Details

Time bar (total: 4.4s)

analyze69.0ms (1.6%)

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)

sample765.0ms (17.6%)

Results
751.0ms8255×body256valid
0.0ms1×body1024valid
Bogosity

preprocess164.0ms (3.8%)

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)

simplify74.0ms (1.7%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 16 to 10 computations (37.5% saved)

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)

localize7.0ms (0.2%)

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
x
@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))

rewrite119.0ms (2.7%)

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))))))))

simplify59.0ms (1.3%)

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)))

eval589.0ms (13.5%)

Compiler

Compiled 11380 to 7813 computations (31.3% saved)

prune80.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2766282
Fresh000
Picked011
Done000
Total2767283
Error
0b
Counts
283 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.0b
(+.f64 1 (/.f64 (-.f64 1 x) y))
37.1b
1
▶29.5b
(/.f64 y (-.f64 y 1))
✓0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
▶34.6b
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
42.0b
x
▶33.6b
(/.f64 (neg.f64 x) (+.f64 -1 y))
Compiler

Compiled 52 to 39 computations (25% saved)

localize18.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series7.0ms (0.2%)

Counts
1 → 12
Calls

6 calls:

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

rewrite80.0ms (1.8%)

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)))))))

simplify50.0ms (1.1%)

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)

localize41.0ms (1%)

Local error

Found 2 expressions with local error:

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

Compiled 41 to 30 computations (26.8% saved)

series12.0ms (0.3%)

Counts
2 → 27
Calls

12 calls:

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

rewrite84.0ms (1.9%)

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

Useful iterations: 1 (0.0ms)

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

simplify67.0ms (1.5%)

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

Useful iterations: 2 (0.0ms)

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

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 8 computations (33.3% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite69.0ms (1.6%)

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))))))))

simplify79.0ms (1.8%)

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 (0.2%)

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)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite55.0ms (1.3%)

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))))))))

simplify49.0ms (1.1%)

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)))

eval59.0ms (1.3%)

Compiler

Compiled 2679 to 1748 computations (34.8% saved)

prune47.0ms (1.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2258233
Fresh112
Picked011
Done314
Total22911240
Error
0b
Counts
240 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
37.2b
(+.f64 (/.f64 1 y) 1)
▶54.2b
(/.f64 (neg.f64 x) y)
▶54.7b
(neg.f64 y)
✓33.6b
(/.f64 (neg.f64 x) (+.f64 -1 y))
▶29.0b
(+.f64 1 (/.f64 (neg.f64 x) y))
▶42.3b
(*.f64 (+.f64 1 y) x)
37.1b
1
✓29.5b
(/.f64 y (-.f64 y 1))
42.0b
x
▶34.4b
(+.f64 (*.f64 -1 y) x)
42.3b
(+.f64 (*.f64 y x) x)
Compiler

Compiled 113 to 82 computations (27.4% saved)

localize13.0ms (0.3%)

Compiler

Compiled 17 to 7 computations (58.8% saved)

localize6.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize12.0ms (0.3%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series5.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite78.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
604×pow1_binary64
560×add-log-exp_binary64
560×log1p-expm1-u_binary64
560×expm1-log1p-u_binary64
549×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11217
215207
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (+.f64 1 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (+.f64 1 (-.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.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 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))))))

simplify14.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
14×fma-def_binary64
4×associate-*r*_binary64
4×associate-*l*_binary64
3×*-lft-identity_binary64
3×*-rgt-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0554
11154
21654
32254
42854
54154
64554
74754
Stop Event
1×saturated
Counts
31 → 23
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
Outputs
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)

localize5.0ms (0.1%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval4.0ms (0.1%)

Compiler

Compiled 169 to 74 computations (56.2% saved)

prune7.0ms (0.2%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New22123
Fresh134
Picked011
Done066
Total231134
Error
0b
Counts
34 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶37.2b
(+.f64 (/.f64 1 y) 1)
✓54.2b
(/.f64 (neg.f64 x) y)
✓54.7b
(neg.f64 y)
✓33.6b
(/.f64 (neg.f64 x) (+.f64 -1 y))
✓29.0b
(+.f64 1 (/.f64 (neg.f64 x) y))
✓42.3b
(*.f64 (+.f64 1 y) x)
37.1b
1
✓29.5b
(/.f64 y (-.f64 y 1))
42.0b
x
▶42.3b
(+.f64 (*.f64 y x) x)
✓34.4b
(+.f64 (*.f64 -1 y) x)
Compiler

