Details

Time bar (total: 11.9s)

analyze144.0ms (1.2%)

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)

sample1.2s (9.9%)

Results
1.1s8256×body256valid
72.0ms626×body256invalid

preprocess85.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
620×fma-def_binary64
612×fma-neg_binary64
500×div-sub_binary64
478×distribute-rgt-in_binary64
460×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
14132
213332
339332
4140532
5645032
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 3 x) (/.f64 3 (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y)))
(/.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 3 y) x) (/.f64 (-.f64 1 y) 3))
(*.f64 (/.f64 (-.f64 3 y) x) (-.f64 1/3 (/.f64 y 3)))
(*.f64 (-.f64 1 y) (*.f64 (-.f64 3 y) (/.f64 1/3 x)))
(*.f64 (-.f64 1 y) (/.f64 (-.f64 3 y) (*.f64 x 3)))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify96.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
420×unsub-neg_binary64
339×associate-/l*_binary64
308×fma-def_binary64
306×fma-neg_binary64
295×associate-*l/_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01016
12416
27116
320416
473216
5332314
6793514
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) y) (-.f64 1 (/.f64 x 3)))
(*.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)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
6.4b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶6.5b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
▶6.7b
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
Compiler

Compiled 25 to 19 computations (24% saved)

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x (+.f64 x -4) 3)
✓0.4b
(/.f64 1/3 y)
✓6.1b
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
Compiler

Compiled 29 to 20 computations (31% saved)

series14.0ms (0.1%)

Counts
3 → 36
Calls

12 calls:

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

rewrite129.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
554×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
01026
122126
2270826
Stop Event
1×node limit
Counts
3 → 124
Calls
Call 1
Inputs
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(/.f64 1/3 y)
(fma.f64 x (+.f64 x -4) 3)
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 expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(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 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 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 +.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)) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 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 log1p.f64 (expm1.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))))))
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simplify145.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1086×fma-def_binary64
503×distribute-neg-frac_binary64
360×associate-/l*_binary64
351×*-commutative_binary64
341×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028583
160559
2113523
3207523
4493346
51527346
63861346
75689346
85909346
96197346
106540346
117340346
Stop Event
1×node limit
Counts
160 → 143
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))
3
(+.f64 3 (*.f64 -4 x))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
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 (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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 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 (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 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 (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.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 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
3
(+.f64 3 (*.f64 -4 x))
(+.f64 3 (*.f64 x -4))
(fma.f64 x -4 3)
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(fma.f64 x (+.f64 x -4) 3)
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(fma.f64 x (+.f64 x -4) 3)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(fma.f64 x (+.f64 x -4) 3)
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(fma.f64 x (+.f64 x -4) 3)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(fma.f64 x (+.f64 x -4) 3)
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(fma.f64 x (+.f64 x -4) 3)

localize30.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 x) (-.f64 3 x))
✓6.1b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series7.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@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
@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))

rewrite114.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
122426
2328526
Stop Event
1×node limit
Counts
2 → 114
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
(*.f64 (-.f64 1 x) (-.f64 3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 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 1 x) (/.f64 y (-.f64 3 x)))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 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 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 x) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 x) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (-.f64 1 x)) (*.f64 (neg.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) 3) (*.f64 (-.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify115.0ms (1%)

Algorithm
1×egg-herbie
Rules
806×fma-def_binary64
776×unsub-neg_binary64
343×distribute-rgt-neg-out_binary64
334×distribute-neg-out_binary64
315×distribute-rgt-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027499
160487
2136463
3366463
41225419
54734419
Stop Event
1×node limit
Counts
150 → 134
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))
3
(+.f64 3 (*.f64 -4 x))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
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 -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 -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 -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 -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 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 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 -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 -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 -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 -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 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 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 -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 -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 -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 -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 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) 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 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) 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 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) 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 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) 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 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) 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 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) 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 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) 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 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) 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 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) 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 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) 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 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) 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 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
3
(+.f64 3 (*.f64 -4 x))
(+.f64 3 (*.f64 x -4))
(fma.f64 x -4 3)
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(+.f64 3 (*.f64 x (+.f64 x -4)))
(fma.f64 x (+.f64 x -4) 3)
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(+.f64 3 (*.f64 x (+.f64 x -4)))
(fma.f64 x (+.f64 x -4) 3)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(+.f64 3 (*.f64 x (+.f64 x -4)))
(fma.f64 x (+.f64 x -4) 3)
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(+.f64 3 (*.f64 x (+.f64 x -4)))
(fma.f64 x (+.f64 x -4) 3)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(+.f64 3 (*.f64 x (+.f64 x -4)))
(fma.f64 x (+.f64 x -4) 3)
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(+.f64 3 (*.f64 x (+.f64 x -4)))
(fma.f64 x (+.f64 x -4) 3)

eval193.0ms (1.6%)

Compiler

Compiled 4314 to 3234 computations (25% saved)

prune96.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New26215277
Fresh000
Picked101
Done101
Total26415279
Error
0b
Counts
279 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
6.5b
(*.f64 (fma.f64 x (+.f64 x -4) 3) (*.f64 (/.f64 1 y) 1/3))
▶42.3b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
▶20.8b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
▶0.2b
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
48.5b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
▶21.0b
(/.f64 1 y)
21.2b
(*.f64 3 (/.f64 1/3 y))
0.4b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
48.5b
(/.f64 (*.f64 x x) (*.f64 y 3))
0.4b
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))
0.4b
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)
20.6b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
48.3b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
▶42.1b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
21.1b
(/.f64 3 (*.f64 y 3))
Compiler

Compiled 316 to 240 computations (24.1% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 46 to 33 computations (28.3% saved)

series29.0ms (0.2%)

Counts
4 → 72
Calls

24 calls:

TimeVariablePointExpression
4.0ms
y
@0
(*.f64 3 (/.f64 y (-.f64 3 x)))
2.0ms
x
@0
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
2.0ms
y
@0
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
2.0ms
y
@inf
(*.f64 3 (/.f64 y (-.f64 3 x)))
2.0ms
y
@inf
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))

rewrite131.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
625×log-prod_binary64
320×pow2_binary64
223×pow1/3_binary64
220×pow-unpow_binary64
220×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
125143
2349843
Stop Event
1×node limit
Counts
4 → 206
Calls
Call 1
Inputs
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
(/.f64 y (-.f64 3 x))
Outputs
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simplify118.0ms (1%)

