Details

Time bar (total: 11.8s)

analyze89.0ms (0.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
51.6%50%46.8%0.1%3.1%0%0%7
60%56.2%37.5%0.1%6.2%0%0%8
70.8%62.4%25.8%0.1%11.7%0%0%9
76.4%65.6%20.3%0.1%14%0%0%10
83.6%68.7%13.5%0.1%17.8%0%0%11
87%70.2%10.5%0.1%19.1%0%0%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.5s (13.1%)

Results
1.4s8256×body256valid
117.0ms668×body256infinite
Bogosity

preprocess77.0ms (0.6%)

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)

simplify82.0ms (0.7%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
01016
12416
27116
320416
473216
5332314
6793514
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Outputs
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
(*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

eval1.0ms (0%)

Compiler

Compiled 23 to 17 computations (26.1% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
7.8b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶8.0b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
▶8.1b
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
Compiler

Compiled 25 to 19 computations (24% saved)

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1/3 y)
✓7.5b
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
Compiler

Compiled 29 to 20 computations (31% saved)

series12.0ms (0.1%)

Counts
2 → 24
Calls

9 calls:

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

rewrite97.0ms (0.8%)

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))))))

simplify112.0ms (0.9%)

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)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 x) (-.f64 3 x))
✓7.5b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series5.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite78.0ms (0.7%)

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 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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)))))))

simplify60.0ms (0.5%)

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)

eval82.0ms (0.7%)

Compiler

Compiled 3557 to 2652 computations (25.4% saved)

prune49.0ms (0.4%)

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
▶0.2b
(pow.f64 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))) -1)
7.9b
(*.f64 (/.f64 1 y) (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))
1.3b
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 3)
▶22.2b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
0.3b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
47.7b
(/.f64 (*.f64 x x) (*.f64 y 3))
0.2b
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))))
39.9b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
▶47.7b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
40.0b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
▶22.2b
(/.f64 1 y)
▶0.6b
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))
22.4b
(/.f64 3 (*.f64 y 3))
0.7b
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)
Compiler

Compiled 334 to 254 computations (24% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 3 (-.f64 1 x))
✓0.0b
(/.f64 y (-.f64 3 x))
✓0.1b
(pow.f64 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))) -1)
✓0.3b
(*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
Compiler

Compiled 47 to 34 computations (27.7% saved)

series19.0ms (0.2%)

Counts
4 → 72
Calls

21 calls:

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

rewrite92.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
670×log-prod_binary64
360×pow2_binary64
250×log-div_binary64
247×pow1/3_binary64
240×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01249
127646
2384846
Stop Event
1×node limit
Counts
4 → 160
Calls
Call 1
Inputs
(*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))
(pow.f64 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))) -1)
(/.f64 y (-.f64 3 x))
(/.f64 3 (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 3 y) (*.f64 (-.f64 1 x) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 3 y) (*.f64 (-.f64 1 x) (-.f64 3 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 3 y) (*.f64 (-.f64 1 x) (-.f64 3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 3 y) (*.f64 (-.f64 1 x) (-.f64 3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify92.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
654×fma-neg_binary64
477×associate-*l*_binary64
445×associate-*r*_binary64
435×associate-+l+_binary64
303×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01981595
16261554
220811359
376971359
Stop Event
1×node limit
Counts
232 → 229
Calls
Call 1
Inputs
y
(+.f64 (*.f64 4/3 (*.f64 y x)) y)
(+.f64 (*.f64 4/3 (*.f64 y x)) (+.f64 y (*.f64 -3 (*.f64 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y)) (pow.f64 x 2)))))
(+.f64 (*.f64 4/3 (*.f64 y x)) (+.f64 y (+.f64 (*.f64 -3 (*.f64 (+.f64 (*.f64 4/3 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y))) (*.f64 4/27 y)) (pow.f64 x 3))) (*.f64 -3 (*.f64 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y)) (pow.f64 x 2))))))
(*.f64 3 (/.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 12 (/.f64 y (pow.f64 x 3))) (*.f64 3 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 12 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 -16 y) (*.f64 3 y)) (pow.f64 x 4))) (*.f64 3 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 12 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 4 (+.f64 (*.f64 3 y) (*.f64 -16 y))) (*.f64 12 y)) (pow.f64 x 5))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 -16 y) (*.f64 3 y)) (pow.f64 x 4))) (*.f64 3 (/.f64 y (pow.f64 x 2))))))
(*.f64 3 (/.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 12 (/.f64 y (pow.f64 x 3))) (*.f64 3 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 12 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 -16 y) (*.f64 3 y)) (pow.f64 x 4))) (*.f64 3 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 12 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -12 y) (*.f64 -4 (+.f64 (*.f64 3 y) (*.f64 -16 y)))) (pow.f64 x 5))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 -16 y) (*.f64 3 y)) (pow.f64 x 4))) (*.f64 3 (/.f64 y (pow.f64 x 2))))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
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(+.f64 (/.f64 1 y) (+.f64 (*.f64 -4/3 (/.f64 x y)) (+.f64 (*.f64 (-.f64 (*.f64 16/9 (/.f64 1 y)) (*.f64 -3 (/.f64 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y)) (pow.f64 y 2)))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y)) (pow.f64 y 2))) (+.f64 (*.f64 4/3 (-.f64 (*.f64 16/9 (/.f64 1 y)) (*.f64 -3 (/.f64 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y)) (pow.f64 y 2))))) (*.f64 -3 (/.f64 (+.f64 (*.f64 4/3 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y))) (*.f64 4/27 y)) (pow.f64 y 2))))))))))
(*.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)))
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(*.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)))
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(*.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 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 y)
(+.f64 (*.f64 1/9 (*.f64 y x)) (*.f64 1/3 y))
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 y)))
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 1/3 y) (*.f64 1/81 (*.f64 y (pow.f64 x 3))))))
(*.f64 -1 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
3
(+.f64 (*.f64 3 x) 3)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 2)) 3))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 3 (pow.f64 x 2)) 3)))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
Outputs
y
(+.f64 (*.f64 4/3 (*.f64 y x)) y)
(fma.f64 4/3 (*.f64 y x) y)
(+.f64 (*.f64 4/3 (*.f64 y x)) (+.f64 y (*.f64 -3 (*.f64 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y)) (pow.f64 x 2)))))
(+.f64 (fma.f64 4/3 (*.f64 y x) y) (*.f64 (*.f64 -3 (*.f64 y -13/27)) (*.f64 x x)))
(fma.f64 4/3 (*.f64 y x) (fma.f64 -3 (*.f64 y (*.f64 -13/27 (*.f64 x x))) y))
(fma.f64 4/3 (*.f64 y x) (fma.f64 (*.f64 y 13/9) (*.f64 x x) y))
(+.f64 (*.f64 4/3 (*.f64 y x)) (+.f64 y (+.f64 (*.f64 -3 (*.f64 (+.f64 (*.f64 4/3 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y))) (*.f64 4/27 y)) (pow.f64 x 3))) (*.f64 -3 (*.f64 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y)) (pow.f64 x 2))))))
(+.f64 (fma.f64 4/3 (*.f64 y x) y) (*.f64 -3 (+.f64 (*.f64 (fma.f64 4/3 (*.f64 y -13/27) (*.f64 y 4/27)) (pow.f64 x 3)) (*.f64 (*.f64 y -13/27) (*.f64 x x)))))
(fma.f64 4/3 (*.f64 y x) (fma.f64 -3 (fma.f64 (fma.f64 y 4/27 (*.f64 y -52/81)) (pow.f64 x 3) (*.f64 y (*.f64 -13/27 (*.f64 x x)))) y))
(fma.f64 4/3 (*.f64 y x) (fma.f64 -3 (*.f64 (*.f64 x x) (+.f64 (*.f64 y -13/27) (*.f64 x (*.f64 y -40/81)))) y))
(*.f64 3 (/.f64 y (pow.f64 x 2)))
(*.f64 3 (/.f64 y (*.f64 x x)))
(*.f64 (/.f64 y x) (/.f64 3 x))
(+.f64 (*.f64 12 (/.f64 y (pow.f64 x 3))) (*.f64 3 (/.f64 y (pow.f64 x 2))))
(fma.f64 12 (/.f64 y (pow.f64 x 3)) (*.f64 3 (/.f64 y (*.f64 x x))))
(fma.f64 3 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y 12) (pow.f64 x 3)))
(*.f64 (/.f64 y (*.f64 x x)) (+.f64 3 (/.f64 12 x)))
(+.f64 (*.f64 12 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 -16 y) (*.f64 3 y)) (pow.f64 x 4))) (*.f64 3 (/.f64 y (pow.f64 x 2)))))
(fma.f64 12 (/.f64 y (pow.f64 x 3)) (fma.f64 -3 (/.f64 (*.f64 y -13) (pow.f64 x 4)) (*.f64 3 (/.f64 y (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 3 (/.f64 12 x))) (/.f64 (*.f64 y 39) (pow.f64 x 4)))
(+.f64 (*.f64 12 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 4 (+.f64 (*.f64 3 y) (*.f64 -16 y))) (*.f64 12 y)) (pow.f64 x 5))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 -16 y) (*.f64 3 y)) (pow.f64 x 4))) (*.f64 3 (/.f64 y (pow.f64 x 2))))))
(fma.f64 12 (/.f64 y (pow.f64 x 3)) (fma.f64 -3 (/.f64 (fma.f64 4 (*.f64 y -13) (*.f64 y 12)) (pow.f64 x 5)) (fma.f64 -3 (/.f64 (*.f64 y -13) (pow.f64 x 4)) (*.f64 3 (/.f64 y (*.f64 x x))))))
(fma.f64 12 (/.f64 y (pow.f64 x 3)) (fma.f64 -3 (/.f64 (fma.f64 y 12 (*.f64 y -52)) (pow.f64 x 5)) (fma.f64 -3 (/.f64 (*.f64 y -13) (pow.f64 x 4)) (*.f64 3 (/.f64 y (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 3 (/.f64 12 x))) (fma.f64 -3 (/.f64 (*.f64 y -40) (pow.f64 x 5)) (/.f64 (*.f64 y 39) (pow.f64 x 4))))
(*.f64 3 (/.f64 y (pow.f64 x 2)))
(*.f64 3 (/.f64 y (*.f64 x x)))
(*.f64 (/.f64 y x) (/.f64 3 x))
(+.f64 (*.f64 12 (/.f64 y (pow.f64 x 3))) (*.f64 3 (/.f64 y (pow.f64 x 2))))
(fma.f64 12 (/.f64 y (pow.f64 x 3)) (*.f64 3 (/.f64 y (*.f64 x x))))
(fma.f64 3 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y 12) (pow.f64 x 3)))
(*.f64 (/.f64 y (*.f64 x x)) (+.f64 3 (/.f64 12 x)))
(+.f64 (*.f64 12 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 -16 y) (*.f64 3 y)) (pow.f64 x 4))) (*.f64 3 (/.f64 y (pow.f64 x 2)))))
(fma.f64 12 (/.f64 y (pow.f64 x 3)) (fma.f64 -3 (/.f64 (*.f64 y -13) (pow.f64 x 4)) (*.f64 3 (/.f64 y (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 3 (/.f64 12 x))) (/.f64 (*.f64 y 39) (pow.f64 x 4)))
(+.f64 (*.f64 12 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -12 y) (*.f64 -4 (+.f64 (*.f64 3 y) (*.f64 -16 y)))) (pow.f64 x 5))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 -16 y) (*.f64 3 y)) (pow.f64 x 4))) (*.f64 3 (/.f64 y (pow.f64 x 2))))))
(fma.f64 12 (/.f64 y (pow.f64 x 3)) (fma.f64 -3 (/.f64 (fma.f64 4 (*.f64 y -13) (*.f64 y 12)) (pow.f64 x 5)) (fma.f64 -3 (/.f64 (*.f64 y -13) (pow.f64 x 4)) (*.f64 3 (/.f64 y (*.f64 x x))))))
(fma.f64 12 (/.f64 y (pow.f64 x 3)) (fma.f64 -3 (/.f64 (fma.f64 y 12 (*.f64 y -52)) (pow.f64 x 5)) (fma.f64 -3 (/.f64 (*.f64 y -13) (pow.f64 x 4)) (*.f64 3 (/.f64 y (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 3 (/.f64 12 x))) (fma.f64 -3 (/.f64 (*.f64 y -40) (pow.f64 x 5)) (/.f64 (*.f64 y 39) (pow.f64 x 4))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 (/.f64 y (-.f64 1 x)) (-.f64 3 x)))
(*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x)))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 (/.f64 y (-.f64 1 x)) (-.f64 3 x)))
(*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x)))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 (/.f64 y (-.f64 1 x)) (-.f64 3 x)))
(*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x)))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 (/.f64 y (-.f64 1 x)) (-.f64 3 x)))
(*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x)))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 (/.f64 y (-.f64 1 x)) (-.f64 3 x)))
(*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x)))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 (/.f64 y (-.f64 1 x)) (-.f64 3 x)))
(*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x)))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 (/.f64 y (-.f64 1 x)) (-.f64 3 x)))
(*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x)))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 (/.f64 y (-.f64 1 x)) (-.f64 3 x)))
(*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x)))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 (/.f64 y (-.f64 1 x)) (-.f64 3 x)))
(*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x)))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 (/.f64 y (-.f64 1 x)) (-.f64 3 x)))
(*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x)))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 (/.f64 y (-.f64 1 x)) (-.f64 3 x)))
(*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x)))
(*.f64 3 (/.f64 y (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 3 (/.f64 (/.f64 y (-.f64 1 x)) (-.f64 3 x)))
(*.f64 3 (/.f64 (/.f64 y (-.f64 3 x)) (-.f64 1 x)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -4/3 (/.f64 x y)) (*.f64 (-.f64 (*.f64 16/9 (/.f64 1 y)) (*.f64 -3 (/.f64 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y)) (pow.f64 y 2)))) (pow.f64 x 2))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (+.f64 (/.f64 16/9 y) (*.f64 3 (/.f64 (*.f64 y -13/27) (*.f64 y y)))))))