Compiled 67 to 49 computations (26.9% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

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

rewrite51.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify17.0ms (0.4%)

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)

localize6.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

eval8.0ms (0.2%)

Compiler

Compiled 468 to 182 computations (61.1% saved)

prune11.0ms (0.3%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New45045
Fresh022
Picked011
Done088
Total451156
Error
0b
Counts
56 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓37.2b
(+.f64 (/.f64 1 y) 1)
✓54.2b
(/.f64 (neg.f64 x) y)
✓54.7b
(neg.f64 y)
✓33.6b
(/.f64 (neg.f64 x) (+.f64 -1 y))
✓29.0b
(+.f64 1 (/.f64 (neg.f64 x) y))
✓42.3b
(*.f64 (+.f64 1 y) x)
37.1b
1
✓29.5b
(/.f64 y (-.f64 y 1))
42.0b
x
✓42.3b
(+.f64 (*.f64 y x) x)
✓34.4b
(+.f64 (*.f64 -1 y) x)
Compiler

Compiled 67 to 49 computations (26.9% saved)

regimes39.0ms (0.9%)

Counts
17 → 1
Calls
Call 1
Inputs
x
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 y x) x)
(+.f64 (/.f64 1 y) 1)
(*.f64 (+.f64 1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 y x) x)
(/.f64 y (-.f64 y 1))
(+.f64 1 (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(/.f64 (-.f64 y x) (+.f64 y -1))
(/.f64 (-.f64 x y) (-.f64 1 y))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
Outputs
(/.f64 (-.f64 y x) (+.f64 y -1))
Calls

4 calls:

10.0ms
x
9.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
9.0ms
y
7.0ms
(/.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 109 to 63 computations (42.2% saved)

regimes61.0ms (1.4%)

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

2 calls:

36.0ms
x
22.0ms
y
Results
ErrorSegmentsBranch
11.8b5x
1.0b3y
Compiler

Compiled 66 to 35 computations (47% saved)

bsearch32.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
7.737555720155234e-8
894.0465913985838
17.0ms
-121030.9277358926
-6.145536911401193e-12
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes59.0ms (1.4%)

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

2 calls:

34.0ms
x
21.0ms
y
Results
ErrorSegmentsBranch
11.8b5x
1.2b3y
Compiler

Compiled 59 to 30 computations (49.2% saved)

bsearch32.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
7.737555720155234e-8
894.0465913985838
17.0ms
-121030.9277358926
-6.145536911401193e-12
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes85.0ms (2%)

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

2 calls:

54.0ms
x
28.0ms
y
Results
ErrorSegmentsBranch
18.1b8x
8.0b4y
Compiler

Compiled 47 to 25 computations (46.8% saved)

bsearch50.0ms (1.1%)

Algorithm
3×binary-search
Steps
TimeLeftRight
17.0ms
7.737555720155234e-8
894.0465913985838
16.0ms
-121030.9277358926
-6.145536911401193e-12
17.0ms
-6.764012515550494e+88
-6.873745201071189e+70
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes73.0ms (1.7%)

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

2 calls:

48.0ms
x
23.0ms
y
Results
ErrorSegmentsBranch
25.8b8x
8.3b4y
Compiler

Compiled 42 to 22 computations (47.6% saved)

bsearch49.0ms (1.1%)

Algorithm
3×binary-search
Steps
TimeLeftRight
17.0ms
7.737555720155234e-8
894.0465913985838
16.0ms
-121030.9277358926
-6.145536911401193e-12
17.0ms
-6.764012515550494e+88
-6.873745201071189e+70
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes74.0ms (1.7%)

Counts
8 → 6
Calls
Call 1
Inputs
x
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 y x) x)
(+.f64 (/.f64 1 y) 1)
(*.f64 (+.f64 1 y) x)
Outputs
1
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 y x) x)
(neg.f64 y)
(+.f64 (*.f64 y x) x)
(+.f64 (/.f64 1 y) 1)
Calls

2 calls:

43.0ms
x
29.0ms
y
Results
ErrorSegmentsBranch
25.8b8x
14.6b6y
Compiler

Compiled 32 to 19 computations (40.6% saved)

bsearch82.0ms (1.9%)

