 1/3)
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(pow.f64 (/.f64 -6 (*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (sin.f64 x)) (cos.f64 x))) -1)
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/6 (sin.f64 x)) (neg.f64 (pow.f64 x 3))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (pow.f64 x 3) -1/6) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (sin.f64 x) -6))) 2))
(fabs.f64 (*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3))))
(fabs.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 x)) (neg.f64 (pow.f64 x 3))) (/.f64 -1/6 (sin.f64 x))))
(*.f64 (/.f64 -1/6 (sin.f64 x)) (log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (neg.f64 (pow.f64 x 3)))))
(*.f64 (/.f64 -1/6 (sin.f64 x)) (*.f64 (neg.f64 (pow.f64 x 3)) (log.f64 (exp.f64 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)))))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6)) 3))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) 3) (pow.f64 (*.f64 (sin.f64 x) -6) 3)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))) 1))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) -6))) 1)
(*.f64 (sin.f64 x) -6)
(pow.f64 (*.f64 (sin.f64 x) -6) 1)
(*.f64 (sin.f64 x) -6)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) -6)) 2)
(*.f64 (sin.f64 x) -6)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -6)) 3)
(*.f64 (sin.f64 x) -6)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) -6) 3) 1/3)
(*.f64 (sin.f64 x) -6)
(neg.f64 (*.f64 (sin.f64 x) 6))
(*.f64 (sin.f64 x) -6)
(sqrt.f64 (*.f64 36 (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 -6) (sin.f64 x)))
(*.f64 (sin.f64 x) -6)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) -6))))
(*.f64 (sin.f64 x) -6)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) -6) 3))
(*.f64 (sin.f64 x) -6)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) -6)))
(*.f64 (sin.f64 x) -6)
(exp.f64 (log.f64 (*.f64 (sin.f64 x) -6)))
(*.f64 (sin.f64 x) -6)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) -6)) 1))
(*.f64 (sin.f64 x) -6)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) -6)))
(*.f64 (sin.f64 x) -6)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
0.1b
(*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6))
0.1b
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)))
9.5b
(/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6)))
Compiler

Compiled 47 to 34 computations (27.7% saved)

series7.0ms (0%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)))
1.0ms
x
@inf
(/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6)))
1.0ms
x
@-inf
(/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6)))
1.0ms
x
@0
(/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6)))
1.0ms
x
@inf
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)))

rewrite109.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1316×unswap-sqr
1098×associate-/r/
994×swap-sqr
492×associate-/l/
372×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013108
128496
2384888
Stop Event
node limit
Counts
4 → 205
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6)))
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)))
(*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
Outputs
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(sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/6) (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (*.f64 1/6 (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))))

simplify146.0ms (0.9%)

