Details

Time bar (total: 5.3s)

analyze65.0ms (1.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
18.8%18.7%81.2%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
54.7%54.6%45.3%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.2%76.1%23.8%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.8%87.7%12.2%0.1%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample1.1s (20.4%)

Results
1.1s8252×body256valid
1.0ms4×body1024valid
Bogosity

preprocess168.0ms (3.2%)

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)

simplify76.0ms (1.4%)

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)

prune1.0ms (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)

localize6.0ms (0.1%)

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)

series4.0ms (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))

rewrite116.0ms (2.2%)

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

simplify62.0ms (1.2%)

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)))

eval185.0ms (3.5%)

Compiler

Compiled 11380 to 7813 computations (31.3% saved)

prune48.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2748282
Fresh000
Picked011
Done000
Total2749283
Error
0b
Counts
283 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.0b
(/.f64 (neg.f64 x) (+.f64 -1 y))
39.6b
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)))
▶0.1b
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x))
▶33.0b
(/.f64 y (-.f64 y 1))
39.1b
x
14.9b
(*.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) (+.f64 y 1))
▶31.0b
(+.f64 1 (/.f64 (-.f64 1 x) y))
Compiler

Compiled 147 to 103 computations (29.9% saved)

localize11.0ms (0.2%)

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)

series3.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite70.0ms (1.3%)

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))))))

simplify57.0ms (1.1%)

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)))))

localize5.0ms (0.1%)

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)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite47.0ms (0.9%)

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))))))))

simplify56.0ms (1.1%)

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)))))

localize7.0ms (0.1%)

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)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite55.0ms (1%)

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))))))))

simplify46.0ms (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)))

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series5.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite62.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
217977
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) y)
Outputs
((#(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 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.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 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.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 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))

simplify32.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
202×fma-def_binary64
125×fma-neg_binary64
44×cancel-sign-sub-inv_binary64
31×distribute-rgt-in_binary64
26×unsub-neg_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
09124
116106
225106
335106
448106
574106
6130106
7253106
849479
973279
1082979
1189579
Stop Event
1×saturated
Counts
45 → 38
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)

localize33.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓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)

series10.0ms (0.2%)

Counts
2 → 36
Calls

9 calls:

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

rewrite73.0ms (1.4%)

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
01129
124029
2333429
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(*.f64 (*.f64 y y) (-.f64 -1 y))
(*.f64 (-.f64 1 x) (-.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 y y)) (*.f64 (neg.f64 y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y y) -1) (*.f64 (*.f64 y y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (-.f64 -1 y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (-.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (-.f64 -1 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (-.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y (-.f64 -1 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 y 3)) (*.f64 y y)) (fma.f64 y (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) (*.f64 y y)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y y) (-.f64 -1 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y y) (-.f64 1 (*.f64 y y))) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y (-.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y (-.f64 -1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y (-.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y (-.f64 -1 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) -1 (*.f64 (*.f64 y y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 y y) (*.f64 (neg.f64 y) (*.f64 y y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)) (*.f64 (neg.f64 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)) (*.f64 (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (*.f64 y (-.f64 -1 y))) (-.f64 1 x)) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (*.f64 y (*.f64 y (-.f64 -1 y)))) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 6) (pow.f64 y 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (fma.f64 y (fma.f64 y (*.f64 y (-.f64 -1 y)) y) (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 6) (pow.f64 y 3))) (*.f64 (+.f64 1 x) (fma.f64 y (fma.f64 y (*.f64 y (-.f64 -1 y)) y) (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4) (*.f64 y y))) (*.f64 (+.f64 1 (fma.f64 x x x)) (fma.f64 y (*.f64 y (-.f64 -1 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4) (*.f64 y y))) (*.f64 (+.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 6) (pow.f64 y 3)) (-.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 y (fma.f64 y (*.f64 y (-.f64 -1 y)) y) (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4)) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4) (*.f64 y y)) (-.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 y (*.f64 y (-.f64 -1 y)) y) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 6) (pow.f64 y 3)) (-.f64 1 (*.f64 x x))) (*.f64 (fma.f64 y (fma.f64 y (*.f64 y (-.f64 -1 y)) y) (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4) (*.f64 y y)) (-.f64 1 (*.f64 x x))) (*.f64 (fma.f64 y (*.f64 y (-.f64 -1 y)) y) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 6) (pow.f64 y 3)) (-.f64 1 x)) (fma.f64 y (fma.f64 y (*.f64 y (-.f64 -1 y)) y) (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4) (*.f64 y y)) (-.f64 1 x)) (fma.f64 y (*.f64 y (-.f64 -1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 6) (pow.f64 y 3))) (fma.f64 y (fma.f64 y (*.f64 y (-.f64 -1 y)) y) (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (-.f64 -1 y))) 4) (*.f64 y y))) (fma.f64 y (*.f64 y (-.f64 -1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y (*.f64 y (-.f64 -1 y)) (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 (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (*.f64 y (-.f64 -1 y))) (-.f64 1 x) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)) (*.f64 (neg.f64 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)) (*.f64 (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) (*.f64 y (*.f64 y (-.f64 -1 y))) (*.f64 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-1 y)) (neg.f64 (sqrt.f64 y))) (*.f64 (neg.f64 x) (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 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 (fma.f64 y (*.f64 y (-.f64 -1 y)) (neg.f64 y)) (neg.f64 x)))))))