(+.f64 (/.f64 1 y) (fma.f64 (*.f64 x x) (+.f64 (/.f64 16/9 y) (*.f64 3 (/.f64 (/.f64 (*.f64 y -13/27) y) y))) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (*.f64 (*.f64 x x) (+.f64 (/.f64 16/9 y) (/.f64 -13/9 y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -4/3 (/.f64 x y)) (+.f64 (*.f64 (-.f64 (*.f64 16/9 (/.f64 1 y)) (*.f64 -3 (/.f64 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y)) (pow.f64 y 2)))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y)) (pow.f64 y 2))) (+.f64 (*.f64 4/3 (-.f64 (*.f64 16/9 (/.f64 1 y)) (*.f64 -3 (/.f64 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y)) (pow.f64 y 2))))) (*.f64 -3 (/.f64 (+.f64 (*.f64 4/3 (+.f64 (*.f64 1/9 y) (*.f64 -16/27 y))) (*.f64 4/27 y)) (pow.f64 y 2))))))))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (fma.f64 (+.f64 (/.f64 16/9 y) (*.f64 3 (/.f64 (*.f64 y -13/27) (*.f64 y y)))) (*.f64 x x) (neg.f64 (*.f64 (pow.f64 x 3) (fma.f64 4 (/.f64 (*.f64 y -13/27) (*.f64 y y)) (fma.f64 4/3 (+.f64 (/.f64 16/9 y) (*.f64 3 (/.f64 (*.f64 y -13/27) (*.f64 y y)))) (*.f64 -3 (/.f64 (fma.f64 4/3 (*.f64 y -13/27) (*.f64 y 4/27)) (*.f64 y y))))))))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 16/9 y) (*.f64 3 (/.f64 (/.f64 (*.f64 y -13/27) y) y)))) (*.f64 (pow.f64 x 3) (fma.f64 4 (/.f64 (/.f64 (*.f64 y -13/27) y) y) (fma.f64 4/3 (+.f64 (/.f64 16/9 y) (*.f64 3 (/.f64 (/.f64 (*.f64 y -13/27) y) y))) (/.f64 (*.f64 -3 (fma.f64 y 4/27 (*.f64 y -52/81))) (*.f64 y y)))))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 16/9 y) (/.f64 -13/9 y)) (*.f64 x (+.f64 (/.f64 -52/27 y) (fma.f64 -3 (/.f64 (*.f64 y -40/81) (*.f64 y y)) (+.f64 (/.f64 -52/27 y) (/.f64 64/27 y))))))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(+.f64 (*.f64 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 (*.f64 x x) y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -4/3 (/.f64 x y)) (*.f64 16/3 (/.f64 1 y)))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 3 y) (*.f64 -16 y)) (pow.f64 y 2))))
(-.f64 (fma.f64 1/3 (/.f64 (*.f64 x x) y) (fma.f64 -4/3 (/.f64 x y) (/.f64 16/3 y))) (*.f64 -1/3 (/.f64 (*.f64 y -13) (*.f64 y y))))
(+.f64 (fma.f64 1/3 (/.f64 (*.f64 x x) y) (fma.f64 -4/3 (/.f64 x y) (/.f64 16/3 y))) (*.f64 1/3 (*.f64 (/.f64 y y) (/.f64 -13 y))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 16/3 y)) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 -13/3 y)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 16/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 -16 y) (*.f64 3 y)) (pow.f64 y 2))))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 3 y) (*.f64 -16 y)) (pow.f64 y 2))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 4 (+.f64 (*.f64 -16 y) (*.f64 3 y))) (*.f64 12 y)) (pow.f64 y 2))))) x)) (+.f64 (*.f64 -4/3 (/.f64 x y)) (*.f64 16/3 (/.f64 1 y))))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 3 y) (*.f64 -16 y)) (pow.f64 y 2))))
(+.f64 (fma.f64 1/3 (/.f64 (*.f64 x x) y) (fma.f64 -1 (/.f64 (fma.f64 4 (-.f64 (/.f64 16/3 y) (*.f64 -1/3 (/.f64 (*.f64 y -13) (*.f64 y y)))) (fma.f64 4/3 (/.f64 (*.f64 y -13) (*.f64 y y)) (*.f64 -1/3 (/.f64 (fma.f64 4 (*.f64 y -13) (*.f64 y 12)) (*.f64 y y))))) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 16/3 y)))) (*.f64 1/3 (/.f64 (*.f64 y -13) (*.f64 y y))))
(+.f64 (fma.f64 1/3 (/.f64 (*.f64 x x) y) (-.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 16/3 y)) (/.f64 (fma.f64 4 (+.f64 (/.f64 16/3 y) (*.f64 1/3 (*.f64 (/.f64 y y) (/.f64 -13 y)))) (fma.f64 -1/3 (/.f64 (fma.f64 y 12 (*.f64 y -52)) (*.f64 y y)) (*.f64 4/3 (*.f64 (/.f64 y y) (/.f64 -13 y))))) x))) (*.f64 1/3 (*.f64 (/.f64 y y) (/.f64 -13 y))))
(+.f64 (-.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 16/3 y)) (/.f64 (+.f64 (+.f64 (/.f64 -52/3 y) (/.f64 64/3 y)) (fma.f64 -1/3 (/.f64 (*.f64 y -40) (*.f64 y y)) (/.f64 -52/3 y))) x)) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 -13/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 1/3 y) (*.f64 x x))
(+.f64 (*.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 (*.f64 x x) y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -4/3 (/.f64 x y)) (*.f64 16/3 (/.f64 1 y)))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 3 y) (*.f64 -16 y)) (pow.f64 y 2))))
(-.f64 (fma.f64 1/3 (/.f64 (*.f64 x x) y) (fma.f64 -4/3 (/.f64 x y) (/.f64 16/3 y))) (*.f64 -1/3 (/.f64 (*.f64 y -13) (*.f64 y y))))
(+.f64 (fma.f64 1/3 (/.f64 (*.f64 x x) y) (fma.f64 -4/3 (/.f64 x y) (/.f64 16/3 y))) (*.f64 1/3 (*.f64 (/.f64 y y) (/.f64 -13 y))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 16/3 y)) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 -13/3 y)))
(-.f64 (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 -12 y) (*.f64 -4 (+.f64 (*.f64 -16 y) (*.f64 3 y)))) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -4/3 (/.f64 x y)) (+.f64 (*.f64 -4 (/.f64 (-.f64 (*.f64 16/3 (/.f64 1 y)) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 -16 y) (*.f64 3 y)) (pow.f64 y 2)))) x)) (+.f64 (*.f64 16/3 (/.f64 1 y)) (*.f64 -4/3 (/.f64 (+.f64 (*.f64 3 y) (*.f64 -16 y)) (*.f64 (pow.f64 y 2) x)))))))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 3 y) (*.f64 -16 y)) (pow.f64 y 2))))
(+.f64 (fma.f64 -1/3 (/.f64 (fma.f64 -12 y (*.f64 (*.f64 y -13) -4)) (*.f64 x (*.f64 y y))) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (fma.f64 -4/3 (/.f64 x y) (fma.f64 -4 (/.f64 (-.f64 (/.f64 16/3 y) (*.f64 -1/3 (/.f64 (*.f64 y -13) (*.f64 y y)))) x) (+.f64 (/.f64 16/3 y) (*.f64 -4/3 (/.f64 (*.f64 y -13) (*.f64 x (*.f64 y y))))))))) (*.f64 1/3 (/.f64 (*.f64 y -13) (*.f64 y y))))
(fma.f64 -1/3 (/.f64 (fma.f64 y -12 (*.f64 y 52)) (*.f64 y (*.f64 y x))) (+.f64 (fma.f64 1/3 (/.f64 (*.f64 x x) y) (fma.f64 -4/3 (/.f64 x y) (fma.f64 -4 (/.f64 (+.f64 (/.f64 16/3 y) (*.f64 1/3 (*.f64 (/.f64 y y) (/.f64 -13 y)))) x) (fma.f64 -4/3 (*.f64 (/.f64 y x) (/.f64 -13 (*.f64 y y))) (/.f64 16/3 y))))) (*.f64 1/3 (*.f64 (/.f64 y y) (/.f64 -13 y)))))
(+.f64 (+.f64 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 16/3 y))) (/.f64 (/.f64 52/3 y) x)) (+.f64 (/.f64 (+.f64 (/.f64 -64/3 y) (/.f64 52/3 y)) x) (fma.f64 (/.f64 -1/3 x) (/.f64 (*.f64 y 40) (*.f64 y y)) (/.f64 -13/3 y))))
(+.f64 (+.f64 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 16/3 y))) (/.f64 (/.f64 52/3 y) x)) (+.f64 (/.f64 (+.f64 (/.f64 -64/3 y) (/.f64 52/3 y)) x) (fma.f64 (/.f64 (*.f64 y 40) (*.f64 y y)) (/.f64 -1/3 x) (/.f64 -13/3 y))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 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) (*.f64 (-.f64 1 x) 1/3)) y)
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 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) (*.f64 (-.f64 1 x) 1/3)) y)
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 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) (*.f64 (-.f64 1 x) 1/3)) y)
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 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) (*.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) 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 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) 1/3)) y)
(*.f64 1/3 y)
(*.f64 y 1/3)
(+.f64 (*.f64 1/9 (*.f64 y x)) (*.f64 1/3 y))
(fma.f64 1/9 (*.f64 y x) (*.f64 y 1/3))
(fma.f64 (*.f64 y 1/9) x (*.f64 y 1/3))
(*.f64 y (+.f64 1/3 (*.f64 x 1/9)))
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 y)))
(fma.f64 1/9 (*.f64 y x) (fma.f64 1/27 (*.f64 y (*.f64 x x)) (*.f64 y 1/3)))
(fma.f64 (*.f64 y x) 1/9 (fma.f64 1/27 (*.f64 y (*.f64 x x)) (*.f64 y 1/3)))
(fma.f64 (*.f64 y x) 1/9 (*.f64 y (+.f64 1/3 (*.f64 x (*.f64 x 1/27)))))
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 1/3 y) (*.f64 1/81 (*.f64 y (pow.f64 x 3))))))
(fma.f64 1/9 (*.f64 y x) (fma.f64 1/27 (*.f64 y (*.f64 x x)) (fma.f64 1/3 y (*.f64 1/81 (*.f64 y (pow.f64 x 3))))))
(fma.f64 (*.f64 y x) 1/9 (fma.f64 1/27 (*.f64 y (*.f64 x x)) (fma.f64 1/81 (*.f64 y (pow.f64 x 3)) (*.f64 y 1/3))))
(fma.f64 (*.f64 y x) 1/9 (fma.f64 1/27 (*.f64 y (*.f64 x x)) (*.f64 y (+.f64 1/3 (*.f64 (pow.f64 x 3) 1/81)))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(fma.f64 -3 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 y x)))
(fma.f64 -3 (/.f64 y (*.f64 x x)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x)))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(-.f64 (fma.f64 -3 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -9) (pow.f64 x 3))) (/.f64 y x))
(-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x))
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (-.f64 (fma.f64 -3 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -9) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(fma.f64 -3 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 y x)))
(fma.f64 -3 (/.f64 y (*.f64 x x)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x)))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(-.f64 (fma.f64 -3 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -9) (pow.f64 x 3))) (/.f64 y x))
(-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x))
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (-.f64 (fma.f64 -3 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -9) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x)))
3
(+.f64 (*.f64 3 x) 3)
(fma.f64 3 x 3)
(fma.f64 x 3 3)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 2)) 3))
(fma.f64 3 x (fma.f64 3 (*.f64 x x) 3))
(fma.f64 x 3 (fma.f64 (*.f64 x x) 3 3))
(+.f64 3 (*.f64 x (fma.f64 x 3 3)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 3 (pow.f64 x 2)) 3)))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 3 (*.f64 x x) 3)))
(fma.f64 x 3 (fma.f64 3 (pow.f64 x 3) (fma.f64 (*.f64 x x) 3 3)))
(+.f64 (fma.f64 x 3 3) (*.f64 x (*.f64 x (fma.f64 x 3 3))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 3 (*.f64 x x)))
(+.f64 (/.f64 -3 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 3 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (/.f64 -3 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 3 (*.f64 x x)) (+.f64 (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))) (/.f64 3 (pow.f64 x 4)))))
(-.f64 (/.f64 -3 (*.f64 x x)) (+.f64 (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))) (/.f64 3 (pow.f64 x 4))))
(-.f64 (-.f64 (/.f64 -3 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 4))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 3 (*.f64 x x)))
(+.f64 (/.f64 -3 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 3 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (/.f64 -3 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 3 (*.f64 x x)) (+.f64 (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))) (/.f64 3 (pow.f64 x 4)))))
(-.f64 (/.f64 -3 (*.f64 x x)) (+.f64 (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))) (/.f64 3 (pow.f64 x 4))))
(-.f64 (-.f64 (/.f64 -3 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 4))))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1/3 y)
✓10.7b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
Compiler

