Details

Time bar (total: 7.4s)

analyze70.0ms (0.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
50%46.8%3.2%7
56.2%37.5%6.3%8
62.4%25.8%11.8%9
65.6%20.3%14.1%10
68.7%13.5%17.9%11
70.2%10.5%19.2%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample870.0ms (11.8%)

Results
793.0ms8256×body256valid
61.0ms632×body256invalid

preprocess46.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
620×fma-def_binary64
612×fma-neg_binary64
514×distribute-rgt-in_binary64
498×div-sub_binary64
475×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
14132
213332
339532
4140632
5632832
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
(/.f64 (*.f64 (-.f64 1 y) (-.f64 3 y)) (*.f64 x 3))
Outputs
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1/3 (/.f64 x 3)) y))
(*.f64 (*.f64 1/3 (/.f64 (-.f64 1 x) y)) (-.f64 3 x))
(/.f64 (*.f64 (-.f64 1 y) (-.f64 3 y)) (*.f64 x 3))
(*.f64 (/.f64 (-.f64 1 y) x) (/.f64 (-.f64 3 y) 3))
(*.f64 (/.f64 (-.f64 1 y) x) (-.f64 1 (/.f64 y 3)))
(/.f64 (-.f64 1 y) (*.f64 (/.f64 x (-.f64 3 y)) 3))
(*.f64 (-.f64 1 y) (*.f64 (-.f64 3 y) (/.f64 1/3 x)))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify45.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
638×unsub-neg_binary64
351×sub-neg_binary64
330×associate-/l*_binary64
308×fma-def_binary64
306×fma-neg_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01016
12416
27116
320416
473316
5325014
6762014
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Outputs
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (/.f64 x 3))) y)
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
(*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

eval1.0ms (0%)

Compiler

Compiled 23 to 17 computations (26.1% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
5.6b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶5.9b
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
▶6.0b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Compiler

Compiled 25 to 19 computations (24% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
5.6b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
✓5.6b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite63.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
627×log-prod_binary64
365×pow-prod-down_binary64
302×pow2_binary64
230×prod-diff_binary64
212×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
122416
2328416
Stop Event
1×node limit
Counts
1 → 61
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))) 2) (cbrt.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))) (sqrt.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (*.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 3 x) (neg.f64 (-.f64 1 x))) (/.f64 1 (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) y) (*.f64 (-.f64 3 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 3 x) 1/3) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) 1) (/.f64 (-.f64 3 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) 1) (/.f64 (-.f64 1 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) y) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) 3) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) y) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) -2) (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (cbrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 (*.f64 y y) 9))) (/.f64 (-.f64 3 x) (cbrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) (cbrt.f64 (*.f64 (*.f64 y y) 9))) (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) (cbrt.f64 (*.f64 (*.f64 y y) 9))) (cbrt.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (cbrt.f64 (*.f64 (*.f64 y y) 9))) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (cbrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 3 y) -1/2) (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (sqrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (*.f64 3 y))) (/.f64 (-.f64 3 x) (sqrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) (sqrt.f64 (*.f64 3 y))) (/.f64 (-.f64 1 x) (sqrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) (sqrt.f64 (*.f64 3 y))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (sqrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) 2) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) (pow.f64 (*.f64 3 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) (pow.f64 (*.f64 3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))))))))

simplify44.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
753×unsub-neg_binary64
712×fma-def_binary64
330×distribute-rgt-in_binary64
329×distribute-rgt-neg-out_binary64
329×distribute-neg-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
022401
149399
2110387
3319387
41142343
54463343
Stop Event
1×node limit
Counts
85 → 72
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(*.f64 x (*.f64 (/.f64 x y) 1/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(*.f64 x (*.f64 (/.f64 x y) 1/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (/.f64 y 1/3)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (/.f64 y 1/3)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (/.f64 y 1/3)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (/.f64 y 1/3)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (/.f64 y 1/3)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (/.f64 y 1/3)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (/.f64 y 1/3)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (/.f64 y 1/3)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (/.f64 y 1/3)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (/.f64 y 1/3)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (/.f64 y 1/3)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (/.f64 y 1/3)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
5.4b
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
0.4b
(/.f64 1/3 y)
✓0.4b
(/.f64 1/3 y)
✓5.4b
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

series8.0ms (0.1%)

Counts
2 → 24
Calls

9 calls:

TimeVariablePointExpression
4.0ms
y
@0
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
1.0ms
x
@0
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
1.0ms
y
@inf
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
0.0ms
y
@-inf
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
0.0ms
x
@-inf
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

rewrite56.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
560×unpow-prod-down_binary64
459×log-prod_binary64
355×exp-prod_binary64
278×pow2_binary64
256×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
122118
2270618
Stop Event
1×node limit
Counts
2 → 84
Calls
Call 1
Inputs
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(/.f64 1/3 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) (*.f64 3 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 y) (*.f64 x (+.f64 x -4))) (*.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (+.f64 x -4) 3) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (fma.f64 x (+.f64 x -4) 3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) (*.f64 x (+.f64 x -4)) (*.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y) (*.f64 3 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 y)) (cbrt.f64 (*.f64 1/9 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 y -2))) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 y)) (sqrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (pow.f64 (/.f64 1 (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/3 y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/3 y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 1/9 (pow.f64 y -2)) 1/3) 1/3) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (cbrt.f64 (/.f64 1/3 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/3 y) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/3) 3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 y))) 2) 3) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/3) 2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) -1) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 y -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/3 y))) 2)) (cbrt.f64 (log.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/3 y)))) (sqrt.f64 (log.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/3 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 y)))))))

simplify91.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1096×fma-def_binary64
503×distribute-neg-frac_binary64
360×associate-/l*_binary64
351×*-commutative_binary64
342×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023485
150483
294447
3178447
4452270
51495270
63854270
75681270
85901270
96192270
106538270
117340270
Stop Event
1×node limit
Counts
108 → 94
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(fma.f64 (/.f64 -4/3 y) x (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 (*.f64 x (*.f64 x 1/3)) y)
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (/.f64 (*.f64 x (*.f64 x 1/3)) y))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 (*.f64 x (*.f64 x 1/3)) y)
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (/.f64 (*.f64 x (*.f64 x 1/3)) y))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 (/.f64 -4/3 y) x (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)

eval58.0ms (0.8%)

Compiler

Compiled 2499 to 1896 computations (24.1% saved)

prune33.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1579166
Fresh000
Picked101
Done011
Total15810168
Error
0b
Counts
168 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶38.4b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
▶0.6b
(*.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) 1/3)
▶0.2b
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))))
0.4b
(*.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))
▶38.0b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
5.6b
(*.f64 (/.f64 1 y) (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))
24.2b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
▶24.1b
(/.f64 1 y)
38.3b
(*.f64 x (*.f64 (/.f64 x y) 1/3))
✓6.0b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Compiler

Compiled 227 to 170 computations (25.1% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x))))
0.1b
(/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))
0.0b
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))))
0.0b
(/.f64 y (-.f64 3 x))
✓0.0b
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))))
✓0.1b
(/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))
✓0.1b
(/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x))))
✓0.2b
(*.f64 3 (/.f64 y (-.f64 3 x)))

series16.0ms (0.2%)

