Details

Time bar (total: 7.7s)

analyze82.0ms (1.1%)

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)

sample1.4s (18.4%)

Results
1.3s8256×body256valid
145.0ms646×body256invalid

preprocess59.0ms (0.8%)

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)

simplify61.0ms (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)

prune1.0ms (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
▶6.6b
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
▶6.7b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Compiler

Compiled 25 to 19 computations (24% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓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)

series8.0ms (0.1%)

Counts
2 → 24
Calls

9 calls:

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

rewrite71.0ms (0.9%)

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
01018
122118
2270818
Stop Event
1×node limit
Counts
2 → 84
Calls
Call 1
Inputs
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(/.f64 1/3 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) (*.f64 3 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 y) (*.f64 x (+.f64 x -4))) (*.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (+.f64 x -4) 3) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (fma.f64 x (+.f64 x -4) 3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))

simplify114.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1096×fma-def_binary64
503×distribute-neg-frac_binary64
359×associate-/l*_binary64
350×*-commutative_binary64
340×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023485
150483
294447
3178447
4451270
51511270
63867270
75694270
85914270
96202270
106545270
117347270
Stop Event
1×node limit
Counts
108 → 94
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 x 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 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 x 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 x (/.f64 (fma.f64 x 1/3 -4/3) y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)

localize36.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 x) (-.f64 3 x))
✓6.3b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series8.0ms (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))

rewrite107.0ms (1.4%)

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 (/.f64 y (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 2) (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (*.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (neg.f64 (-.f64 3 x))) (/.f64 1 (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 x 3)) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) 1) (/.f64 (-.f64 3 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) 1) (/.f64 (-.f64 1 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) y) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 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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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/.f64 (*.f64 (-.f64 3 x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 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9)) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 x x)) (/.f64 1 (+.f64 x 3)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 x x)) (/.f64 1 (+.f64 x 3)) (*.f64 (-.f64 3 x) (neg.f64 x)))))))

simplify63.0ms (0.8%)

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)

eval157.0ms (2%)

Compiler

Compiled 3557 to 2652 computations (25.4% saved)

prune71.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New21414228
Fresh000
Picked101
Done101
Total21614230
Error
0b
Counts
230 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))
24.7b
(/.f64 3 (*.f64 y 3))
1.6b
(*.f64 (/.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 3 y))))
0.4b
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)
38.3b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
▶45.1b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
24.4b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
▶0.2b
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
6.6b
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
38.9b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
▶44.8b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
▶24.5b
(/.f64 1 y)
45.3b
(/.f64 (*.f64 x x) (*.f64 y 3))
▶0.6b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
Compiler

Compiled 320 to 244 computations (23.8% saved)

localize28.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓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)

series39.0ms (0.5%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
27.0ms
x
@0
(/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x))))
2.0ms
y
@0
(*.f64 3 (/.f64 y (-.f64 3 x)))
1.0ms
y
@0
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
1.0ms
y
@inf
(*.f64 3 (/.f64 y (-.f64 3 x)))
1.0ms
x
@inf
(*.f64 3 (/.f64 y (-.f64 3 x)))

rewrite84.0ms (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
01136
125136
2349836
Stop Event
1×node limit
Counts
3 → 165
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)))))
Outputs
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(*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) -2)) (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) -2)) (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (neg.f64 (/.f64 x (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (neg.f64 (/.f64 x (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (*.f64 (/.f64 y (-.f64 3 x)) -3)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (*.f64 (/.f64 y (-.f64 3 x)) -3)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (*.f64 (/.f64 y (-.f64 3 x)) -3)) (neg.f64 (/.f64 x (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) y) 1/3 (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) y) 1/3 (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) y) 1/3 (neg.f64 (/.f64 x (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (/.f64 (-.f64 3 x) y) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (/.f64 (-.f64 3 x) y) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (/.f64 (-.f64 3 x) y) (neg.f64 (/.f64 x (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 3 y) (-.f64 3 x))) -2) (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 3 y) (-.f64 3 x))) -2) (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 3 y) (-.f64 3 x))) -2) (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (neg.f64 (/.f64 x (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 3 y)) (-.f64 3 x) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 3 y)) (-.f64 3 x) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 3 y)) (-.f64 3 x) (neg.f64 (/.f64 x (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) (-.f64 3 x) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) (-.f64 3 x) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) (-.f64 3 x) (neg.f64 (/.f64 x (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (neg.f64 y)) (neg.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (neg.f64 y)) (neg.f64 (-.f64 3 x)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (neg.f64 y)) (neg.f64 (-.f64 3 x)) (neg.f64 (/.f64 x (/.f64 (*.f64 3 y) (-.f64 3 x)))))))))