Algorithm
1×egg-herbie
Rules
482×associate-*l*_binary64
377×fma-def_binary64
363×associate-*r*_binary64
357×cancel-sign-sub-inv_binary64
246×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0821101
12241097
25811028
318041005
457561001
Stop Event
1×node limit
Counts
278 → 253
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))
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(+.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)
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(*.f64 -1/3 (/.f64 x y))
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(*.f64 -1/3 (/.f64 x y))
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(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(/.f64 1 y)
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(+.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 1/3 y)
(+.f64 (*.f64 1/9 (*.f64 y x)) (*.f64 1/3 y))
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 y)))
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 1/3 y) (*.f64 1/81 (*.f64 y (pow.f64 x 3))))))
(*.f64 -1 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
Outputs
y
(+.f64 y (*.f64 1/3 (*.f64 y x)))
(fma.f64 1/3 (*.f64 y x) 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 (fma.f64 1/3 (*.f64 y x) y) (*.f64 (*.f64 x x) (*.f64 y 1/9)))
(+.f64 y (*.f64 x (*.f64 y (+.f64 1/3 (*.f64 x 1/9)))))
(+.f64 y (*.f64 y (*.f64 x (+.f64 1/3 (*.f64 x 1/9)))))
(+.f64 y (*.f64 (*.f64 y x) (+.f64 1/3 (*.f64 x 1/9))))
(+.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)))))
(+.f64 (*.f64 x (*.f64 y (+.f64 1/3 (*.f64 x 1/9)))) (fma.f64 y (*.f64 1/27 (pow.f64 x 3)) y))
(+.f64 y (*.f64 x (*.f64 y (+.f64 1/3 (*.f64 x (+.f64 1/9 (*.f64 x 1/27)))))))
(*.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 -9 (/.f64 y (*.f64 x x)) (*.f64 -3 (/.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 -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 (*.f64 -81 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)))))
(+.f64 (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 -81 x) -27)))
(+.f64 (*.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 -9 (/.f64 y (*.f64 x x)) (*.f64 -3 (/.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 -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 (*.f64 -81 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)))))
(+.f64 (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 -81 x) -27)))
(+.f64 (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -27 (/.f64 -81 x))))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(/.f64 1 y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 -1/3 (/.f64 x y))
(/.f64 -1/3 (/.f64 y x))
(*.f64 x (/.f64 -1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
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(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
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(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 -1/3 (/.f64 x y))
(/.f64 -1/3 (/.f64 y x))
(*.f64 x (/.f64 -1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (/.f64 (*.f64 -4/3 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 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(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 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(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 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 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 x y) -4/3))
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 (/.f64 1/3 y) 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 (*.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(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 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(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 x (*.f64 (/.f64 1/3 y) x))
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(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 x y) -4/3))
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 (/.f64 1/3 y) x)))
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(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))))
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(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(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)))
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(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
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(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
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(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
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(*.f64 (*.f64 (-.f64 3 x) (/.f64 1/3 y)) (-.f64 1 x))
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(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 (*.f64 (-.f64 3 x) (/.f64 1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 (*.f64 (-.f64 3 x) (/.f64 1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 (*.f64 (-.f64 3 x) (/.f64 1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 (*.f64 (-.f64 3 x) (/.f64 1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 (*.f64 (-.f64 3 x) (/.f64 1/3 y)) (-.f64 1 x))
(*.f64 1/3 y)
(*.f64 y 1/3)
(+.f64 (*.f64 1/9 (*.f64 y x)) (*.f64 1/3 y))
(fma.f64 1/9 (*.f64 y x) (*.f64 y 1/3))
(fma.f64 y 1/3 (*.f64 y (*.f64 x 1/9)))
(*.f64 y (+.f64 1/3 (*.f64 x 1/9)))
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 y)))
(fma.f64 1/9 (*.f64 y x) (fma.f64 1/27 (*.f64 y (*.f64 x x)) (*.f64 y 1/3)))
(fma.f64 (*.f64 y x) 1/9 (fma.f64 (*.f64 y 1/27) (*.f64 x x) (*.f64 y 1/3)))
(fma.f64 y 1/3 (*.f64 x (+.f64 (*.f64 y 1/9) (*.f64 y (*.f64 1/27 x)))))
(*.f64 y (+.f64 1/3 (*.f64 x (+.f64 1/9 (*.f64 x 1/27)))))
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 1/3 y) (*.f64 1/81 (*.f64 y (pow.f64 x 3))))))
(fma.f64 1/9 (*.f64 y x) (fma.f64 1/27 (*.f64 y (*.f64 x x)) (fma.f64 1/3 y (*.f64 (*.f64 y (pow.f64 x 3)) 1/81))))
(fma.f64 (*.f64 y x) 1/9 (fma.f64 (*.f64 y (*.f64 x x)) 1/27 (fma.f64 (*.f64 y 1/81) (pow.f64 x 3) (*.f64 y 1/3))))
(fma.f64 y (*.f64 x (*.f64 x 1/27)) (fma.f64 y (*.f64 x 1/9) (*.f64 y (+.f64 1/3 (*.f64 (pow.f64 x 3) 1/81)))))
(*.f64 y (+.f64 (+.f64 1/3 (*.f64 x 1/9)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/81) 1/27))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(fma.f64 -3 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 y x)))
(-.f64 (*.f64 -3 (/.f64 y (*.f64 x x))) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x)))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x))
(-.f64 (/.f64 (*.f64 y (+.f64 -3 (/.f64 -9 x))) (*.f64 x x)) (/.f64 y x))
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x)))
(+.f64 (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -9 (/.f64 -27 x))) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x))))
(fma.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -9 (/.f64 -27 x)) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(fma.f64 -3 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 y x)))
(-.f64 (*.f64 -3 (/.f64 y (*.f64 x x))) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x)))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x))
(-.f64 (/.f64 (*.f64 y (+.f64 -3 (/.f64 -9 x))) (*.f64 x x)) (/.f64 y x))
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x)))
(+.f64 (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -9 (/.f64 -27 x))) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x))))
(fma.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -9 (/.f64 -27 x)) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x))))

localize7.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series20.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(*.f64 x (/.f64 1/3 y))
2.0ms
y
@0
(*.f64 x (*.f64 x (/.f64 1/3 y)))
1.0ms
x
@0
(*.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)))

rewrite91.0ms (0.8%)

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
2184117
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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.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)))))))))

simplify191.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1371×associate-*l/_binary64
1103×associate-*r/_binary64
349×sqr-pow_binary64
314×*-commutative_binary64
243×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010408
121408
238408
370408
4192408
5687408
61820408
72839408
82949408
93090408
103268408
113542408
123870408
135354408
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 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.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 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))

localize72.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiled 26 to 16 computations (38.5% saved)

series12.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

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

rewrite120.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0924
120520
2288020
Stop Event
1×node limit
Counts
3 → 153
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(*.f64 x 1/3)
(+.f64 -4/3 (*.f64 x 1/3))
Outputs
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(/.f64 x y) -4/3))))))
((#(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 (pow.f64 (*.f64 x 1/3) 2) 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 (pow.f64 (*.f64 x 1/3) 2))))) (#(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 log1p.f64 (expm1.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 -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/3 -4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/9 (+.f64 -4/3 (*.f64 -1/3 x))) (/.f64 (pow.f64 (*.f64 x 1/3) 2) (+.f64 -4/3 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/3 -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/3 -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/3 -4/3)) (pow.f64 (cbrt.f64 (fma.f64 x 1/3 -4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/3 -4/3)) 2) (cbrt.f64 (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/3 -4/3)) (sqrt.f64 (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 1/27 -64/27) (/.f64 1 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/9 (pow.f64 (*.f64 x 1/3) 2)) (/.f64 1 (+.f64 -4/3 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9) (fma.f64 (pow.f64 x 3) 1/27 -64/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -4/3 (*.f64 -1/3 x)) (-.f64 16/9 (pow.f64 (*.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/27 -64/27) (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/27 -64/27) (fma.f64 (*.f64 x x) 1/9 (-.f64 16/9 (*.f64 -4/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/9 (pow.f64 (*.f64 x 1/3) 2)) (+.f64 -4/3 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/27 -64/27)) (neg.f64 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/9 (pow.f64 (*.f64 x 1/3) 2))) (neg.f64 (+.f64 -4/3 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) 1/9 -16/9) (fma.f64 x 1/3 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/3 -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/3 -4/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/3 -4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/3 -4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/3 -4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9) (fma.f64 (pow.f64 x 3) 1/27 -64/27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -4/3 (*.f64 -1/3 x)) (-.f64 16/9 (pow.f64 (*.f64 x 1/3) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/3 -4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/3 -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/3 -4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/3 -4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 1/3 -4/3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/3 -4/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/3 -4/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 1/3 -4/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/3) 1 -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/3) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (pow.f64 (*.f64 x 1/3) 2)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/3) 2)) (cbrt.f64 (*.f64 x 1/3)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) -4/3)))))

