Details

Time bar (total: 7.6s)

analyze95.0ms (1.2%)

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

Compiled 14 to 11 computations (21.4% saved)

sample1.1s (14.1%)

Results
937.0ms8256×body256valid
114.0ms648×body256infinite
Bogosity

preprocess56.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
14132
213332
339332
4140532
5645032
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
(/.f64 (*.f64 (-.f64 1 y) (-.f64 3 y)) (*.f64 x 3))
Outputs
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
(/.f64 (-.f64 3 x) (/.f64 3 (/.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y)))
(/.f64 (*.f64 (-.f64 1 y) (-.f64 3 y)) (*.f64 x 3))
(*.f64 (/.f64 (-.f64 1 y) x) (/.f64 (-.f64 3 y) 3))
(*.f64 (/.f64 (-.f64 3 y) x) (/.f64 (-.f64 1 y) 3))
(*.f64 (/.f64 (-.f64 3 y) x) (-.f64 1/3 (/.f64 y 3)))
(*.f64 (-.f64 1 y) (*.f64 (-.f64 3 y) (/.f64 1/3 x)))
(*.f64 (-.f64 1 y) (/.f64 (-.f64 3 y) (*.f64 x 3)))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify57.0ms (0.8%)

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

Useful iterations: 5 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 23 to 17 computations (26.1% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
6.6b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶7.0b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
▶6.8b
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
Compiler

Compiled 25 to 19 computations (24% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 1/3 y)
✓6.3b
(*.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
@inf
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
1.0ms
y
@-inf
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
1.0ms
y
@0
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
1.0ms
x
@0
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
1.0ms
x
@-inf
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

rewrite108.0ms (1.4%)

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))))))

simplify108.0ms (1.4%)

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)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 x) (-.f64 3 x))
✓6.5b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series5.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite97.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify68.0ms (0.9%)

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)

eval139.0ms (1.8%)

Compiler

Compiled 3557 to 2652 computations (25.4% saved)

prune51.0ms (0.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New21513228
Fresh000
Picked011
Done101
Total21614230
Error
0b
Counts
230 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓7.0b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
▶0.1b
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))
▶21.6b
(/.f64 1 y)
21.6b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
▶0.6b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
21.9b
(/.f64 3 (*.f64 y 3))
47.5b
(/.f64 (*.f64 x x) (*.f64 y 3))
40.7b
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
1.3b
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 3)
41.0b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
47.2b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
▶47.5b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
▶21.3b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
6.6b
(*.f64 (/.f64 1 y) (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))
Compiler

Compiled 293 to 222 computations (24.2% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 33 to 23 computations (30.3% saved)

series10.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite94.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
554×log-prod_binary64
465×prod-diff_binary64
300×pow2_binary64
217×fma-def_binary64
213×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01023
122823
2322121
Stop Event
1×node limit
Counts
2 → 160
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))
(/.f64 (-.f64 1 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) y) (*.f64 (*.f64 x -1/3) (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) y) (*.f64 (/.f64 (-.f64 1 x) y) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/3 1)) (/.f64 (-.f64 1 x) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/3 1)) (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/3 1)) (/.f64 (-.f64 1 x) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/3 1)) (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (-.f64 1 x) (fma.f64 x -1/3 1))))))) 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simplify60.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
808×fma-def_binary64
543×associate-/l*_binary64
506×fma-neg_binary64
483×associate-/r/_binary64
401×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024525
159505
2120469
3299442
41073422
54242422
Stop Event
1×node limit
Counts
196 → 175
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
Outputs
(/.f64 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 1/3 (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 (/.f64 x y) (+.f64 -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 1/3 (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3)))
(*.f64 (/.f64 x y) (+.f64 -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 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x -1/3)) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x -1/3)) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x -1/3)) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x -1/3)) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x -1/3)) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x -1/3)) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x -1/3)) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x -1/3)) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x -1/3)) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x -1/3)) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x -1/3)) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x -1/3)) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)

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)
✓11.7b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
Compiler

Compiled 18 to 9 computations (50% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite60.0ms (0.8%)

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))))))))

simplify131.0ms (1.7%)

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)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 14 computations (46.2% saved)

series12.0ms (0.2%)

Counts
2 → 15
Calls

12 calls:

TimeVariablePointExpression
6.0ms
y
@0
(*.f64 -4/3 (/.f64 x y))
1.0ms
y
@inf
(*.f64 -4/3 (/.f64 x y))
1.0ms
x
@inf
(*.f64 -4/3 (/.f64 x y))
1.0ms
x
@0
(*.f64 -4/3 (/.f64 x y))
1.0ms
x
@-inf
(*.f64 -4/3 (/.f64 x y))

rewrite80.0ms (1.1%)

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
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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 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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))))))

simplify49.0ms (0.6%)

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))

localize28.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 33 to 23 computations (30.3% saved)

series20.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
2.0ms
y
@0
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
1.0ms
y
@inf
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
1.0ms
x
@0
(/.f64 (-.f64 1 x) (*.f64 3 y))
1.0ms
y
@-inf
(/.f64 (-.f64 1 x) (*.f64 3 y))

rewrite129.0ms (1.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify79.0ms (1%)

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)))

eval236.0ms (3.1%)

Compiler

Compiled 10190 to 6852 computations (32.8% saved)

prune320.0ms (4.2%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New50210512
Fresh448
Picked011
Done145
Total50719526
Error
0b
Counts
526 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
▶41.0b
(*.f64 1/3 (*.f64 x (/.f64 x y)))
▶61.2b
(*.f64 -4/3 (/.f64 x y))
✓47.5b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
▶6.6b
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) y)
✓21.3b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
47.5b
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
41.0b
(*.f64 (/.f64 (neg.f64 x) y) (-.f64 1 (/.f64 x 3)))
✓21.6b
(/.f64 1 y)
▶41.0b
(*.f64 (/.f64 x y) (*.f64 x 1/3))
21.6b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
✓0.6b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
21.9b
(/.f64 3 (*.f64 y 3))
▶47.2b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
✓7.0b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
11.1b
(/.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) (*.f64 (+.f64 x 3) y))
21.3b
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
41.0b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
41.1b
(*.f64 1/3 (/.f64 x (/.f64 y x)))
61.2b
(*.f64 x (/.f64 -4/3 y))
Compiler

Compiled 333 to 244 computations (26.7% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1 x) (-.f64 3 x))
✓0.1b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3)
✓6.1b
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) y)
Compiler

Compiled 39 to 28 computations (28.2% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite74.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
565×log-prod_binary64
372×pow-prod-down_binary64
300×pow2_binary64
226×log-div_binary64
212×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
122929
2323429
Stop Event
1×node limit
Counts
2 → 85
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) y)
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 1/3 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 2)) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) (*.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) -1/3) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) y) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) y) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 1) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 3 (*.f64 (-.f64 1 x) (-.f64 3 x))) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 y) (*.f64 (-.f64 1 x) (-.f64 3 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))) 2)) (log.f64 (cbrt.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 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x))))) (log.f64 (sqrt.f64 (cbrt.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 (-.f64 3 x) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 3 (-.f64 3 x))) (/.f64 x (/.f64 3 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (/.f64 3 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 2)) (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))))))) (#(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))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (*.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (neg.f64 (-.f64 3 x))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (-.f64 1 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) 3) (-.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (*.f64 (-.f64 1 x) (-.f64 3 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 3 (*.f64 (-.f64 1 x) (-.f64 3 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.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 (-.f64 3 x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) 1/3))) 1))))))

simplify76.0ms (1%)

