Details

Time bar (total: 5.8s)

analyze66.0ms (1.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
18.7%81.2%0.1%6
46.8%53.1%0.1%7
54.6%45.3%0.1%8
71%28.9%0.1%9
76.1%23.8%0.1%10
84.9%15%0.1%11
87.7%12.2%0.1%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample1.0s (17.6%)

Results
990.0ms8255×body256valid
0.0ms1×body512valid

preprocess187.0ms (3.3%)

Algorithm
2×egg-herbie
Rules
916×fma-neg_binary64
663×div-sub_binary64
494×times-frac_binary64
262×distribute-rgt-in_binary64
240×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12420
23720
36420
413120
527020
654320
7160720
8365120
9492420
10532020
11535220
12537620
13537820
14547820
15550220
16550220
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (-.f64 1 x))
Outputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (-.f64 1 x))
(/.f64 (-.f64 x y) (-.f64 x 1))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify97.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
538×fma-neg_binary64
369×fma-def_binary64
322×div-sub_binary64
270×times-frac_binary64
138×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11510
22210
33710
47010
512010
622710
744610
8107710
9241810
10306110
11334410
12335410
13335410
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
Outputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (+.f64 y -1))

eval1.0ms (0%)

Compiler

Compiled 16 to 10 computations (37.5% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize17.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series7.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite217.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
665×prod-diff_binary64
612×unpow-prod-down_binary64
429×log-prod_binary64
258×egg-rr
244×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116310
2250310
Stop Event
1×node limit
Counts
1 → 258
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) (+.f64 y -1))
Outputs
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(-.f64 y x))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y -1)) (sqrt.f64 (-.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 (-.f64 y x))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 (-.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) -1) (/.f64 1 (fma.f64 x (+.f64 y x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 (*.f64 y y) (*.f64 x x))) -1) (/.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 y -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 y x) (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (+.f64 y -1)) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y (+.f64 y -1)) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 2) (cbrt.f64 (/.f64 y (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) (sqrt.f64 (/.f64 y (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 y (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y -1)) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y -1)) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y -1))) (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1) (neg.f64 (/.f64 x (+.f64 y -1))))))))

simplify79.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
581×times-frac_binary64
470×associate--l+_binary64
361×fma-def_binary64
338×associate--l-_binary64
299×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061468
1204411
2754360
33390339
Stop Event
1×node limit
Counts
282 → 282
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x)))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2)))
(/.f64 y (-.f64 y 1))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) x)
(-.f64 x (*.f64 y (-.f64 1 x)))
(fma.f64 y (+.f64 x -1) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x))
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (*.f64 y y)) x))
(+.f64 x (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))))
(+.f64 x (*.f64 (*.f64 y (-.f64 1 x)) (-.f64 -1 y)))
(fma.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x)))
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (*.f64 y y)) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (pow.f64 y 3)) x)))
(+.f64 (*.f64 (-.f64 1 x) (+.f64 (*.f64 (neg.f64 y) y) (neg.f64 (pow.f64 y 3)))) (-.f64 x (*.f64 y (-.f64 1 x))))
(+.f64 (fma.f64 y (+.f64 x -1) x) (*.f64 (*.f64 y (*.f64 y (-.f64 1 x))) (-.f64 -1 y)))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) y)))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 (neg.f64 x) y)))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(-.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 (neg.f64 x) y)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y))))
(+.f64 (-.f64 1 (/.f64 (+.f64 x -1) y)) (/.f64 (-.f64 1 x) (*.f64 y y)))
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y))))))))
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (pow.f64 y 3))))))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (+.f64 (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 1 (*.f64 y y)))) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 1 (pow.f64 y 3))) (/.f64 (-.f64 1 x) y)) (/.f64 x (pow.f64 y 3)))
(+.f64 (+.f64 1 (/.f64 1 y)) (+.f64 (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 x y)) (/.f64 (-.f64 1 x) (pow.f64 y 3))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 (neg.f64 x) y)))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(-.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 (neg.f64 x) y)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y))))
(+.f64 (-.f64 1 (/.f64 (+.f64 x -1) y)) (/.f64 (-.f64 1 x) (*.f64 y y)))
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 y))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (pow.f64 y 3)))))) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 x (*.f64 y y)))))
(+.f64 1 (+.f64 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) (/.f64 (-.f64 1 x) (*.f64 y y))))
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 y))))
(/.f64 y (-.f64 y 1))
(/.f64 y (+.f64 y -1))
(/.f64 y (+.f64 -1 y))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(/.f64 (neg.f64 x) (+.f64 y -1))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(/.f64 (neg.f64 x) (+.f64 y -1))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))

eval249.0ms (4.3%)

Compiler

Compiled 11380 to 7813 computations (31.3% saved)

prune86.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2739282
Fresh000
Picked011
Done000
Total27310283
Error
0b
Counts
283 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.7b
(/.f64 (neg.f64 x) (+.f64 -1 y))
39.8b
1
40.5b
x
17.5b
(*.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) (+.f64 y 1))
✓0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
▶31.8b
(+.f64 1 (/.f64 (-.f64 1 x) y))
32.7b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) y)))
▶0.1b
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x))
▶31.7b
(/.f64 y (-.f64 y 1))
▶32.6b
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
Compiler

Compiled 173 to 123 computations (28.9% saved)

localize22.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 16 computations (38.5% saved)

series6.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite110.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
441×log-prod_binary64
440×prod-diff_binary64
340×exp-prod_binary64
304×pow-prod-down_binary64
251×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
119317
2262517
Stop Event
1×node limit
Counts
2 → 97
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x))
(/.f64 1 (+.f64 y -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 y x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1 (+.f64 y -1))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 y -1)) y) (*.f64 (/.f64 1 (+.f64 y -1)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (+.f64 y -1)) (/.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y -1) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y x) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (/.f64 (+.f64 y -1) (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (+.f64 y -1) (sqrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 (+.f64 y -1) (fma.f64 x (+.f64 y x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 y x)) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 (+.f64 1 (neg.f64 y)) (fma.f64 x (+.f64 y x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (+.f64 1 (neg.f64 y)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) 1) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) 1) (*.f64 (+.f64 y x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) -1) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) -1) (*.f64 (+.f64 y x) (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) 1) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 y x)) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 1 (+.f64 y -1))) (fma.f64 x (+.f64 y x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 1 (+.f64 y -1))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x (+.f64 y x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y x) -1) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 y -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))) (sqrt.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (+.f64 y -1)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 y -1)) y (*.f64 (/.f64 1 (+.f64 y -1)) (neg.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 y -1))) (cbrt.f64 (pow.f64 (+.f64 y -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 y -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y -1) -1/2) (pow.f64 (+.f64 y -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y -1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 1 (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 y -1)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 y -1))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 y -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y -1) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y -1)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y -1)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y -1))) 1) 1))))))