simplify69.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
800×fma-def_binary64
547×associate-/l/_binary64
479×distribute-lft-out_binary64
386×distribute-rgt-in_binary64
360×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
062866
1159862
2391822
31173736
44415716
Stop Event
1×node limit
Counts
225 → 196
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 1/3 (*.f64 y x)))
(+.f64 y (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x))))
(+.f64 y (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x)))))
(*.f64 -3 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(*.f64 -3 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 1 y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(/.f64 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 (*.f64 x x) (*.f64 y 1/9) y))
(fma.f64 x (*.f64 y (+.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 (*.f64 x x) (*.f64 y 1/9) y)))
(fma.f64 y (*.f64 1/27 (pow.f64 x 3)) (fma.f64 x (*.f64 y (+.f64 (*.f64 x 1/9) 1/3)) y))
(+.f64 y (*.f64 y (*.f64 x (+.f64 (*.f64 x (+.f64 1/9 (*.f64 x 1/27))) 1/3))))
(*.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 -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 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -27) (pow.f64 x 3))))
(fma.f64 -3 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x))))
(*.f64 (/.f64 y x) (+.f64 (+.f64 -3 (/.f64 -9 x)) (/.f64 -27 (*.f64 x 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 -27 (/.f64 y (pow.f64 x 3)) (/.f64 -81 (/.f64 (pow.f64 x 4) 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 (/.f64 -81 x) -27)))
(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 -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 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -27) (pow.f64 x 3))))
(fma.f64 -3 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x))))
(*.f64 (/.f64 y x) (+.f64 (+.f64 -3 (/.f64 -9 x)) (/.f64 -27 (*.f64 x 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 -27 (/.f64 y (pow.f64 x 3)) (/.f64 -81 (/.f64 (pow.f64 x 4) 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 (/.f64 -81 x) -27)))
(fma.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 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(/.f64 1 y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) 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 (fma.f64 x -1/3 1) y)
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) 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 (fma.f64 x -1/3 1) y)
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)))
(+.f64 (/.f64 1 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 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 (/.f64 x y) -4/3)))
(+.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 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 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 x y) -4/3))
(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 -4/3 y) x))
(*.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 (/.f64 x y) -4/3)))
(+.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 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 (/.f64 x y) -4/3)))
(+.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 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 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 x y) -4/3))
(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 -4/3 y) x))
(*.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 (/.f64 x y) -4/3)))
(+.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 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 (/.f64 x y) -4/3)))
(+.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 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 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))

localize4.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1/3 y)
✓10.4b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
Compiler

Compiled 18 to 9 computations (50% saved)

series7.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite66.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
707×pow1_binary64
657×add-log-exp_binary64
657×log1p-expm1-u_binary64
657×expm1-log1p-u_binary64
642×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115010
2184610
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (/.f64 1/3 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x x) 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 1/3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 1/3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 x x)) (neg.f64 y))))) (#(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 (*.f64 x x) (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y 3))) 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 (*.f64 x x) (*.f64 y 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 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 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 y 3))))))))

simplify137.0ms (1.8%)

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
46 → 24
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)))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (+.f64 x -4))
✓6.3b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series5.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite104.0ms (1.4%)

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))))))

simplify71.0ms (0.9%)

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))

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
✓0.5b
(/.f64 (-.f64 1 x) (*.f64 3 y))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite90.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
578×log-prod_binary64
389×pow-prod-down_binary64
298×pow2_binary64
278×prod-diff_binary64
209×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
122326
2321026
Stop Event
1×node limit
Counts
2 → 153
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) (*.f64 3 y))
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
Outputs
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#<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 (-.f64 1 x) 1/3)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 1 x) 1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 (-.f64 1 x) (/.f64 1/3 y))) (*.f64 (neg.f64 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) 3) (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 3 x))) (/.f64 (-.f64 1 x) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 3 x))) (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 3 x))) (/.f64 (-.f64 1 x) y)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 3 x))) (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 3 y) (*.f64 (-.f64 1 x) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (/.f64 y (*.f64 (-.f64 1 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 27 (pow.f64 x 3)) (*.f64 (/.f64 y (*.f64 (-.f64 1 x) 1/3)) (fma.f64 x (+.f64 x 3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 x x)) (*.f64 (/.f64 y (*.f64 (-.f64 1 x) 1/3)) (+.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 27 (pow.f64 x 3))) (*.f64 (*.f64 3 y) (fma.f64 x (+.f64 x 3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (-.f64 27 (pow.f64 x 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(*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) (-.f64 1 x)) (*.f64 (+.f64 x 3) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) (neg.f64 (-.f64 1 x))) (*.f64 (fma.f64 x (+.f64 x 3) 9) (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) (neg.f64 (-.f64 1 x))) (*.f64 (+.f64 x 3) (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) (*.f64 (-.f64 1 x) 1/3)) (*.f64 (fma.f64 x (+.f64 x 3) 9) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) (*.f64 (+.f64 x 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 1) (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (-.f64 3 x)) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 x) 1/3) (-.f64 3 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (/.f64 1/3 y))) (fma.f64 x (+.f64 x 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) (/.f64 1/3 y))) (+.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 9 (*.f64 x x))) (+.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (neg.f64 (-.f64 1 x))) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) 1/3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 y) (*.f64 (-.f64 1 x) (-.f64 3 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 3 x))) (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (-.f64 3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (*.f64 (neg.f64 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) 3 (*.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (neg.f64 x)))))))