Compiled 18 to 9 computations (50% saved)

series8.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(*.f64 (*.f64 x x) (/.f64 1/3 y))
2.0ms
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))
0.0ms
y
@-inf
(*.f64 (*.f64 x x) (/.f64 1/3 y))

rewrite56.0ms (0.5%)

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))))))))

simplify127.0ms (1.1%)

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)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 14 computations (46.2% saved)

series6.0ms (0.1%)

Counts
2 → 15
Calls

12 calls:

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

rewrite70.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
912×prod-diff_binary64
454×log-prod_binary64
279×pow-prod-down_binary64
253×fma-def_binary64
246×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0920
119518
2267118
Stop Event
1×node limit
Counts
2 → 91
Calls
Call 1
Inputs
(*.f64 -4/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 -4/3 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 (*.f64 -4/3 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 -4/3 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 -4/3 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 -4/3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -4/3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 -4/3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 -4/3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 -4/3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 -4/3 x) y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 y -2) (/.f64 (-.f64 1 (*.f64 -4/3 x)) y)) (/.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2) (/.f64 (-.f64 1 (*.f64 -4/3 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 2) (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) (sqrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -64/27 (pow.f64 y -3)) (/.f64 1 (fma.f64 (/.f64 (*.f64 -4/3 x) y) (-.f64 (/.f64 (*.f64 -4/3 x) y) (/.f64 1 y)) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 -4/3 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (*.f64 -4/3 x) y) (-.f64 (/.f64 (*.f64 -4/3 x) y) (/.f64 1 y)) (pow.f64 y -2)) (fma.f64 (pow.f64 (/.f64 x y) 3) -64/27 (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 1 (*.f64 -4/3 x)) y) (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -64/27 (pow.f64 y -3)) (fma.f64 (/.f64 (*.f64 -4/3 x) y) (-.f64 (/.f64 (*.f64 -4/3 x) y) (/.f64 1 y)) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -64/27 (pow.f64 y -3)) 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y (*.f64 (neg.f64 y) (*.f64 -4/3 x))) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2) (pow.f64 y -2)) (-.f64 (/.f64 (*.f64 -4/3 x) y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 -4/3 x) y) (-.f64 (/.f64 (*.f64 -4/3 x) y) (/.f64 1 y)) (pow.f64 y -2)) (fma.f64 (pow.f64 (/.f64 x y) 3) -64/27 (pow.f64 y -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 -4/3 x)) y) (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -4/3 x) y))) (exp.f64 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)) (+.f64 1 (expm1.f64 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -4/3 x) y))) (+.f64 1 (expm1.f64 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 y))) (exp.f64 (/.f64 (*.f64 -4/3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 y)) (+.f64 1 (expm1.f64 (/.f64 (*.f64 -4/3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 y))) (+.f64 1 (expm1.f64 (/.f64 (*.f64 -4/3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (/.f64 1 y) -4/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 -4/3 x) y) 1 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 -4/3 x) y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 1 (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (pow.f64 y -2)) (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y)) (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) -4/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 -4/3 x) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 -4/3 x) y)) 2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 -4/3 x) y)) 2) (cbrt.f64 (/.f64 (*.f64 -4/3 x) y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) -4/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 -4/3 x) y)) (sqrt.f64 (/.f64 (*.f64 -4/3 x) y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 y)) (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 x) (/.f64 1 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 (/.f64 1 y)) (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 1 y))))))

simplify45.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
262×fma-def_binary64
237×fma-neg_binary64
69×cancel-sign-sub-inv_binary64
53×associate-/l*_binary64
49×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017138
133114
257114
395114
4176114
5350114
6724114
71145114
81318114
91351114
101407114
Stop Event
1×saturated
Counts
106 → 97
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(/.f64 1 y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
Outputs
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 1 y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 33 to 23 computations (30.3% saved)

series6.0ms (0%)

Counts
3 → 48
Calls

15 calls:

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

rewrite124.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
123730
2349830
Stop Event
1×node limit
Counts
3 → 181
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))
(/.f64 (-.f64 3 x) y)
(/.f64 (-.f64 1 x) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))) (/.f64 (-.f64 3 x) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))) (/.f64 (-.f64 3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))) (/.f64 (-.f64 3 x) y)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))) (/.f64 (-.f64 3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (*.f64 y (/.f64 3 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (*.f64 (/.f64 3 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (/.f64 (*.f64 3 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (/.f64 y (-.f64 1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 3 x) y) (/.f64 3 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (-.f64 3 x)) (/.f64 3 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (*.f64 (/.f64 y (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (*.f64 (/.f64 y (-.f64 3 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 3 x)) (*.f64 (/.f64 3 (-.f64 1 x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 3 x) (-.f64 1 x))) (neg.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) 1) (*.f64 (neg.f64 y) (/.f64 3 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) 1) (*.f64 -3 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) (-.f64 1 x)) (*.f64 (neg.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (neg.f64 (-.f64 1 x))) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) (neg.f64 (-.f64 1 x))) (*.f64 (neg.f64 y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (-.f64 3 x)) (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (neg.f64 (-.f64 3 x))) (*.f64 3 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 3 x))) (*.f64 -3 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3))) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3))) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3))) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) (-.f64 1/3 (*.f64 x 1/3))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (/.f64 (-.f64 3 x) y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 3 x) y) (neg.f64 (-.f64 1 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/3 (*.f64 x 1/3)) (neg.f64 (-.f64 3 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 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egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 3 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 3 x) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 3 x) y)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 2)) (cbrt.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (*.f64 (cbrt.f64 (-.f64 3 x)) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 3 x) y)) (sqrt.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 3 x)) (*.f64 (sqrt.f64 (-.f64 3 x)) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 3 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (-.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 3 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 3 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 3 x)) 1) (/.f64 (sqrt.f64 (-.f64 3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 3 x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (-.f64 3 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 3 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 3 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 3 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 3 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 3 x) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 3 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 3 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 3 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 3 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (pow.f64 y -1) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 3 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 3 y)) 2) (cbrt.f64 (/.f64 3 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 3 y)) (sqrt.f64 (/.f64 3 y)) (neg.f64 (/.f64 x y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1/3 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (neg.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/3 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1/3 (*.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1/3 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/3 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (*.f64 (cbrt.f64 (-.f64 1 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/3 (*.f64 x 1/3))) (cbrt.f64 (pow.f64 (-.f64 1/3 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1/3 (*.f64 x 1/3)) 2)) (cbrt.f64 (-.f64 1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/3 (*.f64 x 1/3))) (sqrt.f64 (-.f64 1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/3 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/3 (*.f64 x 1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/3 (*.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1/3 (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1/3 (*.f64 x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 3 (-.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1/3 (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/3 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1/3 (*.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1/3 (*.f64 x 1/3))) 1))))))

simplify74.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
782×fma-def_binary64
424×distribute-neg-out_binary64
385×distribute-rgt-neg-out_binary64
376×distribute-rgt-in_binary64
352×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030597
167559
2138520
3367496
41316476
55090476
Stop Event
1×node limit
Counts
229 → 202
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 -1 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
1/3
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 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 (*.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 (*.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 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 3 y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 3 y) (/.f64 x y))
(/.f64 (-.f64 3 x) y)
1/3
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)

eval337.0ms (2.9%)