Algorithm
egg-herbie
Rules
1052×associate-*r*
986×associate-*l*
806×*-commutative
678×times-frac
666×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05398501
115007067
268337067
Stop Event
node limit
Counts
229 → 292
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (sqrt.f64 1/6) 2)) (*.f64 2/15 (pow.f64 (sqrt.f64 1/6) 2))) (pow.f64 x 6))) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (sqrt.f64 1/6) 2)) (*.f64 2/15 (pow.f64 (sqrt.f64 1/6) 2))) (pow.f64 x 6))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 8) (+.f64 (*.f64 -2/45 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (*.f64 17/315 (pow.f64 (sqrt.f64 1/6) 2)) (*.f64 -1/3 (+.f64 (*.f64 -1/9 (pow.f64 (sqrt.f64 1/6) 2)) (*.f64 2/15 (pow.f64 (sqrt.f64 1/6) 2)))))))) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3))) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3))) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3))) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3))) (sin.f64 x))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3)))) (sin.f64 x)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3)))) (sin.f64 x)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3)))) (sin.f64 x)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3)))) (sin.f64 x)))
(/.f64 x (sqrt.f64 1/6))
(+.f64 (/.f64 x (sqrt.f64 1/6)) (*.f64 1/3 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6))))
(+.f64 (*.f64 2/15 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6))) (+.f64 (/.f64 x (sqrt.f64 1/6)) (*.f64 1/3 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)))))
(+.f64 (*.f64 2/15 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6))) (+.f64 (/.f64 x (sqrt.f64 1/6)) (+.f64 (*.f64 17/315 (/.f64 (pow.f64 x 7) (sqrt.f64 1/6))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))))) 1)
(*.f64 (pow.f64 x 3/2) (/.f64 (sqrt.f64 1/6) (tan.f64 x)))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))) 1)
(*.f64 1 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (*.f64 (pow.f64 x 3/4) (sqrt.f64 (/.f64 (sqrt.f64 1/6) (tan.f64 x)))) (*.f64 (pow.f64 x 3/4) (sqrt.f64 (/.f64 (sqrt.f64 1/6) (tan.f64 x)))))
(*.f64 (pow.f64 x 3/4) (*.f64 (pow.f64 x 3/4) (/.f64 (sqrt.f64 1/6) (tan.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 2)) 1/6)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 2)) 1/6)) (cbrt.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/6) (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) (sqrt.f64 1/6))
(*.f64 (/.f64 (sqrt.f64 1/6) (tan.f64 x)) (pow.f64 x 3/2))
(*.f64 (neg.f64 (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/6) (neg.f64 (tan.f64 x))))
(*.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) 1) (sqrt.f64 1/6))
(*.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) (pow.f64 1/6 1/4)) (pow.f64 1/6 1/4))
(*.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) (cbrt.f64 1/6)) (cbrt.f64 (sqrt.f64 1/6)))
(*.f64 (/.f64 (pow.f64 x 3/2) 1) (/.f64 (sqrt.f64 1/6) (tan.f64 x)))
(*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)))
(*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (pow.f64 x 3/2) (pow.f64 1/6 -1/2)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (/.f64 (pow.f64 x 3/2) (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) (/.f64 (pow.f64 x 3/2) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(*.f64 (/.f64 (pow.f64 x 3/2) (sqrt.f64 (tan.f64 x))) (/.f64 (sqrt.f64 1/6) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 1/6) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 x 3/2) (neg.f64 (tan.f64 x))) (neg.f64 (sqrt.f64 1/6)))
(*.f64 (/.f64 1 (neg.f64 (tan.f64 x))) (*.f64 (pow.f64 x 3/2) (neg.f64 (sqrt.f64 1/6))))
(*.f64 (/.f64 (pow.f64 x 3/2) (sin.f64 x)) (*.f64 (sqrt.f64 1/6) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3/4) (tan.f64 x)) (/.f64 (pow.f64 x 3/4) (pow.f64 1/6 -1/2)))
(*.f64 (/.f64 (pow.f64 x 3/4) 1) (*.f64 (/.f64 (pow.f64 x 3/4) (tan.f64 x)) (sqrt.f64 1/6)))
(*.f64 (*.f64 (/.f64 (pow.f64 x 3/4) (tan.f64 x)) (sqrt.f64 1/6)) (pow.f64 x 3/4))
(*.f64 (/.f64 (pow.f64 x 3/4) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) (/.f64 (pow.f64 x 3/4) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(*.f64 (/.f64 x (tan.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x 3/2)) (pow.f64 1/6 -1/2)))
(*.f64 (/.f64 x 1) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 3/2)) (tan.f64 x)) (sqrt.f64 1/6)))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (/.f64 (cbrt.f64 (pow.f64 x 3/2)) (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(*.f64 (/.f64 x (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) (cbrt.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(*.f64 (/.f64 (sqrt.f64 1/6) (neg.f64 (tan.f64 x))) (neg.f64 (pow.f64 x 3/2)))