Algorithm
1×egg-herbie
Rules
790×fma-def_binary64
771×unsub-neg_binary64
365×distribute-rgt-neg-out_binary64
331×distribute-rgt-in_binary64
312×distribute-neg-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027529
159525
2133499
3376477
41267417
54912417
Stop Event
1×node limit
Counts
121 → 105
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
1
(+.f64 1 (*.f64 -4/3 x))
(+.f64 1 (+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2))))
(*.f64 1/3 (pow.f64 x 2))
(+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2))))
(*.f64 1/3 (pow.f64 x 2))
(+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -4/3 x) (*.f64 1/3 (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) (fma.f64 x 1/3 -4/3)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (/.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) (fma.f64 x 1/3 -4/3))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (/.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) (fma.f64 x 1/3 -4/3))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
1
(+.f64 1 (*.f64 -4/3 x))
(fma.f64 -4/3 x 1)
(+.f64 1 (+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -4/3 x (*.f64 1/3 (*.f64 x x))))
(+.f64 1 (fma.f64 -4/3 x (*.f64 x (*.f64 x 1/3))))
(fma.f64 -4/3 x (fma.f64 x (*.f64 x 1/3) 1))
(fma.f64 x (fma.f64 x 1/3 -4/3) 1)
(+.f64 1 (+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -4/3 x (*.f64 1/3 (*.f64 x x))))
(+.f64 1 (fma.f64 -4/3 x (*.f64 x (*.f64 x 1/3))))
(fma.f64 -4/3 x (fma.f64 x (*.f64 x 1/3) 1))
(fma.f64 x (fma.f64 x 1/3 -4/3) 1)
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 x 1/3))
(+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 -4/3 x (*.f64 1/3 (*.f64 x x)))
(fma.f64 -4/3 x (*.f64 x (*.f64 x 1/3)))
(*.f64 x (+.f64 (*.f64 x 1/3) -4/3))
(*.f64 x (fma.f64 x 1/3 -4/3))
(+.f64 1 (+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -4/3 x (*.f64 1/3 (*.f64 x x))))
(+.f64 1 (fma.f64 -4/3 x (*.f64 x (*.f64 x 1/3))))
(fma.f64 -4/3 x (fma.f64 x (*.f64 x 1/3) 1))
(fma.f64 x (fma.f64 x 1/3 -4/3) 1)
(+.f64 1 (+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -4/3 x (*.f64 1/3 (*.f64 x x))))
(+.f64 1 (fma.f64 -4/3 x (*.f64 x (*.f64 x 1/3))))
(fma.f64 -4/3 x (fma.f64 x (*.f64 x 1/3) 1))
(fma.f64 x (fma.f64 x 1/3 -4/3) 1)
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 x 1/3))
(+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 -4/3 x (*.f64 1/3 (*.f64 x x)))
(fma.f64 -4/3 x (*.f64 x (*.f64 x 1/3)))
(*.f64 x (+.f64 (*.f64 x 1/3) -4/3))
(*.f64 x (fma.f64 x 1/3 -4/3))
(+.f64 1 (+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -4/3 x (*.f64 1/3 (*.f64 x x))))
(+.f64 1 (fma.f64 -4/3 x (*.f64 x (*.f64 x 1/3))))
(fma.f64 -4/3 x (fma.f64 x (*.f64 x 1/3) 1))
(fma.f64 x (fma.f64 x 1/3 -4/3) 1)
(+.f64 1 (+.f64 (*.f64 -4/3 x) (*.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -4/3 x (*.f64 1/3 (*.f64 x x))))
(+.f64 1 (fma.f64 -4/3 x (*.f64 x (*.f64 x 1/3))))
(fma.f64 -4/3 x (fma.f64 x (*.f64 x 1/3) 1))
(fma.f64 x (fma.f64 x 1/3 -4/3) 1)

localize43.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 6 computations (53.8% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite68.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify200.0ms (2.6%)

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

Useful iterations: 0 (0.0ms)

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite143.0ms (1.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
114914
2193714
Stop Event
1×node limit
Counts
2 → 34
Calls
Call 1
Inputs
(*.f64 x 1/3)
(*.f64 (/.f64 x y) (*.f64 x 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 1/3 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 1/3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (*.f64 x 1/3))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (*.f64 x 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/3) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 1/3) 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 (*.f64 x 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))))))))

simplify142.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
771×sqr-pow_binary64
562×associate-*l*_binary64
474×*-commutative_binary64
416×unswap-sqr_binary64
366×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09288
118288
232288
362288
4178288
5664288
62471288
73898288
84054288
94264288
104482288
114808288
125204288
135814288
146530288
157338288
Stop Event
1×node limit
Counts
70 → 37
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.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 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 1/3 x) x) y)
(*.f64 1/3 (*.f64 (/.f64 x y) x))
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x (*.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 17 computations (34.6% saved)

series6.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite80.0ms (1.1%)

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
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(+.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))))))

simplify94.0ms (1.2%)

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))

eval169.0ms (2.2%)

Compiler

Compiled 5437 to 3780 computations (30.5% saved)

prune93.0ms (1.2%)

Pruning

24 alts after pruning (14 fresh and 10 done)