simplify76.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
674×sub-neg_binary64
495×distribute-rgt-out--_binary64
329×neg-sub0_binary64
268×distribute-rgt-neg-in_binary64
265×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031835
1107702
2371476
31727434
44828434
57137434
Stop Event
1×node limit
Counts
116 → 101
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)))))
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 (fma.f64 y y (pow.f64 y 3)))
(*.f64 (*.f64 y y) (-.f64 -1 y))
(*.f64 y (*.f64 y (-.f64 -1 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 (fma.f64 y y (pow.f64 y 3)))
(*.f64 (*.f64 y y) (-.f64 -1 y))
(*.f64 y (*.f64 y (-.f64 -1 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 (fma.f64 y y (pow.f64 y 3)))
(*.f64 (*.f64 y y) (-.f64 -1 y))
(*.f64 y (*.f64 y (-.f64 -1 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 (fma.f64 y y (pow.f64 y 3)))
(*.f64 (*.f64 y y) (-.f64 -1 y))
(*.f64 y (*.f64 y (-.f64 -1 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 (fma.f64 y y (pow.f64 y 3)))
(*.f64 (*.f64 y y) (-.f64 -1 y))
(*.f64 y (*.f64 y (-.f64 -1 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 (fma.f64 y y (pow.f64 y 3)))
(*.f64 (*.f64 y y) (-.f64 -1 y))
(*.f64 y (*.f64 y (-.f64 -1 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 (fma.f64 y y (pow.f64 y 3)))
(*.f64 (*.f64 y y) (-.f64 -1 y))
(*.f64 y (*.f64 y (-.f64 -1 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 (fma.f64 y y (pow.f64 y 3)))
(*.f64 (*.f64 y y) (-.f64 -1 y))
(*.f64 y (*.f64 y (-.f64 -1 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 (fma.f64 y y (pow.f64 y 3)))
(*.f64 (*.f64 y y) (-.f64 -1 y))
(*.f64 y (*.f64 y (-.f64 -1 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 (fma.f64 y y (pow.f64 y 3))) 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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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 (fma.f64 y y (pow.f64 y 3))) 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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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 (fma.f64 y y (pow.f64 y 3))) 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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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)))
(neg.f64 (*.f64 y (-.f64 1 x)))
(*.f64 (-.f64 1 x) (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 y x))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 y (-.f64 1 x))))
(fma.f64 -1 (*.f64 (*.f64 y y) (-.f64 1 x)) (neg.f64 (*.f64 y (-.f64 1 x))))
(neg.f64 (*.f64 (-.f64 1 x) (+.f64 (*.f64 y y) y)))
(*.f64 (-.f64 1 x) (neg.f64 (fma.f64 y y y)))
(*.f64 (+.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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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 (fma.f64 y y (pow.f64 y 3))))
(*.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) (-.f64 1 x))
(*.f64 (-.f64 (*.f64 y x) y) (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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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 (fma.f64 y y (pow.f64 y 3))))
(*.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) (-.f64 1 x))
(*.f64 (-.f64 (*.f64 y x) y) (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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (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 (fma.f64 y y (pow.f64 y 3))) (*.f64 (-.f64 (neg.f64 (fma.f64 y y (pow.f64 y 3))) y) x)) y)
(*.f64 (-.f64 1 x) (neg.f64 (fma.f64 y (fma.f64 y y y) y)))
(*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x))

eval117.0ms (2.2%)

Compiler

Compiled 5682 to 3562 computations (37.3% saved)

prune65.0ms (1.2%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New36610376
Fresh213
Picked011
Done235
Total37015385
Error
0b
Counts
385 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.1b
(*.f64 (/.f64 1 (+.f64 y -1)) y)
▶39.8b
(+.f64 (/.f64 1 y) 1)
53.5b
(/.f64 (neg.f64 x) y)
45.7b
(*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1))
39.1b
(+.f64 (*.f64 y x) x)
✓0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
✓30.0b
(/.f64 (neg.f64 x) (+.f64 -1 y))
✓32.7b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) y)))
30.9b
(+.f64 1 (/.f64 (neg.f64 x) y))
✓33.0b
(/.f64 y (-.f64 y 1))
39.1b
x
▶0.1b
(/.f64 1 (/.f64 (+.f64 y -1) (-.f64 y x)))
▶55.8b
(neg.f64 y)
▶32.6b
(*.f64 -1 (-.f64 y x))
39.6b
1
Compiler