Counts
4 → 84
Calls

24 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(*.f64 3 (/.f64 y (-.f64 3 x)))
2.0ms
y
@0
(/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x))))
1.0ms
y
@0
(/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))
1.0ms
y
@0
(*.f64 3 (/.f64 y (-.f64 3 x)))
1.0ms
y
@inf
(/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))

rewrite113.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
686×log-prod_binary64
428×fma-def_binary64
335×log-div_binary64
247×fma-neg_binary64
238×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
126149
2408849
Stop Event
1×node limit
Counts
4 → 276
Calls
Call 1
Inputs
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x))))
(/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))))
Outputs
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simplify70.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
496×associate-*l*_binary64
357×associate-*r*_binary64
331×div-sub_binary64
308×associate-/l*_binary64
242×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0731220
12001180
25261140
316911127
460181106
Stop Event
1×node limit
Counts
360 → 314
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 1/3 (*.f64 y x)))
(+.f64 y (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x))))
(+.f64 y (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x)))))
(*.f64 -3 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(*.f64 -3 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 1 y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(/.f64 x y)
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y))
(*.f64 -1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y))
(*.f64 -1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y))
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y))
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y)
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y)
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y)
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y)
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y)
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y)
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y)
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
Outputs
y
(+.f64 y (*.f64 1/3 (*.f64 y x)))
(fma.f64 (*.f64 y 1/3) x y)
(fma.f64 x (*.f64 y 1/3) y)
(fma.f64 y (*.f64 1/3 x) y)
(+.f64 y (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x))))
(+.f64 y (fma.f64 1/9 (*.f64 y (*.f64 x x)) (*.f64 1/3 (*.f64 y x))))
(+.f64 y (fma.f64 1/3 (*.f64 y x) (*.f64 (*.f64 x x) (*.f64 y 1/9))))
(fma.f64 y (*.f64 1/3 x) (fma.f64 (*.f64 y (*.f64 1/9 x)) x y))
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(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y)
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y)
(/.f64 (+.f64 x -3) (/.f64 y (-.f64 -1/3 (*.f64 x -1/3))))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) y))
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y)
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y)
(/.f64 (+.f64 x -3) (/.f64 y (-.f64 -1/3 (*.f64 x -1/3))))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) y))
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y)
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y)
(/.f64 (+.f64 x -3) (/.f64 y (-.f64 -1/3 (*.f64 x -1/3))))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) y))
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y)
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y)
(/.f64 (+.f64 x -3) (/.f64 y (-.f64 -1/3 (*.f64 x -1/3))))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) y))
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y)
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y)
(/.f64 (+.f64 x -3) (/.f64 y (-.f64 -1/3 (*.f64 x -1/3))))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y))
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y)
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y)
(/.f64 (+.f64 x -3) (/.f64 y (-.f64 -1/3 (*.f64 x -1/3))))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y))
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y)
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y)
(/.f64 (+.f64 x -3) (/.f64 y (-.f64 -1/3 (*.f64 x -1/3))))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y))
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y)
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y)
(/.f64 (+.f64 x -3) (/.f64 y (-.f64 -1/3 (*.f64 x -1/3))))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y))
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y)
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y)
(/.f64 (+.f64 x -3) (/.f64 y (-.f64 -1/3 (*.f64 x -1/3))))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)))
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)))
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 x y) -4/3))
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 1/3 (/.f64 x y))))
(*.f64 x (+.f64 (*.f64 1/3 (/.f64 x y)) (/.f64 -4/3 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)))
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)))
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 x y) -4/3))
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 1/3 (/.f64 x y))))
(*.f64 x (+.f64 (*.f64 1/3 (/.f64 x y)) (/.f64 -4/3 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)))
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)))
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))

localize2.0ms (0%)

localize4.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series11.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(*.f64 x (/.f64 1/3 y))
2.0ms
x
@0
(*.f64 x (/.f64 1/3 y))
1.0ms
y
@0
(*.f64 x (*.f64 x (/.f64 1/3 y)))
1.0ms
y
@inf
(*.f64 x (*.f64 x (/.f64 1/3 y)))
1.0ms
x
@0
(*.f64 x (*.f64 x (/.f64 1/3 y)))

rewrite80.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
724×pow1_binary64
671×add-log-exp_binary64
671×log1p-expm1-u_binary64
671×expm1-log1p-u_binary64
658×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114917
2184017
Stop Event
1×node limit
Counts
2 → 41
Calls
Call 1
Inputs
(*.f64 x (/.f64 1/3 y))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 1/3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/3) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 1/3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 1) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 1/3 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))))

simplify114.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1307×associate-*l/_binary64
1050×associate-*r/_binary64
368×sqr-pow_binary64
334×*-commutative_binary64
258×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010408
121408
238408
370408
4186408
5683408
61807408
72826408
82936408
93079408
103260408
113534408
123860408
135244408
147820408
Stop Event
1×node limit
Counts
89 → 45
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x 1/3)
0.3b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
0.0b
(+.f64 -4/3 (*.f64 x 1/3))
✓0.0b
(+.f64 -4/3 (*.f64 x 1/3))
✓0.3b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
✓0.3b
(*.f64 x 1/3)

series7.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
1.0ms
y
@0
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
1.0ms
y
@inf
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
1.0ms
x
@inf
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
1.0ms
x
@0
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))

rewrite65.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
511×log-prod_binary64
371×prod-diff_binary64
345×pow-prod-down_binary64
267×pow2_binary64
188×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0924
120520
2287720
Stop Event
1×node limit
Counts
3 → 153
Calls
Call 1
Inputs
(*.f64 x 1/3)
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(+.f64 -4/3 (*.f64 x 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) -4/3) (*.f64 x (*.f64 1/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x y) -4/3) 1) (*.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/3 -4/3)) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/3 -4/3)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/3 -4/3)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/3 -4/3)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) 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simplify52.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1020×fma-def_binary64
418×associate-*l/_binary64
343×associate-/l*_binary64
334×associate-*r/_binary64
308×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017486
137486
270486
3136360
4369360
51274360
63657360
77032360
Stop Event
1×node limit
Counts
201 → 163
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -4/3 (/.f64 x y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
-4/3
(-.f64 (*.f64 1/3 x) 4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(*.f64 1/3 x)
(-.f64 (*.f64 1/3 x) 4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(*.f64 1/3 x)
(-.f64 (*.f64 1/3 x) 4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(-.f64 (*.f64 1/3 x) 4/3)
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -4/3 (/.f64 x y))
(/.f64 (*.f64 x -4/3) y)
(*.f64 x (/.f64 -4/3 y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (fma.f64 1/3 x -4/3) (/.f64 y x))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
-4/3
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(*.f64 1/3 x)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(*.f64 1/3 x)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) 1/3)
0.1b
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
0.0b
(/.f64 y (-.f64 1 x))
✓0.0b
(/.f64 y (-.f64 1 x))
✓0.1b
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
✓0.5b
(*.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) 1/3)

series10.0ms (0.1%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 y (-.f64 1 x))
1.0ms
y
@0
(*.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) 1/3)
1.0ms
y
@inf
(*.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) 1/3)
1.0ms
y
@inf
(/.f64 y (-.f64 1 x))
1.0ms
y
@-inf
(/.f64 y (-.f64 1 x))

rewrite106.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
648×log-prod_binary64
349×prod-diff_binary64
331×pow2_binary64
230×pow1/3_binary64
228×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
125136
2357036
Stop Event
1×node limit
Counts
3 → 240
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) 1/3)
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
(/.f64 y (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 3 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (/.f64 (-.f64 1 x) y)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (/.f64 (-.f64 1 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (/.f64 (-.f64 1 x) y))))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (/.f64 (-.f64 1 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 3 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (/.f64 (/.f64 y (-.f64 1 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (-.f64 1 x)) (*.f64 (-.f64 3 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) 1/3) (/.f64 y (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 3 x) 1/3)) (/.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) 1/3) y) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) 1/3) 1) (/.f64 y (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) 1/3) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 x))) 2)) (cbrt.f64 (/.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) 1/3) (sqrt.f64 (/.f64 y (-.f64 1 x)))) (sqrt.f64 (/.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) 1/3) (/.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (neg.f64 (-.f64 3 x))) (/.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 3 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) 2) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 3 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 3 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 3 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 1 x)) (*.f64 (-.f64 3 x) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 3 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 3 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 3 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 3 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 3 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 3 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 x))) 2) (cbrt.f64 (/.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 y (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 y (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 x) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 1 x))))))))