simplify102.0ms (0.9%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
017486
137486
270486
3136360
4372360
51321360
63698360
77073360
Stop Event
1×node limit
Counts
201 → 164
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 (*.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)
(*.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)
-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 -4/3 (/.f64 x y))
(/.f64 (*.f64 -4/3 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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) 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 (/.f64 x y) (*.f64 x 1/3))
(/.f64 (*.f64 x x) (/.f64 y 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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) 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 (/.f64 x y) (*.f64 x 1/3))
(/.f64 (*.f64 x x) (/.f64 y 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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(/.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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(/.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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(/.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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(/.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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(/.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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(/.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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(/.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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(/.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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(/.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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(/.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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(/.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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(/.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 -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)))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
-4/3
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(fma.f64 x 1/3 -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(fma.f64 x 1/3 -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(fma.f64 x 1/3 -4/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(fma.f64 x 1/3 -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(fma.f64 x 1/3 -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(fma.f64 x 1/3 -4/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(fma.f64 x 1/3 -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(fma.f64 x 1/3 -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(fma.f64 x 1/3 -4/3)

localize24.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 26 to 19 computations (26.9% saved)

series8.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite113.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
494×log-prod_binary64
386×exp-prod_binary64
292×prod-exp_binary64
258×pow-prod-down_binary64
258×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
119811
2265411
Stop Event
1×node limit
Counts
1 → 59
Calls
Call 1
Inputs
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -4 x 3) y)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -4 x 3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -4 x 3) y))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -4 x 3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -4 x 3) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 -4 x 3) y) 2) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 -4 x 3) y) 2) 9)) (cbrt.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -4 x 3)) 2) (*.f64 (cbrt.f64 (fma.f64 -4 x 3)) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y))) (sqrt.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -4 x 3)) (*.f64 (sqrt.f64 (fma.f64 -4 x 3)) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 -4 x 3)) (/.f64 1 (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) (fma.f64 -4 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -4 x 3) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (fma.f64 -4 x 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 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neg.f64 (/.f64 (fma.f64 -4 x 3) (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 -4 x 3) y) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -4 x 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 -4 x 3) 3) (pow.f64 (*.f64 3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (/.f64 y (fma.f64 -4 x 3)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -4 x 3) (/.f64 1/3 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 -4 x 3)) 1) (log.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 -4 x 3)) (*.f64 (log.f64 (*.f64 3 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 -4 x 3)) 1) (*.f64 (log.f64 (*.f64 3 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 -4 x 3)) 1) (log.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 1/3 y)) (*.f64 (log.f64 (fma.f64 -4 x 3)) 1)))))))

simplify44.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
29×fma-def_binary64
17×associate-/r/_binary64
16×*-commutative_binary64
16×associate-/l*_binary64
8×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
016291
127249
247249
364249
490186
5124186
6151186
7163186
8167186
Stop Event
1×saturated
Counts
83 → 64
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 -4/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 -4/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 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 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -4/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -4/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 1/3 (/.f64 (+.f64 3 (*.f64 -4 x)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)

eval324.0ms (2.7%)

Compiler

Compiled 8634 to 6132 computations (29% saved)

prune159.0ms (1.3%)

Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New56012572
Fresh5510
Picked011
Done134
Total56621587
Error
0b
Counts
587 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
✓42.3b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
61.2b
(*.f64 (/.f64 x y) -4/3)
48.5b
(/.f64 (*.f64 (*.f64 x 1/3) x) y)
61.2b
(/.f64 (*.f64 -4/3 x) y)
▶0.2b
(/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))
✓20.8b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
▶21.0b
(*.f64 (-.f64 1 x) (/.f64 1 y))
48.5b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
✓21.0b
(/.f64 1 y)
0.4b
(/.f64 (/.f64 (-.f64 1 x) 3) (/.f64 y (-.f64 3 x)))
21.1b
(/.f64 3 (*.f64 y 3))
▶42.3b
(*.f64 x (*.f64 1/3 (/.f64 x y)))
48.5b
(/.f64 (*.f64 x x) (*.f64 y 3))
42.3b
(*.f64 x (/.f64 (*.f64 x 1/3) y))
20.6b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
42.3b
(*.f64 x (/.f64 x (*.f64 y 3)))
48.3b
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
▶48.3b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
▶21.2b
(*.f64 3 (/.f64 1/3 y))
✓42.1b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
Compiler

Compiled 362 to 265 computations (26.8% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 33 to 23 computations (30.3% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite509.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
658×prod-diff_binary64
644×log-prod_binary64
417×egg-rr
234×log-div_binary64
214×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
122926
2344226
Stop Event
1×node limit
Counts
2 → 467
Calls
Call 1
Inputs
(/.f64 (*.f64 3 y) (-.f64 3 x))
(/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 3 (-.f64 3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 y (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 1 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 y (/.f64 1 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 3 (/.f64 1 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 y) (/.f64 1 (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 3 (-.f64 3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y)) 2) (cbrt.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) (/.f64 1 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y)) (sqrt.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) (/.f64 1 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -3) (/.f64 1 (neg.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 3 x)) (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 3 (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (-.f64 3 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 3 y)) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) 1) (/.f64 (sqrt.f64 (*.f64 3 y)) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (/.f64 y (cbrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (/.f64 3 (cbrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (/.f64 (*.f64 3 y) (cbrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (cbrt.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (/.f64 (sqrt.f64 (*.f64 3 y)) (cbrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (sqrt.f64 (-.f64 3 x))) (/.f64 y (sqrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (-.f64 3 x))) (/.f64 3 (sqrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 3 x))) (/.f64 (*.f64 3 y) (sqrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (sqrt.f64 (-.f64 3 x))) (/.f64 (cbrt.f64 (*.f64 3 y)) (sqrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3 y) (-.f64 27 (pow.f64 x 3))) (fma.f64 x (+.f64 3 x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3 y) (-.f64 9 (*.f64 x x))) (+.f64 3 x))))) (#(struct:change #<rule 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simplify78.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
784×fma-def_binary64
557×associate-/l/_binary64
479×distribute-lft-out_binary64
388×distribute-rgt-in_binary64
356×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058758
1148754
2370714
31142694
44332674
Stop Event
1×node limit
Counts
515 → 494
Calls
Call 1
Inputs
(*.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)))
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 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 3 (/.f64 y (-.f64 3 x)))
(/.f64 (*.f64 3 y) (-.f64 3 x))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 (*.f64 3 y) (-.f64 3 x))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 (*.f64 3 y) (-.f64 3 x))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 (*.f64 3 y) (-.f64 3 x))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 (*.f64 3 y) (-.f64 3 x))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 (*.f64 3 y) (-.f64 3 x))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 (*.f64 3 y) (-.f64 3 x))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 (*.f64 3 y) (-.f64 3 x))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 (*.f64 3 y) (-.f64 3 x))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 (*.f64 3 y) (-.f64 3 x))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 (*.f64 3 y) (-.f64 3 x))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 (*.f64 3 y) (-.f64 3 x))
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 x 1/3) y)
(*.f64 y (fma.f64 x 1/3 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 (fma.f64 (*.f64 y 1/3) x y) (*.f64 (*.f64 x x) (*.f64 y 1/9)))
(fma.f64 y (*.f64 x 1/3) (fma.f64 y (*.f64 x (*.f64 x 1/9)) y))
(fma.f64 y (*.f64 x (+.f64 1/3 (*.f64 x 1/9))) 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 y (*.f64 1/27 (pow.f64 x 3)) (fma.f64 y (*.f64 x 1/3) (fma.f64 y (*.f64 x (*.f64 x 1/9)) y)))
(fma.f64 y (*.f64 x (+.f64 1/3 (*.f64 x 1/9))) (*.f64 y (fma.f64 1/27 (pow.f64 x 3) 1)))
(+.f64 y (*.f64 y (*.f64 x (+.f64 1/3 (*.f64 x (+.f64 1/9 (*.f64 x 1/27)))))))
(*.f64 -3 (/.f64 y x))
(/.f64 -3 (/.f64 x y))
(+.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 (/.f64 -9 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 -27 (/.f64 (pow.f64 x 3) y))))
(fma.f64 -3 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x))))
(*.f64 (/.f64 y x) (+.f64 -3 (+.f64 (/.f64 -9 x) (/.f64 -27 (*.f64 x 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 -81 (/.f64 y (pow.f64 x 4)) (/.f64 -27 (/.f64 (pow.f64 x 3) y)))))
(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 -3 (/.f64 x y))
(+.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 (/.f64 -9 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 -27 (/.f64 (pow.f64 x 3) y))))
(fma.f64 -3 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x))))
(*.f64 (/.f64 y x) (+.f64 -3 (+.f64 (/.f64 -9 x) (/.f64 -27 (*.f64 x 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 -81 (/.f64 y (pow.f64 x 4)) (/.f64 -27 (/.f64 (pow.f64 x 3) y)))))
(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 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 (*.f64 x -4/3) 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 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 1/3 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 x -4/3) 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 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 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 (*.f64 x -4/3) y))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 x (/.f64 y -4/3)))
(*.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 1/3 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 x -4/3) 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 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 1/3 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 x -4/3) 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 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 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 (*.f64 x -4/3) y))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 x (/.f64 y -4/3)))
(*.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 1/3 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 x -4/3) 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 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 1/3 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 x -4/3) 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 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 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 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 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 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 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 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 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 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 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 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 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 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 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 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 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 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 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 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 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 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 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 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 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 1/3)))