Compiled 189 to 135 computations (28.6% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 28 to 15 computations (46.4% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite69.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
479×log-prod_binary64
449×prod-diff_binary64
305×pow-prod-down_binary64
264×pow2_binary64
234×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120020
2284620
Stop Event
1×node limit
Counts
2 → 106
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 y -1) (-.f64 y x)))
(/.f64 (+.f64 y -1) (-.f64 y x))
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 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (+.f64 1 (neg.f64 y)) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2) (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) -2) (/.f64 (-.f64 y x) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y -1) -1/2) (/.f64 (-.f64 y x) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y -1))) (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (neg.f64 y))) (neg.f64 (-.f64 y x)))))) (#(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 *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) -2) (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 y -1)) 1) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (cbrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)))))) (#(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 (-.f64 y x) (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 2) -1/2)))) (#(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 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -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 -1) (-.f64 y x))) -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 -1) (-.f64 y x))) -2)))) (#(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 (neg.f64 (/.f64 (+.f64 1 (neg.f64 y)) (-.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y -1))) 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 (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 -1) (-.f64 y x))) -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 (*.f64 3 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 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 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 (+.f64 y -1) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 y -1) (-.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y -1) (-.f64 y x)))) 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 -1) (/.f64 1 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) 2) (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (*.f64 (cbrt.f64 (+.f64 y -1)) (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) (sqrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y -1)) (*.f64 (sqrt.f64 (+.f64 y -1)) (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 y)) (/.f64 1 (neg.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 y x)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y -1)) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y -1)) 1) (/.f64 (sqrt.f64 (+.f64 y -1)) (-.f64 y x)))))) (#(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 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y -1)) (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (/.f64 (sqrt.f64 (+.f64 y -1)) (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 y x) -1/2) (/.f64 (+.f64 y -1) (sqrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (sqrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (+.f64 y -1)) (sqrt.f64 (-.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 y y (*.f64 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y -1) (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x))))) (#(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 (-.f64 y x) (+.f64 y -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 2) 1/2)))) (#(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 (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 -1) (-.f64 y x))) 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 -1) (-.f64 y x))) 2)))) (#(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 -1) 3) (pow.f64 (-.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y -1) (neg.f64 (-.f64 y x))))))) (#(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 (exp.f64 (/.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 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 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 exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 y -1) (-.f64 y x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x)))) 2))))))

simplify52.0ms (1%)

