Details

Time bar (total: 5.4s)

analyze69.0ms (1.3%)

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

Compiled 10 to 7 computations (30% saved)

sample1.0s (18.5%)

Results
992.0ms8256×body256valid

preprocess168.0ms (3.1%)

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)

simplify85.0ms (1.6%)

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 (0.1%)

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))

rewrite126.0ms (2.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify57.0ms (1.1%)

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)))

eval191.0ms (3.5%)

Compiler

Compiled 11380 to 7813 computations (31.3% saved)

prune45.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2757282
Fresh000
Picked011
Done000
Total2758283
Error
0b
Counts
283 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶12.4b
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))
▶31.0b
(+.f64 1 (/.f64 (-.f64 1 x) y))
▶33.0b
(/.f64 (neg.f64 x) (+.f64 -1 y))
38.2b
1
✓0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
▶0.1b
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x))
▶29.5b
(/.f64 y (-.f64 y 1))
41.1b
x
Compiler

Compiled 107 to 79 computations (26.2% 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))

rewrite78.0ms (1.4%)

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))))))

simplify59.0ms (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))

rewrite54.0ms (1%)

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))))))))

simplify60.0ms (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))

rewrite58.0ms (1.1%)

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))))))))

simplify48.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series3.0ms (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)
0.0ms
y
@0
(/.f64 (-.f64 1 x) y)
0.0ms
y
@-inf
(/.f64 (-.f64 1 x) y)
0.0ms
x
@inf
(/.f64 (-.f64 1 x) y)

rewrite58.0ms (1.1%)

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)))))))

simplify29.0ms (0.5%)

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)

localize29.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))
0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
✓1.1b
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series16.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))
2.0ms
y
@0
(log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))
2.0ms
x
@0
(log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))
2.0ms
x
@inf
(log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))
1.0ms
y
@inf
(log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))

rewrite135.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
855×prod-diff_binary64
467×log-prod_binary64
279×pow-prod-down_binary64
270×fma-def_binary64
254×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
118422
2271122
Stop Event
1×node limit
Counts
2 → 274
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))
(log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))
Outputs
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3) (pow.f64 (+.f64 y -1) 3)))))) (#(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 (/.f64 (-.f64 y x) (+.f64 y -1)) 1) -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 (/.f64 (-.f64 y x) (+.f64 y -1)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1)) -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 (/.f64 (-.f64 y x) (+.f64 y -1)) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1)) -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 (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 (pow.f64 (+.f64 y -1) -1/2) (/.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))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 2) (/.f64 (-.f64 y x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 2))) (log.f64 (-.f64 1 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 1))))))

