Details

Time bar (total: 10.5s)

analyze75.0ms (0.7%)

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

Compiled 14 to 11 computations (21.4% saved)

sample931.0ms (8.9%)

Results
851.0ms8256×body256valid
65.0ms620×body256invalid

preprocess63.0ms (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)

simplify59.0ms (0.6%)

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

Useful iterations: 5 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 23 to 17 computations (26.1% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
6.4b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶6.5b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
▶6.6b
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
Compiler

Compiled 25 to 19 computations (24% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 20 computations (31% saved)

series7.0ms (0.1%)

Counts
2 → 24
Calls

9 calls:

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

rewrite73.0ms (0.7%)

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))))))

simplify138.0ms (1.3%)

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)

localize28.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 33 to 23 computations (30.3% saved)

series9.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite112.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

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

simplify84.0ms (0.8%)

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

Useful iterations: 4 (0.0ms)

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

eval282.0ms (2.7%)

Compiler

Compiled 3557 to 2652 computations (25.4% saved)

prune230.0ms (2.2%)

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
47.5b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
▶20.8b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
▶0.4b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
▶20.8b
(/.f64 1 y)
0.4b
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))
21.0b
(/.f64 3 (*.f64 y 3))
0.4b
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)
41.3b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
▶48.1b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
41.9b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
6.4b
(*.f64 (/.f64 1 y) (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))
48.2b
(/.f64 (*.f64 x x) (*.f64 y 3))
21.0b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
▶0.2b
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
Compiler

Compiled 304 to 230 computations (24.3% saved)

localize128.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

Compiled 46 to 33 computations (28.3% saved)

series30.0ms (0.3%)

Counts
4 → 72
Calls

24 calls:

TimeVariablePointExpression
4.0ms
y
@0
(*.f64 3 (/.f64 y (-.f64 3 x)))
2.0ms
y
@0
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
2.0ms
y
@inf
(*.f64 3 (/.f64 y (-.f64 3 x)))
2.0ms
y
@inf
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
1.0ms
x
@inf
(*.f64 3 (/.f64 y (-.f64 3 x)))