simplify96.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
581×times-frac_binary64
483×fma-def_binary64
369×sub-neg_binary64
332×associate-+l+_binary64
301×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079647
1254576
2897522
33913504
Stop Event
1×node limit
Counts
133 → 135
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x)))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2)))
(/.f64 y (-.f64 y 1))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
-1
(-.f64 (*.f64 -1 y) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y))) 1)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) x)
(-.f64 x (*.f64 y (-.f64 1 x)))
(fma.f64 y (+.f64 x -1) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x))
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (*.f64 y y)) x))
(+.f64 x (*.f64 (-.f64 1 x) (neg.f64 (fma.f64 y y y))))
(+.f64 x (*.f64 (+.f64 x -1) (fma.f64 y y y)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x)))
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (*.f64 y y)) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (pow.f64 y 3)) x)))
(+.f64 (-.f64 x (*.f64 (-.f64 1 x) (pow.f64 y 3))) (*.f64 (-.f64 1 x) (neg.f64 (fma.f64 y y y))))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (neg.f64 y) (*.f64 y (fma.f64 y y y)))))
(+.f64 x (*.f64 (-.f64 y (*.f64 x y)) (-.f64 -1 (fma.f64 y y y))))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (+.f64 (/.f64 1 y) 1) (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 (neg.f64 x) y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y))))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (+.f64 x -1) y))
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y))))))))
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) 1) (fma.f64 -1 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x y)) (/.f64 x (*.f64 y y))))) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 1 (pow.f64 y 3))) (/.f64 (-.f64 1 x) y)) (/.f64 x (pow.f64 y 3)))
(-.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) y))) (/.f64 x (pow.f64 y 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(+.f64 (+.f64 (/.f64 1 y) 1) (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2)))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 (neg.f64 x) y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y))))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (+.f64 x -1) y))
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 y))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (pow.f64 y 3))))) (/.f64 x (*.f64 y y))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 1 x) (pow.f64 y 3)))) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 x (*.f64 y y))))
(+.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))))
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 y))))
(/.f64 y (-.f64 y 1))
(/.f64 y (+.f64 y -1))
(/.f64 y (+.f64 -1 y))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(/.f64 (neg.f64 x) (+.f64 y -1))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(/.f64 x (+.f64 (neg.f64 y) 1))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(/.f64 (neg.f64 x) (+.f64 y -1))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(/.f64 x (+.f64 (neg.f64 y) 1))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
-1
(-.f64 (*.f64 -1 y) 1)
(fma.f64 -1 y -1)
(-.f64 -1 y)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y)) 1)
(+.f64 (neg.f64 (*.f64 y y)) (fma.f64 -1 y -1))
(fma.f64 -1 (fma.f64 y y y) -1)
(-.f64 -1 (fma.f64 y y y))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y))) 1)
(+.f64 (fma.f64 -1 (*.f64 y y) (*.f64 -1 (+.f64 (pow.f64 y 3) y))) -1)
(+.f64 -1 (+.f64 (neg.f64 (fma.f64 y y y)) (neg.f64 (pow.f64 y 3))))
(fma.f64 -1 (*.f64 y (fma.f64 y y y)) (-.f64 -1 y))
(*.f64 (fma.f64 y y 1) (-.f64 -1 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 8 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite81.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
603×pow1_binary64
565×add-log-exp_binary64
564×log1p-expm1-u_binary64
564×expm1-log1p-u_binary64
554×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11117
215367
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 y (-.f64 y 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 2) (cbrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) (sqrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (+.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 y (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y -1))))))))

simplify77.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
631×associate-/r*_binary64
629×associate-/l/_binary64
467×fma-neg_binary64
412×fma-def_binary64
325×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029152
185144
2237138
3775132
43325132
55725132
Stop Event
1×node limit
Counts
44 → 47
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (pow.f64 y 4)) (*.f64 -1 y))))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(fma.f64 -1 (*.f64 y y) (neg.f64 y))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(fma.f64 -1 (*.f64 y y) (*.f64 -1 (+.f64 (pow.f64 y 3) y)))
(-.f64 (-.f64 (neg.f64 y) (pow.f64 y 3)) (*.f64 y y))
(-.f64 (*.f64 (neg.f64 y) (fma.f64 y y y)) y)
(*.f64 y (-.f64 -1 (fma.f64 y y y)))
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (pow.f64 y 4)) (*.f64 -1 y))))
(fma.f64 -1 (*.f64 y y) (fma.f64 -1 (pow.f64 y 3) (*.f64 -1 (+.f64 (pow.f64 y 4) y))))
(-.f64 (-.f64 (-.f64 (neg.f64 y) (pow.f64 y 4)) (pow.f64 y 3)) (*.f64 y y))
(-.f64 (*.f64 (pow.f64 y 3) (-.f64 -1 y)) (fma.f64 y y y))
(*.f64 (-.f64 -1 y) (+.f64 y (pow.f64 y 3)))
(*.f64 (+.f64 y (pow.f64 y 3)) (-.f64 -1 y))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)))
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)))
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 9 computations (43.8% saved)

series8.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite82.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
748×pow1_binary64
697×add-log-exp_binary64
695×log1p-expm1-u_binary64
695×expm1-log1p-u_binary64
684×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11547
222267
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (neg.f64 x) (+.f64 -1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2) (cbrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 -1 y))) (sqrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 -1 y))) (/.f64 x (sqrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 y))) (/.f64 x (sqrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 -1 y))))))))