Algorithm
1×egg-herbie
Rules
739×times-frac_binary64
706×fma-def_binary64
467×associate-+l+_binary64
410×associate-/l*_binary64
357×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01371180
14721099
21652908
Stop Event
1×node limit
Counts
154 → 162
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))))
(/.f64 1 x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (/.f64 1 x))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) x) (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (pow.f64 x 2)) (+.f64 (*.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) x) (/.f64 1 x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 1 x)) (pow.f64 y 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 1 x)) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1 x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 1 x) y)))))
(/.f64 (-.f64 y 1) y)
(-.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 y 1) x) (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 y 1) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 1 (/.f64 (*.f64 (-.f64 y 1) x) (pow.f64 y 2)))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 y 1) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 y 1) x) (pow.f64 y 2)) (/.f64 (*.f64 (-.f64 y 1) (pow.f64 x 3)) (pow.f64 y 4))))) (/.f64 1 y))
(*.f64 -1 (/.f64 (-.f64 y 1) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 y 1)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3))))))
(*.f64 -1 (/.f64 (-.f64 y 1) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 y 1)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3))))))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
(fma.f64 -1 (*.f64 y (-.f64 1 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 x)) (fma.f64 -1 (*.f64 (-.f64 1 x) (*.f64 y y)) x))
(+.f64 x (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (neg.f64 (*.f64 y y)))))
(+.f64 x (*.f64 (-.f64 y (*.f64 x y)) (-.f64 -1 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 x)) (fma.f64 -1 (*.f64 (-.f64 1 x) (*.f64 y y)) (fma.f64 -1 (*.f64 (-.f64 1 x) (pow.f64 y 3)) x)))
(+.f64 (-.f64 x (*.f64 (-.f64 1 x) (pow.f64 y 3))) (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (neg.f64 (*.f64 y y)))))
(+.f64 x (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (-.f64 (neg.f64 (*.f64 y y)) (pow.f64 y 3)))))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 (neg.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))))))
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1
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(+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y))))
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(/.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))))
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(/.f64 (neg.f64 x) (+.f64 y -1))
(/.f64 (neg.f64 x) (+.f64 -1 y))
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(*.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))))
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(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
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(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(/.f64 1 x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (/.f64 1 x))
(fma.f64 y (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 y (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 x))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) x) (/.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (/.f64 x (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))))
(+.f64 (/.f64 1 x) (fma.f64 y (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (*.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))))
(+.f64 (/.f64 1 x) (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 y (*.f64 (/.f64 y x) y))))
(+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (pow.f64 x 2)) (+.f64 (*.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) x) (/.f64 1 x))))
(+.f64 (fma.f64 y (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (/.f64 x (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))))) (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1 x) (fma.f64 y (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (*.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))))) (*.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))))
(+.f64 (fma.f64 (*.f64 (/.f64 y x) y) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 x)) (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 1 x) y)))
(-.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))))
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 x (/.f64 (*.f64 y y) (-.f64 1 x))) (/.f64 (-.f64 1 x) y))))
(-.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) (/.f64 (-.f64 1 x) (/.f64 (*.f64 y y) x)))
(+.f64 1 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 -1 (/.f64 x y))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 x x) (/.f64 (pow.f64 y 3) (-.f64 1 x))) (*.f64 -1 (+.f64 (/.f64 x (/.f64 (*.f64 y y) (-.f64 1 x))) (/.f64 (-.f64 1 x) y)))))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (*.f64 x x))) (/.f64 (-.f64 1 x) y)) (/.f64 (-.f64 1 x) (/.f64 (*.f64 y y) x)))
(+.f64 1 (-.f64 (/.f64 (+.f64 x -1) y) (*.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 1 x) y)))
(-.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 1 x)) (pow.f64 y 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y))))
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 x (/.f64 (*.f64 y y) (-.f64 1 x))) (/.f64 (-.f64 1 x) y))))
(-.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) (/.f64 (-.f64 1 x) (/.f64 (*.f64 y y) x)))
(+.f64 1 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 1 x)) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1 x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 1 x) y)))))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 x x) (/.f64 (pow.f64 y 3) (-.f64 1 x))) (*.f64 -1 (+.f64 (/.f64 x (/.f64 (*.f64 y y) (-.f64 1 x))) (/.f64 (-.f64 1 x) y)))))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (*.f64 x x))) (/.f64 (-.f64 1 x) y)) (/.f64 (-.f64 1 x) (/.f64 (*.f64 y y) x)))
(+.f64 1 (-.f64 (/.f64 (+.f64 x -1) y) (*.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x))))
(/.f64 (-.f64 y 1) y)
(/.f64 (+.f64 y -1) y)
(/.f64 (+.f64 -1 y) y)
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 y 1) x) (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 (+.f64 y -1) (/.f64 (*.f64 y y) x))) (/.f64 1 y))
(+.f64 (/.f64 (+.f64 -1 y) (/.f64 (*.f64 y y) x)) (/.f64 (+.f64 -1 y) y))
(*.f64 (+.f64 (/.f64 x y) 1) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 y 1) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 1 (/.f64 (*.f64 (-.f64 y 1) x) (pow.f64 y 2)))) (/.f64 1 y))
(+.f64 (/.f64 (+.f64 y -1) (/.f64 (pow.f64 y 3) (*.f64 x x))) (-.f64 (+.f64 1 (/.f64 (+.f64 y -1) (/.f64 (*.f64 y y) x))) (/.f64 1 y)))
(+.f64 (+.f64 (/.f64 (+.f64 -1 y) (/.f64 (*.f64 y y) x)) (/.f64 (+.f64 -1 y) y)) (*.f64 (/.f64 (+.f64 -1 y) (pow.f64 y 3)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (+.f64 -1 y) (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x)) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 y 1) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 y 1) x) (pow.f64 y 2)) (/.f64 (*.f64 (-.f64 y 1) (pow.f64 x 3)) (pow.f64 y 4))))) (/.f64 1 y))
(+.f64 (/.f64 (+.f64 y -1) (/.f64 (pow.f64 y 3) (*.f64 x x))) (-.f64 (+.f64 1 (+.f64 (/.f64 (+.f64 y -1) (/.f64 (*.f64 y y) x)) (/.f64 (+.f64 y -1) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))) (/.f64 1 y)))
(+.f64 (*.f64 (/.f64 (+.f64 -1 y) (pow.f64 y 3)) (*.f64 x x)) (+.f64 (+.f64 1 (/.f64 (+.f64 -1 y) (/.f64 (*.f64 y y) x))) (-.f64 (/.f64 (+.f64 -1 y) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 1 y))))
(+.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 -1 y) (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x))) (fma.f64 (/.f64 (+.f64 -1 y) (pow.f64 y 4)) (pow.f64 x 3) (/.f64 -1 y)))
(*.f64 -1 (/.f64 (-.f64 y 1) x))
(neg.f64 (/.f64 (+.f64 y -1) x))
(/.f64 (neg.f64 (+.f64 -1 y)) x)
(/.f64 (fma.f64 -1 y 1) x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))))
(fma.f64 -1 (/.f64 (+.f64 y -1) x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 y -1)))))
(-.f64 (/.f64 (neg.f64 (+.f64 -1 y)) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 y)))
(*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3)))))
(fma.f64 -1 (/.f64 (+.f64 y -1) x) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 y -1))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (+.f64 y -1))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (+.f64 -1 y)) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 y))) (/.f64 y (/.f64 (/.f64 (pow.f64 x 3) (+.f64 -1 y)) y)))
(-.f64 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 -1 (/.f64 y x))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 y 1)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (+.f64 y -1) x) (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (+.f64 y -1))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) (+.f64 y -1))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (+.f64 y -1)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 y y)) (/.f64 (pow.f64 x 3) (+.f64 -1 y))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 -1 y))) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 y))) (/.f64 (+.f64 -1 y) x))
(-.f64 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 -1 (/.f64 y x))) (*.f64 (+.f64 -1 y) (+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (-.f64 y 1) x))
(neg.f64 (/.f64 (+.f64 y -1) x))
(/.f64 (neg.f64 (+.f64 -1 y)) x)
(/.f64 (fma.f64 -1 y 1) x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))))
(fma.f64 -1 (/.f64 (+.f64 y -1) x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 y -1)))))
(-.f64 (/.f64 (neg.f64 (+.f64 -1 y)) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 y)))
(*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3)))))
(fma.f64 -1 (/.f64 (+.f64 y -1) x) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 y -1))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (+.f64 y -1))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (+.f64 -1 y)) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 y))) (/.f64 y (/.f64 (/.f64 (pow.f64 x 3) (+.f64 -1 y)) y)))
(-.f64 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 -1 (/.f64 y x))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 y 1)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (+.f64 y -1) x) (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (+.f64 y -1))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) (+.f64 y -1))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (+.f64 y -1)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 y y)) (/.f64 (pow.f64 x 3) (+.f64 -1 y))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 -1 y))) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 y))) (/.f64 (+.f64 -1 y) x))
(-.f64 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 -1 (/.f64 y x))) (*.f64 (+.f64 -1 y) (+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))