simplify69.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
874×unsub-neg_binary64
792×fma-def_binary64
403×distribute-rgt-in_binary64
380×distribute-lft-in_binary64
377×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030650
168648
2141636
3362549
41281529
55356529
Stop Event
1×node limit
Counts
201 → 170
Calls
Call 1
Inputs
(/.f64 1/3 y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (*.f64 1/3 (/.f64 1 y)))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (*.f64 1/3 (/.f64 1 y)))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (*.f64 1/3 (/.f64 1 y)))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (*.f64 1/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 x y)))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (*.f64 1/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
Outputs
(/.f64 1/3 y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (*.f64 1/3 (/.f64 1 y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (*.f64 1/3 (/.f64 1 y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (*.f64 1/3 (/.f64 1 y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 -1/3 (/.f64 x y))
(*.f64 (/.f64 -1/3 y) x)
(*.f64 x (/.f64 -1/3 y))
(+.f64 (*.f64 1/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(+.f64 (*.f64 1/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(+.f64 (*.f64 1/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 -1/3 (/.f64 x y))
(*.f64 (/.f64 -1/3 y) x)
(*.f64 x (/.f64 -1/3 y))
(+.f64 (*.f64 1/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(+.f64 (*.f64 1/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(+.f64 (*.f64 1/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(*.f64 1/3 (/.f64 (-.f64 1 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1/3 y))
(/.f64 (fma.f64 -1/3 x 1/3) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))
(fma.f64 x (/.f64 -4/3 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 (/.f64 x y) -4/3)))
(+.f64 (/.f64 1 y) (fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 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 (/.f64 x y) -4/3)))
(+.f64 (/.f64 1 y) (fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 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 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 x (/.f64 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 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 x y) -4/3))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 1/3 x)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)))
(+.f64 (/.f64 1 y) (fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 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 (/.f64 x y) -4/3)))
(+.f64 (/.f64 1 y) (fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 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 (/.f64 1/3 y) (*.f64 x x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 x (/.f64 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 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 x y) -4/3))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (*.f64 x (/.f64 -4/3 y)))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 1/3 x)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)))
(+.f64 (/.f64 1 y) (fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 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 (/.f64 x y) -4/3)))
(+.f64 (/.f64 1 y) (fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 (*.f64 x x) y))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 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 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(/.f64 (fma.f64 -1/3 x 1) (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(/.f64 (fma.f64 -1/3 x 1) (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(/.f64 (fma.f64 -1/3 x 1) (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(/.f64 (fma.f64 -1/3 x 1) (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(/.f64 (fma.f64 -1/3 x 1) (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(/.f64 (fma.f64 -1/3 x 1) (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(/.f64 (fma.f64 -1/3 x 1) (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(/.f64 (fma.f64 -1/3 x 1) (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(/.f64 (fma.f64 -1/3 x 1) (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(/.f64 (fma.f64 -1/3 x 1) (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(/.f64 (fma.f64 -1/3 x 1) (/.f64 y (-.f64 1 x)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(/.f64 (fma.f64 -1/3 x 1) (/.f64 y (-.f64 1 x)))

eval301.0ms (3.9%)

Compiler

Compiled 10094 to 7218 computations (28.5% saved)

prune110.0ms (1.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New55512567
Fresh639
Picked101
Done314
Total56516581
Error
0b
Counts
581 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
24.4b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
▶38.9b
(*.f64 1/3 (*.f64 x (/.f64 x y)))
▶0.3b
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
6.5b
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y) 3)
38.3b
(*.f64 (/.f64 (+.f64 x -4) y) (/.f64 x 3))
38.9b
(*.f64 1/3 (/.f64 x (/.f64 y x)))
38.9b
(*.f64 x (*.f64 (/.f64 1/3 y) x))
61.3b
(*.f64 x (/.f64 -4/3 y))
✓24.5b
(/.f64 1 y)
24.7b
(/.f64 3 (*.f64 y 3))
▶38.3b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
▶24.6b
(*.f64 (-.f64 1 x) (/.f64 1 y))
▶61.3b
(*.f64 -4/3 (/.f64 x y))
45.1b
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
38.5b
(*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))
45.3b
(/.f64 (*.f64 x x) (*.f64 y 3))
Compiler