simplify50.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
753×associate-/l*_binary64
573×fma-def_binary64
421×distribute-lft-out_binary64
363×associate-*r/_binary64
314×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034313
1105300
2283285
3923267
43841261
Stop Event
1×node limit
Counts
62 → 55
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x))
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x)))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
Outputs
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(neg.f64 (/.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(neg.f64 (/.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(neg.f64 (/.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(neg.f64 (/.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(neg.f64 (/.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(neg.f64 (/.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(neg.f64 (/.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(neg.f64 (/.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(neg.f64 (/.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(neg.f64 (/.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(neg.f64 (/.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(neg.f64 (/.f64 x (+.f64 y -1)))
(/.f64 (neg.f64 x) (+.f64 -1 y))
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x))
(fma.f64 y x (fma.f64 (*.f64 y y) x x))
(*.f64 x (+.f64 y (fma.f64 y y 1)))
(+.f64 x (*.f64 y (fma.f64 x y x)))
(fma.f64 x (fma.f64 y y y) x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x)))
(fma.f64 y x (fma.f64 (*.f64 y y) x (fma.f64 (pow.f64 y 3) x x)))
(fma.f64 x y (fma.f64 x (*.f64 y y) (fma.f64 x (pow.f64 y 3) x)))
(fma.f64 x y (fma.f64 x (fma.f64 y y (pow.f64 y 3)) x))
(*.f64 (fma.f64 y y 1) (fma.f64 x y x))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) -1))
(*.f64 (/.f64 -1 y) (+.f64 x (/.f64 x y)))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) -1)) (/.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 -1 y) (+.f64 x (/.f64 x y))) (/.f64 x (pow.f64 y 3)))
(*.f64 (/.f64 x y) (+.f64 -1 (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(-.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 -1 y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 4))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 -1 (*.f64 y y))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (+.f64 -1 (/.f64 -1 y)))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) -1))
(*.f64 (/.f64 -1 y) (+.f64 x (/.f64 x y)))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) -1)) (/.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 -1 y) (+.f64 x (/.f64 x y))) (/.f64 x (pow.f64 y 3)))
(*.f64 (/.f64 x y) (+.f64 -1 (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(-.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 -1 y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 4))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 -1 (*.f64 y y))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (+.f64 -1 (/.f64 -1 y)))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series5.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite76.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
961×pow1_binary64
898×add-log-exp_binary64
898×log1p-expm1-u_binary64
898×expm1-log1p-u_binary64
83×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115817
2231417
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (-.f64 1 x) y))
(/.f64 (-.f64 1 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 y) (-.f64 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 1 x) y))) (/.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (-.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (/.f64 1 (+.f64 1 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (/.f64 1 (-.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) 1))) (+.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (+.f64 1 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (-.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (-.f64 1 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3))) (neg.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2))) (neg.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) 1) (-.f64 (/.f64 (-.f64 1 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 1 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) y)))))))

simplify47.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
236×fma-neg_binary64
200×fma-def_binary64
66×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
37×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015341
132287
247287
374287
4111287
5178287
6307287
7527287
8862287
91081287
101145287
111146287
Stop Event
1×saturated
Counts
103 → 78
Calls
Call 1
Inputs
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
Outputs
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.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 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.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 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 41 to 30 computations (26.8% saved)

series8.0ms (0.1%)

Counts
2 → 27
Calls

12 calls:

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

rewrite70.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
916×pow1_binary64
852×add-log-exp_binary64
851×log1p-expm1-u_binary64
851×expm1-log1p-u_binary64
109×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01022
121617
2324717
Stop Event
1×node limit
Counts
2 → 77
Calls
Call 1
Inputs
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 y) 1) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 x x)) y) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (+.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 y (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 2) (fma.f64 (neg.f64 y) (+.f64 1 x) x)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (neg.f64 y) (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x) 2) (/.f64 1 (fma.f64 (neg.f64 y) (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x)) (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x) 2)) (cbrt.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x)) (sqrt.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 2) (*.f64 x (fma.f64 (neg.f64 y) (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y (+.f64 1 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y (+.f64 1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 2) (*.f64 x (fma.f64 (neg.f64 y) (+.f64 1 x) x))) (+.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x) (pow.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x) 2) (fma.f64 (neg.f64 y) (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 2) (*.f64 x (fma.f64 (neg.f64 y) (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 2) (*.f64 x (*.f64 y (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 2) (*.f64 x (fma.f64 (neg.f64 y) (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x) 2)) (neg.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 1 x)) 2) (*.f64 x (fma.f64 (neg.f64 y) (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 1 x)) 2)) (fma.f64 (neg.f64 y) (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 1 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (neg.f64 y) (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 y (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (+.f64 1 x)) -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 1 x))) 2) (cbrt.f64 (*.f64 y (+.f64 1 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (+.f64 1 x))) (sqrt.f64 (*.f64 y (+.f64 1 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) (+.f64 1 x) x)))))

simplify39.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
280×fma-def_binary64
184×fma-neg_binary64
40×distribute-rgt-in_binary64
40×unsub-neg_binary64
28×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020224
158202
2143176
3304176
4695176
5963176
61043176
71045176
Stop Event
1×saturated
Counts
104 → 93
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
x
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 y)
(+.f64 (*.f64 (+.f64 1 y) x) (*.f64 -1 y))
(+.f64 (*.f64 (+.f64 1 y) x) (*.f64 -1 y))
(+.f64 (*.f64 (+.f64 1 y) x) (*.f64 -1 y))
(*.f64 (+.f64 1 y) x)
(+.f64 (*.f64 (+.f64 1 y) x) (*.f64 -1 y))
(+.f64 (*.f64 (+.f64 1 y) x) (*.f64 -1 y))
(+.f64 (*.f64 (+.f64 1 y) x) (*.f64 -1 y))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) (*.f64 -1 y))
Outputs
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 y x))
x
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 (neg.f64 y) (+.f64 1 (neg.f64 x)))
(neg.f64 (fma.f64 (neg.f64 y) x y))
(-.f64 (*.f64 y x) y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 (neg.f64 y) (+.f64 1 (neg.f64 x)))
(neg.f64 (fma.f64 (neg.f64 y) x y))
(-.f64 (*.f64 y x) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 (+.f64 1 y) x) (*.f64 -1 y))
(fma.f64 (+.f64 y 1) x (neg.f64 y))
(-.f64 (*.f64 x (+.f64 y 1)) y)
(-.f64 (fma.f64 y x x) y)
(+.f64 (*.f64 (+.f64 1 y) x) (*.f64 -1 y))
(fma.f64 (+.f64 y 1) x (neg.f64 y))
(-.f64 (*.f64 x (+.f64 y 1)) y)
(-.f64 (fma.f64 y x x) y)
(+.f64 (*.f64 (+.f64 1 y) x) (*.f64 -1 y))
(fma.f64 (+.f64 y 1) x (neg.f64 y))
(-.f64 (*.f64 x (+.f64 y 1)) y)
(-.f64 (fma.f64 y x x) y)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 y x x)
(+.f64 (*.f64 (+.f64 1 y) x) (*.f64 -1 y))
(fma.f64 (+.f64 y 1) x (neg.f64 y))
(-.f64 (*.f64 x (+.f64 y 1)) y)
(-.f64 (fma.f64 y x x) y)
(+.f64 (*.f64 (+.f64 1 y) x) (*.f64 -1 y))
(fma.f64 (+.f64 y 1) x (neg.f64 y))
(-.f64 (*.f64 x (+.f64 y 1)) y)
(-.f64 (fma.f64 y x x) y)
(+.f64 (*.f64 (+.f64 1 y) x) (*.f64 -1 y))
(fma.f64 (+.f64 y 1) x (neg.f64 y))
(-.f64 (*.f64 x (+.f64 y 1)) y)
(-.f64 (fma.f64 y x x) y)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 y 1))
(fma.f64 y x x)
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) (*.f64 -1 y))
(fma.f64 (+.f64 y 1) x (neg.f64 y))
(-.f64 (*.f64 x (+.f64 y 1)) y)
(-.f64 (fma.f64 y x x) y)
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) (*.f64 -1 y))
(fma.f64 (+.f64 y 1) x (neg.f64 y))
(-.f64 (*.f64 x (+.f64 y 1)) y)
(-.f64 (fma.f64 y x x) y)
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) (*.f64 -1 y))
(fma.f64 (+.f64 y 1) x (neg.f64 y))
(-.f64 (*.f64 x (+.f64 y 1)) y)
(-.f64 (fma.f64 y x x) y)