simplify78.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
595×fma-def_binary64
456×distribute-lft-out_binary64
415×distribute-rgt-out_binary64
334×sub-neg_binary64
239×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053945
1144925
2357899
31153845
44791821
Stop Event
1×node limit
Counts
300 → 277
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 3 y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -4 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
y
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (+.f64 y (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 y (pow.f64 x 3)) (+.f64 (*.f64 y x) (+.f64 y (*.f64 y (pow.f64 x 2)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (/.f64 1/3 (/.f64 y (*.f64 x x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (/.f64 1/3 (/.f64 y (*.f64 x x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(/.f64 (*.f64 x 1/3) (/.f64 y x))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1/3 (/.f64 y (*.f64 x x))))
(fma.f64 -4/3 (/.f64 x y) (/.f64 (*.f64 x 1/3) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 (/.f64 1/3 y) x)))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (/.f64 1/3 (/.f64 y (*.f64 x x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (/.f64 1/3 (/.f64 y (*.f64 x x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(/.f64 (*.f64 x 1/3) (/.f64 y x))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1/3 (/.f64 y (*.f64 x x))))
(fma.f64 -4/3 (/.f64 x y) (/.f64 (*.f64 x 1/3) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 (/.f64 1/3 y) x)))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (/.f64 1/3 (/.f64 y (*.f64 x x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (/.f64 1/3 (/.f64 y (*.f64 x x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3)))
(/.f64 3 y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -4 (/.f64 x y)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) -4))
(fma.f64 (/.f64 x y) -4 (/.f64 3 y))
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (/.f64 3 y) (fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4)))
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (/.f64 3 y) (fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) (+.f64 x -4))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (/.f64 3 y) (fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4)))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (/.f64 3 y) (fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) (+.f64 x -4))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (/.f64 3 y) (fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4)))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (/.f64 3 y) (fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4)))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))
y
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 (*.f64 y x) (+.f64 y (*.f64 y (pow.f64 x 2))))
(+.f64 (fma.f64 y x y) (*.f64 y (*.f64 x x)))
(fma.f64 y x (fma.f64 y (*.f64 x x) y))
(*.f64 y (+.f64 x (fma.f64 x x 1)))
(fma.f64 y (fma.f64 x x x) y)
(+.f64 (*.f64 y (pow.f64 x 3)) (+.f64 (*.f64 y x) (+.f64 y (*.f64 y (pow.f64 x 2)))))
(fma.f64 y (pow.f64 x 3) (+.f64 (fma.f64 y x y) (*.f64 y (*.f64 x x))))
(fma.f64 y (pow.f64 x 3) (fma.f64 y x (fma.f64 y (*.f64 x x) y)))
(+.f64 (fma.f64 y x y) (*.f64 x (*.f64 x (fma.f64 y x y))))
(*.f64 (fma.f64 x x 1) (fma.f64 y x y))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 y x)))
(-.f64 (/.f64 (neg.f64 y) x) (/.f64 y (*.f64 x x)))
(*.f64 (/.f64 y x) (+.f64 (/.f64 -1 x) -1))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(fma.f64 -1 (/.f64 y (pow.f64 x 3)) (*.f64 -1 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 y x))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y (*.f64 x x))) (/.f64 y (pow.f64 x 3)))
(-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 -1 x) -1)) (/.f64 y (pow.f64 x 3)))
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -1 x))) (/.f64 y (pow.f64 x 3)))
(*.f64 (/.f64 -1 x) (+.f64 y (+.f64 (/.f64 y x) (/.f64 (/.f64 y x) x))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 -1 (/.f64 y (pow.f64 x 4)) (fma.f64 -1 (/.f64 y (pow.f64 x 3)) (*.f64 -1 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 y x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y (*.f64 x x))) (/.f64 y (pow.f64 x 3))) (/.f64 y (pow.f64 x 4)))
(-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 -1 x) -1)) (+.f64 (/.f64 y (pow.f64 x 3)) (/.f64 y (pow.f64 x 4))))
(*.f64 (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))) (+.f64 -1 (/.f64 (/.f64 -1 x) x)))
(*.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (+.f64 y (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 y x)))
(-.f64 (/.f64 (neg.f64 y) x) (/.f64 y (*.f64 x x)))
(*.f64 (/.f64 y x) (+.f64 (/.f64 -1 x) -1))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(fma.f64 -1 (/.f64 y (pow.f64 x 3)) (*.f64 -1 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 y x))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y (*.f64 x x))) (/.f64 y (pow.f64 x 3)))
(-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 -1 x) -1)) (/.f64 y (pow.f64 x 3)))
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -1 x))) (/.f64 y (pow.f64 x 3)))
(*.f64 (/.f64 -1 x) (+.f64 y (+.f64 (/.f64 y x) (/.f64 (/.f64 y x) x))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 -1 (/.f64 y (pow.f64 x 4)) (fma.f64 -1 (/.f64 y (pow.f64 x 3)) (*.f64 -1 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 y x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y (*.f64 x x))) (/.f64 y (pow.f64 x 3))) (/.f64 y (pow.f64 x 4)))
(-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 -1 x) -1)) (+.f64 (/.f64 y (pow.f64 x 3)) (/.f64 y (pow.f64 x 4))))
(*.f64 (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))) (+.f64 -1 (/.f64 (/.f64 -1 x) x)))
(*.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (+.f64 y (/.f64 y x)))

eval521.0ms (7.1%)

Compiler

Compiled 21687 to 15129 computations (30.2% saved)

prune172.0ms (2.3%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New88211893
Fresh224
Picked101
Done235
Total88716903
Error
0b
Counts
903 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
61.4b
(*.f64 (/.f64 x y) -4/3)
38.6b
(*.f64 1/3 (/.f64 x (/.f64 y x)))
✓38.4b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
43.5b
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
▶38.3b
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
24.2b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
61.4b
(*.f64 x (/.f64 -4/3 y))
0.4b
(*.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))
✓38.0b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
▶0.2b
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
▶38.5b
(*.f64 x (/.f64 x (*.f64 y 3)))
38.6b
(*.f64 (*.f64 x (/.f64 x y)) 1/3)
43.8b
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
✓24.1b
(/.f64 1 y)
▶24.4b
(*.f64 (/.f64 3 y) 1/3)
▶24.7b
(*.f64 (/.f64 (-.f64 3 x) y) 1/3)
Compiler

Compiled 275 to 200 computations (27.3% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.1b
(/.f64 3 (/.f64 (-.f64 3 x) y))
0.1b
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
0.0b
(/.f64 (-.f64 3 x) y)
✓0.0b
(/.f64 (-.f64 3 x) y)
✓0.1b
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
✓0.1b
(/.f64 3 (/.f64 (-.f64 3 x) y))

series16.0ms (0.2%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
10.0ms
y
@inf
(/.f64 (-.f64 3 x) y)
1.0ms
y
@-inf
(/.f64 (-.f64 3 x) y)
0.0ms
x
@0
(/.f64 3 (/.f64 (-.f64 3 x) y))
0.0ms
x
@inf
(/.f64 3 (/.f64 (-.f64 3 x) y))
0.0ms
x
@-inf
(/.f64 3 (/.f64 (-.f64 3 x) y))