Compiler

Compiled 10732 to 7230 computations (32.6% saved)

prune140.0ms (1.2%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New58612598
Fresh549
Picked101
Done224
Total59418612
Error
0b
Counts
612 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
▶40.0b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
▶47.7b
(*.f64 (*.f64 x x) (*.f64 (/.f64 1 y) 1/3))
▶0.3b
(/.f64 (-.f64 3 x) (/.f64 (*.f64 3 y) (-.f64 1 x)))
47.7b
(/.f64 (*.f64 x x) (*.f64 y 3))
40.0b
(*.f64 (/.f64 x y) (*.f64 x 1/3))
22.4b
(/.f64 3 (*.f64 y 3))
47.9b
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y 3))) 3)
39.9b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
61.5b
(*.f64 x (/.f64 -4/3 y))
✓47.7b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
40.1b
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 1 x) 3))
22.2b
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
✓22.2b
(/.f64 1 y)
▶0.3b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
40.0b
(*.f64 1/3 (*.f64 x (/.f64 x y)))
22.2b
(+.f64 (/.f64 1 y) (/.f64 -4/3 (/.f64 y x)))
0.3b
(/.f64 (-.f64 1/3 (/.f64 x 3)) (/.f64 y (-.f64 3 x)))
▶61.5b
(*.f64 -4/3 (/.f64 x y))
Compiler

Compiled 338 to 248 computations (26.6% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (*.f64 3 y) (-.f64 1 x))
✓0.3b
(/.f64 (-.f64 3 x) (/.f64 (*.f64 3 y) (-.f64 1 x)))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite383.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
647×log-prod_binary64
535×prod-diff_binary64
344×egg-rr
309×pow2_binary64
241×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
123026
2347526
Stop Event
1×node limit
Counts
2 → 394
Calls
Call 1
Inputs
(/.f64 (-.f64 3 x) (/.f64 (*.f64 3 y) (-.f64 1 x)))
(/.f64 (*.f64 3 y) (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (*.f64 3 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 1 x)))) (sqrt.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 1 x))) (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (*.f64 3 y))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3 (/.f64 y (-.f64 1 x)))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3 (/.f64 y (-.f64 1 x))))) (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 3 x) (*.f64 3 y)) (*.f64 (neg.f64 x) (/.f64 (-.f64 3 x) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) y) (neg.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 3 x) (*.f64 3 y)) 1) (*.f64 (/.f64 (-.f64 3 x) (*.f64 3 y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3 (*.f64 1/3 (/.f64 (-.f64 1 x) y)) (neg.f64 (*.f64 (*.f64 1/3 (/.f64 (-.f64 1 x) y)) x))) (fma.f64 (neg.f64 (*.f64 1/3 (/.f64 (-.f64 1 x) y))) x (*.f64 (*.f64 1/3 (/.f64 (-.f64 1 x) y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (-.f64 1 x) y) (neg.f64 (*.f64 (*.f64 1/3 (/.f64 (-.f64 1 x) y)) x))) (fma.f64 (neg.f64 (*.f64 1/3 (/.f64 (-.f64 1 x) y))) x (*.f64 (*.f64 1/3 (/.f64 (-.f64 1 x) y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1 x) (/.f64 1 y) (neg.f64 (*.f64 (*.f64 1/3 (/.f64 (-.f64 1 x) y)) x))) (fma.f64 (neg.f64 (*.f64 1/3 (/.f64 (-.f64 1 x) y))) x (*.f64 (*.f64 1/3 (/.f64 (-.f64 1 x) y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)) (neg.f64 (*.f64 (*.f64 1/3 (/.f64 (-.f64 1 x) y)) x))) (fma.f64 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simplify105.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
623×distribute-rgt-out_binary64
549×associate-*l/_binary64
397×distribute-rgt-in_binary64
343×associate-*l*_binary64
325×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054755
1150737
2425704
31364680
43913674
Stop Event
1×node limit
Counts
442 → 422
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 (/.f64 y (-.f64 1 x)))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 3 y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 3 y))
(+.f64 (*.f64 3 (*.f64 y x)) (+.f64 (*.f64 3 y) (*.f64 3 (*.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 3 (*.f64 y x)) (+.f64 (*.f64 3 y) (+.f64 (*.f64 3 (*.f64 y (pow.f64 x 2))) (*.f64 3 (*.f64 y (pow.f64 x 3))))))
(*.f64 -3 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -3 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -3 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 4))) (*.f64 -3 (/.f64 y (pow.f64 x 2))))))
(*.f64 -3 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -3 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -3 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 4))) (*.f64 -3 (/.f64 y (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 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 (*.f64 1/3 (/.f64 x y)) x)
(*.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 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 (/.f64 1/3 y) x)))
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 1/3 (/.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) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 (*.f64 1/3 (/.f64 x y)) x)
(*.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 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 (/.f64 1/3 y) x)))
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 1/3 (/.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) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 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 1/3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.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 1/3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.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 1/3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.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 1/3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.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 1/3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.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 1/3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.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 1/3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.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 1/3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.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 1/3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.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 1/3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.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 1/3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.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 1/3 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 y (/.f64 3 (-.f64 1 x)))
(/.f64 y (/.f64 (-.f64 1 x) 3))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 y (/.f64 3 (-.f64 1 x)))
(/.f64 y (/.f64 (-.f64 1 x) 3))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 y (/.f64 3 (-.f64 1 x)))
(/.f64 y (/.f64 (-.f64 1 x) 3))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 y (/.f64 3 (-.f64 1 x)))
(/.f64 y (/.f64 (-.f64 1 x) 3))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 y (/.f64 3 (-.f64 1 x)))
(/.f64 y (/.f64 (-.f64 1 x) 3))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 y (/.f64 3 (-.f64 1 x)))
(/.f64 y (/.f64 (-.f64 1 x) 3))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 y (/.f64 3 (-.f64 1 x)))
(/.f64 y (/.f64 (-.f64 1 x) 3))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 y (/.f64 3 (-.f64 1 x)))
(/.f64 y (/.f64 (-.f64 1 x) 3))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 y (/.f64 3 (-.f64 1 x)))
(/.f64 y (/.f64 (-.f64 1 x) 3))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 y (/.f64 3 (-.f64 1 x)))
(/.f64 y (/.f64 (-.f64 1 x) 3))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 y (/.f64 3 (-.f64 1 x)))
(/.f64 y (/.f64 (-.f64 1 x) 3))
(*.f64 3 (/.f64 y (-.f64 1 x)))
(*.f64 y (/.f64 3 (-.f64 1 x)))
(/.f64 y (/.f64 (-.f64 1 x) 3))
(*.f64 3 y)
(*.f64 y 3)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 3 y))
(*.f64 3 (+.f64 (*.f64 y x) y))
(*.f64 3 (fma.f64 y x y))
(+.f64 (*.f64 3 (*.f64 y x)) (+.f64 (*.f64 3 y) (*.f64 3 (*.f64 y (pow.f64 x 2)))))
(fma.f64 3 (*.f64 y x) (*.f64 3 (+.f64 y (*.f64 y (*.f64 x x)))))
(*.f64 3 (+.f64 (fma.f64 y x y) (*.f64 y (*.f64 x x))))
(*.f64 3 (*.f64 y (+.f64 x (fma.f64 x x 1))))
(*.f64 (*.f64 y 3) (+.f64 x (fma.f64 x x 1)))
(+.f64 (*.f64 3 (*.f64 y x)) (+.f64 (*.f64 3 y) (+.f64 (*.f64 3 (*.f64 y (pow.f64 x 2))) (*.f64 3 (*.f64 y (pow.f64 x 3))))))
(fma.f64 3 (*.f64 y x) (fma.f64 3 y (*.f64 3 (+.f64 (*.f64 y (*.f64 x x)) (*.f64 y (pow.f64 x 3))))))
(*.f64 3 (+.f64 (fma.f64 y x y) (*.f64 y (+.f64 (*.f64 x x) (pow.f64 x 3)))))
(*.f64 3 (+.f64 (*.f64 y x) (fma.f64 y (fma.f64 x x (pow.f64 x 3)) y)))
(*.f64 3 (*.f64 (fma.f64 x x 1) (fma.f64 y x y)))
(*.f64 (fma.f64 y x y) (*.f64 3 (fma.f64 x x 1)))
(*.f64 -3 (/.f64 y x))
(/.f64 (*.f64 y -3) x)
(*.f64 (/.f64 -3 x) y)
(*.f64 y (/.f64 -3 x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -3 (/.f64 y (pow.f64 x 2))))
(*.f64 -3 (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))))
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -3 x)))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -3 (/.f64 y (pow.f64 x 2)))))
(fma.f64 -3 (/.f64 y (pow.f64 x 3)) (*.f64 -3 (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x)))))
(*.f64 -3 (+.f64 (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))) (/.f64 y (pow.f64 x 3))))
(fma.f64 -3 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -3 x))))
(*.f64 (/.f64 y x) (+.f64 (+.f64 -3 (/.f64 -3 x)) (/.f64 -3 (*.f64 x x))))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 4))) (*.f64 -3 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 y (pow.f64 x 3)) (fma.f64 -3 (/.f64 y x) (*.f64 -3 (+.f64 (/.f64 y (pow.f64 x 4)) (/.f64 y (*.f64 x x))))))
(fma.f64 -3 (/.f64 y (pow.f64 x 3)) (*.f64 -3 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (*.f64 x x)) (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (+.f64 (/.f64 y x) (/.f64 y (pow.f64 x 4))) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -3 x))))
(*.f64 (+.f64 -3 (/.f64 -3 (*.f64 x x))) (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))))
(*.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (+.f64 y (/.f64 y x)))
(*.f64 -3 (/.f64 y x))
(/.f64 (*.f64 y -3) x)
(*.f64 (/.f64 -3 x) y)
(*.f64 y (/.f64 -3 x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -3 (/.f64 y (pow.f64 x 2))))
(*.f64 -3 (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))))
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -3 x)))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -3 (/.f64 y (pow.f64 x 2)))))
(fma.f64 -3 (/.f64 y (pow.f64 x 3)) (*.f64 -3 (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x)))))
(*.f64 -3 (+.f64 (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))) (/.f64 y (pow.f64 x 3))))
(fma.f64 -3 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -3 x))))
(*.f64 (/.f64 y x) (+.f64 (+.f64 -3 (/.f64 -3 x)) (/.f64 -3 (*.f64 x x))))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 4))) (*.f64 -3 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 y (pow.f64 x 3)) (fma.f64 -3 (/.f64 y x) (*.f64 -3 (+.f64 (/.f64 y (pow.f64 x 4)) (/.f64 y (*.f64 x x))))))
(fma.f64 -3 (/.f64 y (pow.f64 x 3)) (*.f64 -3 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (*.f64 x x)) (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (+.f64 (/.f64 y x) (/.f64 y (pow.f64 x 4))) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -3 x))))
(*.f64 (+.f64 -3 (/.f64 -3 (*.f64 x x))) (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))))
(*.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (+.f64 y (/.f64 y x)))