PrunedKeptTotal
New39510405
Fresh549
Picked011
Done099
Total40024424
Error
0b
Counts
424 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
✓41.0b
(*.f64 1/3 (*.f64 x (/.f64 x y)))
61.2b
(/.f64 -4/3 (/.f64 y x))
✓61.2b
(*.f64 -4/3 (/.f64 x y))
✓47.2b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
41.0b
(/.f64 x (/.f64 y (*.f64 x 1/3)))
✓47.5b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
✓6.6b
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) y)
▶61.2b
(/.f64 (*.f64 -4/3 x) y)
47.5b
(*.f64 1/3 (/.f64 (*.f64 x x) y))
✓7.0b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
40.7b
(*.f64 (/.f64 (+.f64 x -4) y) (/.f64 x 3))
✓21.6b
(/.f64 1 y)
✓41.0b
(*.f64 (/.f64 x y) (*.f64 x 1/3))
21.6b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
✓0.6b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
21.3b
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
21.9b
(/.f64 3 (*.f64 y 3))
40.7b
(*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))
▶41.0b
(/.f64 1/3 (/.f64 (/.f64 y x) x))
41.0b
(*.f64 x (*.f64 x (/.f64 1/3 y)))
▶61.2b
(*.f64 x (/.f64 -4/3 y))
▶11.1b
(/.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) (*.f64 (+.f64 x 3) y))
✓21.3b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
▶47.5b
(/.f64 (/.f64 (*.f64 x x) 3) y)
Compiler

Compiled 368 to 267 computations (27.4% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 x 3) y)
✓0.1b
(*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3))
✓0.1b
(*.f64 (-.f64 1 x) 1/3)
✓10.7b
(/.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) (*.f64 (+.f64 x 3) y))
Compiler

Compiled 60 to 38 computations (36.7% saved)

series12.0ms (0.2%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) (*.f64 (+.f64 x 3) y))
1.0ms
y
@0
(/.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) (*.f64 (+.f64 x 3) y))
1.0ms
x
@inf
(/.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) (*.f64 (+.f64 x 3) y))
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) (*.f64 (+.f64 x 3) y))
1.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) (*.f64 (+.f64 x 3) y))

rewrite101.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
446×prod-diff_binary64
294×expm1-udef_binary64
293×log1p-udef_binary64
289×fma-def_binary64
254×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01555
133955
2486755
Stop Event
1×node limit
Counts
4 → 130
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) (*.f64 (+.f64 x 3) y))
(*.f64 (-.f64 1 x) 1/3)
(*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3))
(*.f64 (+.f64 x 3) y)
Outputs
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(+.f64 x 3)) (*.f64 1/3 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 9 (*.f64 x x)) (+.f64 x 3)) (*.f64 1/3 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 9 (*.f64 x x)) (+.f64 x 3)) (*.f64 1/3 (/.f64 (-.f64 1 x) y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (*.f64 (neg.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (*.f64 1/3 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) 1/3) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1/3) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) 1/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 (-.f64 1 x) 1/3)) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 (-.f64 1 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1 x) 1/3) 9) (*.f64 (*.f64 (-.f64 1 x) 1/3) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 729 (pow.f64 x 6)) (*.f64 (-.f64 1 x) 1/3)) (fma.f64 (*.f64 x x) (fma.f64 x x 9) 81))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 81 (pow.f64 x 4)) (*.f64 (-.f64 1 x) 1/3)) (fma.f64 x x 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 x) 1/3) (-.f64 729 (pow.f64 x 6))) (fma.f64 (*.f64 x x) (fma.f64 x x 9) 81))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 x) 1/3) (-.f64 81 (pow.f64 x 4))) (fma.f64 x x 9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (-.f64 1 x)) (-.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 9 (*.f64 x x)) 3) (pow.f64 (*.f64 (-.f64 1 x) 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1 x) 1/3) 3) (pow.f64 (-.f64 9 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 (-.f64 1 x) 1/3) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 (-.f64 1 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) 1/3) 9 (*.f64 (*.f64 (-.f64 1 x) 1/3) (*.f64 x (neg.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 3) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 3) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27 (pow.f64 x 3)) y) (-.f64 (fma.f64 x x 9) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -9) y) (+.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 9) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -9)) (+.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 3) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 3) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 3) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 3) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x 3) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 3) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 3) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 3) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 3 (*.f64 y x))))))

simplify75.0ms (1%)