localize114.0ms (1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 3 (/.f64 1/3 y))
0.4b
(/.f64 1/3 y)
Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (0.4%)

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 3 (/.f64 1/3 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (*.f64 y 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 log1p.f64 (expm1.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 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)

localize46.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x (*.f64 1/3 (/.f64 x y)))
✓0.3b
(*.f64 1/3 (/.f64 x y))
Compiler

Compiled 20 to 9 computations (55% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

12 calls:

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

rewrite67.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
768×pow1_binary64
712×add-log-exp_binary64
712×log1p-expm1-u_binary64
712×expm1-log1p-u_binary64
698×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114917
2193717
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 x (*.f64 1/3 (/.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (*.f64 (/.f64 x y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 1/3 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 x) x) y)))) (#(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) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (/.f64 x y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 (/.f64 x y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (/.f64 x y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (/.f64 x y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (/.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (/.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (/.f64 x y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 1/3 (/.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 (/.f64 x y) x))))))))

simplify137.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
682×associate-/l/_binary64
528×associate-*l*_binary64
493×*-commutative_binary64
470×sqr-pow_binary64
437×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08240
116240
231240
362240
4169240
5615240
62654240
73723240
83933240
94152240
104380240
114718240
126225240
136892240
147688240
Stop Event
1×node limit
Counts
62 → 40
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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.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 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (-.f64 1 x) (/.f64 1 y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(*.f64 (-.f64 1 x) (/.f64 1 y))
1.0ms
x
@0
(*.f64 (-.f64 1 x) (/.f64 1 y))
0.0ms
y
@0
(*.f64 (-.f64 1 x) (/.f64 1 y))
0.0ms
y
@-inf
(*.f64 (-.f64 1 x) (/.f64 1 y))
0.0ms
x
@inf
(*.f64 (-.f64 1 x) (/.f64 1 y))

rewrite148.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
774×pow1_binary64
720×add-log-exp_binary64
720×log1p-expm1-u_binary64
720×expm1-log1p-u_binary64
706×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11517
219807
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(*.f64 (-.f64 1 x) (/.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (*.f64 (neg.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (*.f64 (/.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 y (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 y (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 y (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (*.f64 y (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) 1) (*.f64 (+.f64 1 (fma.f64 x x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (*.f64 (+.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) -1) (*.f64 (+.f64 1 (fma.f64 x x x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) -1) (*.f64 (+.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 y) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 y) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 y)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 y)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (/.f64 (pow.f64 y -2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) y)))))))

simplify28.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
135×fma-def_binary64
118×fma-neg_binary64
27×div-sub_binary64
25×cancel-sign-sub-inv_binary64
21×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011268
121163
231163
348163
468163
5101163
6166163
7298163
8525163
9670163
10716163
Stop Event
1×saturated
Counts
63 → 44
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (+.f64 x -4))
✓6.1b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series6.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite105.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
569×log-prod_binary64
448×exp-prod_binary64
314×pow-prod-down_binary64
269×pow2_binary64
189×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
120620
2297920
Stop Event
1×node limit
Counts
2 → 118
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
(*.f64 x (+.f64 x -4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -4))) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -4))) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -4))) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -4))) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 3 (/.f64 y (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -4) (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -4))) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x -4))) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))) 2) (cbrt.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4))) (*.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4))) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))) (sqrt.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (+.f64 x -4))) (/.f64 1 (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -4) 1/3) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) (*.f64 x (+.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y (+.f64 x -4))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 x (/.f64 y (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (+.f64 x -4) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -4) y) (/.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -4) 1) (/.f64 x (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -4))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x -4))) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4))) 1) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4))) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4))) y) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 3) (/.f64 (+.f64 x -4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 x (+.f64 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -4))) 2) y) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4))) 3) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -4))) 2) 3) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x -4))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (*.f64 (*.f64 y y) 9))) (/.f64 (+.f64 x -4) (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -4) (cbrt.f64 (*.f64 (*.f64 y y) 9))) (/.f64 x (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) -2) (/.f64 (*.f64 x (+.f64 x -4)) (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -4))) 2) (cbrt.f64 (*.f64 (*.f64 y y) 9))) (cbrt.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4))) (cbrt.f64 (*.f64 (*.f64 y y) 9))) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4))) (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))) (/.f64 (+.f64 x -4) (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -4) (sqrt.f64 (*.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y 3) -1/2) (/.f64 (*.f64 x (+.f64 x -4)) (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -4))) 2) (sqrt.f64 (*.f64 y 3))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x -4))) (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x (/.f64 y (+.f64 x -4))) 2) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (/.f64 3 (+.f64 x -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 3) (pow.f64 (*.f64 y 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 y x) (/.f64 3 (+.f64 x -4))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 x (/.f64 y (+.f64 x -4))) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -4))) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 3) (pow.f64 (*.f64 y 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (/.f64 3 (+.f64 x -4)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x -4) (/.f64 1/3 y)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -4) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 x -4) 2) (*.f64 (*.f64 x x) (*.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -4) 2)) (-.f64 (*.f64 x x) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64 (pow.f64 x 3)) x) (-.f64 (fma.f64 x x 16) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16) x) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -64 (pow.f64 x 3))) (-.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 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 x -4)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 x -4))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 x -4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -4 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (*.f64 (*.f64 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -4)) 2) (cbrt.f64 (*.f64 x -4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -4)) (sqrt.f64 (*.f64 x -4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x x))))))

simplify73.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
541×fma-def_binary64
489×associate-/l*_binary64
419×distribute-rgt-out_binary64
406×associate-/r/_binary64
382×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
020468
144459
286459
3188459
4520333
51909333
65365333
77306333
Stop Event
1×node limit
Counts
154 → 131
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 x)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
Outputs
(*.f64 -4/3 (/.f64 x y))
(/.f64 (*.f64 -4/3 x) 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 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -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 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -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 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) 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 (/.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 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -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 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -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 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) 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 (/.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 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -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 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -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 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 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 1/3 (/.f64 x (/.f64 y x)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(*.f64 -4 x)
(*.f64 x -4)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))

eval1.3s (10.6%)

Compiler

Compiled 29441 to 21464 computations (27.1% saved)

prune187.0ms (1.6%)

Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New75914773
Fresh5712
Picked011
Done268
Total76628794
Error
0b
Counts
794 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
61.2b
(*.f64 (/.f64 x y) -4/3)
48.5b
(/.f64 (*.f64 (*.f64 x 1/3) x) y)
✓20.8b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
42.4b
(/.f64 (-.f64 1 x) (*.f64 -3 (/.f64 y x)))
61.2b
(/.f64 (*.f64 -4/3 x) y)
✓21.0b
(*.f64 (-.f64 1 x) (/.f64 1 y))
42.3b
(/.f64 (*.f64 1/3 x) (/.f64 y x))
0.3b
(*.f64 (/.f64 (-.f64 3 x) (*.f64 3 y)) (-.f64 1 x))
61.2b
(*.f64 x (/.f64 -4/3 y))
48.5b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
✓21.0b
(/.f64 1 y)
21.0b
(/.f64 1 (/.f64 y (-.f64 1 x)))
▶21.0b
(/.f64 (-.f64 1 x) y)
✓48.3b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
42.3b
(*.f64 1/3 (*.f64 x (/.f64 x y)))
▶42.1b
(*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))
▶21.0b
(-.f64 (/.f64 1 y) (/.f64 x y))
0.2b
(/.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))
48.5b
(/.f64 (*.f64 x x) (*.f64 y 3))
▶61.2b
(/.f64 (neg.f64 x) y)
21.1b
(/.f64 3 (*.f64 y 3))
✓42.3b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
20.6b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
42.3b
(*.f64 x (/.f64 x (*.f64 y 3)))
42.3b
(*.f64 x (/.f64 1/3 (/.f64 y x)))
✓21.2b
(*.f64 3 (/.f64 1/3 y))
▶0.1b
(/.f64 (-.f64 1 x) (*.f64 (/.f64 3 (-.f64 3 x)) y))
✓42.1b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
Compiler

Compiled 451 to 326 computations (27.7% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 35 to 25 computations (28.6% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite105.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
603×log-prod_binary64
329×prod-diff_binary64
308×pow2_binary64
229×log-div_binary64
215×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
123026
2332626
Stop Event
1×node limit
Counts
2 → 149
Calls
Call 1
Inputs
(*.f64 (/.f64 3 (-.f64 3 x)) y)
(/.f64 (-.f64 1 x) (*.f64 (/.f64 3 (-.f64 3 x)) y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x)))) (sqrt.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x))) (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) (/.f64 3 (-.f64 3 x))) (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 3 (-.f64 3 x)))) (/.f64 (sqrt.f64 x) y) (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3 (/.f64 y (-.f64 3 x)))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3 (/.f64 y (-.f64 3 x))))) (*.f64 (/.f64 x (*.f64 3 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (*.f64 (-.f64 1 x) (-.f64 1 (/.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 (/.f64 y (-.f64 3 x)))) -2) (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 3 (/.f64 y (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 3 (/.f64 y (-.f64 3 x))) -1/2) (/.f64 (-.f64 1 x) (sqrt.f64 (*.f64 3 (/.f64 y (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 3 (/.f64 y (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 3 (/.f64 y (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 3 (-.f64 3 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 3 (-.f64 3 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) y) (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 3 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) y) (/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 3 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (*.f64 3 (/.f64 y (-.f64 3 x)))) 2)) (cbrt.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (*.f64 3 (/.f64 y (-.f64 3 x)))) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 3 (/.f64 y (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (*.f64 3 (/.f64 y (-.f64 3 x))))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 3 (/.f64 y (-.f64 3 x))))))))) (#(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 pow.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 3 (-.f64 3 x)) (/.f64 (-.f64 1 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 3 (/.f64 y (-.f64 3 x))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 3 (-.f64 3 x)) (/.f64 (-.f64 1 x) y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (/.f64 (neg.f64 (*.f64 3 y)) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (/.f64 (-.f64 1 (/.f64 x 3)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 3 (/.f64 y (-.f64 3 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 1 (/.f64 x 3)) y) (neg.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x 3)) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x 3)) y)) (neg.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 x 3)) y)) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 x 3)) y)) (neg.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 3 y)) (-.f64 3 x) (neg.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x))))))))

simplify62.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
784×fma-def_binary64
552×associate-/l/_binary64
477×distribute-lft-out_binary64
388×distribute-rgt-in_binary64
356×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058758
1148754
2370714
31143694
44326674
Stop Event
1×node limit
Counts
197 → 177
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))
Outputs
y
(+.f64 y (*.f64 1/3 (*.f64 y x)))
(fma.f64 1/3 (*.f64 y 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 (fma.f64 1/3 (*.f64 y x) y) (*.f64 (*.f64 x x) (*.f64 y 1/9)))
(fma.f64 y (*.f64 1/3 x) (fma.f64 y (*.f64 (*.f64 1/9 x) x) y))
(fma.f64 y (*.f64 x (+.f64 (*.f64 x 1/9) 1/3)) y)
(fma.f64 y (*.f64 x (+.f64 1/3 (*.f64 x 1/9))) 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 (pow.f64 x 3) (*.f64 y 1/27) (fma.f64 y (*.f64 1/3 x) (fma.f64 y (*.f64 (*.f64 1/9 x) x) y)))
(fma.f64 y (*.f64 1/3 x) (fma.f64 y (*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x 1/27))) y))
(+.f64 y (*.f64 y (*.f64 x (+.f64 1/3 (*.f64 x (+.f64 1/9 (*.f64 x 1/27)))))))
(*.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 -27 (/.f64 (pow.f64 x 3) y))))
(fma.f64 -3 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x))))
(*.f64 (/.f64 y x) (+.f64 -3 (+.f64 (/.f64 -9 x) (/.f64 -27 (*.f64 x 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 -81 (/.f64 y (pow.f64 x 4)) (/.f64 -27 (/.f64 (pow.f64 x 3) y)))))
(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 -27 (/.f64 (pow.f64 x 3) y))))
(fma.f64 -3 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x))))
(*.f64 (/.f64 y x) (+.f64 -3 (+.f64 (/.f64 -9 x) (/.f64 -27 (*.f64 x 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 -81 (/.f64 y (pow.f64 x 4)) (/.f64 -27 (/.f64 (pow.f64 x 3) y)))))
(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 (-.f64 3 x) 3))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 y (/.f64 (-.f64 3 x) 3))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 y (/.f64 (-.f64 3 x) 3))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 y (/.f64 (-.f64 3 x) 3))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 y (/.f64 (-.f64 3 x) 3))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 y (/.f64 (-.f64 3 x) 3))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 y (/.f64 (-.f64 3 x) 3))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 y (/.f64 (-.f64 3 x) 3))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 y (/.f64 (-.f64 3 x) 3))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 y (/.f64 (-.f64 3 x) 3))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 y (/.f64 (-.f64 3 x) 3))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(/.f64 y (/.f64 (-.f64 3 x) 3))
(/.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 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 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 -4/3 y) (*.f64 (/.f64 1/3 y) x)))
(*.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 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 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 -4/3 y) (*.f64 (/.f64 1/3 y) x)))
(*.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 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 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))

localize5.0ms (0%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite65.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
756×pow1_binary64
706×add-log-exp_binary64
706×log1p-expm1-u_binary64
706×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
217977
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) y)))))))