(*.f64 (/.f64 (pow.f64 x 3/2) -1) (/.f64 (sqrt.f64 1/6) (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) 1) 1) (/.f64 (sqrt.f64 1/6) (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) 1) (sin.f64 x)) (*.f64 (sqrt.f64 1/6) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 (pow.f64 x 3/2) (*.f64 (sin.f64 x) (pow.f64 1/6 -1/2))) (cos.f64 x))
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (pow.f64 1/6 1/4))) (pow.f64 1/6 1/4))
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (cbrt.f64 1/6))) (cbrt.f64 (sqrt.f64 1/6)))
(*.f64 (/.f64 (pow.f64 x 3/2) (*.f64 (sin.f64 x) 1)) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(*.f64 (/.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (*.f64 (pow.f64 x 3/4) (sqrt.f64 1/6)))) (pow.f64 x 3/4))
(*.f64 (/.f64 1 (/.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)) x)) (cbrt.f64 (pow.f64 x 3/2)))
(*.f64 (/.f64 x (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (cbrt.f64 (pow.f64 x 3/2)))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) 1) (sqrt.f64 1/6))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) 1) (/.f64 (sqrt.f64 1/6) 1))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) (/.f64 1 (pow.f64 1/6 1/4))) (pow.f64 1/6 1/4))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) (/.f64 1 (cbrt.f64 1/6))) (cbrt.f64 (sqrt.f64 1/6)))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) -1) (neg.f64 (sqrt.f64 1/6)))
(*.f64 (/.f64 (neg.f64 (pow.f64 x 3/2)) -1) (/.f64 (sqrt.f64 1/6) (tan.f64 x)))
(*.f64 (/.f64 (neg.f64 (pow.f64 x 3/2)) (tan.f64 x)) (neg.f64 (sqrt.f64 1/6)))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) 1) (sqrt.f64 (tan.f64 x))) (/.f64 (sqrt.f64 1/6) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) 1) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 1/6) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) 1) (neg.f64 (tan.f64 x))) (neg.f64 (sqrt.f64 1/6)))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) 1) (*.f64 (sin.f64 x) (pow.f64 1/6 -1/2))) (cos.f64 x))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) 1) (/.f64 (tan.f64 x) (pow.f64 1/6 1/4))) (pow.f64 1/6 1/4))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) 1) (/.f64 (tan.f64 x) (cbrt.f64 1/6))) (cbrt.f64 (sqrt.f64 1/6)))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) 1) -1) (/.f64 (sqrt.f64 1/6) (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) 1) (*.f64 (sin.f64 x) 1)) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) 1) (sqrt.f64 (/.f64 (sqrt.f64 1/6) (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (sqrt.f64 (tan.f64 x))) (pow.f64 1/6 1/4))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (sqrt.f64 (neg.f64 (tan.f64 x)))) (sqrt.f64 (neg.f64 (sqrt.f64 1/6))))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) 1) (cbrt.f64 (/.f64 (sqrt.f64 1/6) (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3/2) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (sqrt.f64 1/6)))
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))) (*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 1/6 -1/2)) (sqrt.f64 (tan.f64 x))) (*.f64 (sqrt.f64 (pow.f64 1/6 -1/2)) (sqrt.f64 (tan.f64 x))))
(pow.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)) 1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/6) (tan.f64 x)) -1)
(neg.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6)))
(neg.f64 (/.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6)) 1))
(sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))
(log.f64 (exp.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (*.f64 1/6 (sqrt.f64 1/6))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(exp.f64 (log.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
Outputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))
(fma.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/18))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (sqrt.f64 1/6) 2)) (*.f64 2/15 (pow.f64 (sqrt.f64 1/6) 2))) (pow.f64 x 6))) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))))