Algorithm
5×binary-search
Steps
TimeLeftRight
17.0ms
7.737555720155234e-8
894.0465913985838
17.0ms
1.3667935841857641e-43
4.135479058691729e-35
16.0ms
1.3866933184909712e-119
2.8866624224662034e-111
17.0ms
-121030.9277358926
-6.145536911401193e-12
16.0ms
-6.764012515550494e+88
-6.873745201071189e+70
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes58.0ms (1.3%)

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

2 calls:

30.0ms
x
26.0ms
y
Results
ErrorSegmentsBranch
26.8b6x
14.7b6y
Compiler

Compiled 22 to 12 computations (45.5% saved)

bsearch82.0ms (1.9%)

Algorithm
5×binary-search
Steps
TimeLeftRight
17.0ms
7.737555720155234e-8
894.0465913985838
16.0ms
1.3667935841857641e-43
4.135479058691729e-35
17.0ms
1.3866933184909712e-119
2.8866624224662034e-111
16.0ms
-121030.9277358926
-6.145536911401193e-12
17.0ms
-6.764012515550494e+88
-6.873745201071189e+70
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes53.0ms (1.2%)

Counts
5 → 6
Calls
Call 1
Inputs
x
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
Outputs
1
(/.f64 (neg.f64 x) y)
x
(neg.f64 y)
x
1
Calls

2 calls:

28.0ms
x
24.0ms
y
Results
ErrorSegmentsBranch
26.8b6x
15.0b6y
Compiler

Compiled 17 to 10 computations (41.2% saved)

bsearch81.0ms (1.9%)

Algorithm
5×binary-search
Steps
TimeLeftRight
16.0ms
7.737555720155234e-8
894.0465913985838
16.0ms
1.3667935841857641e-43
4.135479058691729e-35
17.0ms
1.3866933184909712e-119
2.8866624224662034e-111
16.0ms
-121030.9277358926
-6.145536911401193e-12
17.0ms
-6.764012515550494e+88
-6.873745201071189e+70
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes43.0ms (1%)

Counts
4 → 5
Calls
Call 1
Inputs
x
1
x
(neg.f64 y)
Outputs
1
x
(neg.f64 y)
x
1
Calls

2 calls:

21.0ms
y
21.0ms
x
Results
ErrorSegmentsBranch
28.0b5x
16.2b5y
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch65.0ms (1.5%)

Algorithm
4×binary-search
Steps
TimeLeftRight
17.0ms
7.737555720155234e-8
894.0465913985838
15.0ms
1.3667935841857641e-43
4.135479058691729e-35
16.0ms
1.3866933184909712e-119
2.8866624224662034e-111
16.0ms
-10710713085907712.0
-189701380128.5569
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes30.0ms (0.7%)

Accuracy

Total -44.4b remaining (-254.8%)

Threshold costs -44.4b (-254.8%)

Counts
3 → 3
Calls
Call 1
Inputs
x
1
x
Outputs
1
x
1
Calls

2 calls:

19.0ms
x
10.0ms
y
Results
ErrorSegmentsBranch
28.0b5x
17.4b3y
Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch32.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
7.737555720155234e-8
894.0465913985838
17.0ms
-10710713085907712.0
-189701380128.5569
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify17.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
11×+-commutative_binary64
6×sub-neg_binary64
4×*-commutative_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063366
183354
292354
396354
497354
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) (+.f64 y -1))
(if (<=.f64 y -8317182022883169/68719476736) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 (*.f64 -1 y) x) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8317182022883169/68719476736) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 (*.f64 -1 y) x) (+.f64 1 (/.f64 (neg.f64 x) y))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 (*.f64 -1 y) x) (/.f64 y (-.f64 y 1)))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 (*.f64 -1 y) x) (+.f64 (/.f64 1 y) 1))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 314969500812881/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 (*.f64 y x) x) (if (<=.f64 y 6863601903366273/50216813883093446110686315385661331328818843555712276103168) (neg.f64 y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 (*.f64 y x) x) (+.f64 (/.f64 1 y) 1))))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 314969500812881/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 (*.f64 y x) x) (if (<=.f64 y 6863601903366273/50216813883093446110686315385661331328818843555712276103168) (neg.f64 y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 (*.f64 y x) x) 1)))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 314969500812881/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) x (if (<=.f64 y 6863601903366273/50216813883093446110686315385661331328818843555712276103168) (neg.f64 y) (if (<=.f64 y 1461582951687895/18889465931478580854784) x 1)))))
(if (<=.f64 y -10710713085907712) 1 (if (<=.f64 y 314969500812881/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) x (if (<=.f64 y 6863601903366273/50216813883093446110686315385661331328818843555712276103168) (neg.f64 y) (if (<=.f64 y 1461582951687895/18889465931478580854784) x 1))))
(if (<=.f64 y -10710713085907712) 1 (if (<=.f64 y 1461582951687895/18889465931478580854784) x 1))
x
Outputs
(/.f64 (-.f64 y x) (+.f64 y -1))
(if (<=.f64 y -8317182022883169/68719476736) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 (*.f64 -1 y) x) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8317182022883169/68719476736) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 x (neg.f64 y)) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8317182022883169/68719476736) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 1461582951687895/18889465931478580854784) (-.f64 x y) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8317182022883169/68719476736) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 (*.f64 -1 y) x) (+.f64 1 (/.f64 (neg.f64 x) y))))
(if (<=.f64 y -8317182022883169/68719476736) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 x (neg.f64 y)) (+.f64 1 (/.f64 (neg.f64 x) y))))
(if (<=.f64 y -8317182022883169/68719476736) (-.f64 1 (/.f64 x y)) (if (<=.f64 y 1461582951687895/18889465931478580854784) (-.f64 x y) (-.f64 1 (/.f64 x y))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 (*.f64 -1 y) x) (/.f64 y (-.f64 y 1)))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 x (neg.f64 y)) (/.f64 y (+.f64 y -1)))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (-.f64 x y) (/.f64 y (+.f64 y -1)))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 (*.f64 -1 y) x) (+.f64 (/.f64 1 y) 1))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 x (neg.f64 y)) (+.f64 1 (/.f64 1 y)))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (-.f64 x y) (+.f64 1 (/.f64 1 y)))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 314969500812881/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 (*.f64 y x) x) (if (<=.f64 y 6863601903366273/50216813883093446110686315385661331328818843555712276103168) (neg.f64 y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 (*.f64 y x) x) (+.f64 (/.f64 1 y) 1))))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 314969500812881/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 x (*.f64 y x)) (if (<=.f64 y 6863601903366273/50216813883093446110686315385661331328818843555712276103168) (neg.f64 y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 x (*.f64 y x)) (+.f64 1 (/.f64 1 y)))))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 314969500812881/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 (*.f64 y x) x) (if (<=.f64 y 6863601903366273/50216813883093446110686315385661331328818843555712276103168) (neg.f64 y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 (*.f64 y x) x) 1)))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 314969500812881/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 x (*.f64 y x)) (if (<=.f64 y 6863601903366273/50216813883093446110686315385661331328818843555712276103168) (neg.f64 y) (if (<=.f64 y 1461582951687895/18889465931478580854784) (+.f64 x (*.f64 y x)) 1)))))
(if (<=.f64 y -67640125155504942021983541602055440844985666838637484922924101602621284941004511649988608) 1 (if (<=.f64 y -8317182022883169/68719476736) (/.f64 (neg.f64 x) y) (if (<=.f64 y 314969500812881/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) x (if (<=.f64 y 6863601903366273/50216813883093446110686315385661331328818843555712276103168) (neg.f64 y) (if (<=.f64 y 1461582951687895/18889465931478580854784) x 1)))))
(if (<=.f64 y -10710713085907712) 1 (if (<=.f64 y 314969500812881/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) x (if (<=.f64 y 6863601903366273/50216813883093446110686315385661331328818843555712276103168) (neg.f64 y) (if (<=.f64 y 1461582951687895/18889465931478580854784) x 1))))
(if (<=.f64 y -10710713085907712) 1 (if (<=.f64 y 1461582951687895/18889465931478580854784) x 1))
x
Compiler

Compiled 269 to 178 computations (33.8% saved)

soundness218.0ms (5%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 199 to 145 computations (27.1% saved)

end109.0ms (2.5%)

Compiler

Compiled 249 to 142 computations (43% saved)

Profiling

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