simplify27.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
202×fma-def_binary64
125×fma-neg_binary64
44×cancel-sign-sub-inv_binary64
31×distribute-rgt-in_binary64
26×unsub-neg_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
09124
116106
225106
335106
448106
574106
6130106
7253106
849479
973279
1082979
1189579
Stop Event
1×saturated
Counts
45 → 38
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite57.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
949×pow1_binary64
889×add-log-exp_binary64
889×log1p-expm1-u_binary64
889×expm1-log1p-u_binary64
82×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11587
224027
Stop Event
1×node limit
Counts
1 → 56
Calls
Call 1
Inputs
(-.f64 (/.f64 1 y) (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (*.f64 (/.f64 (neg.f64 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) y) (fma.f64 (/.f64 (neg.f64 x) y) 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) y) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (*.f64 y x)) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y -3) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 y -2) (*.f64 (/.f64 x y) (*.f64 (/.f64 1 y) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (*.f64 (/.f64 1 y) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y -1/2) (sqrt.f64 (/.f64 x y))) (-.f64 (pow.f64 y -1/2) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 y -2) (*.f64 (/.f64 x y) (*.f64 (/.f64 1 y) (+.f64 1 x)))) (-.f64 (pow.f64 y -3) (pow.f64 (/.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 1 y) (+.f64 1 x)) (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y (*.f64 y x)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -3) (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 y -2) (*.f64 (/.f64 x y) (*.f64 (/.f64 1 y) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 x y) 2)) (*.f64 (/.f64 1 y) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 y (*.f64 y x))) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y -3) (pow.f64 (/.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 y -2) (*.f64 (/.f64 x y) (*.f64 (/.f64 1 y) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 x y) 2))) (neg.f64 (*.f64 (/.f64 1 y) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 y x) y) (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (/.f64 y x)) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 y) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 (neg.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y -3) (pow.f64 (/.f64 (neg.f64 x) y) 3)) (+.f64 (pow.f64 y -2) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (*.f64 (/.f64 1 y) (/.f64 (neg.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -2) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 (/.f64 1 y) (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y (*.f64 y x)) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (/.f64 (neg.f64 x) y))))))

simplify31.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
135×fma-def_binary64
118×fma-neg_binary64
27×div-sub_binary64
25×cancel-sign-sub-inv_binary64
21×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014163
125163
235163
348163
468163
5101163
6166163
7298163
8526163
9671163
10717163
Stop Event
1×saturated
Counts
80 → 61
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (+.f64 1 (*.f64 -1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1 x)) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
Outputs
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (+.f64 1 (*.f64 -1 x)) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (+.f64 1 (*.f64 -1 x)) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (+.f64 1 (*.f64 -1 x)) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (+.f64 1 (*.f64 -1 x)) y)
(/.f64 (-.f64 1 x) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)

localize53.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))
✓0.2b
(/.f64 x (*.f64 y 3))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite103.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
532×log-prod_binary64
340×pow-prod-down_binary64
277×prod-diff_binary64
270×pow2_binary64
190×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
120620
2297920
Stop Event
1×node limit
Counts
2 → 138
Calls
Call 1
Inputs
(/.f64 x (*.f64 y 3))
(*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) 1/3))))) (#(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 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) 2) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) 2) 9)) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))))) (#(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 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))))) (#(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 (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) (cbrt.f64 (*.f64 (*.f64 y y) 9))) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (*.f64 y y) 9))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y 3) -1/2) (/.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 (/.f64 x y) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x y) 2) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 (/.f64 y x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 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 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x y) 1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (/.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (/.f64 x y) 1/3)) (*.f64 (*.f64 (/.f64 x y) 1/3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x y) 1/3) -4) (*.f64 x (*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 (/.f64 x y) 1/3)) 1) (*.f64 (*.f64 (*.f64 (/.f64 x y) 1/3) -4) 1))))) (#(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 x (*.f64 (/.f64 1/3 y) (+.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16) (*.f64 (/.f64 x y) 1/3)) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 x y) 1/3) (+.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 (/.f64 x y) 1/3) (fma.f64 x x -16)) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -4) (neg.f64 x)) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -4) (/.f64 x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y 3) (*.f64 x (+.f64 x -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 1/3 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 x (*.f64 (/.f64 1/3 y) (+.f64 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (+.f64 x -4)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (/.f64 x y) 1/3) (*.f64 (*.f64 (/.f64 x y) 1/3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (/.f64 1/3 y) -4) (*.f64 x (*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) 1/3) x (*.f64 (*.f64 (/.f64 x y) 1/3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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(*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))) (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) (*.f64 x (*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 x y) 1/3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 (/.f64 x y) 1/3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 x y) 1/3) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 x y) 1/3) -4))))))

simplify166.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
562×fma-def_binary64
532×associate-/l*_binary64
411×associate-/r/_binary64
402×associate-/r*_binary64
391×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
018552
143552
287552
3191552
4545426
51948426
65682426
77584426
Stop Event
1×node limit
Counts
186 → 145
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 -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))
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 -4/3 (/.f64 x y))
(/.f64 (*.f64 -4/3 x) y)
(/.f64 (*.f64 x -4/3) y)
(*.f64 (/.f64 x y) -4/3)
(/.f64 x (/.f64 y -4/3))
(*.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 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.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 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.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 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 1/3 (/.f64 y (*.f64 x 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 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.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 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.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 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 1/3 (/.f64 y (*.f64 x 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 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.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 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.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 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x -4/3) y))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (/.f64 x (/.f64 y -4/3)))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))

eval342.0ms (2.9%)

Compiler

Compiled 9262 to 6331 computations (31.6% saved)

prune100.0ms (0.8%)

Pruning

26 alts after pruning (16 fresh and 10 done)

PrunedKeptTotal
New4156421
Fresh61016
Picked101
Done11011
Total42326449
Error
0b
Counts
449 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
61.2b
(*.f64 (/.f64 x y) -4/3)
48.5b
(/.f64 (*.f64 (*.f64 x 1/3) x) y)
0.2b
(/.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))
61.2b
(/.f64 (*.f64 -4/3 x) y)
✓20.8b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
42.0b
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
✓21.0b
(*.f64 (-.f64 1 x) (/.f64 1 y))
48.5b
(/.f64 1/3 (/.f64 y (*.f64 x x)))
21.0b
(/.f64 1 (/.f64 y (-.f64 1 x)))
✓21.0b
(/.f64 (-.f64 1 x) y)
✓48.3b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
61.2b
(*.f64 x (/.f64 -4/3 y))
✓0.1b
(/.f64 (-.f64 1 x) (*.f64 (/.f64 3 (-.f64 3 x)) y))
✓61.2b
(/.f64 (neg.f64 x) y)
21.1b
(/.f64 3 (*.f64 y 3))
42.1b
(/.f64 x (/.f64 (*.f64 y 3) (+.f64 x -4)))
✓42.3b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
42.3b
(/.f64 (*.f64 1/3 x) (/.f64 y x))
20.6b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
✓21.0b
(/.f64 1 y)
42.3b
(*.f64 x (/.f64 x (*.f64 y 3)))
42.3b
(*.f64 x (/.f64 1/3 (/.f64 y x)))
42.3b
(*.f64 1/3 (*.f64 x (/.f64 x y)))
✓21.0b
(-.f64 (/.f64 1 y) (/.f64 x y))
✓21.2b
(*.f64 3 (/.f64 1/3 y))
Compiler

Compiled 237 to 173 computations (27% saved)

regimes295.0ms (2.5%)

Counts
49 → 1
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(/.f64 (*.f64 -4/3 x) y)
(*.f64 3 (/.f64 1/3 y))
(/.f64 3 (*.f64 y 3))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 1 (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(/.f64 (*.f64 (*.f64 x 1/3) x) y)
(*.f64 (-.f64 1 x) (/.f64 1 y))
(*.f64 x (*.f64 1/3 (/.f64 x y)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 (*.f64 x 1/3) y))
(*.f64 x (/.f64 x (*.f64 y 3)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(/.f64 (*.f64 x x) (*.f64 y 3))
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
(/.f64 x (/.f64 (*.f64 y 3) (+.f64 x -4)))
(/.f64 (-.f64 1 x) (*.f64 -3 (/.f64 y x)))
(*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
(/.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 (-.f64 3 x) (*.f64 3 y)) (-.f64 1 x))
(/.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))
(/.f64 (-.f64 1 x) (*.f64 (/.f64 3 (-.f64 3 x)) y))
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
(/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))
(/.f64 (/.f64 (-.f64 1 x) 3) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (*.f64 (/.f64 1 y) 1/3))
Outputs
(/.f64 (-.f64 1 x) (*.f64 (/.f64 3 (-.f64 3 x)) y))
Calls