rewrite173.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
648×log-prod_binary64
439×prod-diff_binary64
321×pow2_binary64
280×log-div_binary64
223×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
123933
2362533
Stop Event
1×node limit
Counts
3 → 294
Calls
Call 1
Inputs
(/.f64 3 (/.f64 (-.f64 3 x) y))
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
(/.f64 (-.f64 3 x) y)
Outputs
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simplify60.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
797×fma-def_binary64
551×associate-/l/_binary64
464×distribute-lft-out_binary64
431×distribute-rgt-in_binary64
372×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
063882
1161860
2391793
31180773
44329753
Stop Event
1×node limit
Counts
354 → 325
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 1/3 (*.f64 y x)))
(+.f64 y (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x))))
(+.f64 y (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x)))))
(*.f64 -3 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(*.f64 -3 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 3 y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
Outputs
y
(+.f64 y (*.f64 1/3 (*.f64 y x)))
(fma.f64 (*.f64 y 1/3) x y)
(fma.f64 y (*.f64 1/3 x) y)
(*.f64 y (fma.f64 1/3 x 1))
(+.f64 y (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x))))
(+.f64 y (fma.f64 1/9 (*.f64 y (*.f64 x x)) (*.f64 1/3 (*.f64 y x))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 y 1/9)) (fma.f64 (*.f64 y 1/3) x y))
(fma.f64 y (*.f64 x (*.f64 x 1/9)) (fma.f64 y (*.f64 1/3 x) y))
(fma.f64 x (*.f64 y (+.f64 (*.f64 x 1/9) 1/3)) y)
(fma.f64 y (*.f64 x (+.f64 (*.f64 x 1/9) 1/3)) y)
(+.f64 y (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x)))))
(+.f64 y (fma.f64 1/27 (*.f64 y (pow.f64 x 3)) (fma.f64 1/9 (*.f64 y (*.f64 x x)) (*.f64 1/3 (*.f64 y x)))))
(+.f64 y (fma.f64 1/27 (*.f64 y (pow.f64 x 3)) (fma.f64 1/3 (*.f64 y x) (*.f64 (*.f64 x x) (*.f64 y 1/9)))))
(fma.f64 1/27 (*.f64 y (pow.f64 x 3)) (fma.f64 y (*.f64 x (*.f64 x 1/9)) (fma.f64 y (*.f64 1/3 x) y)))
(fma.f64 x (*.f64 x (*.f64 y (+.f64 (*.f64 x 1/27) 1/9))) (*.f64 y (fma.f64 1/3 x 1)))
(+.f64 y (*.f64 x (*.f64 y (+.f64 1/3 (*.f64 x (+.f64 (*.f64 x 1/27) 1/9))))))
(*.f64 -3 (/.f64 y x))
(*.f64 y (/.f64 -3 x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2))))
(fma.f64 -3 (/.f64 y x) (*.f64 -9 (/.f64 y (*.f64 x x))))
(fma.f64 -3 (/.f64 y x) (/.f64 -9 (/.f64 x (/.f64 y x))))
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -27) (pow.f64 x 3))))
(fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))))
(*.f64 (/.f64 y x) (+.f64 (/.f64 -27 (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (/.f64 (*.f64 y -81) (pow.f64 x 4)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x)))))
(fma.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -27 (/.f64 -81 x))))
(*.f64 -3 (/.f64 y x))
(*.f64 y (/.f64 -3 x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2))))
(fma.f64 -3 (/.f64 y x) (*.f64 -9 (/.f64 y (*.f64 x x))))
(fma.f64 -3 (/.f64 y x) (/.f64 -9 (/.f64 x (/.f64 y x))))
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -27) (pow.f64 x 3))))
(fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))))
(*.f64 (/.f64 y x) (+.f64 (/.f64 -27 (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (/.f64 (*.f64 y -81) (pow.f64 x 4)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x)))))
(fma.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -27 (/.f64 -81 x))))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 y (/.f64 3 (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 y (/.f64 3 (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 y (/.f64 3 (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 y (/.f64 3 (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 y (/.f64 3 (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 y (/.f64 3 (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 y (/.f64 3 (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 y (/.f64 3 (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 y (/.f64 3 (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 y (/.f64 3 (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 y (/.f64 3 (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 y (/.f64 3 (-.f64 3 x)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 1/3 x))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 1/3 x))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 1/3 y) x))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (+.f64 (*.f64 (/.f64 1/3 y) x) (/.f64 -4/3 y)))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 1/3 x)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 1/3 x))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 1/3 x))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 1/3 y) x))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (+.f64 (*.f64 (/.f64 1/3 y) x) (/.f64 -4/3 y)))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 1/3 x)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 1/3 x))))
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(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
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(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 1/3 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 x))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 x))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 x))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 x))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 x))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 x))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 x))
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(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 x))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 x))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
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(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 x))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 x))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 x))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 3 y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (/.f64 3 y) 1/3)
✓0.4b
(*.f64 (/.f64 3 y) 1/3)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite41.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
557×pow1_binary64
521×add-log-exp_binary64
521×log1p-expm1-u_binary64
521×expm1-log1p-u_binary64
513×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
11304
214454
Stop Event
1×node limit
Counts
1 → 18
Calls
Call 1
Inputs
(*.f64 (/.f64 3 y) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (*.f64 y 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 y)))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1648
Stop Event
1×saturated
Counts
30 → 18
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
Outputs
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)

localize52.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (/.f64 (-.f64 3 x) y) 1/3)
0.0b
(/.f64 (-.f64 3 x) y)
0.0b
(/.f64 (-.f64 3 x) y)
✓0.3b
(*.f64 (/.f64 (-.f64 3 x) y) 1/3)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite54.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
576×unpow-prod-down_binary64
436×log-prod_binary64
337×exp-prod_binary64
241×pow2_binary64
219×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
118210
2244810
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 3 x) y) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 3 x) y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) y)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) y))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (/.f64 y 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 y (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (-.f64 3 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 3 x) 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) 1/3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) 1/3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) 1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (neg.f64 (-.f64 3 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 2) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (-.f64 3 x) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 3 x) y) 1/3)))))))

simplify52.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
870×fma-neg_binary64
448×associate-/r*_binary64
421×distribute-rgt-neg-in_binary64
420×fma-def_binary64
411×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
015249
128249
249249
383186
4161186
5264186
6459186
7701186
81138186
92943186
105603186
117195186
Stop Event
1×node limit
Counts
59 → 42
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
Outputs
(/.f64 1 y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(/.f64 x (*.f64 y 3))
0.2b
(*.f64 x (/.f64 x (*.f64 y 3)))
✓0.2b
(*.f64 x (/.f64 x (*.f64 y 3)))
✓0.5b
(/.f64 x (*.f64 y 3))

series36.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
33.0ms
x
@0
(/.f64 x (*.f64 y 3))
0.0ms
x
@inf
(/.f64 x (*.f64 y 3))
0.0ms
x
@inf
(*.f64 x (/.f64 x (*.f64 y 3)))
0.0ms
y
@inf
(/.f64 x (*.f64 y 3))
0.0ms
x
@-inf
(/.f64 x (*.f64 y 3))

rewrite62.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
793×pow1_binary64
738×add-log-exp_binary64
738×log1p-expm1-u_binary64
738×expm1-log1p-u_binary64
723×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114817
2196617
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(/.f64 x (*.f64 y 3))
(*.f64 x (/.f64 x (*.f64 y 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 2) (cbrt.f64 (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) (sqrt.f64 (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 3) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) (cbrt.f64 (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y 3))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 1/3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 3 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) (cbrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 y 3))) (sqrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 1/3 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))))

simplify105.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1307×associate-*l/_binary64
1050×associate-*r/_binary64
368×sqr-pow_binary64
334×*-commutative_binary64
258×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010408
121408
238408
370408
4186408
5683408
61807408
72826408
82936408
93079408
103260408
113534408
123860408
135244408
147820408
Stop Event
1×node limit
Counts
112 → 66
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
0.1b
(*.f64 (/.f64 x y) (+.f64 x -4))
✓0.1b
(*.f64 (/.f64 x y) (+.f64 x -4))
✓0.5b
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
y
@0
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
1.0ms
y
@inf
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
1.0ms
x
@0
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
1.0ms
x
@inf
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
1.0ms
x
@-inf
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)