eval112.0ms (1.9%)

Compiler

Compiled 5064 to 3293 computations (35% saved)

prune69.0ms (1.2%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New4017408
Fresh224
Picked101
Done145
Total40513418
Error
0b
Counts
418 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
33.6b
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x)))
40.5b
x
▶31.7b
(*.f64 x (/.f64 1 (+.f64 1 (neg.f64 y))))
▶32.3b
(+.f64 (*.f64 -1 y) x)
✓31.8b
(+.f64 1 (/.f64 (-.f64 1 x) y))
▶40.9b
(+.f64 (*.f64 y x) x)
✓31.7b
(/.f64 (neg.f64 x) (+.f64 -1 y))
▶54.2b
(neg.f64 y)
✓31.7b
(/.f64 y (-.f64 y 1))
▶54.3b
(/.f64 (neg.f64 x) y)
39.8b
1
✓0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
32.7b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) y)))
Compiler

Compiled 175 to 119 computations (32% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 1 (neg.f64 y)))
✓0.1b
(*.f64 x (/.f64 1 (+.f64 1 (neg.f64 y))))
Compiler

Compiled 25 to 15 computations (40% saved)

series4.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite67.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
117214
2232314
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 x (/.f64 1 (+.f64 1 (neg.f64 y))))
(/.f64 1 (+.f64 1 (neg.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (+.f64 1 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 y))) (hypot.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (cbrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 (+.f64 y -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (+.f64 y -1)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 y -1))) (cbrt.f64 (pow.f64 (+.f64 1 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 y) -2)) (/.f64 -1 (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 y) -1/2) (pow.f64 (+.f64 1 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 y)) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 y)))))))

simplify64.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
760×fma-def_binary64
560×sub-neg_binary64
365×unsub-neg_binary64
310×fma-neg_binary64
258×associate-+l-_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051472
1147442
2430426
31409408
45560408
Stop Event
1×node limit
Counts
82 → 75
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x))
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x)))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
1
(+.f64 1 y)
(+.f64 1 (+.f64 y (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 1 (+.f64 y (pow.f64 y 2))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))))
Outputs
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x))
(fma.f64 y x (fma.f64 (*.f64 y y) x x))
(+.f64 x (*.f64 x (fma.f64 y y y)))
(fma.f64 x (fma.f64 y y y) x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x)))
(fma.f64 y x (fma.f64 (*.f64 y y) x (fma.f64 (pow.f64 y 3) x x)))
(+.f64 (fma.f64 x (pow.f64 y 3) x) (*.f64 x (fma.f64 y y y)))
(fma.f64 x (*.f64 y (fma.f64 y y y)) (fma.f64 x y x))
(*.f64 (fma.f64 y y 1) (fma.f64 x y x))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 (/.f64 -1 y) y)))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 (/.f64 -1 y) y)))
1
(+.f64 1 y)
(+.f64 1 (+.f64 y (pow.f64 y 2)))
(+.f64 1 (+.f64 y (*.f64 y y)))
(+.f64 1 (fma.f64 y y y))
(+.f64 (pow.f64 y 3) (+.f64 1 (+.f64 y (pow.f64 y 2))))
(+.f64 (pow.f64 y 3) (+.f64 1 (+.f64 y (*.f64 y y))))
(+.f64 1 (+.f64 (fma.f64 y y y) (pow.f64 y 3)))
(+.f64 y (+.f64 1 (*.f64 y (fma.f64 y y y))))
(+.f64 y (fma.f64 y (fma.f64 y y y) 1))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y)))
(-.f64 (/.f64 -1 y) (/.f64 (/.f64 1 y) y))
(+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 -1 y) (/.f64 (/.f64 1 y) y)) (/.f64 -1 (pow.f64 y 3)))
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y)) (/.f64 -1 (pow.f64 y 3)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (-.f64 (/.f64 -1 y) (/.f64 (/.f64 1 y) y)) (+.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 -1 (pow.f64 y 4))))
(+.f64 (/.f64 -1 y) (+.f64 (/.f64 -1 (pow.f64 y 3)) (-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 1 (pow.f64 y 4)))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y)))
(-.f64 (/.f64 -1 y) (/.f64 (/.f64 1 y) y))
(+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 -1 y) (/.f64 (/.f64 1 y) y)) (/.f64 -1 (pow.f64 y 3)))
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y)) (/.f64 -1 (pow.f64 y 3)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (-.f64 (/.f64 -1 y) (/.f64 (/.f64 1 y) y)) (+.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 -1 (pow.f64 y 4))))
(+.f64 (/.f64 -1 y) (+.f64 (/.f64 -1 (pow.f64 y 3)) (-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 1 (pow.f64 y 4)))))

localize3.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize6.0ms (0.1%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize6.0ms (0.1%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 y x) x)
Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 15
Calls

6 calls:

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

rewrite56.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
633×pow1_binary64
590×add-log-exp_binary64
589×log1p-expm1-u_binary64
589×expm1-log1p-u_binary64
577×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11125
216105
Stop Event
1×node limit
Counts
1 → 40
Calls
Call 1
Inputs
(+.f64 (*.f64 y x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (cbrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) 2)) (-.f64 x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)))))

simplify17.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
66×fma-def_binary64
53×fma-neg_binary64
20×unsub-neg_binary64
16×distribute-lft-in_binary64
16×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01293
12793
25869
313969
423669
533469
639469
Stop Event
1×saturated
Counts
55 → 45
Calls
Call 1
Inputs
x
(*.f64 y x)
(*.f64 y x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
Outputs
x
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)

eval27.0ms (0.5%)

Compiler

Compiled 1239 to 706 computations (43% saved)

prune23.0ms (0.4%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New1173120
Fresh134
Picked011
Done268
Total12013133
Error
0b
Counts
133 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓54.3b
(/.f64 (neg.f64 x) y)
▶31.7b
(/.f64 x (-.f64 1 y))
✓31.7b
(*.f64 x (/.f64 1 (+.f64 1 (neg.f64 y))))
✓32.3b
(+.f64 (*.f64 -1 y) x)
✓54.2b
(neg.f64 y)
✓31.7b
(/.f64 y (-.f64 y 1))
▶33.6b
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x)))
40.5b
x
39.8b
1
✓0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
✓40.9b
(+.f64 (*.f64 y x) x)
▶32.7b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) y)))
▶54.4b
(*.f64 x (/.f64 -1 y))
Compiler

Compiled 104 to 71 computations (31.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite54.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
576×pow1_binary64
528×add-log-exp_binary64
528×log1p-expm1-u_binary64
528×expm1-log1p-u_binary64
517×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11216
214506
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 x (/.f64 -1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x -1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (neg.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (neg.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (neg.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (neg.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (neg.f64 y))))))))

simplify16.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
14×fma-def_binary64
8×sub-neg_binary64
4×+-commutative_binary64
4×fma-neg_binary64
3×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06144
110144
217144
323144
429144
537144
645144
755144
863144
977144
Stop Event
1×saturated
Counts
43 → 21
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
Outputs
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 59 to 31 computations (47.5% saved)

series9.0ms (0.2%)

Counts
3 → 48
Calls

12 calls:

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

rewrite97.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
566×log-prod_binary64
530×fma-def_binary64
433×pow-prod-down_binary64
314×pow2_binary64
216×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142
124042
2333442
Stop Event
1×node limit
Counts
3 → 197
Calls
Call 1
Inputs
(*.f64 (*.f64 y y) (-.f64 -1 y))
(*.f64 (-.f64 1 x) (-.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) y))
(-.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) y)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (-.f64 -1 y)) y (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (-.f64 -1 y)) y (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 y)) 2) (cbrt.f64 (neg.f64 y)) (*.f64 y (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 y (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y (sqrt.f64 (-.f64 -1 y)) (sqrt.f64 y)) (fma.f64 y (sqrt.f64 (-.f64 -1 y)) (neg.f64 (sqrt.f64 y))) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y (sqrt.f64 (-.f64 -1 y)) (sqrt.f64 y)) (fma.f64 y (sqrt.f64 (-.f64 -1 y)) (neg.f64 (sqrt.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y (sqrt.f64 (-.f64 -1 y)) (sqrt.f64 y)) (fma.f64 y (sqrt.f64 (-.f64 -1 y)) (neg.f64 (sqrt.f64 y))) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (cbrt.f64 (-.f64 -1 y))) 2) (cbrt.f64 (-.f64 -1 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (cbrt.f64 (-.f64 -1 y))) 2) (cbrt.f64 (-.f64 -1 y)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (-.f64 -1 y))) (sqrt.f64 (-.f64 -1 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (-.f64 -1 y))) (sqrt.f64 (-.f64 -1 y)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 -1 y) (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) 2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 -1 y) (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (neg.f64 y) 1))))))