(fma.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) 1/45) (pow.f64 x 6)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/270)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (sqrt.f64 1/6) 2)) (*.f64 2/15 (pow.f64 (sqrt.f64 1/6) 2))) (pow.f64 x 6))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 8) (+.f64 (*.f64 -2/45 (pow.f64 (sqrt.f64 1/6) 2)) (+.f64 (*.f64 17/315 (pow.f64 (sqrt.f64 1/6) 2)) (*.f64 -1/3 (+.f64 (*.f64 -1/9 (pow.f64 (sqrt.f64 1/6) 2)) (*.f64 2/15 (pow.f64 (sqrt.f64 1/6) 2)))))))) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)))))
(fma.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 4)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) 1/45) (pow.f64 x 6)) (fma.f64 -1 (*.f64 (pow.f64 x 8) (fma.f64 -2/45 (pow.f64 (sqrt.f64 1/6) 2) (fma.f64 17/315 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) 1/45))))) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 -1/270 (pow.f64 x 6) (fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 8) -1/2835))))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3))) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 x 3) (*.f64 1/6 (cos.f64 x))) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3))) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 x 3) (*.f64 1/6 (cos.f64 x))) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3))) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 x 3) (*.f64 1/6 (cos.f64 x))) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3))) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 x 3) (*.f64 1/6 (cos.f64 x))) (sin.f64 x))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3)))) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3))) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3)))) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3))) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3)))) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3))) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3)))) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 3))) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 x 3))))
(/.f64 x (sqrt.f64 1/6))
(+.f64 (/.f64 x (sqrt.f64 1/6)) (*.f64 1/3 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (/.f64 x (sqrt.f64 1/6)))
(+.f64 (*.f64 2/15 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6))) (+.f64 (/.f64 x (sqrt.f64 1/6)) (*.f64 1/3 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)))))
(fma.f64 2/15 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6)) (+.f64 (/.f64 x (sqrt.f64 1/6)) (*.f64 1/3 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)))))
(fma.f64 2/15 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (/.f64 x (sqrt.f64 1/6))))
(+.f64 (*.f64 2/15 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6))) (+.f64 (/.f64 x (sqrt.f64 1/6)) (+.f64 (*.f64 17/315 (/.f64 (pow.f64 x 7) (sqrt.f64 1/6))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6))))))
(fma.f64 2/15 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6)) (+.f64 (/.f64 x (sqrt.f64 1/6)) (fma.f64 17/315 (/.f64 (pow.f64 x 7) (sqrt.f64 1/6)) (*.f64 1/3 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6))))))
(+.f64 (fma.f64 2/15 (/.f64 (pow.f64 x 5) (sqrt.f64 1/6)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (/.f64 x (sqrt.f64 1/6)))) (/.f64 (*.f64 17/315 (pow.f64 x 7)) (sqrt.f64 1/6)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 1/6))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 1/6))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 1/6))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 1/6))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 1/6))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 1/6))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 1/6))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sqrt.f64 1/6)))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 1/6))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))))) 1)
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (pow.f64 x 3/2) (/.f64 (sqrt.f64 1/6) (tan.f64 x)))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))) 1)
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 1 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (*.f64 (pow.f64 x 3/4) (sqrt.f64 (/.f64 (sqrt.f64 1/6) (tan.f64 x)))) (*.f64 (pow.f64 x 3/4) (sqrt.f64 (/.f64 (sqrt.f64 1/6) (tan.f64 x)))))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (pow.f64 x 3/4) (*.f64 (pow.f64 x 3/4) (/.f64 (sqrt.f64 1/6) (tan.f64 x))))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 2)) 1/6)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))) (cbrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 2)) 1/6)) (cbrt.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))) (cbrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 2)))))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/6) (tan.f64 x))))