rewrite215.0ms (2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
125143
2349843
Stop Event
1×node limit
Counts
4 → 206
Calls
Call 1
Inputs
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
(/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x))))
(/.f64 y (-.f64 3 x))
Outputs
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simplify98.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
484×associate-*l*_binary64
377×fma-def_binary64
364×associate-*r*_binary64
359×cancel-sign-sub-inv_binary64
246×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0821101
12241097
25811028
318021005
457641001
Stop Event
1×node limit
Counts
278 → 253
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 1/3 (*.f64 y x)))
(+.f64 y (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x))))
(+.f64 y (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x)))))
(*.f64 -3 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(*.f64 -3 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(/.f64 1 y)
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(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 1 y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
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(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 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)))
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(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
Outputs
y
(+.f64 y (*.f64 1/3 (*.f64 y x)))
(fma.f64 1/3 (*.f64 y x) y)
(fma.f64 y (*.f64 1/3 x) y)
(+.f64 y (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x))))
(+.f64 y (fma.f64 1/9 (*.f64 y (*.f64 x x)) (*.f64 1/3 (*.f64 y x))))
(+.f64 (fma.f64 1/3 (*.f64 y x) y) (*.f64 (*.f64 x x) (*.f64 y 1/9)))
(+.f64 y (*.f64 x (*.f64 y (+.f64 1/3 (*.f64 x 1/9)))))
(+.f64 y (*.f64 (*.f64 y x) (+.f64 1/3 (*.f64 x 1/9))))
(+.f64 y (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x)))))
(+.f64 y (fma.f64 1/27 (*.f64 y (pow.f64 x 3)) (fma.f64 1/9 (*.f64 y (*.f64 x x)) (*.f64 1/3 (*.f64 y x)))))
(+.f64 (fma.f64 (*.f64 y 1/27) (pow.f64 x 3) (*.f64 (*.f64 x x) (*.f64 y 1/9))) (fma.f64 1/3 (*.f64 y x) y))
(+.f64 (*.f64 x (*.f64 y (+.f64 1/3 (*.f64 x 1/9)))) (fma.f64 1/27 (*.f64 y (pow.f64 x 3)) y))
(+.f64 y (*.f64 x (*.f64 y (+.f64 1/3 (*.f64 x (+.f64 (*.f64 x 1/27) 1/9))))))
(*.f64 -3 (/.f64 y x))
(*.f64 y (/.f64 -3 x))
(/.f64 -3 (/.f64 x y))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2))))
(fma.f64 -3 (/.f64 y x) (*.f64 -9 (/.f64 y (*.f64 x x))))
(fma.f64 -9 (/.f64 y (*.f64 x x)) (*.f64 -3 (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 -27 y) (pow.f64 x 3))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -27) (pow.f64 x 3))))
(fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))))
(*.f64 (/.f64 y x) (+.f64 (/.f64 -27 (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (/.f64 (*.f64 -81 y) (pow.f64 x 4)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (/.f64 (*.f64 y -81) (pow.f64 x 4)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x)))))
(+.f64 (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -27 (/.f64 -81 x))))
(*.f64 -3 (/.f64 y x))
(*.f64 y (/.f64 -3 x))
(/.f64 -3 (/.f64 x y))
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2))))
(fma.f64 -3 (/.f64 y x) (*.f64 -9 (/.f64 y (*.f64 x x))))
(fma.f64 -9 (/.f64 y (*.f64 x x)) (*.f64 -3 (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 -27 y) (pow.f64 x 3))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -27) (pow.f64 x 3))))
(fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))))
(*.f64 (/.f64 y x) (+.f64 (/.f64 -27 (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))))
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (/.f64 (*.f64 -81 y) (pow.f64 x 4)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (/.f64 (*.f64 y -81) (pow.f64 x 4)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x)))))
(+.f64 (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -27 (/.f64 -81 x))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.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 (/.f64 x y) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 -4/3 y) x))
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 (/.f64 1/3 y) x)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.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 (/.f64 x y) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 -4/3 y) x))
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 (/.f64 1/3 y) x)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 (*.f64 1/3 (*.f64 (-.f64 1 x) (-.f64 3 x))) y)
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 (*.f64 1/3 (*.f64 (-.f64 1 x) (-.f64 3 x))) y)
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 (*.f64 1/3 (*.f64 (-.f64 1 x) (-.f64 3 x))) y)
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 (*.f64 1/3 (*.f64 (-.f64 1 x) (-.f64 3 x))) y)
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 (*.f64 1/3 (*.f64 (-.f64 1 x) (-.f64 3 x))) y)
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 (*.f64 1/3 (*.f64 (-.f64 1 x) (-.f64 3 x))) y)
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 (*.f64 1/3 (*.f64 (-.f64 1 x) (-.f64 3 x))) y)
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 (*.f64 1/3 (*.f64 (-.f64 1 x) (-.f64 3 x))) y)
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 (*.f64 1/3 (*.f64 (-.f64 1 x) (-.f64 3 x))) y)
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 (*.f64 1/3 (*.f64 (-.f64 1 x) (-.f64 3 x))) y)
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 (*.f64 1/3 (*.f64 (-.f64 1 x) (-.f64 3 x))) y)
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(/.f64 (*.f64 1/3 (*.f64 (-.f64 1 x) (-.f64 3 x))) y)
(*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
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(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(/.f64 1 y)
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(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
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(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
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(*.f64 (/.f64 1/3 y) (-.f64 3 x))
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(*.f64 -1/3 (/.f64 x y))
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(/.f64 -1/3 (/.f64 y x))
(*.f64 (/.f64 x y) -1/3)
(*.f64 x (/.f64 -1/3 y))
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(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 -1/3 (/.f64 x y))
(/.f64 (*.f64 -1/3 x) y)
(/.f64 -1/3 (/.f64 y x))
(*.f64 (/.f64 x y) -1/3)
(*.f64 x (/.f64 -1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 (/.f64 1/3 y) (-.f64 3 x))
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(*.f64 1/3 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 (*.f64 y 1/27) (*.f64 x x) (*.f64 y 1/3)))
(fma.f64 y 1/3 (*.f64 y (+.f64 (*.f64 x 1/9) (*.f64 (*.f64 1/27 x) x))))
(*.f64 y (+.f64 1/3 (*.f64 x (+.f64 (*.f64 x 1/27) 1/9))))
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 1/3 y) (*.f64 1/81 (*.f64 y (pow.f64 x 3))))))
(fma.f64 1/9 (*.f64 y x) (fma.f64 1/27 (*.f64 y (*.f64 x x)) (fma.f64 1/3 y (*.f64 (*.f64 y (pow.f64 x 3)) 1/81))))
(fma.f64 (*.f64 y x) 1/9 (fma.f64 (*.f64 y (*.f64 x x)) 1/27 (fma.f64 (*.f64 y 1/81) (pow.f64 x 3) (*.f64 y 1/3))))
(fma.f64 y (*.f64 (*.f64 1/27 x) x) (fma.f64 y (*.f64 x 1/9) (*.f64 y (+.f64 1/3 (*.f64 (pow.f64 x 3) 1/81)))))
(*.f64 y (+.f64 (+.f64 1/3 (*.f64 x 1/9)) (*.f64 (*.f64 x x) (+.f64 1/27 (*.f64 x 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)))
(-.f64 (*.f64 -3 (/.f64 y (*.f64 x x))) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x)))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(-.f64 (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 y x) (+.f64 (+.f64 -1 (/.f64 (/.f64 -9 x) x)) (/.f64 -3 x)))
(-.f64 (/.f64 (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))) x) (/.f64 y x))
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (-.f64 (fma.f64 -3 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -9) (pow.f64 x 3))) (/.f64 y x)))
(-.f64 (fma.f64 -27 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x)))) (/.f64 y x))
(+.f64 (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -9 (/.f64 -27 x))) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x))))
(fma.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -9 (/.f64 -27 x)) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))
(fma.f64 -3 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 y x)))
(-.f64 (*.f64 -3 (/.f64 y (*.f64 x x))) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x)))
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(-.f64 (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 y x) (+.f64 (+.f64 -1 (/.f64 (/.f64 -9 x) x)) (/.f64 -3 x)))
(-.f64 (/.f64 (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))) x) (/.f64 y x))
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (-.f64 (fma.f64 -3 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -9) (pow.f64 x 3))) (/.f64 y x)))
(-.f64 (fma.f64 -27 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x)))) (/.f64 y x))
(+.f64 (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -9 (/.f64 -27 x))) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x))))
(fma.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -9 (/.f64 -27 x)) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x))))