localize11.0ms (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)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series16.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(*.f64 x (*.f64 x (/.f64 1/3 y)))
1.0ms
x
@-inf
(*.f64 x (/.f64 1/3 y))
1.0ms
x
@0
(*.f64 x (/.f64 1/3 y))
1.0ms
x
@inf
(*.f64 x (/.f64 1/3 y))
1.0ms
y
@inf
(*.f64 x (/.f64 1/3 y))

rewrite130.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114917
2184117
Stop Event
1×node limit
Counts
2 → 41
Calls
Call 1
Inputs
(*.f64 x (/.f64 1/3 y))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/3 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 1/3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/3) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 1/3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 1) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 1/3 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))))

simplify280.0ms (2.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
010408
121408
238408
370408
4192408
5687408
61820408
72839408
82949408
93090408
103268408
113542408
123870408
135354408
Stop Event
1×node limit
Counts
89 → 45
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(*.f64 x (/.f64 (*.f64 1/3 x) y))

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 (/.f64 1 y) 1/3)
✓10.7b
(*.f64 (*.f64 x x) (*.f64 (/.f64 1 y) 1/3))
Compiler

Compiled 26 to 16 computations (38.5% saved)

series4.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite84.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
797×pow1_binary64
738×add-log-exp_binary64
737×log1p-expm1-u_binary64
737×expm1-log1p-u_binary64
720×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
118314
2213114
Stop Event
1×node limit
Counts
2 → 31
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (*.f64 (/.f64 1 y) 1/3))
(*.f64 (/.f64 1 y) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 1/3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 x x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 (*.f64 y y)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.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 x (*.f64 x (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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)))))))

simplify260.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
718×associate-/l/_binary64
513×associate-*l*_binary64
495×*-commutative_binary64
475×associate-*l/_binary64
470×sqr-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09288
117288
232288
362288
4168288
5609288
62625288
73695288
83905288
94125288
104353288
114691288
126291288
136958288
147754288
Stop Event
1×node limit
Counts
67 → 33
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 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
Outputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)

localize69.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiled 33 to 23 computations (30.3% saved)

series11.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite206.0ms (1.7%)

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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y)))) (sqrt.f64 (*.f64 x (/.f64 1/3 y))) (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) 3) (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) 3)) (/.f64 (sqrt.f64 x) y) (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 1/3 y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3 y)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3 y))) (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 y) (neg.f64 (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1/3 y) (neg.f64 (*.f64 (*.f64 x (/.f64 1/3 y)) 1))) (fma.f64 (neg.f64 (*.f64 x (/.f64 1/3 y))) 1 (*.f64 (*.f64 x (/.f64 1/3 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (cbrt.f64 (/.f64 1/3 y)) (neg.f64 (*.f64 (*.f64 x (/.f64 1/3 y)) 1))) (fma.f64 (neg.f64 (*.f64 x (/.f64 1/3 y))) 1 (*.f64 (*.f64 x (/.f64 1/3 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1/3 y)) (sqrt.f64 (/.f64 1/3 y)) (neg.f64 (*.f64 (*.f64 x (/.f64 1/3 y)) 1))) (fma.f64 (neg.f64 (*.f64 x (/.f64 1/3 y))) 1 (*.f64 (*.f64 x (/.f64 1/3 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1/3 y) (neg.f64 (*.f64 (/.f64 1/3 y) x))) (fma.f64 (neg.f64 (/.f64 1/3 y)) x (*.f64 (/.f64 1/3 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (cbrt.f64 (/.f64 1/3 y)) (neg.f64 (*.f64 (/.f64 1/3 y) x))) (fma.f64 (neg.f64 (/.f64 1/3 y)) x (*.f64 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(-.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)))))))

simplify232.0ms (2%)

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)))

eval1.0s (8.7%)

Compiler

Compiled 25308 to 17570 computations (30.6% saved)

prune332.0ms (2.8%)

Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New7367743
Fresh2911
Picked011
Done336
Total74120761
Error
0b
Counts
761 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
40.0b
(*.f64 x (*.f64 x (*.f64 (/.f64 1 y) 1/3)))
22.2b
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
▶47.7b
(/.f64 (*.f64 x x) (*.f64 y 3))
61.5b
(/.f64 -4/3 (/.f64 y x))
61.5b
(/.f64 (*.f64 -4/3 x) y)
▶40.0b
(*.f64 1/3 (*.f64 x (/.f64 x y)))
40.1b
(/.f64 (-.f64 3 x) (*.f64 y (/.f64 -3 x)))
▶22.2b
(+.f64 (/.f64 1 y) (/.f64 -4/3 (/.f64 y x)))
40.0b
(*.f64 (/.f64 x y) (*.f64 x 1/3))
22.4b
(/.f64 3 (*.f64 y 3))
39.9b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
▶61.5b
(*.f64 x (/.f64 -4/3 y))
✓47.7b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
40.1b
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 1 x) 3))
✓22.2b
(/.f64 1 y)
✓0.3b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
40.0b
(*.f64 x (/.f64 (*.f64 x 1/3) y))
40.0b
(*.f64 x (/.f64 x (*.f64 y 3)))
▶0.3b
(/.f64 (-.f64 1/3 (/.f64 x 3)) (/.f64 y (-.f64 3 x)))
✓61.5b
(*.f64 -4/3 (/.f64 x y))
Compiler

Compiled 336 to 243 computations (27.7% saved)