rewrite63.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
521×log-prod_binary64
384×exp-prod_binary64
340×pow-prod-down_binary64
270×pow2_binary64
268×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
120723
2291023
Stop Event
1×node limit
Counts
2 → 115
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
(*.f64 (/.f64 x y) (+.f64 x -4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 x y)) 1/3) (*.f64 (/.f64 -4 (/.f64 y x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) (*.f64 1/3 (/.f64 -4 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -4) 1/3) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 x -4) 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x -4)) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 x (+.f64 x -4))) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 x (/.f64 x y)) (*.f64 1/3 (/.f64 -4 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (/.f64 x y)) 1/3 (*.f64 (/.f64 -4 (/.f64 y x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 x y)) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 (/.f64 y x)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) (+.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 x y)) 1) (*.f64 (/.f64 -4 (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)) 2)) (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -4)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -4)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (+.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (+.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -4) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -64 (pow.f64 x 3)) (*.f64 (/.f64 y x) (-.f64 (fma.f64 x x 16) (*.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16) (*.f64 (/.f64 y x) (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x -4)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (+.f64 x -4))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -64 (pow.f64 x 3))) (*.f64 y (-.f64 (fma.f64 x x 16) (*.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 -64 (pow.f64 x 3))) (*.f64 (neg.f64 y) (-.f64 (fma.f64 x x 16) (*.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -16)) (*.f64 y (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (fma.f64 x x -16)) (*.f64 (neg.f64 y) (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64 (pow.f64 x 3)) x) (*.f64 (-.f64 (fma.f64 x x 16) (*.f64 x -4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16) x) (*.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64 (pow.f64 x 3)) 1) (*.f64 (-.f64 (fma.f64 x x 16) (*.f64 x -4)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16) 1) (*.f64 (+.f64 x 4) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (-.f64 (fma.f64 x x 16) (*.f64 x -4)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16) (neg.f64 x)) (*.f64 (+.f64 x 4) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) (pow.f64 (/.f64 -4 (/.f64 y x)) 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2) (-.f64 (pow.f64 (/.f64 -4 (/.f64 y x)) 2) (*.f64 (*.f64 x (/.f64 x y)) (/.f64 -4 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2) (pow.f64 (/.f64 -4 (/.f64 y x)) 2)) (-.f64 (*.f64 x (/.f64 x y)) (/.f64 -4 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x -4)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x -4)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x -4)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 x -4)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64 (pow.f64 x 3)) (/.f64 x y)) (-.f64 (fma.f64 x x 16) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16) (/.f64 x y)) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (+.f64 -64 (pow.f64 x 3))) (-.f64 (fma.f64 x x 16) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (fma.f64 x x -16)) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -4) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (+.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (+.f64 x -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 x y) (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (+.f64 x -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 x y) (+.f64 x -4)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 x y) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 x y) (+.f64 x -4))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 x y) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -4)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 x y) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (/.f64 1 y) -4) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) x (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) -4 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 x y) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (/.f64 x y)) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -4 (/.f64 y x)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (/.f64 1 y) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 x y)) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (*.f64 (cbrt.f64 (/.f64 x y)) x) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (*.f64 (cbrt.f64 (/.f64 x y)) -4) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) x) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) -4) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -4) (/.f64 1 y) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (/.f64 x y)) 1 (*.f64 (/.f64 -4 (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (/.f64 y x))) 2) (cbrt.f64 (/.f64 -4 (/.f64 y x))) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2) (cbrt.f64 (*.f64 x (/.f64 x y))) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -4 (/.f64 y x))) (sqrt.f64 (/.f64 -4 (/.f64 y x))) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) (sqrt.f64 (*.f64 x (/.f64 x y))) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 y x) -2))) (cbrt.f64 (/.f64 x y)) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 -4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 y x) -2))) (cbrt.f64 (/.f64 x y)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (+.f64 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x y) (+.f64 x -4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) (+.f64 x -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x y) (+.f64 x -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (+.f64 x -4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (+.f64 x -4))))))))

simplify64.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
514×associate-/l*_binary64
506×distribute-rgt-out_binary64
428×fma-def_binary64
421×associate-/r/_binary64
386×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
021699
146699
290699
3196615
4536489
51949489
65422489
77388489
Stop Event
1×node limit
Counts
163 → 129
Calls
Call 1
Inputs
(*.f64 -4/3 (/.f64 x y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(*.f64 -4 (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) y) (*.f64 -4 (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) (*.f64 -4 (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) (*.f64 -4 (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 (-.f64 x 4) x) y)
(/.f64 (*.f64 (-.f64 x 4) x) y)
(/.f64 (*.f64 (-.f64 x 4) x) y)
(/.f64 (*.f64 (-.f64 x 4) x) y)
(/.f64 (*.f64 (-.f64 x 4) x) y)
(/.f64 (*.f64 (-.f64 x 4) x) y)
(/.f64 (*.f64 (-.f64 x 4) x) y)
(/.f64 (*.f64 (-.f64 x 4) x) y)
(/.f64 (*.f64 (-.f64 x 4) x) y)
(/.f64 (*.f64 (-.f64 x 4) x) y)
(/.f64 (*.f64 (-.f64 x 4) x) y)
(/.f64 (*.f64 (-.f64 x 4) x) y)
Outputs
(*.f64 -4/3 (/.f64 x y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 -4 (/.f64 x y))
(*.f64 (/.f64 x y) -4)
(*.f64 x (/.f64 -4 y))
(+.f64 (/.f64 (pow.f64 x 2) y) (*.f64 -4 (/.f64 x y)))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(+.f64 (/.f64 (pow.f64 x 2) y) (*.f64 -4 (/.f64 x y)))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(+.f64 (/.f64 (pow.f64 x 2) y) (*.f64 -4 (/.f64 x y)))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (*.f64 (-.f64 x 4) x) y)
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (*.f64 (-.f64 x 4) x) y)
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (*.f64 (-.f64 x 4) x) y)
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (*.f64 (-.f64 x 4) x) y)
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (*.f64 (-.f64 x 4) x) y)
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (*.f64 (-.f64 x 4) x) y)
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (*.f64 (-.f64 x 4) x) y)
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (*.f64 (-.f64 x 4) x) y)
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (*.f64 (-.f64 x 4) x) y)
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (*.f64 (-.f64 x 4) x) y)
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (*.f64 (-.f64 x 4) x) y)
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))
(/.f64 (*.f64 (-.f64 x 4) x) y)
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 x (/.f64 (+.f64 x -4) y))

eval302.0ms (4.1%)

Compiler

Compiled 17216 to 10843 computations (37% saved)

prune127.0ms (1.7%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New6638671
Fresh448
Picked101
Done257
Total67017687
Error
0b
Counts
687 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
61.4b
(*.f64 -4/3 (/.f64 x y))
▶24.3b
(/.f64 1/3 (*.f64 y 1/3))
43.8b
(/.f64 (/.f64 (*.f64 x x) 3) y)
✓38.4b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
▶38.6b
(*.f64 1/3 (/.f64 x (/.f64 y x)))
38.6b
(*.f64 (*.f64 x (/.f64 x y)) 1/3)
24.4b
(/.f64 (-.f64 1 x) y)
24.2b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
▶61.4b
(*.f64 x (/.f64 -4/3 y))
▶0.4b
(*.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))
✓38.0b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
▶38.3b
(/.f64 x (*.f64 3 (/.f64 y x)))
43.5b
(/.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) y)
43.5b
(*.f64 (/.f64 (*.f64 (-.f64 x 4) x) y) 1/3)
✓24.1b
(/.f64 1 y)
✓24.4b
(*.f64 (/.f64 3 y) 1/3)
✓38.5b
(*.f64 x (/.f64 x (*.f64 y 3)))
Compiler