Algorithm
1×egg-herbie
Rules
505×associate-/l*_binary64
430×times-frac_binary64
306×associate-*l/_binary64
294×fma-def_binary64
234×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
047899
1128873
2297857
3797811
42967791
57987791
Stop Event
1×node limit
Counts
202 → 165
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 9 (pow.f64 x 2)) (-.f64 1 x)) (*.f64 y (+.f64 3 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 9 (pow.f64 x 2)) (-.f64 1 x)) (*.f64 y (+.f64 3 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 9 (pow.f64 x 2)) (-.f64 1 x)) (*.f64 y (+.f64 3 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 9 (pow.f64 x 2)) (-.f64 1 x)) (*.f64 y (+.f64 3 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 9 (pow.f64 x 2)) (-.f64 1 x)) (*.f64 y (+.f64 3 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 9 (pow.f64 x 2)) (-.f64 1 x)) (*.f64 y (+.f64 3 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 9 (pow.f64 x 2)) (-.f64 1 x)) (*.f64 y (+.f64 3 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 9 (pow.f64 x 2)) (-.f64 1 x)) (*.f64 y (+.f64 3 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 9 (pow.f64 x 2)) (-.f64 1 x)) (*.f64 y (+.f64 3 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 9 (pow.f64 x 2)) (-.f64 1 x)) (*.f64 y (+.f64 3 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 9 (pow.f64 x 2)) (-.f64 1 x)) (*.f64 y (+.f64 3 x))))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 9 (pow.f64 x 2)) (-.f64 1 x)) (*.f64 y (+.f64 3 x))))
1/3
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
(+.f64 1/3 (*.f64 -1/3 x))
3
(+.f64 (*.f64 -3 x) 3)
(+.f64 (*.f64 -3 x) (+.f64 (*.f64 -1/3 (pow.f64 x 2)) 3))
(+.f64 (*.f64 -3 x) (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 3 (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -3 x) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 3 (+.f64 (*.f64 -3 x) (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -3 x) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 3 (+.f64 (*.f64 -3 x) (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 3 y)
(+.f64 (*.f64 y x) (*.f64 3 y))
(+.f64 (*.f64 y x) (*.f64 3 y))
(+.f64 (*.f64 y x) (*.f64 3 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 3 y))
(+.f64 (*.f64 y x) (*.f64 3 y))
(+.f64 (*.f64 y x) (*.f64 3 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 3 y))
(+.f64 (*.f64 y x) (*.f64 3 y))
(+.f64 (*.f64 y x) (*.f64 3 y))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 3 x))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (/.f64 (*.f64 1/3 (*.f64 x x)) y))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.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 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (/.f64 (*.f64 1/3 (*.f64 x x)) y))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))
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(+.f64 (*.f64 y x) (*.f64 3 y))
(*.f64 y (+.f64 x 3))
(+.f64 (*.f64 y x) (*.f64 3 y))
(*.f64 y (+.f64 x 3))
(+.f64 (*.f64 y x) (*.f64 3 y))
(*.f64 y (+.f64 x 3))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 x 3))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 x 3))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 x 3))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 x 3))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 x 3))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 x 3))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 x 3))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 x 3))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 x 3))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 x 3))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 x 3))
(*.f64 y (+.f64 3 x))
(*.f64 y (+.f64 x 3))

localize5.0ms (0.1%)

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)

series46.0ms (0.6%)

Counts
2 → 24
Calls

9 calls:

TimeVariablePointExpression
43.0ms
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
@-inf
(*.f64 x (/.f64 -4/3 y))
0.0ms
y
@-inf
(*.f64 x (/.f64 -4/3 y))

rewrite59.0ms (0.8%)

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)))))))

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
1×saturated
Counts
64 → 41
Calls
Call 1
Inputs
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
Outputs
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

9 calls:

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

rewrite57.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify17.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (/.f64 y x) x)
✓0.5b
(/.f64 1/3 (/.f64 (/.f64 y x) x))
Compiler

Compiled 20 to 7 computations (65% saved)

series12.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
(/.f64 (/.f64 y x) x)
1.0ms
x
@0
(/.f64 (/.f64 y x) x)
1.0ms
y
@0
(/.f64 (/.f64 y x) x)
0.0ms
y
@inf
(/.f64 (/.f64 y x) x)
0.0ms
y
@0
(/.f64 1/3 (/.f64 (/.f64 y x) x))

rewrite67.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
881×pow1_binary64
823×add-log-exp_binary64
823×log1p-expm1-u_binary64
823×expm1-log1p-u_binary64
807×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115917
2223517
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(/.f64 (/.f64 y x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1/3 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))) 2) (cbrt.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/3) (/.f64 (sqrt.f64 y) x)) (/.f64 (sqrt.f64 1/3) (/.f64 (sqrt.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (/.f64 (neg.f64 y) (*.f64 x x))))))) (#(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 1/3 y) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (neg.f64 y) x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1/3 y) x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1/3 y) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1/3 y) x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/3) (/.f64 (sqrt.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y x) (*.f64 1/3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 x (/.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x x))) 2) (cbrt.f64 (/.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (*.f64 (cbrt.f64 (/.f64 y x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 y x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 y x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 y x)) 1) (/.f64 (sqrt.f64 (/.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 y) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (*.f64 x x))))))))