simplify91.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
596×sub-neg_binary64
343×neg-sub0_binary64
331×distribute-neg-in_binary64
325×associate-+l+_binary64
305×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035976
1125820
2418584
31891542
45644542
57477542
Stop Event
1×node limit
Counts
245 → 223
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))
(*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))
(*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))
(*.f64 -1 y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(*.f64 -1 (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(*.f64 -1 (pow.f64 y 3))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
Outputs
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (+.f64 (*.f64 y y) (pow.f64 y 3)))
(neg.f64 (*.f64 y (fma.f64 y y y)))
(*.f64 y (neg.f64 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (+.f64 (*.f64 y y) (pow.f64 y 3)))
(neg.f64 (*.f64 y (fma.f64 y y y)))
(*.f64 y (neg.f64 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (+.f64 (*.f64 y y) (pow.f64 y 3)))
(neg.f64 (*.f64 y (fma.f64 y y y)))
(*.f64 y (neg.f64 (fma.f64 y y y)))
(*.f64 -1 (pow.f64 y 3))
(neg.f64 (pow.f64 y 3))
(pow.f64 (neg.f64 y) 3)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (+.f64 (*.f64 y y) (pow.f64 y 3)))
(neg.f64 (*.f64 y (fma.f64 y y y)))
(*.f64 y (neg.f64 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (+.f64 (*.f64 y y) (pow.f64 y 3)))
(neg.f64 (*.f64 y (fma.f64 y y y)))
(*.f64 y (neg.f64 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (+.f64 (*.f64 y y) (pow.f64 y 3)))
(neg.f64 (*.f64 y (fma.f64 y y y)))
(*.f64 y (neg.f64 (fma.f64 y y y)))
(*.f64 -1 (pow.f64 y 3))
(neg.f64 (pow.f64 y 3))
(pow.f64 (neg.f64 y) 3)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (+.f64 (*.f64 y y) (pow.f64 y 3)))
(neg.f64 (*.f64 y (fma.f64 y y y)))
(*.f64 y (neg.f64 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (+.f64 (*.f64 y y) (pow.f64 y 3)))
(neg.f64 (*.f64 y (fma.f64 y y y)))
(*.f64 y (neg.f64 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (+.f64 (*.f64 y y) (pow.f64 y 3)))
(neg.f64 (*.f64 y (fma.f64 y y y)))
(*.f64 y (neg.f64 (fma.f64 y y y)))
(-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y)
(-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y)
(-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y)
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
(*.f64 y (-.f64 -1 (fma.f64 y y y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))
(neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))
(*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) (neg.f64 x))
(*.f64 x (fma.f64 y (fma.f64 y y y) y))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))
(neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))
(*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) (neg.f64 x))
(*.f64 x (fma.f64 y (fma.f64 y y y) y))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 y))) y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 (neg.f64 y) (-.f64 1 x))
(*.f64 (-.f64 1 x) (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 y x))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 y (-.f64 1 x))))
(*.f64 -1 (+.f64 (*.f64 (*.f64 y y) (-.f64 1 x)) (*.f64 y (-.f64 1 x))))
(*.f64 (-.f64 1 x) (neg.f64 (fma.f64 y y y)))
(*.f64 (fma.f64 y y y) (+.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))
(*.f64 (neg.f64 (pow.f64 y 3)) (-.f64 1 x))
(*.f64 (pow.f64 y 3) (neg.f64 (-.f64 1 x)))
(*.f64 (pow.f64 y 3) (+.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x))))
(fma.f64 -1 (*.f64 (*.f64 y y) (-.f64 1 x)) (*.f64 (neg.f64 (pow.f64 y 3)) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (neg.f64 (*.f64 y (fma.f64 y y y))))
(neg.f64 (*.f64 y (*.f64 (-.f64 1 x) (fma.f64 y y y))))
(*.f64 (*.f64 y (+.f64 -1 x)) (fma.f64 y y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))
(*.f64 (neg.f64 (pow.f64 y 3)) (-.f64 1 x))
(*.f64 (pow.f64 y 3) (neg.f64 (-.f64 1 x)))
(*.f64 (pow.f64 y 3) (+.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x))))
(fma.f64 -1 (*.f64 (*.f64 y y) (-.f64 1 x)) (*.f64 (neg.f64 (pow.f64 y 3)) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (neg.f64 (*.f64 y (fma.f64 y y y))))
(neg.f64 (*.f64 y (*.f64 (-.f64 1 x) (fma.f64 y y y))))
(*.f64 (*.f64 y (+.f64 -1 x)) (fma.f64 y y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 y 1)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y) x))) y)
(-.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) (*.f64 (-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y) x)) y)
(neg.f64 (*.f64 (-.f64 1 x) (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(fma.f64 -1 (*.f64 y y) (neg.f64 y))
(neg.f64 (fma.f64 y y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y)
(-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y)
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
(*.f64 y (-.f64 -1 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y)
(-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y)
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
(*.f64 y (-.f64 -1 (fma.f64 y y y)))
(*.f64 -1 (pow.f64 y 3))
(neg.f64 (pow.f64 y 3))
(pow.f64 (neg.f64 y) 3)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (+.f64 (*.f64 y y) (pow.f64 y 3)))
(neg.f64 (*.f64 y (fma.f64 y y y)))
(*.f64 y (neg.f64 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y)
(-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y)
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
(*.f64 y (-.f64 -1 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y)
(-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y)
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
(*.f64 y (-.f64 -1 (fma.f64 y y y)))
(*.f64 -1 (pow.f64 y 3))
(neg.f64 (pow.f64 y 3))
(pow.f64 (neg.f64 y) 3)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (+.f64 (*.f64 y y) (pow.f64 y 3)))
(neg.f64 (*.f64 y (fma.f64 y y y)))
(*.f64 y (neg.f64 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y)
(-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y)
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
(*.f64 y (-.f64 -1 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y 1)) y)
(-.f64 (neg.f64 (*.f64 y (fma.f64 y y y))) y)
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
(*.f64 y (-.f64 -1 (fma.f64 y y y)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite62.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
217187
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (-.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2) (cbrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) (sqrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 x (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 y))))))))

simplify46.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
736×associate-/l*_binary64
561×fma-def_binary64
421×distribute-lft-out_binary64
359×associate-*r/_binary64
307×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030205
195192
2270177
3897159
43766153
Stop Event
1×node limit
Counts
45 → 48
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x))
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x)))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
Outputs
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x))
(fma.f64 y x (fma.f64 (*.f64 y y) x x))
(*.f64 x (+.f64 y (fma.f64 y y 1)))
(fma.f64 x (+.f64 y (*.f64 y y)) x)
(fma.f64 x (fma.f64 y y y) x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x)))
(fma.f64 y x (fma.f64 (*.f64 y y) x (fma.f64 (pow.f64 y 3) x x)))
(fma.f64 x y (fma.f64 x (*.f64 y y) (fma.f64 x (pow.f64 y 3) x)))
(fma.f64 x (fma.f64 y y (pow.f64 y 3)) (fma.f64 x y x))
(*.f64 (fma.f64 y y 1) (fma.f64 x y x))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 -1 y))) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 -1 (*.f64 y y))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (+.f64 -1 (/.f64 -1 y)))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 -1 y))) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 -1 (*.f64 y y))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (+.f64 -1 (/.f64 -1 y)))

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 y -1) (+.f64 y x))
✓4.8b
(-.f64 (*.f64 y y) (*.f64 x x))
✓32.3b
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x)))
Compiler

Compiled 46 to 16 computations (65.2% saved)

series9.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite120.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
741×log-prod_binary64
740×fma-def_binary64
372×fma-neg_binary64
239×log-div_binary64
237×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01142
126730
2445030
Stop Event
1×node limit
Counts
3 → 316
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x)))
(-.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (+.f64 y -1) (+.f64 y x))
Outputs
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#<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (+.f64 y -1)) (*.f64 y (+.f64 y -1))) (*.f64 (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)))) (-.f64 (*.f64 y (+.f64 y -1)) (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 y 3)) (+.f64 y x)) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) (+.f64 y x)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y -1)) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 y -1)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y -1) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y -1) (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y -1) (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y -1) (+.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) (+.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y -1) (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y -1) (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y -1) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 y -1))) (exp.f64 (*.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y -1) (+.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y -1) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y -1) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y -1) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y -1) (+.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 y -1) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 y x) (*.f64 -1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 y -1) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 y x) (*.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y -1) y (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y x) -1 (*.f64 (+.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 y -1)) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (*.f64 (cbrt.f64 (+.f64 y -1)) x) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (*.f64 (cbrt.f64 (+.f64 y -1)) y) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 y -1)) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y -1)) (*.f64 (sqrt.f64 (+.f64 y -1)) x) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y -1)) (*.f64 (sqrt.f64 (+.f64 y -1)) y) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y -1)) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (+.f64 y -1)) 1 (*.f64 (*.f64 x (+.f64 y -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) (cbrt.f64 (*.f64 x (+.f64 y -1)))) (cbrt.f64 (*.f64 x (+.f64 y -1))) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 y -1))) (cbrt.f64 (*.f64 y (+.f64 y -1)))) (cbrt.f64 (*.f64 y (+.f64 y -1))) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 x (+.f64 y -1))) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 y (sqrt.f64 (*.f64 y -1))) (hypot.f64 y (sqrt.f64 (*.f64 y -1))) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y -1))) (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y -1))) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 x)) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y -1))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y -1))) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 y)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y -1) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (+.f64 y -1)))))))