7 calls:

77.0ms
x
57.0ms
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
42.0ms
(*.f64 (-.f64 1 x) (-.f64 3 x))
32.0ms
y
27.0ms
(*.f64 y 3)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
0.1b1(*.f64 (-.f64 1 x) (-.f64 3 x))
0.1b1(*.f64 (-.f64 1 x) (-.f64 3 x))
0.1b1(*.f64 y 3)
0.1b1(*.f64 y 3)
Compiler

Compiled 451 to 296 computations (34.4% saved)

regimes127.0ms (1.1%)

Counts
38 → 1
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(/.f64 (*.f64 -4/3 x) y)
(*.f64 3 (/.f64 1/3 y))
(/.f64 3 (*.f64 y 3))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 1 (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(/.f64 (*.f64 (*.f64 x 1/3) x) y)
(*.f64 (-.f64 1 x) (/.f64 1 y))
(*.f64 x (*.f64 1/3 (/.f64 x y)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 (*.f64 x 1/3) y))
(*.f64 x (/.f64 x (*.f64 y 3)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(/.f64 (*.f64 x x) (*.f64 y 3))
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
(/.f64 x (/.f64 (*.f64 y 3) (+.f64 x -4)))
(/.f64 (-.f64 1 x) (*.f64 -3 (/.f64 y x)))
(*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
(/.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))
(*.f64 (/.f64 (-.f64 3 x) (*.f64 3 y)) (-.f64 1 x))
(/.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))
Outputs
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
Calls

4 calls:

57.0ms
y
23.0ms
x
19.0ms
(*.f64 y 3)
18.0ms
(*.f64 y 3)
Results
ErrorSegmentsBranch
0.2b1x
0.2b1y
0.2b1(*.f64 y 3)
0.2b1(*.f64 y 3)
Compiler

Compiled 297 to 182 computations (38.7% saved)

regimes637.0ms (5.4%)

Counts
34 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(/.f64 (*.f64 -4/3 x) y)
(*.f64 3 (/.f64 1/3 y))
(/.f64 3 (*.f64 y 3))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 1 (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(/.f64 (*.f64 (*.f64 x 1/3) x) y)
(*.f64 (-.f64 1 x) (/.f64 1 y))
(*.f64 x (*.f64 1/3 (/.f64 x y)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 (*.f64 x 1/3) y))
(*.f64 x (/.f64 x (*.f64 y 3)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(/.f64 (*.f64 x x) (*.f64 y 3))
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
(/.f64 x (/.f64 (*.f64 y 3) (+.f64 x -4)))
(/.f64 (-.f64 1 x) (*.f64 -3 (/.f64 y x)))
(*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
Outputs
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
Calls

4 calls:

261.0ms
y
179.0ms
x
122.0ms
(*.f64 y 3)
62.0ms
(*.f64 y 3)
Results
ErrorSegmentsBranch
1.5b3x
17.7b3y
17.7b3(*.f64 y 3)
17.7b3(*.f64 y 3)
Compiler

Compiled 253 to 150 computations (40.7% saved)

bsearch78.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
40.0ms
4.680103889293689e-6
557625.9242005823
37.0ms
-2.024769725524062
-0.006802714870760524
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes277.0ms (2.3%)

Counts
31 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(/.f64 (*.f64 -4/3 x) y)
(*.f64 3 (/.f64 1/3 y))
(/.f64 3 (*.f64 y 3))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 1 (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(/.f64 (*.f64 (*.f64 x 1/3) x) y)
(*.f64 (-.f64 1 x) (/.f64 1 y))
(*.f64 x (*.f64 1/3 (/.f64 x y)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 (*.f64 x 1/3) y))
(*.f64 x (/.f64 x (*.f64 y 3)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(/.f64 (*.f64 x x) (*.f64 y 3))
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
(/.f64 x (/.f64 (*.f64 y 3) (+.f64 x -4)))
(/.f64 (-.f64 1 x) (*.f64 -3 (/.f64 y x)))
(*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
Outputs
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
Calls

4 calls:

95.0ms
(*.f64 y 3)
68.0ms
(*.f64 y 3)
53.0ms
y
46.0ms
x
Results
ErrorSegmentsBranch
1.7b3x
17.9b3y
17.9b3(*.f64 y 3)
17.9b3(*.f64 y 3)
Compiler

Compiled 226 to 134 computations (40.7% saved)

bsearch39.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
4.680103889293689e-6
557625.9242005823
19.0ms
-2.024769725524062
-0.006802714870760524
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes377.0ms (3.2%)

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

4 calls:

103.0ms
(*.f64 y 3)
103.0ms
y
86.0ms
(*.f64 y 3)
77.0ms
x
Results
ErrorSegmentsBranch
1.9b3x
18.0b3y
18.0b3(*.f64 y 3)
18.0b3(*.f64 y 3)
Compiler

Compiled 217 to 127 computations (41.5% saved)

bsearch82.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
42.0ms
4.680103889293689e-6
557625.9242005823
40.0ms
-2.024769725524062
-0.006802714870760524
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes510.0ms (4.3%)

Counts
25 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(/.f64 (*.f64 -4/3 x) y)
(*.f64 3 (/.f64 1/3 y))
(/.f64 3 (*.f64 y 3))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 1 (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(/.f64 (*.f64 (*.f64 x 1/3) x) y)
(*.f64 (-.f64 1 x) (/.f64 1 y))
(*.f64 x (*.f64 1/3 (/.f64 x y)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 (*.f64 x 1/3) y))
(*.f64 x (/.f64 x (*.f64 y 3)))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(/.f64 (*.f64 x x) (*.f64 y 3))
Outputs
(*.f64 x (*.f64 1/3 (/.f64 x y)))
(/.f64 1 (/.f64 y (-.f64 1 x)))
(*.f64 x (/.f64 x (*.f64 y 3)))
Calls

4 calls:

174.0ms
(*.f64 y 3)
130.0ms
(*.f64 y 3)
129.0ms
y
66.0ms
x
Results
ErrorSegmentsBranch
2.2b3x
18.2b3y
18.2b3(*.f64 y 3)
18.2b3(*.f64 y 3)
Compiler

Compiled 172 to 99 computations (42.4% saved)

bsearch64.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
33.0ms
4.680103889293689e-6
557625.9242005823
31.0ms
-10.056489013814161
-2.0481278514863037
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes310.0ms (2.6%)

Counts
21 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(/.f64 (*.f64 -4/3 x) y)
(*.f64 3 (/.f64 1/3 y))
(/.f64 3 (*.f64 y 3))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 1 (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(/.f64 (*.f64 (*.f64 x 1/3) x) y)
(*.f64 (-.f64 1 x) (/.f64 1 y))
(*.f64 x (*.f64 1/3 (/.f64 x y)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 (*.f64 x 1/3) y))
Outputs
(*.f64 x (*.f64 1/3 (/.f64 x y)))
(/.f64 1 (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
Calls

4 calls:

103.0ms
(*.f64 y 3)
93.0ms
y
61.0ms
x
45.0ms
(*.f64 y 3)
Results
ErrorSegmentsBranch
2.2b3x
17.9b4y
17.9b4(*.f64 y 3)
17.9b4(*.f64 y 3)
Compiler

Compiled 144 to 85 computations (41% saved)

bsearch41.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
4.680103889293689e-6
557625.9242005823
22.0ms
-10.056489013814161
-2.0481278514863037
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes326.0ms (2.7%)