Compiled 261 to 188 computations (28% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))
0.0b
(/.f64 (-.f64 3 x) y)
0.0b
(/.f64 (-.f64 3 x) y)
✓0.4b
(*.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite68.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
595×log-prod_binary64
319×pow2_binary64
277×prod-diff_binary64
275×log-div_binary64
223×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
123716
2349916
Stop Event
1×node limit
Counts
1 → 62
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (*.f64 1/3 (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))) (/.f64 (-.f64 3 x) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))) (/.f64 (-.f64 3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))) (/.f64 (-.f64 3 x) y)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))) (/.f64 (-.f64 3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (/.f64 (-.f64 3 x) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (-.f64 3 x)) (/.f64 3 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 3 y) (*.f64 (-.f64 1 x) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (-.f64 1 x) (*.f64 1/3 (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (*.f64 (/.f64 y (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (*.f64 (/.f64 3 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (*.f64 y (/.f64 3 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 3 x) y) (/.f64 3 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 3 x)) (*.f64 (/.f64 3 (-.f64 1 x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (*.f64 (/.f64 y (-.f64 3 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (-.f64 3 x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (neg.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (-.f64 3 x)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) 1) (*.f64 -3 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) 1) (*.f64 (neg.f64 y) (/.f64 3 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (-.f64 3 x)) (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (neg.f64 (-.f64 3 x))) (*.f64 3 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 3 x))) (*.f64 -3 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) (-.f64 1 x)) (*.f64 (neg.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (neg.f64 (-.f64 1 x))) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) (neg.f64 (-.f64 1 x))) (*.f64 (neg.f64 y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (-.f64 3 x))) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (-.f64 3 x))) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (-.f64 3 x))) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (/.f64 (-.f64 3 x) y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) (-.f64 1/3 (*.f64 x 1/3))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/3 (*.f64 x 1/3)) (neg.f64 (-.f64 3 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 3 x) y) (neg.f64 (-.f64 1 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (/.f64 (-.f64 3 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) 2) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (/.f64 (-.f64 3 x) y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (/.f64 (-.f64 3 x) y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (/.f64 (-.f64 3 x) y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1/3 (*.f64 x 1/3)) 3) (pow.f64 (/.f64 (-.f64 3 x) y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 3) (pow.f64 (-.f64 1/3 (*.f64 x 1/3)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (-.f64 3 x)) (/.f64 3 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 y) (*.f64 (-.f64 1 x) (-.f64 3 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (-.f64 1 x) (*.f64 1/3 (-.f64 3 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))) (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (/.f64 (-.f64 3 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (/.f64 (-.f64 3 x) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1/3 (*.f64 x 1/3)) 3) (pow.f64 (/.f64 (-.f64 3 x) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 3) (pow.f64 (-.f64 1/3 (*.f64 x 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (/.f64 (-.f64 3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (/.f64 (-.f64 3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (/.f64 (-.f64 3 x) y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (/.f64 (-.f64 3 x) y)))))))))

simplify41.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
767×unsub-neg_binary64
710×fma-def_binary64
373×distribute-rgt-neg-out_binary64
350×distribute-rgt-in_binary64
313×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
022401
149399
2110387
3319387
41152343
54609343
Stop Event
1×node limit
Counts
86 → 73
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(*.f64 x (*.f64 (/.f64 x y) 1/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(*.f64 x (*.f64 (/.f64 x y) 1/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 1/3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 1/3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 1/3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 1/3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 1/3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 1/3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 1/3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 1/3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 1/3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 1/3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 1/3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(/.f64 (*.f64 1/3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 -4/3 y)
0.2b
(*.f64 x (/.f64 -4/3 y))
✓0.2b
(*.f64 x (/.f64 -4/3 y))
✓0.4b
(/.f64 -4/3 y)

series4.0ms (0.1%)

Counts
2 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 -4/3 y)
0.0ms
x
@inf
(*.f64 x (/.f64 -4/3 y))
0.0ms
x
@-inf
(*.f64 x (/.f64 -4/3 y))
0.0ms
y
@inf
(*.f64 x (/.f64 -4/3 y))
0.0ms
y
@inf
(/.f64 -4/3 y)

rewrite68.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
616×pow1_binary64
574×add-log-exp_binary64
574×log1p-expm1-u_binary64
574×expm1-log1p-u_binary64
563×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
112811
2155911
Stop Event
1×node limit
Counts
2 → 40
Calls
Call 1
Inputs
(/.f64 -4/3 y)
(*.f64 x (/.f64 -4/3 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -4/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -4/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -4/3 y)) (pow.f64 (cbrt.f64 (/.f64 -4/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 y)) 2) (cbrt.f64 (/.f64 -4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -4/3 y)) (sqrt.f64 (/.f64 -4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -4/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -4/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -4/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16/9 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -4/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -4/3 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 -4/3 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 -4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4/3 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -4/3 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -4/3 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 -4/3 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 -4/3 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 -4/3 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 -4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -4/3 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 -4/3 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -4/3 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -4/3 y) x)))))))

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
1×associate-*r/_binary64
1×associate-*l/_binary64
1×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
1×saturated
Counts
64 → 42
Calls
Call 1
Inputs
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
Outputs
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 -4/3 y) x)

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1/3 (*.f64 y 1/3))
0.4b
(*.f64 y 1/3)
✓0.4b
(*.f64 y 1/3)
✓0.4b
(/.f64 1/3 (*.f64 y 1/3))

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite59.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
523×pow1_binary64
512×add-sqr-sqrt_binary64
488×add-log-exp_binary64
488×log1p-expm1-u_binary64
488×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0511
11098
213388
Stop Event
1×node limit
Counts
2 → 32
Calls
Call 1
Inputs
(/.f64 1/3 (*.f64 y 1/3))
(*.f64 y 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 (cbrt.f64 (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 y)))))))

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0696
1996
Stop Event
1×saturated
Counts
56 → 35
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
Outputs
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(*.f64 1/3 y)
(*.f64 y 1/3)
(*.f64 1/3 y)
(*.f64 y 1/3)
(*.f64 1/3 y)
(*.f64 y 1/3)
(*.f64 1/3 y)
(*.f64 y 1/3)
(*.f64 1/3 y)
(*.f64 y 1/3)
(*.f64 1/3 y)
(*.f64 y 1/3)
(*.f64 1/3 y)
(*.f64 y 1/3)
(*.f64 1/3 y)
(*.f64 y 1/3)
(*.f64 1/3 y)
(*.f64 y 1/3)
(*.f64 1/3 y)
(*.f64 y 1/3)
(*.f64 1/3 y)
(*.f64 y 1/3)
(*.f64 1/3 y)
(*.f64 y 1/3)

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 3 (/.f64 y x))
0.2b
(/.f64 x (*.f64 3 (/.f64 y x)))
✓0.2b
(/.f64 x (*.f64 3 (/.f64 y x)))
✓0.3b
(*.f64 3 (/.f64 y x))

series15.0ms (0.2%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
10.0ms
y
@inf
(*.f64 3 (/.f64 y x))
1.0ms
y
@0
(*.f64 3 (/.f64 y x))
1.0ms
x
@0
(*.f64 3 (/.f64 y x))
1.0ms
y
@-inf
(*.f64 3 (/.f64 y x))
1.0ms
x
@-inf
(*.f64 3 (/.f64 y x))

rewrite64.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
870×pow1_binary64
811×add-log-exp_binary64
811×log1p-expm1-u_binary64
811×expm1-log1p-u_binary64
795×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115417
2214217
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(*.f64 3 (/.f64 y x))
(/.f64 x (*.f64 3 (/.f64 y x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 3 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (/.f64 y x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1/3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 2) (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1/3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) (sqrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1/3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 (/.f64 y x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 x (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 (cbrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 3) (/.f64 (sqrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (/.f64 y x)) (/.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y x)) (/.f64 (cbrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 3 (/.f64 y x))) 2)) (/.f64 x (cbrt.f64 (*.f64 3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 3 (/.f64 y x))) 2)) (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 3 (/.f64 y x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 3 (/.f64 y x)))) (/.f64 x (sqrt.f64 (*.f64 3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 3 (/.f64 y x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 3 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 y) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 (/.f64 y x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 3 (/.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))))))

simplify105.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
705×associate-/l/_binary64
636×sqr-pow_binary64
589×*-commutative_binary64
498×associate-*l*_binary64
437×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08240
116240
231240
362240
4167240
5588240
62447240
73516240
83724240
93943240
104171240
114503240
126038240
136702240
147490240
Stop Event
1×node limit
Counts
86 → 64
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
Outputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite60.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
834×pow1_binary64
776×add-log-exp_binary64
776×log1p-expm1-u_binary64
776×expm1-log1p-u_binary64
760×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115317
2209317
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 x (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y x) (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 x)) (neg.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1/3) (neg.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (neg.f64 x)) (neg.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2) (cbrt.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) (sqrt.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 x (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 x (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))))))

simplify118.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
705×associate-/l/_binary64
636×sqr-pow_binary64
589×*-commutative_binary64
498×associate-*l*_binary64
437×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08408
116408
231408
362408
4167408
5588408
62447408
73516408
83724408
93943408
104171408
114503408
126038408
136702408
147490408
Stop Event
1×node limit
Counts
108 → 63
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
Outputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))

eval152.0ms (2.1%)