(*.f64 x (*.f64 (sqrt.f64 1/6) (/.f64 (cbrt.f64 (pow.f64 x 3/2)) (tan.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x 3/2)) (*.f64 (sqrt.f64 1/6) (/.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) (sqrt.f64 1/6))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 1/6) (tan.f64 x)) (pow.f64 x 3/2))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (neg.f64 (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/6) (neg.f64 (tan.f64 x))))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) 1) (sqrt.f64 1/6))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) (pow.f64 1/6 1/4)) (pow.f64 1/6 1/4))
(/.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 1/6 1/4)) (/.f64 (tan.f64 x) (pow.f64 1/6 1/4)))
(/.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 1/6 1/2)) (tan.f64 x))
(*.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) (cbrt.f64 1/6)) (cbrt.f64 (sqrt.f64 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 1/6)) (*.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) (cbrt.f64 1/6)))
(*.f64 (/.f64 (pow.f64 x 3/2) 1) (/.f64 (sqrt.f64 1/6) (tan.f64 x)))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (pow.f64 x 3/2) (pow.f64 1/6 -1/2)))
(/.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) (pow.f64 1/6 -1/2))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (/.f64 (pow.f64 x 3/2) (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) (/.f64 (pow.f64 x 3/2) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(/.f64 (*.f64 1 (/.f64 (pow.f64 x 3/2) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))
(/.f64 (/.f64 (pow.f64 x 3/2) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))
(*.f64 (/.f64 (pow.f64 x 3/2) (sqrt.f64 (tan.f64 x))) (/.f64 (sqrt.f64 1/6) (sqrt.f64 (tan.f64 x))))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 1/6) (cbrt.f64 (tan.f64 x))))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3/2) (neg.f64 (tan.f64 x))) (neg.f64 (sqrt.f64 1/6)))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (/.f64 1 (neg.f64 (tan.f64 x))) (*.f64 (pow.f64 x 3/2) (neg.f64 (sqrt.f64 1/6))))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3/2) (sin.f64 x)) (*.f64 (sqrt.f64 1/6) (cos.f64 x)))
(*.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (sin.f64 x)) (cos.f64 x)) (sqrt.f64 1/6))
(/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3/4) (tan.f64 x)) (/.f64 (pow.f64 x 3/4) (pow.f64 1/6 -1/2)))
(*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (pow.f64 x 3/2) (pow.f64 1/6 -1/2)))
(/.f64 (/.f64 (pow.f64 x 3/2) (tan.f64 x)) (pow.f64 1/6 -1/2))
(*.f64 (/.f64 (pow.f64 x 3/4) 1) (*.f64 (/.f64 (pow.f64 x 3/4) (tan.f64 x)) (sqrt.f64 1/6)))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (*.f64 (/.f64 (pow.f64 x 3/4) (tan.f64 x)) (sqrt.f64 1/6)) (pow.f64 x 3/4))
(*.f64 (sqrt.f64 1/6) (/.f64 (pow.f64 x 3/2) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3/4) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) (/.f64 (pow.f64 x 3/4) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(/.f64 (*.f64 1 (/.f64 (pow.f64 x 3/2) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))
(/.f64 (/.f64 (pow.f64 x 3/2) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))
(*.f64 (/.f64 x (tan.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x 3/2)) (pow.f64 1/6 -1/2)))
(*.f64 (/.f64 x 1) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 3/2)) (tan.f64 x)) (sqrt.f64 1/6)))
(*.f64 x (*.f64 (sqrt.f64 1/6) (/.f64 (cbrt.f64 (pow.f64 x 3/2)) (tan.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x 3/2)) (*.f64 (sqrt.f64 1/6) (/.f64 x (tan.f64 x))))
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(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6))) 3)
(*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) 3) 1/3)
(*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))
(sqrt.f64 (*.f64 1/6 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3/2)) (sqrt.f64 1/6)))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)))))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) 3))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3/2) 3) (*.f64 1/6 (sqrt.f64 1/6))))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))
(cbrt.f64 (*.f64 (*.f64 1/6 (sqrt.f64 1/6)) (pow.f64 (pow.f64 x 3/2) 3)))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6))))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6))))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6))) 1))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6))))