simplify70.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
672×associate-*l*_binary64
549×associate-/r*_binary64
547×associate-/l*_binary64
473×distribute-rgt-in_binary64
466×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01961580
16521491
225221430
Stop Event
1×node limit
Counts
322 → 342
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))))
(log.f64 (+.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) (+.f64 1 x))) (log.f64 (+.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) (+.f64 1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (pow.f64 (+.f64 1 x) 2))) (*.f64 -2 (/.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 1 x)))))) (log.f64 (+.f64 1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -6 (/.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 1 x))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 3) (pow.f64 (+.f64 1 x) 3))) (*.f64 -6 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (pow.f64 (+.f64 1 x) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) (+.f64 1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (pow.f64 (+.f64 1 x) 2))) (*.f64 -2 (/.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 1 x)))))) (log.f64 (+.f64 1 x)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 x)) y)) (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 x)) y)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (*.f64 1/6 (/.f64 (+.f64 (*.f64 3 (+.f64 1 (*.f64 -1 x))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 1 (*.f64 -1 x)) 3)) (*.f64 -3/2 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 3))))))
(log.f64 2)
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 x 1) y)) (log.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 x 1) y)) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (*.f64 -1/4 (pow.f64 (-.f64 x 1) 2))) x) (pow.f64 y 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -3/2 (*.f64 (-.f64 x 1) (-.f64 1 x))) (+.f64 (*.f64 1/4 (pow.f64 (-.f64 x 1) 3)) (*.f64 3 (-.f64 x 1)))) (pow.f64 y 3))) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (*.f64 -1/4 (pow.f64 (-.f64 x 1) 2))) x) (pow.f64 y 2))))))
(log.f64 (+.f64 1 (/.f64 y (-.f64 y 1))))
(+.f64 (log.f64 (+.f64 1 (/.f64 y (-.f64 y 1)))) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)))))
(+.f64 (log.f64 (+.f64 1 (/.f64 y (-.f64 y 1)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)))) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))))))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3)))) (+.f64 (log.f64 (+.f64 1 (/.f64 y (-.f64 y 1)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)))) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)))))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)) (log.f64 (/.f64 1 (-.f64 y 1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)) (log.f64 (/.f64 1 (-.f64 y 1))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 y 1)))))))
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)))
(+.f64 x (*.f64 y (+.f64 x -1)))
(+.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) (*.f64 (neg.f64 y) y))))
(+.f64 x (*.f64 (*.f64 y (-.f64 1 x)) (-.f64 -1 y)))
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(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 3) (pow.f64 (+.f64 y -1) 3))) (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 2) (pow.f64 (+.f64 y -1) 2))) (/.f64 (neg.f64 x) (*.f64 (+.f64 y -1) (+.f64 1 (/.f64 y (+.f64 y -1))))))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 3) (pow.f64 (+.f64 -1 y) 3))) (-.f64 (+.f64 (log1p.f64 (/.f64 y (+.f64 -1 y))) (/.f64 (/.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (+.f64 -1 y) 2)) (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 2))) (/.f64 x (*.f64 (+.f64 -1 y) (+.f64 1 (/.f64 y (+.f64 -1 y)))))))
(fma.f64 -1/3 (/.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3) (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 3)) (+.f64 (log1p.f64 (/.f64 y (+.f64 -1 y))) (fma.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (/.f64 (*.f64 x x) (pow.f64 (+.f64 -1 y) 2)) (/.f64 (neg.f64 x) (*.f64 (+.f64 -1 y) (+.f64 1 (/.f64 y (+.f64 -1 y))))))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 y -1))) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (log.f64 x))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 y -1))) (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (/.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) (/.f64 x (+.f64 y -1))))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (-.f64 (log.f64 x) (*.f64 (/.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 y -1))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2))) (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (/.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) (/.f64 x (+.f64 y -1)))))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 -1 y) 2))) (log.f64 x)) (*.f64 (/.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (-.f64 (log.f64 x) (*.f64 (/.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y)))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3)))))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 y -1))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2))) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) (/.f64 x (+.f64 y -1))) (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3))))))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 -1/3 (pow.f64 (+.f64 -1 y) 3)) (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 3)) (pow.f64 x 3)) (*.f64 (/.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 -1 y) 2))) (log.f64 x))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (-.f64 (log.f64 x) (*.f64 (/.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y)))) (*.f64 (/.f64 -1/3 (pow.f64 (/.f64 x (+.f64 -1 y)) 3)) (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 3))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (+.f64 y -1))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 (+.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)) (log.f64 (/.f64 1 (-.f64 y 1)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) (/.f64 x (+.f64 y -1))) (neg.f64 (log.f64 (+.f64 y -1)))))
(-.f64 (-.f64 (neg.f64 (log.f64 (+.f64 -1 y))) (*.f64 (/.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 (+.f64 -1 y))) (*.f64 (/.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)) (log.f64 (/.f64 1 (-.f64 y 1))))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2))) (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) (/.f64 x (+.f64 y -1))) (neg.f64 (log.f64 (+.f64 y -1))))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 -1 y) 2))) (/.f64 (neg.f64 (+.f64 1 (/.f64 y (+.f64 -1 y)))) (/.f64 x (+.f64 -1 y)))) (log.f64 (+.f64 -1 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (*.f64 (/.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 1 (neg.f64 y)))) (log.f64 (+.f64 -1 y))) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 y 1)))))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2))) (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) (/.f64 x (+.f64 y -1))) (fma.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3))) (neg.f64 (log.f64 (+.f64 y -1)))))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 -1 y) 2))) (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 -1/3 (pow.f64 (+.f64 -1 y) 3)) (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 3)) (pow.f64 x 3)) (*.f64 (/.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y))) (log.f64 (+.f64 -1 y)))) (log.f64 (/.f64 -1 x)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (-.f64 (*.f64 (/.f64 -1/3 (pow.f64 (/.f64 x (+.f64 -1 y)) 3)) (pow.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) 3)) (+.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y)) (log.f64 (+.f64 -1 y))))) (log.f64 (/.f64 -1 x)))

eval526.0ms (9.7%)

Compiler

Compiled 28241 to 19511 computations (30.9% saved)

prune139.0ms (2.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New8918899
Fresh202
Picked101
Done325
Total89710907
Error
0b
Counts
907 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
41.1b
x
▶53.8b
(neg.f64 y)
▶33.0b
(*.f64 -1 (-.f64 y x))
▶29.5b
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 y 1))))
30.8b
(+.f64 1 (/.f64 (neg.f64 x) y))
38.2b
1
✓29.5b
(/.f64 y (-.f64 y 1))
▶41.3b
(+.f64 (*.f64 y x) x)
✓33.0b
(/.f64 (neg.f64 x) (+.f64 -1 y))
▶54.7b
(/.f64 (neg.f64 x) y)
Compiler

Compiled 103 to 74 computations (28.2% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 y (-.f64 y 1))
✓0.0b
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 y 1))))
✓0.0b
(log1p.f64 (/.f64 y (-.f64 y 1)))
Compiler