Compiler

Compiled 5603 to 3322 computations (40.7% saved)

prune67.0ms (0.9%)

Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New3617368
Fresh347
Picked011
Done279
Total36619385
Error
0b
Counts
385 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
61.4b
(/.f64 x (*.f64 y -3/4))
✓24.3b
(/.f64 1/3 (*.f64 y 1/3))
38.6b
(/.f64 x (/.f64 (*.f64 3 y) x))
61.4b
(*.f64 -4/3 (/.f64 x y))
61.4b
(/.f64 (*.f64 -4/3 x) y)
43.5b
(*.f64 (/.f64 (*.f64 (-.f64 x 4) x) y) 1/3)
✓38.6b
(*.f64 1/3 (/.f64 x (/.f64 y x)))
24.4b
(/.f64 (-.f64 1 x) y)
24.2b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
✓61.4b
(*.f64 x (/.f64 -4/3 y))
✓0.4b
(*.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))
✓38.0b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
38.3b
(/.f64 (*.f64 1/3 x) (/.f64 y x))
43.5b
(/.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) y)
38.3b
(/.f64 x (/.f64 3 (/.f64 x y)))
✓38.5b
(*.f64 x (/.f64 x (*.f64 y 3)))
38.6b
(*.f64 1/3 (*.f64 x (/.f64 x y)))
✓24.1b
(/.f64 1 y)
✓24.4b
(*.f64 (/.f64 3 y) 1/3)
Compiler

Compiled 165 to 119 computations (27.9% saved)

regimes124.0ms (1.7%)

Counts
37 → 1
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(*.f64 -4/3 (/.f64 x y))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 -4/3 (/.f64 x y))
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(*.f64 x (/.f64 -4/3 y))
(*.f64 (/.f64 3 y) 1/3)
(/.f64 x (/.f64 (*.f64 3 y) x))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 x (/.f64 3 (/.f64 x y)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (/.f64 (*.f64 x x) 3) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 x (*.f64 3 (/.f64 y x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 x (/.f64 x (*.f64 y 3)))
(*.f64 (*.f64 x (/.f64 x y)) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 (/.f64 (-.f64 3 x) y) 1/3)
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 x (*.f64 (/.f64 x y) 1/3))
(/.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) y)
(*.f64 (/.f64 (*.f64 (-.f64 x 4) x) y) 1/3)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
(*.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) 1/3)
(*.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
(*.f64 (/.f64 1 y) (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
Outputs
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
Calls

7 calls:

27.0ms
(*.f64 y 3)
21.0ms
(*.f64 y 3)
18.0ms
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
17.0ms
x
17.0ms
y
Results
ErrorSegmentsBranch
0.2b1x
0.2b1y
0.2b1(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
0.2b1(*.f64 (-.f64 1 x) (-.f64 3 x))
0.2b1(*.f64 (-.f64 1 x) (-.f64 3 x))
0.2b1(*.f64 y 3)
0.2b1(*.f64 y 3)
Compiler

Compiled 335 to 210 computations (37.3% saved)

regimes250.0ms (3.4%)

Counts
30 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(*.f64 -4/3 (/.f64 x y))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 -4/3 (/.f64 x y))
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(*.f64 x (/.f64 -4/3 y))
(*.f64 (/.f64 3 y) 1/3)
(/.f64 x (/.f64 (*.f64 3 y) x))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 x (/.f64 3 (/.f64 x y)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (/.f64 (*.f64 x x) 3) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 x (*.f64 3 (/.f64 y x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 x (/.f64 x (*.f64 y 3)))
(*.f64 (*.f64 x (/.f64 x y)) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 (/.f64 (-.f64 3 x) y) 1/3)
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 x (*.f64 (/.f64 x y) 1/3))
(/.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) y)
(*.f64 (/.f64 (*.f64 (-.f64 x 4) x) y) 1/3)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
Outputs
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
Calls

3 calls:

106.0ms
(*.f64 y 3)
98.0ms
y
39.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
17.2b7y
17.2b7(*.f64 y 3)
Compiler

Compiled 213 to 119 computations (44.1% saved)

bsearch40.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
0.052238416830708456
1350.4956248372353
19.0ms
-2779.5202706725067
-6.191024667866739e-14
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes250.0ms (3.4%)

Counts
29 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(*.f64 -4/3 (/.f64 x y))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 -4/3 (/.f64 x y))
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(*.f64 x (/.f64 -4/3 y))
(*.f64 (/.f64 3 y) 1/3)
(/.f64 x (/.f64 (*.f64 3 y) x))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 x (/.f64 3 (/.f64 x y)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (/.f64 (*.f64 x x) 3) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 x (*.f64 3 (/.f64 y x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 x (/.f64 x (*.f64 y 3)))
(*.f64 (*.f64 x (/.f64 x y)) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 (/.f64 (-.f64 3 x) y) 1/3)
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 x (*.f64 (/.f64 x y) 1/3))
(/.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) y)
(*.f64 (/.f64 (*.f64 (-.f64 x 4) x) y) 1/3)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
Outputs
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(/.f64 (-.f64 1 x) y)
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
Calls

3 calls:

107.0ms
(*.f64 y 3)
99.0ms
y
38.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
17.2b7y
17.2b7(*.f64 y 3)
Compiler

Compiled 204 to 114 computations (44.1% saved)

bsearch38.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.052238416830708456
1350.4956248372353
19.0ms
-2779.5202706725067
-6.191024667866739e-14
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes386.0ms (5.2%)

Counts
28 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(*.f64 -4/3 (/.f64 x y))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 -4/3 (/.f64 x y))
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(*.f64 x (/.f64 -4/3 y))
(*.f64 (/.f64 3 y) 1/3)
(/.f64 x (/.f64 (*.f64 3 y) x))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 x (/.f64 3 (/.f64 x y)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (/.f64 (*.f64 x x) 3) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 x (*.f64 3 (/.f64 y x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 x (/.f64 x (*.f64 y 3)))
(*.f64 (*.f64 x (/.f64 x y)) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 (/.f64 (-.f64 3 x) y) 1/3)
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 x (*.f64 (/.f64 x y) 1/3))
(/.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) y)
(*.f64 (/.f64 (*.f64 (-.f64 x 4) x) y) 1/3)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
Outputs
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
(/.f64 (-.f64 1 x) y)
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
Calls

3 calls:

174.0ms
y
113.0ms
x
91.0ms
(*.f64 y 3)
Results
ErrorSegmentsBranch
1.3b3x
17.4b7y
17.4b7(*.f64 y 3)
Compiler

Compiled 195 to 109 computations (44.1% saved)

bsearch60.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
40.0ms
0.052238416830708456
1350.4956248372353
20.0ms
-2779.5202706725067
-6.191024667866739e-14
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes310.0ms (4.2%)

Counts
27 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(*.f64 -4/3 (/.f64 x y))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 -4/3 (/.f64 x y))
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(*.f64 x (/.f64 -4/3 y))
(*.f64 (/.f64 3 y) 1/3)
(/.f64 x (/.f64 (*.f64 3 y) x))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 x (/.f64 3 (/.f64 x y)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (/.f64 (*.f64 x x) 3) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 x (*.f64 3 (/.f64 y x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 x (/.f64 x (*.f64 y 3)))
(*.f64 (*.f64 x (/.f64 x y)) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 (/.f64 (-.f64 3 x) y) 1/3)
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 x (*.f64 (/.f64 x y) 1/3))
(/.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) y)
(*.f64 (/.f64 (*.f64 (-.f64 x 4) x) y) 1/3)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
Outputs
(/.f64 x (/.f64 3 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(/.f64 x (*.f64 3 (/.f64 y x)))
Calls

3 calls:

147.0ms
y
119.0ms
(*.f64 y 3)
38.0ms
x
Results
ErrorSegmentsBranch
1.6b3x
17.5b7y
17.5b7(*.f64 y 3)
Compiler

Compiled 186 to 104 computations (44.1% saved)

bsearch40.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
0.052238416830708456
1350.4956248372353
19.0ms
-2779.5202706725067
-6.191024667866739e-14
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes98.0ms (1.3%)

Counts
16 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(*.f64 -4/3 (/.f64 x y))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 -4/3 (/.f64 x y))
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(*.f64 x (/.f64 -4/3 y))
(*.f64 (/.f64 3 y) 1/3)
(/.f64 x (/.f64 (*.f64 3 y) x))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 x (/.f64 3 (/.f64 x y)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (/.f64 (*.f64 x x) 3) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
Outputs
(/.f64 x (/.f64 3 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 1/3 (*.f64 x (/.f64 x y)))
Calls

2 calls:

71.0ms
y
23.0ms
x
Results
ErrorSegmentsBranch
1.6b3x
17.5b7y
Compiler

Compiled 98 to 56 computations (42.9% saved)

bsearch41.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.052238416830708456
1350.4956248372353
21.0ms
-2779.5202706725067
-6.191024667866739e-14
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes77.0ms (1%)

Counts
13 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(*.f64 -4/3 (/.f64 x y))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 -4/3 (/.f64 x y))
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(*.f64 x (/.f64 -4/3 y))
(*.f64 (/.f64 3 y) 1/3)
(/.f64 x (/.f64 (*.f64 3 y) x))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 x (/.f64 3 (/.f64 x y)))
Outputs
(/.f64 x (/.f64 3 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(/.f64 x (/.f64 3 (/.f64 x y)))
Calls

2 calls:

54.0ms
y
20.0ms
x
Results
ErrorSegmentsBranch
1.6b3x
17.5b7y
Compiler

Compiled 77 to 46 computations (40.3% saved)

bsearch47.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.052238416830708456
1350.4956248372353
27.0ms
-2779.5202706725067
-6.191024667866739e-14
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes76.0ms (1%)

Counts
12 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(*.f64 -4/3 (/.f64 x y))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 -4/3 (/.f64 x y))
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(*.f64 x (/.f64 -4/3 y))
(*.f64 (/.f64 3 y) 1/3)
(/.f64 x (/.f64 (*.f64 3 y) x))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
Outputs
(/.f64 x (/.f64 (*.f64 3 y) x))
(/.f64 (-.f64 1 x) y)
(/.f64 (*.f64 1/3 x) (/.f64 y x))
Calls

2 calls:

53.0ms
y
20.0ms
x
Results
ErrorSegmentsBranch
1.6b3x
17.5b7y
Compiler

Compiled 70 to 43 computations (38.6% saved)

bsearch38.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.052238416830708456
1350.4956248372353
19.0ms
-2779.5202706725067
-6.191024667866739e-14
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes273.0ms (3.7%)

Counts
11 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(*.f64 -4/3 (/.f64 x y))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 -4/3 (/.f64 x y))
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(*.f64 x (/.f64 -4/3 y))
(*.f64 (/.f64 3 y) 1/3)
(/.f64 x (/.f64 (*.f64 3 y) x))
Outputs
(/.f64 x (/.f64 (*.f64 3 y) x))
(/.f64 (-.f64 1 x) y)
(/.f64 x (/.f64 (*.f64 3 y) x))
Calls

2 calls:

105.0ms
x
50.0ms
y
Results
ErrorSegmentsBranch
1.9b3x
17.8b7y
Compiler

Compiled 63 to 39 computations (38.1% saved)

bsearch39.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.052238416830708456
1350.4956248372353
19.0ms
-2779.5202706725067
-6.191024667866739e-14
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes34.0ms (0.5%)

Accuracy

Total -37.4b remaining (-155.1%)

Threshold costs -37.4b (-155.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(*.f64 -4/3 (/.f64 x y))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 -4/3 (/.f64 x y))
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(*.f64 x (/.f64 -4/3 y))
(*.f64 (/.f64 3 y) 1/3)
Outputs
(/.f64 1 y)
Calls

2 calls:

25.0ms
y
6.0ms
x
Results
ErrorSegmentsBranch
24.1b1x
24.1b1y
Compiler

Compiled 56 to 35 computations (37.5% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
6×+-commutative_binary64
3×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056356
173356
278356
380356
481356
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
(if (<=.f64 x -764028714310879/274877906944) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) (if (<=.f64 x 963628706091840512/18446744073709551616) (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)))
(if (<=.f64 x -764028714310879/274877906944) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)))
(if (<=.f64 x -764028714310879/274877906944) (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 3 (/.f64 x y))) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 x (*.f64 3 (/.f64 y x)))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 3 (/.f64 x y))) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 1/3 (*.f64 x (/.f64 x y)))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 3 (/.f64 x y))) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 x (/.f64 3 (/.f64 x y)))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 (*.f64 3 y) x)) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 (*.f64 1/3 x) (/.f64 y x))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 (*.f64 3 y) x)) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 x (/.f64 (*.f64 3 y) x))))
(/.f64 1 y)
Outputs
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
(if (<=.f64 x -764028714310879/274877906944) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) (if (<=.f64 x 963628706091840512/18446744073709551616) (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)))
(if (<=.f64 x -764028714310879/274877906944) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) (if (<=.f64 x 941043658292813/18014398509481984) (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3)) (*.f64 1/3 (*.f64 (/.f64 x y) (+.f64 x -4)))))
(if (<=.f64 x -764028714310879/274877906944) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)))
(if (<=.f64 x -764028714310879/274877906944) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) (if (<=.f64 x 941043658292813/18014398509481984) (/.f64 (-.f64 1 x) y) (*.f64 1/3 (*.f64 (/.f64 x y) (+.f64 x -4)))))
(if (<=.f64 x -764028714310879/274877906944) (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3)))
(if (<=.f64 x -764028714310879/274877906944) (*.f64 1/3 (*.f64 (/.f64 x y) (+.f64 x -4))) (if (<=.f64 x 941043658292813/18014398509481984) (/.f64 (-.f64 1 x) y) (*.f64 1/3 (*.f64 (/.f64 x y) (+.f64 x -4)))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 3 (/.f64 x y))) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 x (*.f64 3 (/.f64 y x)))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 3 (/.f64 x y))) (if (<=.f64 x 941043658292813/18014398509481984) (/.f64 (-.f64 1 x) y) (/.f64 x (*.f64 3 (/.f64 y x)))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 3 (/.f64 x y))) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 1/3 (*.f64 x (/.f64 x y)))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 3 (/.f64 x y))) (if (<=.f64 x 941043658292813/18014398509481984) (/.f64 (-.f64 1 x) y) (*.f64 1/3 (*.f64 x (/.f64 x y)))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 3 (/.f64 x y))) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 x (/.f64 3 (/.f64 x y)))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 3 (/.f64 x y))) (if (<=.f64 x 941043658292813/18014398509481984) (/.f64 (-.f64 1 x) y) (/.f64 x (/.f64 3 (/.f64 x y)))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 (*.f64 3 y) x)) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 (*.f64 1/3 x) (/.f64 y x))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 (*.f64 3 y) x)) (if (<=.f64 x 941043658292813/18014398509481984) (/.f64 (-.f64 1 x) y) (/.f64 (*.f64 x 1/3) (/.f64 y x))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 (*.f64 3 y) x)) (if (<=.f64 x 963628706091840512/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 x (/.f64 (*.f64 3 y) x))))
(if (<=.f64 x -764028714310879/274877906944) (/.f64 x (/.f64 (*.f64 3 y) x)) (if (<=.f64 x 941043658292813/18014398509481984) (/.f64 (-.f64 1 x) y) (/.f64 x (/.f64 (*.f64 3 y) x))))
(/.f64 1 y)

end153.0ms (2.1%)

Stop Event
1×fuel
Compiler

Compiled 514 to 326 computations (36.6% saved)

Profiling

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