simplify143.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
704×associate-/l/_binary64
531×associate-*l*_binary64
498×associate-*r/_binary64
495×*-commutative_binary64
470×sqr-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09408
117408
232408
365408
4176408
5634408
62675408
73806408
84016408
94236408
104464408
114800408
126323408
136998408
147833408
Stop Event
1×node limit
Counts
112 → 68
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 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (pow.f64 x 2))
(/.f64 y (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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.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 x (/.f64 x y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (*.f64 1/3 x) (/.f64 x y))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))
(/.f64 y (pow.f64 x 2))
(/.f64 y (*.f64 x x))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (*.f64 x x) 3)
✓11.6b
(/.f64 (/.f64 (*.f64 x x) 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) 3)
0.0ms
x
@0
(/.f64 (*.f64 x x) 3)
0.0ms
y
@-inf
(/.f64 (/.f64 (*.f64 x x) 3) y)
0.0ms
x
@0
(/.f64 (/.f64 (*.f64 x x) 3) y)
0.0ms
x
@inf
(/.f64 (/.f64 (*.f64 x x) 3) y)

rewrite93.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
829×pow1_binary64
777×add-log-exp_binary64
777×log1p-expm1-u_binary64
777×expm1-log1p-u_binary64
762×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115717
2211417
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 x x) 3) y)
(/.f64 (*.f64 x x) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x y) (/.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (*.f64 3 y)))))) (#(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 (*.f64 x (*.f64 x 1/3)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (/.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) (/.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/9)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 x 3))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 x 3))) 2) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 3)) (*.f64 (/.f64 x (sqrt.f64 3)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 3 y))) (/.f64 x (sqrt.f64 (*.f64 3 y))))))) (#(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 x (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/9)) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 3)) 1) (/.f64 (/.f64 x (sqrt.f64 3)) 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 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x (*.f64 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 y) (/.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 3)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x (sqrt.f64 3)) (cbrt.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 (sqrt.f64 y)) (/.f64 (*.f64 x (*.f64 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 x (*.f64 x 1/3))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (/.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (/.f64 3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/9) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x y) (/.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (/.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (/.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/9)) (cbrt.f64 (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 3)) (/.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) -3))))) (#(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 (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/3))))))))

simplify138.0ms (1.8%)

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
99 → 66
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))

eval242.0ms (3.2%)

Compiler

Compiled 5658 to 3672 computations (35.1% saved)

prune147.0ms (1.9%)

Pruning

21 alts after pruning (9 fresh and 12 done)

PrunedKeptTotal
New3884392
Fresh459
Picked011
Done31114
Total39521416
Error
0b
Counts
416 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
✓47.5b
(*.f64 (*.f64 x x) (/.f64 1/3 y))
✓6.6b
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) y)
✓61.2b
(/.f64 (*.f64 -4/3 x) y)
47.5b
(*.f64 1/3 (/.f64 (*.f64 x x) y))
✓7.0b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
61.2b
(/.f64 x (*.f64 y -3/4))
41.0b
(*.f64 (/.f64 x y) (/.f64 x 3))
✓21.3b
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
✓21.6b
(/.f64 1 y)
21.6b
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
✓0.6b
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
21.3b
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
21.9b
(/.f64 3 (*.f64 y 3))
✓41.0b
(/.f64 1/3 (/.f64 (/.f64 y x) x))
41.0b
(*.f64 (*.f64 (/.f64 1/3 y) x) x)
40.7b
(*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))
✓61.2b
(*.f64 -4/3 (/.f64 x y))
✓47.2b
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
47.0b
(/.f64 1/3 (*.f64 y (*.f64 (/.f64 1 x) (/.f64 1 x))))
✓47.5b
(/.f64 (/.f64 (*.f64 x x) 3) y)
✓61.2b
(*.f64 x (/.f64 -4/3 y))
Compiler

Compiled 199 to 146 computations (26.6% saved)

regimes196.0ms (2.6%)