Counts
18 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(/.f64 (*.f64 -4/3 x) y)
(*.f64 3 (/.f64 1/3 y))
(/.f64 3 (*.f64 y 3))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 1 (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(/.f64 (*.f64 (*.f64 x 1/3) x) y)
(*.f64 (-.f64 1 x) (/.f64 1 y))
Outputs
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 1 (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
Calls

4 calls:

135.0ms
(*.f64 y 3)
75.0ms
(*.f64 y 3)
72.0ms
y
39.0ms
x
Results
ErrorSegmentsBranch
2.2b3x
17.9b4y
17.9b4(*.f64 y 3)
17.9b4(*.f64 y 3)
Compiler

Compiled 123 to 75 computations (39% saved)

bsearch79.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
60.0ms
4.680103889293689e-6
557625.9242005823
18.0ms
-10.056489013814161
-2.0481278514863037
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes124.0ms (1%)

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

3 calls:

70.0ms
(*.f64 y 3)
27.0ms
y
23.0ms
x
Results
ErrorSegmentsBranch
2.2b3x
17.9b4y
17.9b4(*.f64 y 3)
Compiler

Compiled 76 to 50 computations (34.2% saved)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
4.680103889293689e-6
557625.9242005823
21.0ms
-10.056489013814161
-2.0481278514863037
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes113.0ms (1%)

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

3 calls:

46.0ms
y
39.0ms
x
25.0ms
(*.f64 y 3)
Results
ErrorSegmentsBranch
2.3b3x
17.9b4y
17.9b4(*.f64 y 3)
Compiler

Compiled 69 to 45 computations (34.8% saved)

bsearch71.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
4.680103889293689e-6
557625.9242005823
35.0ms
-10.056489013814161
-2.0481278514863037
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes68.0ms (0.6%)

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

3 calls:

37.0ms
x
13.0ms
y
12.0ms
(*.f64 y 3)
Results
ErrorSegmentsBranch
8.5b3x
21.0b1y
21.0b1(*.f64 y 3)
Compiler

Compiled 62 to 41 computations (33.9% saved)

bsearch41.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
4.680103889293689e-6
557625.9242005823
22.0ms
-10.056489013814161
-2.0481278514863037
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes25.0ms (0.2%)

Accuracy

Total -40.4b remaining (-192.9%)

Threshold costs -40.4b (-192.9%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 x y) -4/3)
(/.f64 (*.f64 -4/3 x) y)
(*.f64 3 (/.f64 1/3 y))
(/.f64 3 (*.f64 y 3))
Outputs
(/.f64 1 y)
Calls

3 calls:

10.0ms
x
6.0ms
(*.f64 y 3)
5.0ms
y
Results
ErrorSegmentsBranch
21.0b1x
21.0b1y
21.0b1(*.f64 y 3)
Compiler

Compiled 55 to 37 computations (32.7% saved)

simplify20.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
12×*-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
066432
185432
290432
392432
493432
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) (*.f64 (/.f64 3 (-.f64 3 x)) y))
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
(if (<=.f64 x -2279688045345307/1125899906842624) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 690661429473387/147573952589676412928) (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2279688045345307/1125899906842624) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3)) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2279688045345307/1125899906842624) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2830650010954309/281474976710656) (*.f64 x (*.f64 1/3 (/.f64 x y))) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (*.f64 x (/.f64 x (*.f64 y 3)))))
(if (<=.f64 x -2830650010954309/281474976710656) (*.f64 x (*.f64 1/3 (/.f64 x y))) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (*.f64 1/3 (*.f64 x (/.f64 x y)))))
(if (<=.f64 x -2830650010954309/281474976710656) (/.f64 (*.f64 1/3 x) (/.f64 y x)) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (*.f64 1/3 (*.f64 x (/.f64 x y)))))
(if (<=.f64 x -2830650010954309/281474976710656) (/.f64 (*.f64 1/3 x) (/.f64 y x)) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (/.f64 (*.f64 1/3 x) (/.f64 y x))))
(if (<=.f64 x -2830650010954309/281474976710656) (/.f64 (*.f64 1/3 x) (/.f64 y x)) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 (-.f64 1 x) y) (/.f64 (*.f64 1/3 x) (/.f64 y x))))
(if (<=.f64 x -2830650010954309/281474976710656) (/.f64 1/3 (/.f64 y (*.f64 x x))) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 (-.f64 1 x) y) (/.f64 1/3 (/.f64 y (*.f64 x x)))))
(/.f64 1 y)
Outputs
(/.f64 (-.f64 1 x) (*.f64 (/.f64 3 (-.f64 3 x)) y))
(/.f64 (-.f64 1 x) (/.f64 3 (/.f64 (-.f64 3 x) y)))
(if (<=.f64 x -2279688045345307/1125899906842624) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 690661429473387/147573952589676412928) (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2279688045345307/1125899906842624) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 690661429473387/147573952589676412928) (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3)) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2279688045345307/1125899906842624) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3)) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2279688045345307/1125899906842624) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 (+.f64 3 (*.f64 x -4)) (*.f64 3 y)) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2279688045345307/1125899906842624) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2830650010954309/281474976710656) (*.f64 x (*.f64 1/3 (/.f64 x y))) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (*.f64 x (/.f64 x (*.f64 y 3)))))
(if (<=.f64 x -2830650010954309/281474976710656) (*.f64 x (*.f64 (/.f64 x y) 1/3)) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (*.f64 x (/.f64 x (*.f64 3 y)))))
(if (<=.f64 x -2830650010954309/281474976710656) (*.f64 x (*.f64 1/3 (/.f64 x y))) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (*.f64 1/3 (*.f64 x (/.f64 x y)))))
(if (<=.f64 x -2830650010954309/281474976710656) (*.f64 x (*.f64 (/.f64 x y) 1/3)) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (*.f64 1/3 (*.f64 x (/.f64 x y)))))
(if (<=.f64 x -2830650010954309/281474976710656) (/.f64 (*.f64 1/3 x) (/.f64 y x)) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (*.f64 1/3 (*.f64 x (/.f64 x y)))))
(if (<=.f64 x -2830650010954309/281474976710656) (/.f64 (*.f64 x 1/3) (/.f64 y x)) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (*.f64 1/3 (*.f64 x (/.f64 x y)))))
(if (<=.f64 x -2830650010954309/281474976710656) (/.f64 (*.f64 1/3 x) (/.f64 y x)) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (/.f64 (*.f64 1/3 x) (/.f64 y x))))
(if (<=.f64 x -2830650010954309/281474976710656) (/.f64 (*.f64 x 1/3) (/.f64 y x)) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 1 (/.f64 y (-.f64 1 x))) (/.f64 (*.f64 x 1/3) (/.f64 y x))))
(if (<=.f64 x -2830650010954309/281474976710656) (/.f64 (*.f64 1/3 x) (/.f64 y x)) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 (-.f64 1 x) y) (/.f64 (*.f64 1/3 x) (/.f64 y x))))
(if (<=.f64 x -2830650010954309/281474976710656) (/.f64 (*.f64 x 1/3) (/.f64 y x)) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 (-.f64 1 x) y) (/.f64 (*.f64 x 1/3) (/.f64 y x))))
(if (<=.f64 x -2830650010954309/281474976710656) (/.f64 1/3 (/.f64 y (*.f64 x x))) (if (<=.f64 x 690661429473387/147573952589676412928) (/.f64 (-.f64 1 x) y) (/.f64 1/3 (/.f64 y (*.f64 x x)))))
(/.f64 1 y)
Compiler

Compiled 322 to 215 computations (33.2% saved)

soundness0.0ms (0%)

end133.0ms (1.1%)

Compiler

Compiled 300 to 185 computations (38.3% saved)

Profiling

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