(*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) 1)
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (tan.f64 x) (pow.f64 1/6 -1/2))
(*.f64 (tan.f64 x) (neg.f64 (/.f64 -1 (sqrt.f64 1/6))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)) 1)
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 1 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 1/6 -1/2)))
(*.f64 (tan.f64 x) (pow.f64 1/6 -1/2))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 1/6 -1/2)))
(*.f64 (tan.f64 x) (pow.f64 1/6 -1/2))
(*.f64 (pow.f64 1/6 -1/2) (tan.f64 x))
(*.f64 (tan.f64 x) (pow.f64 1/6 -1/2))
(*.f64 (neg.f64 (tan.f64 x)) (/.f64 -1 (sqrt.f64 1/6)))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6)))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6))) (cbrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6)))) (neg.f64 (cbrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6)))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (/.f64 1 (pow.f64 1/6 1/4)) (/.f64 (tan.f64 x) (pow.f64 1/6 1/4)))
(*.f64 (/.f64 (tan.f64 x) (pow.f64 1/6 1/4)) (/.f64 1 (pow.f64 1/6 1/4)))
(/.f64 (/.f64 (tan.f64 x) (pow.f64 1/6 1/4)) (pow.f64 1/6 1/4))
(*.f64 (/.f64 1 (cbrt.f64 1/6)) (/.f64 (tan.f64 x) (cbrt.f64 (sqrt.f64 1/6))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 1/6)) (tan.f64 x)) (cbrt.f64 (sqrt.f64 1/6)))
(/.f64 (/.f64 (tan.f64 x) (cbrt.f64 1/6)) (cbrt.f64 (sqrt.f64 1/6)))
(*.f64 -1 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6)))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) (neg.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (/.f64 -1 (sqrt.f64 1/6)) (neg.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 1/6)))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 1/6)) (sqrt.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 1/6)) (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (sqrt.f64 1/6))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 1/6)) (tan.f64 x)) (cbrt.f64 (sqrt.f64 1/6)))
(/.f64 (/.f64 (tan.f64 x) (cbrt.f64 1/6)) (cbrt.f64 (sqrt.f64 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 1/6)))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 1/6 1/4)) (/.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 1/6 1/4)))
(*.f64 (/.f64 (tan.f64 x) (pow.f64 1/6 1/4)) (/.f64 1 (pow.f64 1/6 1/4)))
(/.f64 (/.f64 (tan.f64 x) (pow.f64 1/6 1/4)) (pow.f64 1/6 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 1/6)) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 1/6)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 (cbrt.f64 1/6) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 1/6) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 1/6) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 1/6)) (cbrt.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6)))) (sqrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6))) (cbrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6))))) (cbrt.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))) (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))) (*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)) (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))) (*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 1/6 -1/2)) (sqrt.f64 (tan.f64 x))) (*.f64 (sqrt.f64 (pow.f64 1/6 -1/2)) (sqrt.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (pow.f64 1/6 -1/2))
(pow.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)) 1)
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) 2)
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) 3)
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(pow.f64 (pow.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)) 3) 1/3)
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(pow.f64 (/.f64 (sqrt.f64 1/6) (tan.f64 x)) -1)
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(neg.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6)))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(neg.f64 (/.f64 (/.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 1/6)) 1))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) 1/6))
(log.f64 (exp.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6)) 3))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (*.f64 1/6 (sqrt.f64 1/6))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(exp.f64 (log.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))) 1))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 x) (sqrt.f64 1/6))))
(/.f64 (tan.f64 x) (sqrt.f64 1/6))