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 33 to 23 computations (30.3% saved)

series7.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite131.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
645×log-prod_binary64
329×pow2_binary64
324×prod-diff_binary64
260×log-div_binary64
227×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01023
124523
2366619
Stop Event
1×node limit
Counts
2 → 227
Calls
Call 1
Inputs
(/.f64 (-.f64 1/3 (/.f64 x 3)) (/.f64 y (-.f64 3 x)))
(-.f64 1/3 (/.f64 x 3))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (*.f64 (*.f64 x -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -1/3 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/3 1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/3 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/3 1/3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/3 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1/3 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -1/3 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -1/3 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1/3)) 2) (cbrt.f64 (fma.f64 x -1/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -1/3 1/3)) (sqrt.f64 (fma.f64 x -1/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/27 (*.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/9)) (/.f64 1 (fma.f64 1/3 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x 1/3) 1/9) (-.f64 1/27 (*.f64 (pow.f64 x 3) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/3 x 1/3) (-.f64 1/9 (*.f64 (*.f64 x x) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/27 (*.f64 (pow.f64 x 3) 1/27)) (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x 1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/9)) (fma.f64 1/3 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/27 (*.f64 (pow.f64 x 3) 1/27))) (neg.f64 (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/9))) (neg.f64 (fma.f64 1/3 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 (*.f64 x -1/3) 3)) (+.f64 1/9 (-.f64 (pow.f64 (*.f64 x -1/3) 2) (*.f64 1/3 (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (pow.f64 (*.f64 x -1/3) 2)) (-.f64 1/3 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -1/3 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/3 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -1/3 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -1/3 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x 1/3) 1/9) (-.f64 1/27 (*.f64 (pow.f64 x 3) 1/27))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/3 x 1/3) (-.f64 1/9 (*.f64 (*.f64 x x) 1/9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -1/3 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -1/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/3 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -1/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -1/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -1/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -1/3 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/3 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -1/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (neg.f64 (cbrt.f64 (*.f64 1/3 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 x)) (neg.f64 (sqrt.f64 (*.f64 1/3 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) 1/3 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (cbrt.f64 (*.f64 x -1/3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/3)) (sqrt.f64 (*.f64 x -1/3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 1/3 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9))) (cbrt.f64 (*.f64 1/3 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x)) 1/3)))))

simplify68.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
760×fma-def_binary64
627×unsub-neg_binary64
485×fma-neg_binary64
453×cancel-sign-sub-inv_binary64
248×distribute-lft-neg-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025473
154429
2111417
3270417
4998397
54260397
Stop Event
1×node limit
Counts
263 → 241
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 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
1/3
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 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 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(*.f64 x (*.f64 (/.f64 x y) 1/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 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) (+.f64 (*.f64 x 1/3) -4/3))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(*.f64 x (*.f64 (/.f64 x y) 1/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 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) (+.f64 (*.f64 x 1/3) -4/3))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3)))
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y))
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y)
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y))
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y))
1/3
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 x -1/3))
(fma.f64 x -1/3 1/3)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x (/.f64 -4/3 y))
✓0.3b
(/.f64 -4/3 y)
Compiler

Compiled 13 to 8 computations (38.5% saved)

series12.0ms (0.1%)

Counts
2 → 24
Calls

9 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
(/.f64 -4/3 y)
1.0ms
y
@0
(/.f64 -4/3 y)
0.0ms
y
@inf
(/.f64 -4/3 y)
0.0ms
x
@0
(*.f64 x (/.f64 -4/3 y))
0.0ms
x
@-inf
(*.f64 x (/.f64 -4/3 y))

rewrite64.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify14.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
1×saturated
Counts
64 → 41
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
✓0.2b
(*.f64 x (/.f64 x y))
✓0.2b
(*.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
y
@-inf
(*.f64 x (/.f64 x y))
0.0ms
x
@inf
(*.f64 x (/.f64 x y))
0.0ms
x
@0
(*.f64 1/3 (*.f64 x (/.f64 x y)))
0.0ms
y
@inf
(*.f64 1/3 (*.f64 x (/.f64 x y)))
0.0ms
x
@-inf
(*.f64 1/3 (*.f64 x (/.f64 x y)))

rewrite80.0ms (0.7%)

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))))))))

simplify137.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
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
✓10.6b
(/.f64 (*.f64 x x) (*.f64 y 3))
Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite60.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115210
2209710
Stop Event
1×node limit
Counts
1 → 40
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (*.f64 y 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 1/3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))) 2) (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) (*.f64 x (sqrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 x (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 3) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y 3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (*.f64 y 3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 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 x x) (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (*.f64 9 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 y)))))))))

simplify129.0ms (1.1%)

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
64 → 42
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)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1 y) (/.f64 -4/3 (/.f64 y x)))
✓0.9b
(/.f64 -4/3 (/.f64 y x))
Compiler

Compiled 26 to 14 computations (46.2% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite78.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
489×log-prod_binary64
377×exp-prod_binary64
328×fma-def_binary64
308×pow-prod-down_binary64
266×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0920
120718
2306718
Stop Event
1×node limit
Counts
2 → 124
Calls
Call 1
Inputs
(/.f64 -4/3 (/.f64 y x))
(+.f64 (/.f64 1 y) (/.f64 -4/3 (/.f64 y x)))
Outputs
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(*.f64 (neg.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 y x) -3/4 y) (*.f64 y (*.f64 (/.f64 y x) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (*.f64 (/.f64 y x) -3/4) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (*.f64 (/.f64 y x) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (/.f64 y x) (*.f64 y 4/3)) (*.f64 y (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (/.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) 4/3)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2)) (pow.f64 y -2)) (fma.f64 -4/3 (/.f64 x y) (neg.f64 (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 -4/3 y (/.f64 y x)) y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 y y) x) (fma.f64 -4/3 y (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 -4/3 (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (neg.f64 (pow.f64 y -1))) (pow.f64 y -2)) (fma.f64 -64/27 (pow.f64 (/.f64 y x) -3) (pow.f64 y -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 y -1) (*.f64 4/3 (/.f64 x y))) (-.f64 (pow.f64 y -2) (*.f64 16/9 (pow.f64 (/.f64 y x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))))) (sqrt.f64 (log.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -4/3 (/.f64 x y)))) (exp.f64 (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -4/3) (/.f64 x y)) (+.f64 1 (expm1.f64 (pow.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -4/3 (/.f64 x y)))) (+.f64 1 (expm1.f64 (pow.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1))) (pow.f64 (exp.f64 -4/3) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 y -1)) (+.f64 1 (expm1.f64 (*.f64 -4/3 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1))) (+.f64 1 (expm1.f64 (*.f64 -4/3 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 -4/3 y) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 (/.f64 x y)) 1 (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -4/3 (/.f64 x y)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 y -1) (*.f64 -4/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1) 1 (*.f64 -4/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -1) (cbrt.f64 (pow.f64 y -2)) (*.f64 -4/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 y) -1) (*.f64 -4/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -4/3 (/.f64 x y))) (cbrt.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2))) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2))) (cbrt.f64 (*.f64 -4/3 (/.f64 x y))) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 -4/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -4/3 (/.f64 x y))) (sqrt.f64 (*.f64 -4/3 (/.f64 x y))) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 y)) (*.f64 -4/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4/3 (/.f64 1 (/.f64 (neg.f64 y) x)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4/3 y) x (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (pow.f64 (cbrt.f64 y) -1) (*.f64 -4/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4/3 (neg.f64 y)) (neg.f64 x) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4/3 y) 1) x (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4/3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4/3 y) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y -1))))))

simplify51.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
265×fma-def_binary64
234×fma-neg_binary64
69×cancel-sign-sub-inv_binary64
53×associate-/l*_binary64
49×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018396
135354
261354
399354
4181354
5352354
6725354
71146354
81318354
91351354
101405354
Stop Event
1×saturated
Counts
172 → 130
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))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 -4/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 -4/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
Outputs
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)

eval331.0ms (2.8%)

Compiler

Compiled 13724 to 9733 computations (29.1% saved)

prune204.0ms (1.7%)

Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New5476553
Fresh8311
Picked011
Done178
Total55617573
Error
0b
Counts
573 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
22.2b
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
✓22.2b
(/.f64 1 y)
40.1b
(/.f64 (-.f64 3 x) (*.f64 y (/.f64 -3 x)))
✓22.2b
(+.f64 (/.f64 1 y) (/.f64 -4/3 (/.f64 y x)))
22.4b
(/.f64 3 (*.f64 y 3))
40.0b
(/.f64 (*.f64 1/3 x) (/.f64 y x))
✓61.5b
(*.f64 x (/.f64 -4/3 y))
✓47.7b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
✓61.5b
(*.f64 -4/3 (/.f64 x y))
61.5b
(/.f64 x (*.f64 y -3/4))
40.2b
(/.f64 (-.f64 1/3 (/.f64 x 3)) (/.f64 (neg.f64 y) x))
39.9b
(*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3))
40.0b
(*.f64 x (*.f64 x (*.f64 (/.f64 1 y) 1/3)))
✓0.3b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
✓47.7b
(/.f64 (*.f64 x x) (*.f64 y 3))
✓40.0b
(*.f64 1/3 (*.f64 x (/.f64 x y)))
40.0b
(*.f64 (/.f64 x (*.f64 y 3)) x)
Compiler

Compiled 156 to 113 computations (27.6% saved)

regimes226.0ms (1.9%)