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
0.4b
(/.f64 1/3 y)
✓11.2b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
Compiler

Compiled 18 to 9 computations (50% saved)

series9.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(*.f64 (*.f64 x x) (/.f64 1/3 y))
1.0ms
x
@0
(*.f64 (*.f64 x x) (/.f64 1/3 y))
1.0ms
y
@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))

rewrite67.0ms (0.6%)

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))))))))

simplify134.0ms (1.3%)

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)))

localize10.0ms (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)

series8.0ms (0.1%)

Counts
2 → 15
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(*.f64 -4/3 (/.f64 x y))
1.0ms
x
@inf
(*.f64 -4/3 (/.f64 x y))
1.0ms
x
@0
(*.f64 -4/3 (/.f64 x y))
1.0ms
y
@0
(*.f64 -4/3 (/.f64 x y))
0.0ms
x
@-inf
(*.f64 -4/3 (/.f64 x y))

rewrite79.0ms (0.8%)

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)) (fma.f64 (pow.f64 (/.f64 x y) 2) 16/9 (-.f64 (pow.f64 y -2) (/.f64 (/.f64 (*.f64 -4/3 x) y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -2) (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 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -64/27 (pow.f64 y -3))) (neg.f64 (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 (neg.f64 (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2))) (neg.f64 (/.f64 (-.f64 1 (*.f64 -4/3 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -4/3 x) y y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -4/3 x) (neg.f64 y) (*.f64 y -1)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 y (*.f64 -4/3 x))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 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))))))

simplify43.0ms (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))

localize14.0ms (0.1%)