Counts
39 → 1
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(/.f64 -4/3 (/.f64 y x))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 3 (*.f64 y 3))
(*.f64 (/.f64 x y) (/.f64 x 3))
(*.f64 (*.f64 (/.f64 1/3 y) x) x)
(/.f64 x (/.f64 y (*.f64 x 1/3)))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(/.f64 (/.f64 (*.f64 x x) 3) y)
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 (/.f64 (+.f64 x -4) y) (/.f64 x 3))
(*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 x) y) (-.f64 1 (/.f64 x 3)))
(/.f64 1/3 (*.f64 y (*.f64 (/.f64 1 x) (/.f64 1 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) y)
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))
(/.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 (-.f64 9 (*.f64 x x)) (*.f64 (-.f64 1 x) 1/3)) (*.f64 (+.f64 x 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 3)
Outputs
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))
Calls

7 calls:

62.0ms
(*.f64 y 3)
49.0ms
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
22.0ms
(*.f64 y 3)
22.0ms
x
18.0ms
y
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
0.1b1(*.f64 (-.f64 1 x) (-.f64 3 x))
0.1b1(*.f64 (-.f64 1 x) (-.f64 3 x))
0.1b1(*.f64 y 3)
0.1b1(*.f64 y 3)
Compiler

Compiled 367 to 236 computations (35.7% saved)

regimes260.0ms (3.4%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(/.f64 -4/3 (/.f64 y x))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 3 (*.f64 y 3))
(*.f64 (/.f64 x y) (/.f64 x 3))
(*.f64 (*.f64 (/.f64 1/3 y) x) x)
(/.f64 x (/.f64 y (*.f64 x 1/3)))
(*.f64 1/3 (/.f64 (*.f64 x x) y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(/.f64 (/.f64 (*.f64 x x) 3) y)
(*.f64 1/3 (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 (*.f64 x x) 1/3) y)
(*.f64 (/.f64 x y) (*.f64 x 1/3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 (*.f64 x x) (*.f64 y 3))
(*.f64 x (*.f64 x (/.f64 1/3 y)))
(*.f64 (*.f64 x x) (/.f64 1/3 y))
(*.f64 (/.f64 (+.f64 x -4) y) (/.f64 x 3))
(*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))
(/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3))
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))
(/.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 x) y) (-.f64 1 (/.f64 x 3)))
(/.f64 1/3 (*.f64 y (*.f64 (/.f64 1 x) (/.f64 1 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) y)
Outputs
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) y)
(*.f64 (/.f64 x y) (/.f64 x 3))
Calls

6 calls:

68.0ms
x
59.0ms
y
56.0ms
(*.f64 y 3)
46.0ms
(*.f64 y 3)
10.0ms
(*.f64 (-.f64 1 x) (-.f64 3 x))
Results
ErrorSegmentsBranch
0.1b3x
5.3b3y
0.1b2(*.f64 (-.f64 1 x) (-.f64 3 x))
0.1b2(*.f64 (-.f64 1 x) (-.f64 3 x))
5.3b3(*.f64 y 3)
5.3b3(*.f64 y 3)
Compiler

Compiled 267 to 163 computations (39% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.0374250821845287e+291
+inf
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes389.0ms (5.1%)

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

4 calls:

152.0ms
y
104.0ms
(*.f64 y 3)
76.0ms
(*.f64 y 3)
47.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
18.4b5y
18.4b5(*.f64 y 3)
18.4b5(*.f64 y 3)
Compiler

Compiled 238 to 141 computations (40.8% saved)

bsearch34.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
2.0324510970799817e-7
15.63619319821962
17.0ms
-102968357.36220635
-0.00019093493834963082
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes413.0ms (5.4%)

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

4 calls:

194.0ms
(*.f64 y 3)
82.0ms
x
74.0ms
y
57.0ms
(*.f64 y 3)
Results
ErrorSegmentsBranch
1.1b3x
18.5b5y
18.5b5(*.f64 y 3)
18.5b5(*.f64 y 3)
Compiler

Compiled 163 to 92 computations (43.6% saved)

bsearch35.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
2.0324510970799817e-7
15.63619319821962
18.0ms
-102968357.36220635
-0.00019093493834963082
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes159.0ms (2.1%)

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

3 calls:

77.0ms
y
60.0ms
(*.f64 y 3)
18.0ms
x
Results
ErrorSegmentsBranch
1.7b3x
18.8b5y
18.8b5(*.f64 y 3)
Compiler

Compiled 74 to 46 computations (37.8% saved)

bsearch35.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
2.0324510970799817e-7
15.63619319821962
18.0ms
-102968357.36220635
-0.00019093493834963082
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes53.0ms (0.7%)

Accuracy

Total -39.8b remaining (-184.2%)