Compiled 295 to 216 computations (26.8% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 37 to 25 computations (32.4% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite328.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
628×log-prod_binary64
520×prod-diff_binary64
315×pow2_binary64
294×egg-rr
274×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
123729
2354429
Stop Event
1×node limit
Counts
2 → 331
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
Outputs
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simplify77.0ms (1%)

Algorithm
1×egg-herbie
Rules
765×unsub-neg_binary64
759×fma-def_binary64
350×distribute-rgt-neg-out_binary64
342×distribute-neg-out_binary64
325×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031736
175732
2148720
3363688
41227632
54738632
Stop Event
1×node limit
Counts
379 → 353
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))
(/.f64 3 y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -4 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.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 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 (/.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 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(/.f64 3 y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -4 (/.f64 x y)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) -4))
(fma.f64 (/.f64 x y) -4 (/.f64 3 y))
(fma.f64 x (/.f64 -4 y) (/.f64 3 y))
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4)))
(fma.f64 (/.f64 x y) (+.f64 x -4) (/.f64 3 y))
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4)))
(fma.f64 (/.f64 x y) (+.f64 x -4) (/.f64 3 y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) (+.f64 x -4))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4)))
(fma.f64 (/.f64 x y) (+.f64 x -4) (/.f64 3 y))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4)))
(fma.f64 (/.f64 x y) (+.f64 x -4) (/.f64 3 y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x)))
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) (+.f64 x -4))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4)))
(fma.f64 (/.f64 x y) (+.f64 x -4) (/.f64 3 y))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4 (/.f64 3 y)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4)))
(fma.f64 (/.f64 x y) (+.f64 x -4) (/.f64 3 y))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 6 computations (53.8% saved)

series4.0ms (0%)

Counts
1 → 0
Calls

6 calls:

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

rewrite52.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
653×pow1_binary64
608×add-log-exp_binary64
608×log1p-expm1-u_binary64
608×expm1-log1p-u_binary64
596×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11277
216127
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 -4/3 (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4/3 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4/3 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 -4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4/3 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -4/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4/3 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4/3 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4/3 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4/3 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4/3) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4/3 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4/3 (/.f64 x y))))))))

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite64.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114817
2189217
Stop Event
1×node limit
Counts
2 → 39
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 x 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 x (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 1/3 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x y))))))))

simplify142.0ms (1.8%)

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
08408
116408
231408
362408
4169408
5615408
62654408
73723408
83933408
94152408
104380408
114718408
126225408
136892408
147688408
Stop Event
1×node limit
Counts
87 → 43
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
Outputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 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)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))

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)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite59.0ms (0.8%)

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)))))))

simplify30.0ms (0.4%)

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)))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 26 to 16 computations (38.5% saved)

series6.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

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

rewrite88.0ms (1.2%)

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 x 1/3)
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(+.f64 -4/3 (*.f64 x 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (log.f64 (*.f64 (pow.f64 x 3) 1/27)) 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))))))
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((#(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)))))

simplify71.0ms (0.9%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
017486
137486
270486
3136360
4372360
51318360
63698360
77073360
Stop Event
1×node limit
Counts
201 → 163
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -4/3 (/.f64 x y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y)
-4/3
(-.f64 (*.f64 1/3 x) 4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(*.f64 1/3 x)
(-.f64 (*.f64 1/3 x) 4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(*.f64 1/3 x)
(-.f64 (*.f64 1/3 x) 4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(-.f64 (*.f64 1/3 x) 4/3)
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) 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 y (*.f64 x x)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 1/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) 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 y (*.f64 x x)))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (*.f64 1/3 (/.f64 x y)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -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 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -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 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -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 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -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 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -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 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -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 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -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 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -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 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -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 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -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 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -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 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -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 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y)))
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))
-4/3
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(*.f64 1/3 x)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(*.f64 1/3 x)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)
(-.f64 (*.f64 1/3 x) 4/3)
(fma.f64 1/3 x -4/3)

eval404.0ms (5.3%)

Compiler

Compiled 19013 to 12509 computations (34.2% saved)

prune102.0ms (1.3%)

Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New61013623
Fresh5510
Picked101
Done235
Total61821639
Error
0b
Counts
639 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
24.4b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
▶61.3b
(/.f64 (*.f64 -4/3 x) y)
24.7b
(/.f64 3 (*.f64 y 3))
38.9b
(*.f64 1/3 (/.f64 x (/.f64 y x)))
▶45.1b
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
24.7b
(/.f64 (/.f64 3 y) 3)
61.3b
(/.f64 -4/3 (/.f64 y x))
✓0.3b
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
38.3b
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
61.3b
(*.f64 x (/.f64 -4/3 y))
38.9b
(*.f64 x (*.f64 (/.f64 1/3 y) x))
✓24.5b
(/.f64 1 y)
✓61.3b
(*.f64 -4/3 (/.f64 x y))
▶45.1b
(*.f64 1/3 (/.f64 (*.f64 x x) y))
▶6.5b
(/.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) 3)
38.9b
(*.f64 x (*.f64 1/3 (/.f64 x y)))
38.3b
(*.f64 (/.f64 (+.f64 x -4) y) (/.f64 x 3))
38.9b
(/.f64 (*.f64 x (/.f64 x y)) 3)
▶61.3b
(/.f64 (neg.f64 x) y)
38.5b
(*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))
24.6b
(/.f64 (-.f64 1 x) y)
Compiler

Compiled 343 to 249 computations (27.4% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 3 x) (-.f64 1 x))
✓0.2b
(/.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) 3)
✓5.9b
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
Compiler

Compiled 39 to 27 computations (30.8% saved)

series5.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

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

rewrite100.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
578×log-prod_binary64
368×pow-prod-down_binary64
301×pow2_binary64
225×log-div_binary64
221×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01039
122939
2326039
Stop Event
1×node limit
Counts
3 → 140
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
(/.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) 3)
(*.f64 (-.f64 3 x) (-.f64 1 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) (/.f64 1 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) (*.f64 (/.f64 1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 (-.f64 3 x))) y) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) 3) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 3 x) (-.f64 1 x))) 2) 3) (/.f64 (cbrt.f64 (*.f64 (-.f64 3 x) (-.f64 1 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 3 x) (-.f64 1 x))) 3) (/.f64 (sqrt.f64 (*.f64 (-.f64 3 x) (-.f64 1 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))) 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 3 x) (-.f64 1 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 3 x)) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (-.f64 1 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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(fma.f64 x x x)) (+.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 9 (*.f64 x x))) (*.f64 (+.f64 x 1) (+.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) (-.f64 1 x)) (fma.f64 x (+.f64 3 x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) (-.f64 1 x)) (+.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 3 x)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 3 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 27 (pow.f64 x 3))) (fma.f64 x (+.f64 3 x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 9 (*.f64 x x))) (+.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 3 x) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 3 x) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 3 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 3 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 3 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 3 x) (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (-.f64 1 x) (*.f64 (neg.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 3 x) 1 (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 3 x) 1 (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 3 x) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 3 x) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 3 (*.f64 (-.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 3 x)) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 3 x)) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (cbrt.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (cbrt.f64 (-.f64 3 x)) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 (-.f64 3 x)) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 3 x) 9)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 3 x) 9)) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 x x)) (/.f64 1 (+.f64 3 x)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 x x)) (/.f64 1 (+.f64 3 x)) (*.f64 (-.f64 3 x) (neg.f64 x)))))))