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)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite96.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
122326
2321026
Stop Event
1×node limit
Counts
2 → 153
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) (*.f64 3 y))
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
Outputs
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simplify75.0ms (0.7%)

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)))

eval335.0ms (3.2%)

Compiler

Compiled 10728 to 7693 computations (28.3% saved)

prune111.0ms (1.1%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New5828590
Fresh459
Picked011
Done224
Total58816604
Error
0b
Counts
604 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
▶47.5b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
▶61.2b
(*.f64 -4/3 (/.f64 x y))
✓0.4b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
✓20.8b
(/.f64 1 y)
20.8b
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
6.5b
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y) 3)
41.9b
(*.f64 (/.f64 x y) (*.f64 1/3 x))
▶0.3b
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
41.3b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
✓48.1b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
41.9b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
61.2b
(*.f64 x (/.f64 -4/3 y))
▶48.1b
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
▶41.9b
(*.f64 1/3 (/.f64 x (/.f64 y x)))
21.0b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
21.0b
(/.f64 3 (*.f64 y 3))
Compiler

Compiled 277 to 204 computations (26.4% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 y (-.f64 3 x))
✓0.2b
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
✓0.3b
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
Compiler

Compiled 37 to 25 computations (32.4% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite170.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
123729
2354429
Stop Event
1×node limit
Counts
2 → 331
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 3 x) y)))) (sqrt.f64 (*.f64 x (/.f64 (-.f64 3 x) y))) (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (-.f64 3 x))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (-.f64 3 x)))) (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 3 x) y) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (/.f64 (-.f64 1 x) y)) (*.f64 (neg.f64 x) (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 x) y) 3) (*.f64 (/.f64 (-.f64 1 x) y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 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(2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (/.f64 y (-.f64 3 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 3 x) y) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 (-.f64 1 x) y) (*.f64 (neg.f64 x) (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 3 x) (/.f64 1 y) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) y) 3 (*.f64 (/.f64 (-.f64 1 x) y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 3 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 3 x) y)) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 3 x) y)) (sqrt.f64 (/.f64 (-.f64 3 x) y)) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (-.f64 3 x) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 3 x) (cbrt.f64 y)) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 3 x) (sqrt.f64 y)) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 3 x)) y) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 3 x)) 1) (/.f64 (sqrt.f64 (-.f64 3 x)) y) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 (-.f64 3 x)) (cbrt.f64 y)) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 3 x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (-.f64 3 x)) (cbrt.f64 y)) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 3 x)) (sqrt.f64 y)) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 y)) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 y)) (neg.f64 (-.f64 3 x)) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) y))))))))

simplify90.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

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

localize7.0ms (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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 x (/.f64 y x))
✓0.2b
(*.f64 1/3 (/.f64 x (/.f64 y x)))
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 y x))
0.0ms
x
@inf
(/.f64 x (/.f64 y x))
0.0ms
x
@0
(*.f64 1/3 (/.f64 x (/.f64 y x)))
0.0ms
x
@inf
(*.f64 1/3 (/.f64 x (/.f64 y x)))
0.0ms
x
@-inf
(*.f64 1/3 (/.f64 x (/.f64 y x)))

rewrite76.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115317
2210117
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 x (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (/.f64 x (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y x) (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 x)) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1/3) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (neg.f64 x)) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x (/.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x (/.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 x (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 x (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 x (/.f64 y x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) 2) (cbrt.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (/.f64 y x))) (sqrt.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 x (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 x (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 y x))))))))

simplify141.0ms (1.3%)

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
108 → 63
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
Outputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x x) 1/3)
✓11.1b
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
Compiler