simplify75.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
555×sub-neg_binary64
434×div-sub_binary64
369×fma-def_binary64
331×unsub-neg_binary64
227×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0951163
13031047
21108946
35473856
Stop Event
1×node limit
Counts
388 → 359
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y (-.f64 x 1)) x)
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) x))))) x))
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) x))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) x)) (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) x))))) x))))) x)))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 (-.f64 x 1) (-.f64 1 x)))) (-.f64 x 1)) (*.f64 -1 (*.f64 x (-.f64 1 x)))) (pow.f64 y 3)))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (pow.f64 y 2)))))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (-.f64 1 x))) x)) (pow.f64 y 2))))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 x (-.f64 1 x))) (*.f64 -1 (*.f64 (-.f64 x 1) (-.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (-.f64 1 x))) x))))) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (-.f64 1 x))) x)) (pow.f64 y 2)))))) (/.f64 x y))
(/.f64 y (-.f64 y 1))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(pow.f64 y 2)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(pow.f64 y 2)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(pow.f64 y 2)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(*.f64 -1 x)
(+.f64 (*.f64 y (-.f64 x 1)) (*.f64 -1 x))
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (pow.f64 y 2) (*.f64 -1 x)))
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (pow.f64 y 2) (*.f64 -1 x)))
(pow.f64 y 2)
(+.f64 (*.f64 y (-.f64 x 1)) (pow.f64 y 2))
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 -1 x) (pow.f64 y 2)))
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 -1 x) (pow.f64 y 2)))
(pow.f64 y 2)
(+.f64 (*.f64 y (-.f64 x 1)) (pow.f64 y 2))
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 -1 x) (pow.f64 y 2)))
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 -1 x) (pow.f64 y 2)))
(*.f64 y (-.f64 y 1))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
Outputs
x
(+.f64 (*.f64 y (-.f64 x 1)) x)
(fma.f64 y (+.f64 x -1) x)
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) x))))) x))
(fma.f64 y (+.f64 x -1) (fma.f64 (*.f64 y y) (-.f64 (-.f64 1 (/.f64 1 x)) (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x))) x))
(fma.f64 y (+.f64 x -1) (fma.f64 (*.f64 y y) (-.f64 1 (-.f64 (/.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) x))) x))
(fma.f64 y (+.f64 x -1) (fma.f64 y (*.f64 y (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x) (/.f64 -1 x)))) x))
(fma.f64 y (+.f64 x -1) (fma.f64 y (+.f64 y (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x) (/.f64 -1 x)) y)) x))
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) x))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) x)) (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) x))))) x))))) x)))
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(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1)))
(*.f64 (+.f64 y -1) (+.f64 y x))
(*.f64 (+.f64 y -1) (+.f64 x y))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1)))
(*.f64 (+.f64 y -1) (+.f64 y x))
(*.f64 (+.f64 y -1) (+.f64 x y))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1)))
(*.f64 (+.f64 y -1) (+.f64 y x))
(*.f64 (+.f64 y -1) (+.f64 x y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1)))
(*.f64 (+.f64 y -1) (+.f64 y x))
(*.f64 (+.f64 y -1) (+.f64 x y))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1)))
(*.f64 (+.f64 y -1) (+.f64 y x))
(*.f64 (+.f64 y -1) (+.f64 x y))
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1)))
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1)))
(*.f64 (+.f64 y -1) (+.f64 y x))
(*.f64 (+.f64 y -1) (+.f64 x y))

eval224.0ms (3.9%)

Compiler

Compiled 14537 to 6794 computations (53.3% saved)

prune99.0ms (1.7%)

Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New6483651
Fresh022
Picked101
Done2810
Total65113664
Error
0b
Counts
664 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓54.3b
(/.f64 (neg.f64 x) y)
✓31.7b
(/.f64 x (-.f64 1 y))
✓0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
32.6b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 y (neg.f64 y)) y)))
✓54.2b
(neg.f64 y)
✓31.7b
(/.f64 y (-.f64 y 1))
40.5b
x
39.8b
1
✓32.3b
(+.f64 (*.f64 -1 y) x)
✓40.9b
(+.f64 (*.f64 y x) x)
49.0b
(/.f64 (*.f64 y y) (*.f64 (+.f64 y -1) (+.f64 y x)))
✓54.4b
(*.f64 x (/.f64 -1 y))
31.7b
(*.f64 (/.f64 1 (-.f64 1 y)) x)
Compiler

Compiled 96 to 66 computations (31.3% saved)

regimes57.0ms (1%)

Counts
24 → 1
Calls
Call 1
Inputs
x
1
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
(/.f64 x (-.f64 1 y))
(*.f64 x (/.f64 -1 y))
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 y x) x)
(/.f64 y (-.f64 y 1))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(*.f64 (/.f64 1 (-.f64 1 y)) x)
(+.f64 1 (/.f64 (-.f64 1 x) y))
(/.f64 (-.f64 y x) (+.f64 y -1))
(/.f64 (-.f64 x y) (-.f64 1 y))
(*.f64 x (/.f64 1 (+.f64 1 (neg.f64 y))))
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x))
(/.f64 (*.f64 y y) (*.f64 (+.f64 y -1) (+.f64 y x)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 y (neg.f64 y)) y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x)))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) y)))
(*.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) (+.f64 y 1))
Outputs
(/.f64 (-.f64 y x) (+.f64 y -1))
Calls

4 calls:

15.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
12.0ms
x
12.0ms
y
10.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b1(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 188 to 108 computations (42.6% saved)

regimes279.0ms (4.8%)

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

2 calls:

213.0ms
x
63.0ms
y
Results
ErrorSegmentsBranch
12.8b7x
1.7b3y
Compiler

Compiled 63 to 38 computations (39.7% saved)

bsearch33.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
8.938649666545078e-7
15448.728343466662
16.0ms
-5.127976385306195
-0.873288601492593
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes83.0ms (1.4%)