eval291.0ms (1.7%)

Compiler

Compiled 11441 to 7962 computations (30.4% saved)

prune175.0ms (1%)

Pruning

21 alts after pruning (14 fresh and 7 done)

PrunedKeptTotal
New6055610
Fresh2911
Picked101
Done279
Total61021631
Error
0.0b
Counts
631 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
28.4b
(pow.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))) 3) 1/3)
1.1b
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
28.4b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))) 3)
60.4b
(/.f64 (-.f64 (*.f64 (neg.f64 x) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
28.4b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
8.4b
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 x -6))
1.3b
(/.f64 1 (/.f64 (/.f64 6 x) x))
28.4b
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
1.3b
(/.f64 1 (/.f64 6 (*.f64 x x)))
1.0b
(/.f64 1 (+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 (/.f64 6 x) x))))
1.1b
(/.f64 1 (+.f64 23/10 (/.f64 (/.f64 6 x) x)))
28.4b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
29.1b
(+.f64 (-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1) (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))))
0.8b
(+.f64 (*.f64 1/6 (*.f64 x x)) (-.f64 (+.f64 1 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))) 1))
0.8b
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (*.f64 x x))) 1)))
0.7b
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))))
60.4b
(*.f64 (/.f64 (-.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 x (sin.f64 x)))) (pow.f64 (tan.f64 x) 2)) x)
1.0b
(*.f64 (/.f64 1 (/.f64 6 x)) x)
1.0b
(*.f64 x (*.f64 x 1/6))
1.0b
(*.f64 1/6 (*.f64 x x))
28.4b
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
Compiler

Compiled 259 to 167 computations (35.5% saved)

regimes40.0ms (0.2%)

Counts
44 → 1
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(/.f64 1 (/.f64 6 (*.f64 x x)))
(/.f64 1 (/.f64 (/.f64 6 x) x))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(/.f64 1 (+.f64 23/10 (/.f64 (/.f64 6 x) x)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (*.f64 x x))) 1)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (-.f64 (+.f64 1 (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)))) 1))
(+.f64 (-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1) (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 1/6 (/.f64 (tan.f64 x) x)) (*.f64 x x))
(*.f64 (/.f64 1/6 (/.f64 (tan.f64 x) (*.f64 x x))) x)
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4)))
(/.f64 1 (+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 (/.f64 6 x) x))))
(fma.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x 1/6)))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3))
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (tan.f64 x)))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(/.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 x 1/6)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 x -6))
(pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -1)
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 (/.f64 1/6 (/.f64 (tan.f64 x) (pow.f64 x 3/2))) (pow.f64 x 3/2))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x 3))) (*.f64 (sin.f64 x) -6))
(log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))
(pow.f64 (/.f64 x (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 1/6))) 3)
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x))) 3) 1/3)
(*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (tan.f64 x) (sqrt.f64 1/6))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) (/.f64 (tan.f64 x) (/.f64 x (sin.f64 x)))) (pow.f64 (tan.f64 x) 2)) x)
(/.f64 (-.f64 (*.f64 (neg.f64 x) (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
Outputs
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))))
Calls

2 calls:

24.0ms
x
3.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.7b1x
0.7b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 492 to 268 computations (45.5% saved)

regimes50.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(/.f64 1 (/.f64 6 (*.f64 x x)))
(/.f64 1 (/.f64 (/.f64 6 x) x))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(/.f64 1 (+.f64 23/10 (/.f64 (/.f64 6 x) x)))
Outputs
(*.f64 (/.f64 1 (/.f64 6 x)) x)
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
1.0b1x
Compiler

Compiled 52 to 35 computations (32.7% saved)

regimes4.0ms (0%)

Accuracy

Total -0.1b remaining (-9.9%)

Threshold costs -0.1b (-9.9%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
Outputs
(*.f64 1/6 (*.f64 x x))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
1.0b1x
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01575
12275
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(*.f64 1/6 (*.f64 x x))
Outputs
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(*.f64 x (/.f64 1 (/.f64 6 x)))
(*.f64 1/6 (*.f64 x x))
Compiler

Compiled 30 to 18 computations (40% saved)

soundness83.0ms (0.5%)

Algorithm
egg-herbie
Rules
962×associate-+l+
932×associate-+r+
892×+-commutative
780×associate-/l*
690×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04367158
112346916
268736892
Stop Event
node limit
Compiler

Compiled 33 to 24 computations (27.3% saved)

end22.0ms (0.1%)

Compiler

Compiled 28 to 15 computations (46.4% saved)

Profiling

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