Compiled 20 to 9 computations (55% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite103.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114917
2195517
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 (*.f64 x x) 1/3)
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 x (*.f64 (*.f64 x 1/3) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (*.f64 x x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x x) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/9)) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/3)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y 3))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y 3))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/3)) (*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -1/3) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (*.f64 x x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/9)) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/3)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x 1/3) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (*.f64 x x) 1/3) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/9)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (*.f64 x 1/3) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 (*.f64 x x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (*.f64 x x) 1/3) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/9)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/3)) (sqrt.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 y 3))) 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 (*.f64 x x) 1/3) (neg.f64 y)))))) (#(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 (*.f64 x x) 1/3) 3) (pow.f64 y 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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/3)))))))

simplify169.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09324
117324
234324
371324
4195324
5706324
62552324
73994324
84150324
94360324
104578324
114903324
125297324
135894324
146583324
157353324
Stop Event
1×node limit
Counts
92 → 60
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
Outputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 17 computations (34.6% saved)

series10.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite134.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify113.0ms (1.1%)

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

Useful iterations: 4 (0.0ms)

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

eval725.0ms (6.9%)

Compiler

Compiled 20037 to 13340 computations (33.4% saved)

prune167.0ms (1.6%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New6847691
Fresh448
Picked011
Done257
Total69017707
Error
0b
Counts
707 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
21.0b
(/.f64 (/.f64 3 y) 3)
✓47.5b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
✓61.2b
(*.f64 -4/3 (/.f64 x y))
✓0.4b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
✓20.8b
(/.f64 1 y)
▶41.9b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
✓48.1b
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
▶6.5b
(/.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) 3)
▶61.2b
(*.f64 x (/.f64 -4/3 y))
✓41.9b
(*.f64 1/3 (/.f64 x (/.f64 y x)))
41.3b
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
▶21.0b
(/.f64 3 (*.f64 y 3))
41.9b
(*.f64 (/.f64 x y) (*.f64 1/3 x))
▶41.9b
(/.f64 (*.f64 x (/.f64 x y)) 3)
61.2b
(/.f64 -4/3 (/.f64 y x))
20.8b
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
21.0b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
Compiler

Compiled 252 to 187 computations (25.8% saved)

localize57.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 3 x) (-.f64 1 x))
✓0.3b
(/.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) 3)
✓5.9b
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
Compiler

Compiled 39 to 27 computations (30.8% saved)

series5.0ms (0%)

Counts
3 → 48
Calls

15 calls:

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

rewrite89.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify66.0ms (0.6%)

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

Useful iterations: 4 (0.0ms)

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

localize35.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

9 calls:

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

rewrite57.0ms (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)))))))

simplify13.0ms (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))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11094
213384
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 3 (*.f64 y 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 (cbrt.f64 (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (/.f64 1 (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1 y)))))))

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1648
Stop Event
1×saturated
Counts
33 → 22
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
Outputs
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)

localize8.0ms (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))
0.4b
(/.f64 1/3 y)
Compiler

Compiled 20 to 12 computations (40% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite82.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify103.0ms (1%)

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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite60.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
820×pow1_binary64
766×add-log-exp_binary64
766×log1p-expm1-u_binary64
766×expm1-log1p-u_binary64
752×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115617
2206617
Stop Event
1×node limit
Counts
2 → 49
Calls
Call 1
Inputs
(*.f64 x (/.f64 x y))
(/.f64 (*.f64 x (/.f64 x y)) 3)
Outputs
((#(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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 x x) (*.f64 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 (/.f64 x y) 1/3))))) (#(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 (/.f64 x y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2) (*.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 3 y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 3 y))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/3)) (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (/.f64 x y))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 3) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 3 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 pow.f64 (*.f64 (/.f64 3 (*.f64 x x)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (/.f64 x y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 3 y))))))))

simplify141.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
08408
116408
231408
362408
4165408
5606408
62650408
73720408
83930408
94149408
104377408
114713408
126323408
136988408
147783408
Stop Event
1×node limit
Counts
97 → 53
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 1/3 (*.f64 x x)) y)
(*.f64 (/.f64 (*.f64 x x) y) 1/3)
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 x (/.f64 x (/.f64 y 1/3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))

eval141.0ms (1.3%)

Compiler

Compiled 4681 to 3264 computations (30.3% saved)

prune106.0ms (1%)

Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New3707377
Fresh516
Picked011
Done01010
Total37519394
Error
0b
Counts
394 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓47.5b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
✓61.2b
(*.f64 -4/3 (/.f64 x y))
21.0b
(/.f64 (/.f64 (+.f64 3 (*.f64 -4 x)) y) 3)
21.1b
(*.f64 (/.f64 1/3 y) 3)
41.9b
(*.f64 (/.f64 x 3) (/.f64 x y))
21.0b
(/.f64 (/.f64 3 y) 3)
✓0.4b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
✓20.8b
(/.f64 1 y)
✓41.9b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
✓48.1b
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
✓6.5b
(/.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) 3)
✓61.2b
(*.f64 x (/.f64 -4/3 y))
✓41.9b
(*.f64 1/3 (/.f64 x (/.f64 y x)))
61.2b
(/.f64 x (*.f64 y -3/4))
✓21.0b
(/.f64 3 (*.f64 y 3))
21.1b
(*.f64 (/.f64 3 y) 1/3)
20.8b
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
✓41.9b
(/.f64 (*.f64 x (/.f64 x y)) 3)
47.5b
(/.f64 (/.f64 (*.f64 x (+.f64 -4 x)) y) 3)
Compiler

Compiled 167 to 125 computations (25.1% saved)

regimes192.0ms (1.8%)

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

7 calls:

50.0ms
(*.f64 y 3)
50.0ms
x
22.0ms
y
22.0ms
(*.f64 y 3)
21.0ms
(/.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 348 to 234 computations (32.8% saved)

regimes263.0ms (2.5%)

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

7 calls:

93.0ms
y
82.0ms
(*.f64 y 3)
21.0ms
(*.f64 y 3)
19.0ms
x
17.0ms
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
0.3b1(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
0.3b1(*.f64 (-.f64 1 x) (-.f64 3 x))
0.3b1(*.f64 (-.f64 1 x) (-.f64 3 x))
0.3b1(*.f64 y 3)
0.3b1(*.f64 y 3)
Compiler

Compiled 325 to 217 computations (33.2% saved)

regimes414.0ms (3.9%)

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

6 calls:

237.0ms
x
117.0ms
(*.f64 y 3)
16.0ms
y
16.0ms
(*.f64 y 3)
9.0ms
(*.f64 (-.f64 1 x) (-.f64 3 x))
Results
ErrorSegmentsBranch
0.2b3x
6.5b1y
0.3b2(*.f64 (-.f64 1 x) (-.f64 3 x))
0.3b2(*.f64 (-.f64 1 x) (-.f64 3 x))
6.5b1(*.f64 y 3)
6.5b1(*.f64 y 3)
Compiler

Compiled 244 to 157 computations (35.7% saved)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
6687849984.113976
7795164746.238067
6.0ms
-2.929326846260735e+128
-3.4509197541092956e+116
Compiler

Compiled 42 to 32 computations (23.8% saved)

regimes501.0ms (4.8%)

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

4 calls:

201.0ms
(*.f64 y 3)
115.0ms
(*.f64 y 3)
99.0ms
y
49.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
18.3b5y
18.3b5(*.f64 y 3)
18.3b5(*.f64 y 3)
Compiler

Compiled 204 to 127 computations (37.7% saved)

bsearch44.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.003689130986296281
37229.83456513581
21.0ms
-4.6525828412906325
-1.0648364362025002e-6
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes408.0ms (3.9%)

Counts
26 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(*.f64 (/.f64 1/3 y) 3)
(/.f64 (/.f64 3 y) 3)
(/.f64 x (*.f64 y -3/4))
(*.f64 (/.f64 3 y) 1/3)
(/.f64 (/.f64 3 y) 3)
(*.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 3 (*.f64 y 3))
(*.f64 (/.f64 x 3) (/.f64 x y))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(/.f64 (*.f64 x (/.f64 x y)) 3)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 (/.f64 x y) (*.f64 1/3 x))
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(/.f64 (/.f64 (+.f64 3 (*.f64 -4 x)) y) 3)
(/.f64 (/.f64 (*.f64 x (+.f64 -4 x)) y) 3)
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
Outputs
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)
Calls