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

2 calls:

50.0ms
x
30.0ms
y
Results
ErrorSegmentsBranch
13.7b7x
8.7b4y
Compiler

Compiled 56 to 33 computations (41.1% saved)

bsearch56.0ms (1%)

Algorithm
3×binary-search
Steps
TimeLeftRight
15.0ms
8.938649666545078e-7
15448.728343466662
16.0ms
-3.206908119064333e-15
-1.3577901543151555e-23
24.0ms
-12331705766.571299
-129802015.53834228
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes209.0ms (3.6%)

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

2 calls:

160.0ms
x
47.0ms
y
Results
ErrorSegmentsBranch
18.7b7x
8.9b4y
Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch48.0ms (0.8%)

Algorithm
3×binary-search
Steps
TimeLeftRight
15.0ms
8.938649666545078e-7
15448.728343466662
17.0ms
-3.206908119064333e-15
-1.3577901543151555e-23
16.0ms
-12331705766.571299
-129802015.53834228
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes92.0ms (1.6%)

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

2 calls:

42.0ms
x
25.0ms
y
Results
ErrorSegmentsBranch
20.7b8x
16.9b3y
Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch31.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
15448.728343466662
90019717672.60208
15.0ms
-12331705766.571299
-129802015.53834228
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes206.0ms (3.6%)

Accuracy

Total -44.2b remaining (-237.4%)

Threshold costs -44.2b (-237.4%)

Counts
6 → 3
Calls
Call 1
Inputs
x
1
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
Outputs
1
x
1
Calls

2 calls:

154.0ms
y
50.0ms
x
Results
ErrorSegmentsBranch
26.1b11x
18.6b3y
Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch45.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
30.0ms
8.938649666545078e-7
15448.728343466662
15.0ms
-12331705766.571299
-129802015.53834228
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
6×sub-neg_binary64
2×*-commutative_binary64
2×neg-sub0_binary64
1×mul-1-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040163
154157
261157
364157
466157
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) (+.f64 y -1))
(if (<=.f64 y -5773588134507421/1125899906842624) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8442315917481281/9444732965739290427392) (+.f64 (*.f64 -1 y) x) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -6465365352944133/524288) (/.f64 y (-.f64 y 1)) (if (<=.f64 y -1016309750502171/316912650057057350374175801344) (/.f64 x (-.f64 1 y)) (if (<=.f64 y 8442315917481281/9444732965739290427392) (+.f64 (*.f64 -1 y) x) (/.f64 y (-.f64 y 1)))))
(if (<=.f64 y -6465365352944133/524288) 1 (if (<=.f64 y -1016309750502171/316912650057057350374175801344) (/.f64 x (-.f64 1 y)) (if (<=.f64 y 8442315917481281/9444732965739290427392) (+.f64 (*.f64 -1 y) x) 1)))
(if (<=.f64 y -6465365352944133/524288) 1 (if (<=.f64 y 8493028223997129/549755813888) (/.f64 x (-.f64 1 y)) 1))
(if (<=.f64 y -6465365352944133/524288) 1 (if (<=.f64 y 8442315917481281/9444732965739290427392) x 1))
x
Outputs
(/.f64 (-.f64 y x) (+.f64 y -1))
(if (<=.f64 y -5773588134507421/1125899906842624) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8442315917481281/9444732965739290427392) (+.f64 (*.f64 -1 y) x) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -5773588134507421/1125899906842624) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8442315917481281/9444732965739290427392) (+.f64 x (neg.f64 y)) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -5773588134507421/1125899906842624) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8442315917481281/9444732965739290427392) (-.f64 x y) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -6465365352944133/524288) (/.f64 y (-.f64 y 1)) (if (<=.f64 y -1016309750502171/316912650057057350374175801344) (/.f64 x (-.f64 1 y)) (if (<=.f64 y 8442315917481281/9444732965739290427392) (+.f64 (*.f64 -1 y) x) (/.f64 y (-.f64 y 1)))))
(if (<=.f64 y -6465365352944133/524288) (/.f64 y (+.f64 y -1)) (if (<=.f64 y -1016309750502171/316912650057057350374175801344) (/.f64 x (-.f64 1 y)) (if (<=.f64 y 8442315917481281/9444732965739290427392) (+.f64 x (neg.f64 y)) (/.f64 y (+.f64 y -1)))))
(if (<=.f64 y -6465365352944133/524288) (/.f64 y (+.f64 y -1)) (if (<=.f64 y -1016309750502171/316912650057057350374175801344) (/.f64 x (-.f64 1 y)) (if (<=.f64 y 8442315917481281/9444732965739290427392) (-.f64 x y) (/.f64 y (+.f64 y -1)))))
(if (<=.f64 y -6465365352944133/524288) 1 (if (<=.f64 y -1016309750502171/316912650057057350374175801344) (/.f64 x (-.f64 1 y)) (if (<=.f64 y 8442315917481281/9444732965739290427392) (+.f64 (*.f64 -1 y) x) 1)))
(if (<=.f64 y -6465365352944133/524288) 1 (if (<=.f64 y -1016309750502171/316912650057057350374175801344) (/.f64 x (-.f64 1 y)) (if (<=.f64 y 8442315917481281/9444732965739290427392) (+.f64 x (neg.f64 y)) 1)))
(if (<=.f64 y -6465365352944133/524288) 1 (if (<=.f64 y -1016309750502171/316912650057057350374175801344) (/.f64 x (-.f64 1 y)) (if (<=.f64 y 8442315917481281/9444732965739290427392) (-.f64 x y) 1)))
(if (<=.f64 y -6465365352944133/524288) 1 (if (<=.f64 y 8493028223997129/549755813888) (/.f64 x (-.f64 1 y)) 1))
(if (<=.f64 y -6465365352944133/524288) 1 (if (<=.f64 y 8442315917481281/9444732965739290427392) x 1))
x
Compiler

Compiled 125 to 88 computations (29.6% saved)

soundness210.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
538×fma-neg_binary64
369×fma-def_binary64
322×div-sub_binary64
270×times-frac_binary64
138×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11510
22210
33710
47010
512010
622710
744610
8107710
9241810
10306110
11334410
12335410
13335410
Stop Event
1×saturated
Compiler

Compiled 199 to 145 computations (27.1% saved)

end109.0ms (1.9%)

Compiler

Compiled 113 to 74 computations (34.5% saved)

Profiling

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