simplify90.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
852×fma-def_binary64
786×unsub-neg_binary64
347×distribute-rgt-neg-out_binary64
342×distribute-neg-out_binary64
325×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035678
184664
2172640
3403608
41295552
54924552
Stop Event
1×node limit
Counts
188 → 170
Calls
Call 1
Inputs
(/.f64 3 y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -4 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(/.f64 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 3 y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -4 (/.f64 x y)))
(+.f64 (/.f64 3 y) (*.f64 -4 (/.f64 x y)))
(fma.f64 -4 (/.f64 x y) (/.f64 3 y))
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (*.f64 (/.f64 x y) x)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 -4 x)))
(fma.f64 (/.f64 x y) (+.f64 -4 x) (/.f64 3 y))
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (*.f64 (/.f64 x y) x)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 -4 x)))
(fma.f64 (/.f64 x y) (+.f64 -4 x) (/.f64 3 y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 -4 (/.f64 x y) (/.f64 x (/.f64 y x)))
(fma.f64 -4 (/.f64 x y) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) (+.f64 -4 x))
(/.f64 (*.f64 x (+.f64 -4 x)) y)
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (*.f64 (/.f64 x y) x)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 -4 x)))
(fma.f64 (/.f64 x y) (+.f64 -4 x) (/.f64 3 y))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (*.f64 (/.f64 x y) x)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 -4 x)))
(fma.f64 (/.f64 x y) (+.f64 -4 x) (/.f64 3 y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))
(fma.f64 -4 (/.f64 x y) (/.f64 x (/.f64 y x)))
(fma.f64 -4 (/.f64 x y) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) (+.f64 -4 x))
(/.f64 (*.f64 x (+.f64 -4 x)) y)
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (*.f64 (/.f64 x y) x)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 -4 x)))
(fma.f64 (/.f64 x y) (+.f64 -4 x) (/.f64 3 y))
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (*.f64 (/.f64 x y) x)))
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 -4 x)))
(fma.f64 (/.f64 x y) (+.f64 -4 x) (/.f64 3 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))
(fma.f64 x (/.f64 -4/3 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 (/.f64 x y) -4/3)))
(+.f64 (/.f64 1 y) (fma.f64 (/.f64 x y) -4/3 (*.f64 (/.f64 x (/.f64 y x)) 1/3)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 (/.f64 x y) x) 1/3 (/.f64 1 y)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 x (/.f64 x y)) 1/3 (/.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 (/.f64 x y) -4/3)))
(+.f64 (/.f64 1 y) (fma.f64 (/.f64 x y) -4/3 (*.f64 (/.f64 x (/.f64 y x)) 1/3)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 (/.f64 x y) x) 1/3 (/.f64 1 y)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 x (/.f64 x y)) 1/3 (/.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 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 x (/.f64 y x)) 1/3)
(/.f64 (*.f64 x 1/3) (/.f64 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 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 (*.f64 (/.f64 x (/.f64 y x)) 1/3))
(fma.f64 (/.f64 x y) -4/3 (/.f64 (*.f64 x 1/3) (/.f64 y x)))
(fma.f64 (/.f64 x y) -4/3 (*.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 (/.f64 x y) -4/3)))
(+.f64 (/.f64 1 y) (fma.f64 (/.f64 x y) -4/3 (*.f64 (/.f64 x (/.f64 y x)) 1/3)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 (/.f64 x y) x) 1/3 (/.f64 1 y)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 x (/.f64 x y)) 1/3 (/.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 (/.f64 x y) -4/3)))
(+.f64 (/.f64 1 y) (fma.f64 (/.f64 x y) -4/3 (*.f64 (/.f64 x (/.f64 y x)) 1/3)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 (/.f64 x y) x) 1/3 (/.f64 1 y)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 x (/.f64 x y)) 1/3 (/.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 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 x (/.f64 y x)) 1/3)
(/.f64 (*.f64 x 1/3) (/.f64 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 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 (*.f64 (/.f64 x (/.f64 y x)) 1/3))
(fma.f64 (/.f64 x y) -4/3 (/.f64 (*.f64 x 1/3) (/.f64 y x)))
(fma.f64 (/.f64 x y) -4/3 (*.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 (/.f64 x y) -4/3)))
(+.f64 (/.f64 1 y) (fma.f64 (/.f64 x y) -4/3 (*.f64 (/.f64 x (/.f64 y x)) 1/3)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 (/.f64 x y) x) 1/3 (/.f64 1 y)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 x (/.f64 x y)) 1/3 (/.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 (/.f64 x y) -4/3)))
(+.f64 (/.f64 1 y) (fma.f64 (/.f64 x y) -4/3 (*.f64 (/.f64 x (/.f64 y x)) 1/3)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 (/.f64 x y) x) 1/3 (/.f64 1 y)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 x (/.f64 x y)) 1/3 (/.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 1/3 (*.f64 (/.f64 (-.f64 3 x) 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 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 3 x) 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 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 3 x) 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 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 3 x) 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 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 3 x) 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 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 3 x) 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 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 3 x) 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 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 3 x) 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 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 3 x) 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 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 3 x) 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 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 3 x) 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 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 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 1/3 (*.f64 (/.f64 (-.f64 3 x) 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 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
3
(+.f64 3 (*.f64 -4 x))
(fma.f64 -4 x 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 -4 x) 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 -4 x) 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 x (+.f64 -4 x))
(+.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 -4 x) 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 -4 x) 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 x (+.f64 -4 x))
(+.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 -4 x) 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 -4 x) 3)

localize5.0ms (0.1%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

9 calls:

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

rewrite82.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
685×pow1_binary64
641×add-log-exp_binary64
641×log1p-expm1-u_binary64
641×expm1-log1p-u_binary64
628×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
112711
2168011
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(*.f64 -4/3 x)
(/.f64 (*.f64 -4/3 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -4/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4/3 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (*.f64 x (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -4/3 (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4/3 x) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4/3 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -4/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4/3 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 -4/3 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -4/3 (/.f64 x y))) 2) (cbrt.f64 (*.f64 -4/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -4/3 x)) 2) (*.f64 (cbrt.f64 (*.f64 -4/3 x)) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4/3 (/.f64 x y))) (sqrt.f64 (*.f64 -4/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4/3 x)) (*.f64 (sqrt.f64 (*.f64 -4/3 x)) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4/3) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (*.f64 -4/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 -4/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -4/3 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 -4/3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -4/3 x)) 1) (/.f64 (sqrt.f64 (*.f64 -4/3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 -4/3 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 -4/3 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -4/3 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 -4/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -4/3 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 -4/3 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -4/3 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 -4/3 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -4/3 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 -4/3 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4/3 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4/3 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4/3 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4/3 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 -4/3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -4/3 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -4/3 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -4/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4/3 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -4/3 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4/3 (/.f64 x y))))))))

simplify12.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
1×saturated
Counts
76 → 52
Calls
Call 1
Inputs
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
Outputs
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 1/3 (/.f64 (*.f64 x x) y))
✓10.3b
(/.f64 (*.f64 x x) y)
Compiler