4 calls:

162.0ms
y
97.0ms
(*.f64 y 3)
71.0ms
x
70.0ms
(*.f64 y 3)
Results
ErrorSegmentsBranch
0.9b3x
18.3b5y
18.3b5(*.f64 y 3)
18.3b5(*.f64 y 3)
Compiler

Compiled 186 to 115 computations (38.2% saved)

bsearch134.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.003689130986296281
37229.83456513581
113.0ms
-4.6525828412906325
-1.0648364362025002e-6
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes353.0ms (3.4%)

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

4 calls:

154.0ms
(*.f64 y 3)
101.0ms
(*.f64 y 3)
57.0ms
y
36.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
18.3b5y
18.3b5(*.f64 y 3)
18.3b5(*.f64 y 3)
Compiler

Compiled 177 to 110 computations (37.9% saved)

bsearch77.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.003689130986296281
37229.83456513581
55.0ms
-4.6525828412906325
-1.0648364362025002e-6
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes313.0ms (3%)

Counts
23 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(*.f64 (/.f64 1/3 y) 3)
(/.f64 (/.f64 3 y) 3)
(/.f64 x (*.f64 y -3/4))
(*.f64 (/.f64 3 y) 1/3)
(/.f64 (/.f64 3 y) 3)
(*.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 3 (*.f64 y 3))
(*.f64 (/.f64 x 3) (/.f64 x y))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(/.f64 (*.f64 x (/.f64 x y)) 3)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 (/.f64 x y) (*.f64 1/3 x))
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(/.f64 (/.f64 (+.f64 3 (*.f64 -4 x)) y) 3)
(/.f64 (/.f64 (*.f64 x (+.f64 -4 x)) y) 3)
Outputs
(/.f64 (*.f64 x (/.f64 x y)) 3)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 (/.f64 x y) (*.f64 1/3 x))
Calls

4 calls:

121.0ms
(*.f64 y 3)
101.0ms
(*.f64 y 3)
53.0ms
y
33.0ms
x
Results
ErrorSegmentsBranch
1.6b3x
18.5b4y
18.5b4(*.f64 y 3)
18.5b4(*.f64 y 3)
Compiler

Compiled 159 to 99 computations (37.7% saved)

bsearch70.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.003689130986296281
37229.83456513581
50.0ms
-4.6525828412906325
-1.0648364362025002e-6
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes143.0ms (1.4%)

Counts
15 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(*.f64 (/.f64 1/3 y) 3)
(/.f64 (/.f64 3 y) 3)
(/.f64 x (*.f64 y -3/4))
(*.f64 (/.f64 3 y) 1/3)
(/.f64 (/.f64 3 y) 3)
(*.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 3 (*.f64 y 3))
(*.f64 (/.f64 x 3) (/.f64 x y))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(/.f64 (*.f64 x (/.f64 x y)) 3)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
Outputs
(/.f64 (*.f64 x (/.f64 x y)) 3)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 (/.f64 x 3) (/.f64 x y))
Calls

3 calls:

76.0ms
(*.f64 y 3)
37.0ms
y
26.0ms
x
Results
ErrorSegmentsBranch
1.6b3x
18.5b4y
18.5b4(*.f64 y 3)
Compiler

Compiled 94 to 62 computations (34% saved)

bsearch40.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.003689130986296281
37229.83456513581
20.0ms
-4.6525828412906325
-1.0648364362025002e-6
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes171.0ms (1.6%)

Counts
14 → 3
Calls
Call 1
Inputs
(/.f64 1 y)
(*.f64 (/.f64 1/3 y) 3)
(/.f64 (/.f64 3 y) 3)
(/.f64 x (*.f64 y -3/4))
(*.f64 (/.f64 3 y) 1/3)
(/.f64 (/.f64 3 y) 3)
(*.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 3 (*.f64 y 3))
(*.f64 (/.f64 x 3) (/.f64 x y))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(/.f64 (*.f64 x (/.f64 x y)) 3)
Outputs
(/.f64 (*.f64 x (/.f64 x y)) 3)
(/.f64 1 y)
(*.f64 (/.f64 x 3) (/.f64 x y))
Calls