localize3.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize5.0ms (0.1%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 15 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
710×pow1_binary64
661×add-log-exp_binary64
660×log1p-expm1-u_binary64
660×expm1-log1p-u_binary64
649×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11447
217867
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 y -1)) y)
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 1 (/.f64 (+.f64 y -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (+.f64 y -1) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (+.f64 y -1) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.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 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 cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 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 y 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))))))))

simplify57.0ms (1.1%)

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
35 → 38
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)))))

eval76.0ms (1.4%)

Compiler

Compiled 3573 to 2438 computations (31.8% saved)

prune43.0ms (0.8%)

Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New2561257
Fresh156
Picked011
Done088
Total25715272
Error
0b
Counts
272 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.0b
(/.f64 1 (+.f64 1 (/.f64 -1 y)))
✓32.7b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) y)))
✓33.1b
(*.f64 (/.f64 1 (+.f64 y -1)) y)
✓39.8b
(+.f64 (/.f64 1 y) 1)
▶53.5b
(/.f64 (neg.f64 x) y)
✓0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
✓30.0b
(/.f64 (neg.f64 x) (+.f64 -1 y))
▶30.9b
(+.f64 1 (/.f64 (neg.f64 x) y))
✓33.0b
(/.f64 y (-.f64 y 1))
39.1b
x
✓0.1b
(/.f64 1 (/.f64 (+.f64 y -1) (-.f64 y x)))
▶39.1b
(+.f64 (*.f64 y x) x)
✓55.8b
(neg.f64 y)
✓32.6b
(*.f64 -1 (-.f64 y x))
39.6b
1
Compiler

Compiled 115 to 84 computations (27% saved)

localize6.0ms (0.1%)

Compiler

Compiled 17 to 7 computations (58.8% 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)

series3.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

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

rewrite50.0ms (0.9%)

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)))))

simplify22.0ms (0.4%)

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)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 16 computations (20% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite57.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
710×pow1_binary64
660×add-log-exp_binary64
659×log1p-expm1-u_binary64
659×expm1-log1p-u_binary64
647×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114817
2185517
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (/.f64 -1 y)))
(+.f64 1 (/.f64 -1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 -1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 -1 y)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) -1/2) (pow.f64 (+.f64 1 (/.f64 -1 y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 -1 (pow.f64 y 3)))) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (/.f64 1 (*.f64 y y)))) (+.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 -1 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 -1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (/.f64 -1 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (/.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (/.f64 1 y))) (/.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (sqrt.f64 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1 (pow.f64 y 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 1 (*.f64 y y))) (/.f64 1 (+.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))) (+.f64 1 (/.f64 -1 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 1 y)) (-.f64 1 (/.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (pow.f64 (+.f64 1 (/.f64 -1 y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 (/.f64 -1 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -1 (pow.f64 y 3))) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -1 (pow.f64 y 3))) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (/.f64 -1 (pow.f64 y 3)))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (/.f64 1 (*.f64 y y)))) (neg.f64 (+.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (*.f64 y y)) 1) (-.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 y)) 2) (/.f64 -1 (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 y)) (sqrt.f64 (/.f64 -1 y)) 1)))))

simplify76.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
650×associate-/l/_binary64
467×fma-neg_binary64
414×fma-def_binary64
334×sub-neg_binary64
282×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031221
189213
2245207
3788201
43362201
55800201
67871201
Stop Event
1×node limit
Counts
82 → 76
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)))))
(/.f64 -1 y)
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
1
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
1
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 -1 (+.f64 (*.f64 y y) 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))
(neg.f64 (*.f64 y (+.f64 (fma.f64 y y 1) 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 (neg.f64 (pow.f64 y 3)) (pow.f64 y 4)) (neg.f64 (fma.f64 y 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 (pow.f64 y 3)) (/.f64 1 (*.f64 y 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 (pow.f64 y 3)) (/.f64 1 (*.f64 y 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)))))
(/.f64 -1 y)
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))

localize4.0ms (0.1%)