Threshold costs -39.8b (-184.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 1 y)
(/.f64 x (*.f64 y -3/4))
(/.f64 -4/3 (/.f64 y x))
(/.f64 (*.f64 -4/3 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 3 (*.f64 y 3))
Outputs
(/.f64 1 y)
Calls

3 calls:

5.0ms
(*.f64 y 3)
5.0ms
y
5.0ms
x
Results
ErrorSegmentsBranch
21.6b1x
21.6b1y
21.6b1(*.f64 y 3)
Compiler

Compiled 46 to 31 computations (32.6% saved)

simplify12.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
039187
153187
262187
366187
468187
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))
(if (<=.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 5000000000000000066282994891787081340343280544793230017816015738971246363452126607307989709019681249863687319282946045494061487325003512892275869151373365842953697657627637323430529093779107308789748100916331176292769417786818298761053780855470759280014374688417047589275644482057527862755328) (/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) y) (*.f64 (/.f64 x y) (/.f64 x 3)))
(if (<=.f64 x -6910089490523705/67108864) (*.f64 (/.f64 (+.f64 x -4) y) (/.f64 x 3)) (if (<=.f64 x 1919595787784429/9444732965739290427392) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 (+.f64 x -4) y) (/.f64 x 3))))
(if (<=.f64 x -6910089490523705/67108864) (*.f64 (/.f64 x y) (/.f64 x 3)) (if (<=.f64 x 1919595787784429/9444732965739290427392) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x y) (/.f64 x 3))))
(if (<=.f64 x -6910089490523705/67108864) (*.f64 (/.f64 x y) (/.f64 x 3)) (if (<=.f64 x 1919595787784429/9444732965739290427392) (/.f64 1 y) (*.f64 (/.f64 x y) (/.f64 x 3))))
(/.f64 1 y)
Outputs
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))
(if (<=.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 5000000000000000066282994891787081340343280544793230017816015738971246363452126607307989709019681249863687319282946045494061487325003512892275869151373365842953697657627637323430529093779107308789748100916331176292769417786818298761053780855470759280014374688417047589275644482057527862755328) (/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) y) (*.f64 (/.f64 x y) (/.f64 x 3)))
(if (<=.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 5000000000000000066282994891787081340343280544793230017816015738971246363452126607307989709019681249863687319282946045494061487325003512892275869151373365842953697657627637323430529093779107308789748100916331176292769417786818298761053780855470759280014374688417047589275644482057527862755328) (/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) y) (*.f64 (/.f64 x 3) (/.f64 x y)))
(if (<=.f64 x -6910089490523705/67108864) (*.f64 (/.f64 (+.f64 x -4) y) (/.f64 x 3)) (if (<=.f64 x 1919595787784429/9444732965739290427392) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 (+.f64 x -4) y) (/.f64 x 3))))
(if (<=.f64 x -6910089490523705/67108864) (*.f64 (/.f64 x 3) (/.f64 (+.f64 x -4) y)) (if (<=.f64 x 1919595787784429/9444732965739290427392) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (*.f64 (/.f64 x 3) (/.f64 (+.f64 x -4) y))))
(if (<=.f64 x -6910089490523705/67108864) (*.f64 (/.f64 x y) (/.f64 x 3)) (if (<=.f64 x 1919595787784429/9444732965739290427392) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x y) (/.f64 x 3))))
(if (<=.f64 x -6910089490523705/67108864) (*.f64 (/.f64 x 3) (/.f64 x y)) (if (<=.f64 x 1919595787784429/9444732965739290427392) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (*.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -6910089490523705/67108864) (*.f64 (/.f64 x y) (/.f64 x 3)) (if (<=.f64 x 1919595787784429/9444732965739290427392) (/.f64 1 y) (*.f64 (/.f64 x y) (/.f64 x 3))))
(if (<=.f64 x -6910089490523705/67108864) (*.f64 (/.f64 x 3) (/.f64 x y)) (if (<=.f64 x 1919595787784429/9444732965739290427392) (/.f64 1 y) (*.f64 (/.f64 x 3) (/.f64 x y))))
(/.f64 1 y)
Compiler

Compiled 141 to 98 computations (30.5% saved)

soundness188.0ms (2.5%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
027499
160487
2136463
3366463
41225419
54734419
Stop Event
1×node limit
Compiler

Compiled 10 to 7 computations (30% saved)

end67.0ms (0.9%)

Compiler

Compiled 131 to 86 computations (34.4% saved)

Profiling

Loading profile data...