3 calls:

71.0ms
(*.f64 y 3)
58.0ms
x
38.0ms
y
Results
ErrorSegmentsBranch
1.9b3x
18.5b4y
18.5b4(*.f64 y 3)
Compiler

Compiled 87 to 57 computations (34.5% saved)

bsearch78.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.003689130986296281
37229.83456513581
56.0ms
-4.6525828412906325
-1.0648364362025002e-6
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes240.0ms (2.3%)

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

3 calls:

140.0ms
(*.f64 y 3)
61.0ms
x
36.0ms
y
Results
ErrorSegmentsBranch
1.9b3x
18.5b4y
18.5b4(*.f64 y 3)
Compiler

Compiled 80 to 54 computations (32.5% saved)

bsearch70.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.003689130986296281
37229.83456513581
50.0ms
-4.6525828412906325
-1.0648364362025002e-6
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes123.0ms (1.2%)

Accuracy

Total -40.5b remaining (-194.7%)

Threshold costs -40.5b (-194.7%)

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

3 calls:

104.0ms
(*.f64 y 3)
8.0ms
x
7.0ms
y
Results
ErrorSegmentsBranch
20.8b1x
20.8b1y
20.8b1(*.f64 y 3)
Compiler

Compiled 66 to 47 computations (28.8% saved)

simplify20.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
062396
182396
287396
389396
490396
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
(if (<=.f64 x -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 876589873117787/131072) (/.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) 3) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 68052455158599192/18446744073709551616) (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 68052455158599192/18446744073709551616) (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 68052455158599192/18446744073709551616) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 68052455158599192/18446744073709551616) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x y) (*.f64 1/3 x))))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 68052455158599192/18446744073709551616) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 68052455158599192/18446744073709551616) (/.f64 1 y) (*.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -2619171293793357/562949953421312) (*.f64 (/.f64 x 3) (/.f64 x y)) (if (<=.f64 x 68052455158599192/18446744073709551616) (/.f64 1 y) (*.f64 (/.f64 x 3) (/.f64 x y))))
(/.f64 1 y)
Outputs
(*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3)
(if (<=.f64 x -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 876589873117787/131072) (/.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) 3) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))))
(if (<=.f64 x -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 876589873117787/131072) (/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y) 3) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 68052455158599192/18446744073709551616) (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 8506556894824899/2305843009213693952) (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3)) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 68052455158599192/18446744073709551616) (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 8506556894824899/2305843009213693952) (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3)) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 68052455158599192/18446744073709551616) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 8506556894824899/2305843009213693952) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3)))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 68052455158599192/18446744073709551616) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x y) (*.f64 1/3 x))))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 8506556894824899/2305843009213693952) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (*.f64 (/.f64 x y) (*.f64 x 1/3))))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 68052455158599192/18446744073709551616) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 8506556894824899/2305843009213693952) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (*.f64 (/.f64 x y) (/.f64 x 3))))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 68052455158599192/18446744073709551616) (/.f64 1 y) (*.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -2619171293793357/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 8506556894824899/2305843009213693952) (/.f64 1 y) (*.f64 (/.f64 x y) (/.f64 x 3))))
(if (<=.f64 x -2619171293793357/562949953421312) (*.f64 (/.f64 x 3) (/.f64 x y)) (if (<=.f64 x 68052455158599192/18446744073709551616) (/.f64 1 y) (*.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -2619171293793357/562949953421312) (*.f64 (/.f64 x y) (/.f64 x 3)) (if (<=.f64 x 8506556894824899/2305843009213693952) (/.f64 1 y) (*.f64 (/.f64 x y) (/.f64 x 3))))
(/.f64 1 y)
Compiler

Compiled 295 to 197 computations (33.2% saved)

soundness0.0ms (0%)

end228.0ms (2.2%)

Compiler

Compiled 275 to 167 computations (39.3% saved)

Profiling

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