Compiler

Compiled 10 to 4 computations (60% saved)

eval32.0ms (0.6%)

Compiler

Compiled 1375 to 933 computations (32.1% saved)

prune24.0ms (0.5%)

Pruning

15 alts after pruning (2 fresh and 13 done)

PrunedKeptTotal
New1201121
Fresh112
Picked011
Done01212
Total12115136
Error
0b
Counts
136 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓33.0b
(/.f64 1 (+.f64 1 (/.f64 -1 y)))
✓32.7b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) y)))
39.1b
x
✓30.9b
(+.f64 1 (/.f64 (neg.f64 x) y))
✓33.1b
(*.f64 (/.f64 1 (+.f64 y -1)) y)
✓39.8b
(+.f64 (/.f64 1 y) 1)
✓53.5b
(/.f64 (neg.f64 x) y)
✓0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
✓30.0b
(/.f64 (neg.f64 x) (+.f64 -1 y))
✓33.0b
(/.f64 y (-.f64 y 1))
✓0.1b
(/.f64 1 (/.f64 (+.f64 y -1) (-.f64 y x)))
✓39.1b
(+.f64 (*.f64 y x) x)
✓55.8b
(neg.f64 y)
✓32.6b
(*.f64 -1 (-.f64 y x))
39.6b
1
Compiler

Compiled 115 to 84 computations (27% saved)

regimes49.0ms (0.9%)

Counts
22 → 1
Calls
Call 1
Inputs
x
1
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) 1)
(+.f64 (*.f64 y x) x)
(*.f64 -1 (-.f64 y x))
(/.f64 y (-.f64 y 1))
(+.f64 1 (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(/.f64 1 (+.f64 1 (/.f64 -1 y)))
(*.f64 (/.f64 1 (+.f64 y -1)) y)
(+.f64 1 (/.f64 (-.f64 1 x) y))
(/.f64 (-.f64 y x) (+.f64 y -1))
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 1 (/.f64 (+.f64 y -1) (-.f64 y x)))
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) y)))
(*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1))
(*.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) (+.f64 y 1))
Outputs
(/.f64 (-.f64 y x) (+.f64 y -1))
Calls

4 calls:

12.0ms
x
12.0ms
y
10.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
9.0ms
(/.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 158 to 94 computations (40.5% saved)

regimes73.0ms (1.4%)

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

2 calls:

46.0ms
x
24.0ms
y
Results
ErrorSegmentsBranch
12.4b5x
1.2b3y
Compiler

Compiled 71 to 44 computations (38% saved)

bsearch32.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
3.9736313734522685e-11
987519.4651585065
16.0ms
-8593051602052.214
-0.5013406171269427
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes68.0ms (1.3%)

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

2 calls:

43.0ms
x
23.0ms
y
Results
ErrorSegmentsBranch
12.4b5x
1.4b3y
Compiler

Compiled 64 to 39 computations (39.1% saved)

bsearch32.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
3.9736313734522685e-11
987519.4651585065
16.0ms
-8593051602052.214
-0.5013406171269427
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes94.0ms (1.8%)

Counts
10 → 7
Calls
Call 1
Inputs
x
1
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) 1)
(+.f64 (*.f64 y x) x)
(*.f64 -1 (-.f64 y x))
(/.f64 y (-.f64 y 1))
Outputs
1
(/.f64 (neg.f64 x) y)
(/.f64 y (-.f64 y 1))
(*.f64 -1 (-.f64 y x))
(+.f64 (/.f64 1 y) 1)
(/.f64 (neg.f64 x) y)
1
Calls

2 calls:

51.0ms
x
40.0ms
y
Results
ErrorSegmentsBranch
18.4b8x
7.5b7y
Compiler

Compiled 38 to 23 computations (39.5% saved)

bsearch93.0ms (1.8%)

Algorithm
6×binary-search
Steps
TimeLeftRight
16.0ms
2.6849126385726293e+143
2.7888370181685238e+150
16.0ms
3.42329780547036e+72
3.7975063264034697e+74
16.0ms
3.9736313734522685e-11
987519.4651585065
15.0ms
-2.434899206837755e-6
-5.395007485468075e-7
15.0ms
-192994795141820.56
-8593051602052.214
16.0ms
-8.64343690593473e+42
-1.5403109002512397e+38
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes109.0ms (2.1%)