Compiled 20 to 7 computations (65% saved)

series41.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
38.0ms
x
@0
(/.f64 (*.f64 x x) y)
0.0ms
x
@-inf
(/.f64 (*.f64 x x) y)
0.0ms
x
@inf
(/.f64 (*.f64 x x) y)
0.0ms
y
@-inf
(/.f64 (*.f64 x x) y)
0.0ms
x
@0
(*.f64 1/3 (/.f64 (*.f64 x x) y))

rewrite67.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114917
2193117
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) y)
(*.f64 1/3 (/.f64 (*.f64 x x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 2) (cbrt.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 (/.f64 x y) x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x x) 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 1/3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 1/3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (neg.f64 x)) 1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 x (neg.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/3) (/.f64 x (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (/.f64 (pow.f64 x 4) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/3)))))))

simplify143.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
717×associate-/l/_binary64
524×associate-*l*_binary64
497×*-commutative_binary64
483×associate-*l/_binary64
470×sqr-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08408
116408
231408
362408
4165408
5606408
62650408
73720408
83930408
94149408
104377408
114713408
126323408
136988408
147783408
Stop Event
1×node limit
Counts
103 → 59
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(*.f64 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 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 1/3 x) x)
✓0.4b
(*.f64 1/3 x)
✓10.2b
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

12 calls:

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

rewrite70.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
114821
2198121
Stop Event
1×node limit
Counts
3 → 69
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (/.f64 (*.f64 x x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (*.f64 x x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 1/3 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (*.f64 x x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 (/.f64 (*.f64 x x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 2) (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y))) (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y))) 2) (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/3) x) (*.f64 (*.f64 (sqrt.f64 1/3) x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/3) x) (sqrt.f64 y)) (/.f64 (*.f64 (sqrt.f64 1/3) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (*.f64 x x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 1/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 x) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/3) x) 1) (/.f64 (*.f64 (sqrt.f64 1/3) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 1/3 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 1/3 (*.f64 x x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/3) x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (sqrt.f64 1/3) x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 (*.f64 x x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (*.f64 1/3 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 1/3) x) (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 y (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 x x) y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/3) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 1/3 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 x x))))))))

simplify150.0ms (2%)

Algorithm
1×egg-herbie
Rules
771×sqr-pow_binary64
555×associate-*l*_binary64
473×*-commutative_binary64
416×unswap-sqr_binary64
352×cube-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09324
117324
234324
371324
4195324
5706324
62552324
73994324
84150324
94360324
104578324
114903324
125297324
135894324
146583324
157353324
Stop Event
1×node limit
Counts
105 → 73
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
Outputs
(*.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 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 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 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))

eval132.0ms (1.7%)

Compiler

Compiled 4595 to 3049 computations (33.6% saved)

prune101.0ms (1.3%)

Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New3531354
Fresh11213
Picked011
Done077
Total35421375
Error
0b
Counts
375 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
24.4b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
✓61.3b
(/.f64 (*.f64 -4/3 x) y)
24.7b
(/.f64 3 (*.f64 y 3))
38.9b
(*.f64 1/3 (/.f64 x (/.f64 y x)))
✓45.1b
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
24.7b
(/.f64 (/.f64 3 y) 3)
61.3b
(/.f64 -4/3 (/.f64 y x))
✓0.3b
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
38.3b
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
38.9b
(*.f64 x (*.f64 (/.f64 1/3 y) x))
✓24.5b
(/.f64 1 y)
✓61.3b
(*.f64 -4/3 (/.f64 x y))
✓45.1b
(*.f64 1/3 (/.f64 (*.f64 x x) y))
✓6.5b
(/.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) 3)
38.9b
(*.f64 x (*.f64 1/3 (/.f64 x y)))
38.3b
(*.f64 (/.f64 (+.f64 x -4) y) (/.f64 x 3))
38.9b
(/.f64 (*.f64 x (/.f64 x y)) 3)
61.3b
(*.f64 (/.f64 -4/3 y) x)
✓61.3b
(/.f64 (neg.f64 x) y)
38.5b
(*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))
24.6b
(/.f64 (-.f64 1 x) y)
Compiler

Compiled 184 to 134 computations (27.2% saved)

regimes209.0ms (2.7%)

Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 3 y))))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) 3)
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y) 3)
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
(*.f64 (/.f64 (+.f64 x -4) y) (/.f64 x 3))
(*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 x (*.f64 1/3 (/.f64 x y)))
(/.f64 (*.f64 x (/.f64 x y)) 3)
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 1/3 y) x))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 (/.f64 -4/3 y) x)
(/.f64 (*.f64 -4/3 x) y)
(/.f64 (/.f64 3 y) 3)
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (-.f64 1 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 3 (*.f64 y 3))
(/.f64 (neg.f64 x) y)
(/.f64 1 y)
Outputs
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
Calls

7 calls:

60.0ms
y
32.0ms
(*.f64 y 3)
25.0ms
x
23.0ms
(*.f64 y 3)
22.0ms
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1y
0.2b1(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
0.2b1(*.f64 (-.f64 1 x) (-.f64 3 x))
0.2b1(*.f64 (-.f64 1 x) (-.f64 3 x))
0.2b1(*.f64 y 3)
0.2b1(*.f64 y 3)
Compiler

Compiled 383 to 248 computations (35.2% saved)

regimes144.0ms (1.9%)

Counts
39 → 1
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) 3)
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y) 3)
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
(*.f64 (/.f64 (+.f64 x -4) y) (/.f64 x 3))
(*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 x (*.f64 1/3 (/.f64 x y)))
(/.f64 (*.f64 x (/.f64 x y)) 3)
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 x (*.f64 (/.f64 1/3 y) x))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 (/.f64 -4/3 y) x)
(/.f64 (*.f64 -4/3 x) y)
(/.f64 (/.f64 3 y) 3)
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (-.f64 1 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 3 (*.f64 y 3))
(/.f64 (neg.f64 x) y)
(/.f64 1 y)
Outputs
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
Calls

7 calls:

26.0ms
(*.f64 y 3)
24.0ms
x
23.0ms
(*.f64 y 3)
22.0ms
y
21.0ms
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
0.3b1(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
0.3b1(*.f64 (-.f64 1 x) (-.f64 3 x))
0.3b1(*.f64 (-.f64 1 x) (-.f64 3 x))
0.3b1(*.f64 y 3)
0.3b1(*.f64 y 3)
Compiler

Compiled 341 to 216 computations (36.7% saved)

regimes318.0ms (4.2%)

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

4 calls:

81.0ms
(*.f64 y 3)
81.0ms
(*.f64 y 3)
78.0ms
y
69.0ms
x
Results
ErrorSegmentsBranch
1.4b3x
19.1b4y
19.1b4(*.f64 y 3)
19.1b4(*.f64 y 3)
Compiler

Compiled 222 to 128 computations (42.3% saved)

bsearch81.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
0.0032627013708721782
24741.53040114193
41.0ms
-26.39673911123875
-0.04672273369055562
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes700.0ms (9.1%)

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

4 calls:

260.0ms
(*.f64 y 3)
142.0ms
y
139.0ms
(*.f64 y 3)
73.0ms
x
Results
ErrorSegmentsBranch
2.5b3x
17.8b6y
17.8b6(*.f64 y 3)
17.8b6(*.f64 y 3)
Compiler

Compiled 168 to 93 computations (44.6% saved)

bsearch99.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
61.0ms
0.0032627013708721782
24741.53040114193
37.0ms
-26.39673911123875
-0.04672273369055562
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes10.0ms (0.1%)

Accuracy

Total -37.0b remaining (-150.8%)

Threshold costs -37.0b (-150.8%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 (neg.f64 x) y)
(/.f64 1 y)
Outputs
(/.f64 1 y)
Calls

2 calls:

5.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
24.5b1x
24.5b1y
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
041129
156129
261129
363129
464129
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
(if (<=.f64 x -3715010763286595/140737488355328) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 60186217177420384/18446744073709551616) (/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3)) (*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))))
(if (<=.f64 x -3715010763286595/140737488355328) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 60186217177420384/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(/.f64 1 y)
Outputs
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
(if (<=.f64 x -3715010763286595/140737488355328) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 60186217177420384/18446744073709551616) (/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3)) (*.f64 (/.f64 x (*.f64 y 3)) (+.f64 x -4))))
(if (<=.f64 x -3715010763286595/140737488355328) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 1880819286794387/576460752303423488) (/.f64 (+.f64 3 (*.f64 x -4)) (*.f64 3 y)) (*.f64 (+.f64 x -4) (/.f64 x (*.f64 3 y)))))
(if (<=.f64 x -3715010763286595/140737488355328) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 60186217177420384/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(if (<=.f64 x -3715010763286595/140737488355328) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 1880819286794387/576460752303423488) (/.f64 (-.f64 1 x) y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(/.f64 1 y)
Compiler

Compiled 99 to 72 computations (27.3% saved)

soundness0.0ms (0%)

end58.0ms (0.8%)

Compiler

Compiled 91 to 63 computations (30.8% saved)

Profiling

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