Counts
41 → 1
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(/.f64 -4/3 (/.f64 y x))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 3 (*.f64 y 3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(*.f64 (/.f64 x (*.f64 y 3)) x)
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 (*.f64 x 1/3) y))
(*.f64 x (/.f64 x (*.f64 y 3)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 1/3 (*.f64 x (/.f64 x 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 y) (+.f64 (*.f64 x 1/3) -4/3))
(*.f64 x (*.f64 x (*.f64 (/.f64 1 y) 1/3)))
(/.f64 (-.f64 3 x) (*.f64 y (/.f64 -3 x)))
(*.f64 (*.f64 x x) (*.f64 (/.f64 1 y) 1/3))
(+.f64 (/.f64 1 y) (/.f64 -4/3 (/.f64 y x)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(/.f64 (-.f64 1/3 (/.f64 x 3)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 1 x) 3))
(/.f64 (-.f64 3 x) (/.f64 (*.f64 3 y) (-.f64 1 x)))
(/.f64 (-.f64 1/3 (/.f64 x 3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
(*.f64 (/.f64 1 y) (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(pow.f64 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))) -1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y 3))) 3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 3)
Outputs
(pow.f64 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))) -1)
Calls

7 calls:

60.0ms
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
56.0ms
x
41.0ms
y
21.0ms
(*.f64 y 3)
21.0ms
(*.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 401 to 264 computations (34.2% saved)

regimes258.0ms (2.2%)

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

7 calls:

75.0ms
x
38.0ms
y
35.0ms
(*.f64 y 3)
34.0ms
(*.f64 y 3)
34.0ms
(/.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 364 to 237 computations (34.9% saved)

regimes310.0ms (2.6%)

Counts
36 → 1
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(/.f64 -4/3 (/.f64 y x))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 3 (*.f64 y 3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(*.f64 (/.f64 x (*.f64 y 3)) x)
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 (*.f64 x 1/3) y))
(*.f64 x (/.f64 x (*.f64 y 3)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 1/3 (*.f64 x (/.f64 x 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 y) (+.f64 (*.f64 x 1/3) -4/3))
(*.f64 x (*.f64 x (*.f64 (/.f64 1 y) 1/3)))
(/.f64 (-.f64 3 x) (*.f64 y (/.f64 -3 x)))
(*.f64 (*.f64 x x) (*.f64 (/.f64 1 y) 1/3))
(+.f64 (/.f64 1 y) (/.f64 -4/3 (/.f64 y x)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(/.f64 (-.f64 1/3 (/.f64 x 3)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 1 x) 3))
(/.f64 (-.f64 3 x) (/.f64 (*.f64 3 y) (-.f64 1 x)))
(/.f64 (-.f64 1/3 (/.f64 x 3)) (/.f64 y (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
(*.f64 (/.f64 1 y) (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))
Outputs
(/.f64 (-.f64 3 x) (/.f64 (*.f64 3 y) (-.f64 1 x)))
Calls

7 calls:

86.0ms
(*.f64 y 3)
55.0ms
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
53.0ms
(*.f64 y 3)
49.0ms
x
31.0ms
y
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 335 to 216 computations (35.5% saved)

regimes986.0ms (8.3%)

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

4 calls:

289.0ms
(*.f64 y 3)
278.0ms
(*.f64 y 3)
235.0ms
y
172.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
18.0b6y
18.0b6(*.f64 y 3)
18.0b6(*.f64 y 3)
Compiler

Compiled 225 to 134 computations (40.4% saved)

bsearch62.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
30.0ms
0.07130029820204853
46003.95213786463
29.0ms
-107374263682434540.0
-0.0006034406449870124
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes788.0ms (6.7%)

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

4 calls:

448.0ms
(*.f64 y 3)
197.0ms
(*.f64 y 3)
99.0ms
y
37.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
18.0b6y
18.0b6(*.f64 y 3)
18.0b6(*.f64 y 3)
Compiler

Compiled 205 to 120 computations (41.5% saved)

bsearch39.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.07130029820204853
46003.95213786463
20.0ms
-107374263682434540.0
-0.0006034406449870124
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes391.0ms (3.3%)

Counts
20 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(/.f64 -4/3 (/.f64 y x))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 3 (*.f64 y 3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(*.f64 (/.f64 x (*.f64 y 3)) x)
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (/.f64 (*.f64 x 1/3) y))
(*.f64 x (/.f64 x (*.f64 y 3)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
Outputs
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 (/.f64 x (*.f64 y 3)) x)
Calls

4 calls:

167.0ms
y
103.0ms
(*.f64 y 3)
65.0ms
(*.f64 y 3)
51.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
18.1b6y
18.1b6(*.f64 y 3)
18.1b6(*.f64 y 3)
Compiler

Compiled 142 to 83 computations (41.5% saved)

bsearch56.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
0.07130029820204853
46003.95213786463
35.0ms
-107374263682434540.0
-0.0006034406449870124
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes122.0ms (1%)

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

3 calls:

53.0ms
y
36.0ms
(*.f64 y 3)
30.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
18.1b6y
18.1b6(*.f64 y 3)
Compiler

Compiled 60 to 39 computations (35% saved)

bsearch71.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
0.07130029820204853
46003.95213786463
36.0ms
-107374263682434540.0
-0.0006034406449870124
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes44.0ms (0.4%)

Accuracy

Total -39.4b remaining (-177.4%)

Threshold costs -39.4b (-177.4%)

Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(/.f64 -4/3 (/.f64 y x))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 3 (*.f64 y 3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
Outputs
(/.f64 1 y)
Calls

3 calls:

14.0ms
y
14.0ms
(*.f64 y 3)
12.0ms
x
Results
ErrorSegmentsBranch
22.2b1x
22.2b1y
22.2b1(*.f64 y 3)
Compiler

Compiled 53 to 36 computations (32.1% saved)

simplify26.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
052246
173246
289246
398246
4102246
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(pow.f64 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))) -1)
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))))
(/.f64 (-.f64 3 x) (/.f64 (*.f64 3 y) (-.f64 1 x)))
(if (<=.f64 x -107374263682434544) (/.f64 (-.f64 1/3 (/.f64 x 3)) (/.f64 (neg.f64 y) x)) (if (<=.f64 x 321107996414151/4503599627370496) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3))))
(if (<=.f64 x -107374263682434544) (/.f64 (*.f64 1/3 x) (/.f64 y x)) (if (<=.f64 x 321107996414151/4503599627370496) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3))))
(if (<=.f64 x -107374263682434544) (/.f64 (*.f64 1/3 x) (/.f64 y x)) (if (<=.f64 x 321107996414151/4503599627370496) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x (*.f64 y 3)) x)))
(if (<=.f64 x -107374263682434544) (/.f64 (*.f64 1/3 x) (/.f64 y x)) (if (<=.f64 x 321107996414151/4503599627370496) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (/.f64 (*.f64 1/3 x) (/.f64 y x))))
(/.f64 1 y)
Outputs
(pow.f64 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))) -1)
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))))
(/.f64 (-.f64 3 x) (/.f64 (*.f64 3 y) (-.f64 1 x)))
(if (<=.f64 x -107374263682434544) (/.f64 (-.f64 1/3 (/.f64 x 3)) (/.f64 (neg.f64 y) x)) (if (<=.f64 x 321107996414151/4503599627370496) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3))))
(if (<=.f64 x -107374263682434544) (/.f64 (-.f64 1/3 (/.f64 x 3)) (/.f64 (neg.f64 y) x)) (if (<=.f64 x 321107996414151/4503599627370496) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))))
(if (<=.f64 x -107374263682434544) (/.f64 (*.f64 1/3 x) (/.f64 y x)) (if (<=.f64 x 321107996414151/4503599627370496) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3))))
(if (<=.f64 x -107374263682434544) (/.f64 (*.f64 x 1/3) (/.f64 y x)) (if (<=.f64 x 321107996414151/4503599627370496) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))))
(if (<=.f64 x -107374263682434544) (/.f64 (*.f64 1/3 x) (/.f64 y x)) (if (<=.f64 x 321107996414151/4503599627370496) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x (*.f64 y 3)) x)))
(if (<=.f64 x -107374263682434544) (/.f64 (*.f64 x 1/3) (/.f64 y x)) (if (<=.f64 x 321107996414151/4503599627370496) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (*.f64 x (/.f64 x (*.f64 3 y)))))
(if (<=.f64 x -107374263682434544) (/.f64 (*.f64 1/3 x) (/.f64 y x)) (if (<=.f64 x 321107996414151/4503599627370496) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (/.f64 (*.f64 1/3 x) (/.f64 y x))))
(if (<=.f64 x -107374263682434544) (/.f64 (*.f64 x 1/3) (/.f64 y x)) (if (<=.f64 x 321107996414151/4503599627370496) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (/.f64 (*.f64 x 1/3) (/.f64 y x))))
(/.f64 1 y)
Compiler

Compiled 185 to 132 computations (28.6% saved)

soundness0.0ms (0%)

end216.0ms (1.8%)

Compiler

Compiled 171 to 115 computations (32.7% saved)

Profiling

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