Counts
9 → 7
Calls
Call 1
Inputs
x
1
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) 1)
(+.f64 (*.f64 y x) x)
(*.f64 -1 (-.f64 y x))
Outputs
1
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) 1)
(*.f64 -1 (-.f64 y x))
(+.f64 (/.f64 1 y) 1)
(/.f64 (neg.f64 x) y)
1
Calls

2 calls:

68.0ms
x
39.0ms
y
Results
ErrorSegmentsBranch
21.6b12x
8.0b7y
Compiler

Compiled 33 to 20 computations (39.4% saved)

bsearch93.0ms (1.8%)

Algorithm
6×binary-search
Steps
TimeLeftRight
17.0ms
2.6849126385726293e+143
2.7888370181685238e+150
15.0ms
3.42329780547036e+72
3.7975063264034697e+74
16.0ms
3.9736313734522685e-11
987519.4651585065
15.0ms
-8593051602052.214
-0.5013406171269427
16.0ms
-192994795141820.56
-8593051602052.214
15.0ms
-8.64343690593473e+42
-1.5403109002512397e+38
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes98.0ms (1.9%)

Counts
8 → 7
Calls
Call 1
Inputs
x
1
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) 1)
(+.f64 (*.f64 y x) x)
Outputs
1
(/.f64 (neg.f64 x) y)
(neg.f64 y)
(+.f64 (*.f64 y x) x)
(+.f64 (/.f64 1 y) 1)
(/.f64 (neg.f64 x) y)
1
Calls

2 calls:

52.0ms
x
44.0ms
y
Results
ErrorSegmentsBranch
23.9b10x
14.1b7y
Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch92.0ms (1.7%)

Algorithm
6×binary-search
Steps
TimeLeftRight
15.0ms
2.6849126385726293e+143
2.7888370181685238e+150
16.0ms
3.42329780547036e+72
3.7975063264034697e+74
15.0ms
3.9736313734522685e-11
987519.4651585065
15.0ms
-6.938365322591509e-22
-2.2466173720498696e-27
16.0ms
-192994795141820.56
-8593051602052.214
15.0ms
-8.64343690593473e+42
-1.5403109002512397e+38
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes86.0ms (1.6%)

Counts
7 → 7
Calls
Call 1
Inputs
x
1
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) 1)
Outputs
1
(/.f64 (neg.f64 x) y)
(neg.f64 y)
x
(+.f64 (/.f64 1 y) 1)
(/.f64 (neg.f64 x) y)
1
Calls

2 calls:

52.0ms
x
32.0ms
y
Results
ErrorSegmentsBranch
24.1b10x
14.3b7y
Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch98.0ms (1.9%)

Algorithm
6×binary-search
Steps
TimeLeftRight
17.0ms
2.6849126385726293e+143
2.7888370181685238e+150
16.0ms
3.42329780547036e+72
3.7975063264034697e+74
18.0ms
3.9736313734522685e-11
987519.4651585065
15.0ms
-6.938365322591509e-22
-2.2466173720498696e-27
16.0ms
-192994795141820.56
-8593051602052.214
15.0ms
-8.64343690593473e+42
-1.5403109002512397e+38
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes117.0ms (2.2%)

Counts
6 → 7
Calls
Call 1
Inputs
x
1
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
Outputs
1
(/.f64 (neg.f64 x) y)
(neg.f64 y)
x
1
(/.f64 (neg.f64 x) y)
1
Calls

2 calls:

84.0ms
x
31.0ms
y
Results
ErrorSegmentsBranch
24.1b10x
14.4b7y
Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch236.0ms (4.5%)

Algorithm
6×binary-search
Steps
TimeLeftRight
16.0ms
2.6849126385726293e+143
2.7888370181685238e+150
16.0ms
3.42329780547036e+72
3.7975063264034697e+74
16.0ms
3.9736313734522685e-11
987519.4651585065
157.0ms
-6.938365322591509e-22
-2.2466173720498696e-27
15.0ms
-192994795141820.56
-8593051602052.214
16.0ms
-8.64343690593473e+42
-1.5403109002512397e+38
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes48.0ms (0.9%)

Accuracy

Total -45.5b remaining (-266.5%)

Threshold costs -45.5b (-266.5%)

Counts
5 → 3
Calls
Call 1
Inputs
x
1
1
x
(neg.f64 y)
Outputs
1
x
1
Calls

2 calls:

33.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
26.9b7x
17.1b3y
Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch32.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
3.9736313734522685e-11
987519.4651585065
16.0ms
-0.006875490932459209
-0.006575686950157199
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify36.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
31×cancel-sign-sub-inv_binary64
28×distribute-rgt-neg-in_binary64
18×distribute-lft-neg-in_binary64
18×neg-sub0_binary64
17×distribute-lft-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069423
189419
2101419
3117411
4137411
5162411
6189411
7212411
8239411
9256411
10270411
11284411
12297411
13301411
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) (+.f64 y -1))
(if (<=.f64 y -8799284840501467/1024) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (*.f64 -1 (-.f64 y x)) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8799284840501467/1024) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (*.f64 -1 (-.f64 y x)) (+.f64 1 (/.f64 (neg.f64 x) y))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -5749243201768249/2361183241434822606848) (/.f64 y (-.f64 y 1)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (*.f64 -1 (-.f64 y x)) (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 (/.f64 1 y) 1) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -8799284840501467/1024) (+.f64 (/.f64 1 y) 1) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (*.f64 -1 (-.f64 y x)) (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 (/.f64 1 y) 1) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -3689067772708749/5316911983139663491615228241121378304) (neg.f64 y) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (+.f64 (*.f64 y x) x) (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 (/.f64 1 y) 1) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -3689067772708749/5316911983139663491615228241121378304) (neg.f64 y) (if (<=.f64 y 6148896723196401/154742504910672534362390528) x (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 (/.f64 1 y) 1) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -3689067772708749/5316911983139663491615228241121378304) (neg.f64 y) (if (<=.f64 y 6148896723196401/154742504910672534362390528) x (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) 1 (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -7926901350761605/1152921504606846976) 1 (if (<=.f64 y 6148896723196401/154742504910672534362390528) x 1))
x
Outputs
(/.f64 (-.f64 y x) (+.f64 y -1))
(if (<=.f64 y -8799284840501467/1024) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (*.f64 -1 (-.f64 y x)) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8799284840501467/1024) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (neg.f64 (-.f64 y x)) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8799284840501467/1024) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (-.f64 x y) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8799284840501467/1024) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (*.f64 -1 (-.f64 y x)) (+.f64 1 (/.f64 (neg.f64 x) y))))
(if (<=.f64 y -8799284840501467/1024) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (neg.f64 (-.f64 y x)) (+.f64 1 (/.f64 (neg.f64 x) y))))
(if (<=.f64 y -8799284840501467/1024) (-.f64 1 (/.f64 x y)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (neg.f64 (-.f64 y x)) (-.f64 1 (/.f64 x y))))
(if (<=.f64 y -8799284840501467/1024) (-.f64 1 (/.f64 x y)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (-.f64 x y) (-.f64 1 (/.f64 x y))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -5749243201768249/2361183241434822606848) (/.f64 y (-.f64 y 1)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (*.f64 -1 (-.f64 y x)) (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 (/.f64 1 y) 1) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -5749243201768249/2361183241434822606848) (/.f64 y (+.f64 y -1)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (neg.f64 (-.f64 y x)) (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 1 (/.f64 1 y)) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -5749243201768249/2361183241434822606848) (/.f64 y (+.f64 y -1)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (-.f64 x y) (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 1 (/.f64 1 y)) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -8799284840501467/1024) (+.f64 (/.f64 1 y) 1) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (*.f64 -1 (-.f64 y x)) (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 (/.f64 1 y) 1) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -8799284840501467/1024) (+.f64 1 (/.f64 1 y)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (neg.f64 (-.f64 y x)) (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 1 (/.f64 1 y)) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -8799284840501467/1024) (+.f64 1 (/.f64 1 y)) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (-.f64 x y) (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 1 (/.f64 1 y)) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -3689067772708749/5316911983139663491615228241121378304) (neg.f64 y) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (+.f64 (*.f64 y x) x) (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 (/.f64 1 y) 1) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -3689067772708749/5316911983139663491615228241121378304) (neg.f64 y) (if (<=.f64 y 6148896723196401/154742504910672534362390528) (+.f64 x (*.f64 y x)) (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 1 (/.f64 1 y)) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -3689067772708749/5316911983139663491615228241121378304) (neg.f64 y) (if (<=.f64 y 6148896723196401/154742504910672534362390528) x (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 (/.f64 1 y) 1) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -3689067772708749/5316911983139663491615228241121378304) (neg.f64 y) (if (<=.f64 y 6148896723196401/154742504910672534362390528) x (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) (+.f64 1 (/.f64 1 y)) (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -8643436905934730599093385292953322367483904) 1 (if (<=.f64 y -3087916722269129/16) (/.f64 (neg.f64 x) y) (if (<=.f64 y -3689067772708749/5316911983139663491615228241121378304) (neg.f64 y) (if (<=.f64 y 6148896723196401/154742504910672534362390528) x (if (<=.f64 y 3423297805470359980829430978279662240416421884683309679661568314084163584) 1 (if (<=.f64 y 268491263857262933718127706621002734541799048487605689305972635371512349666888663371415230099534766210896902544223921066528085719185257211625472) (/.f64 (neg.f64 x) y) 1))))))
(if (<=.f64 y -7926901350761605/1152921504606846976) 1 (if (<=.f64 y 6148896723196401/154742504910672534362390528) x 1))
x
Compiler

Compiled 305 to 202 computations (33.8% saved)

soundness215.0ms (4.1%)

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)

end237.0ms (4.5%)

Compiler

Compiled 287 to 171 computations (40.4% saved)

Profiling

Loading profile data...