Compiled 25 to 17 computations (32% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(log1p.f64 (/.f64 y (-.f64 y 1)))
0.0ms
y
@inf
(log1p.f64 (/.f64 y (-.f64 y 1)))
0.0ms
y
@-inf
(log1p.f64 (/.f64 y (-.f64 y 1)))
0.0ms
y
@0
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 y 1))))
0.0ms
y
@-inf
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 y 1))))

rewrite56.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
684×pow1_binary64
639×add-log-exp_binary64
638×expm1-log1p-u_binary64
637×log1p-expm1-u_binary64
626×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
113016
2174016
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(log1p.f64 (/.f64 y (-.f64 y 1)))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 y 1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) -1)))) (#(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 /.f64 y (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 y -1) 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 (neg.f64 y) (+.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 y -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 y)) (neg.f64 (+.f64 (neg.f64 y) 1)))))) (#(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 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 3) 1) (+.f64 (*.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) (+.f64 1 (/.f64 y (+.f64 y -1)))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) (+.f64 1 (/.f64 y (+.f64 y -1)))) 1) (+.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 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 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 cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y -1) 3)))))) (#(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
782×fma-def_binary64
538×fma-neg_binary64
396×distribute-rgt-neg-in_binary64
390×distribute-rgt-out_binary64
353×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051320
1144312
2393304
31237292
45025292
Stop Event
1×node limit
Counts
85 → 89
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (*.f64 -3/2 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -3/2 (pow.f64 y 2)) (+.f64 (*.f64 -7/3 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (*.f64 -15/4 (pow.f64 y 4)) (+.f64 (*.f64 -3/2 (pow.f64 y 2)) (+.f64 (*.f64 -7/3 (pow.f64 y 3)) (*.f64 -1 y))))
(log.f64 2)
(+.f64 (*.f64 1/2 (/.f64 1 y)) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 3/8 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 7/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 3/8 (/.f64 1 (pow.f64 y 2))))))
(log.f64 2)
(+.f64 (*.f64 1/2 (/.f64 1 y)) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 3/8 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 7/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 3/8 (/.f64 1 (pow.f64 y 2))))))
(*.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 -3/2 (pow.f64 y 2)) (*.f64 -1 y))
(fma.f64 -3/2 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y (*.f64 y -3/2)) y)
(-.f64 (*.f64 -3/2 (*.f64 y y)) y)
(*.f64 y (fma.f64 y -3/2 -1))
(+.f64 (*.f64 -3/2 (pow.f64 y 2)) (+.f64 (*.f64 -7/3 (pow.f64 y 3)) (*.f64 -1 y)))
(fma.f64 -3/2 (*.f64 y y) (fma.f64 -7/3 (pow.f64 y 3) (neg.f64 y)))
(-.f64 (*.f64 (*.f64 y y) (+.f64 -3/2 (*.f64 y -7/3))) y)
(-.f64 (*.f64 y (*.f64 y (fma.f64 y -7/3 -3/2))) y)
(+.f64 (*.f64 -15/4 (pow.f64 y 4)) (+.f64 (*.f64 -3/2 (pow.f64 y 2)) (+.f64 (*.f64 -7/3 (pow.f64 y 3)) (*.f64 -1 y))))
(fma.f64 -15/4 (pow.f64 y 4) (fma.f64 -3/2 (*.f64 y y) (fma.f64 -7/3 (pow.f64 y 3) (neg.f64 y))))
(-.f64 (fma.f64 -15/4 (pow.f64 y 4) (*.f64 (*.f64 y y) (+.f64 -3/2 (*.f64 y -7/3)))) y)
(-.f64 (fma.f64 y (*.f64 y (fma.f64 y -7/3 -3/2)) (*.f64 -15/4 (pow.f64 y 4))) y)
(log.f64 2)
(+.f64 (*.f64 1/2 (/.f64 1 y)) (log.f64 2))
(+.f64 (log.f64 2) (/.f64 1/2 y))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 3/8 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/2 y) (/.f64 3/8 (*.f64 y y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 7/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 3/8 (/.f64 1 (pow.f64 y 2))))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 3/8 (*.f64 y y))) (/.f64 7/24 (pow.f64 y 3))))
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 7/24 (pow.f64 y 3)) (+.f64 (log.f64 2) (/.f64 3/8 (*.f64 y y)))))
(log.f64 2)
(+.f64 (*.f64 1/2 (/.f64 1 y)) (log.f64 2))
(+.f64 (log.f64 2) (/.f64 1/2 y))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 3/8 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/2 y) (/.f64 3/8 (*.f64 y y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 7/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 3/8 (/.f64 1 (pow.f64 y 2))))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 3/8 (*.f64 y y))) (/.f64 7/24 (pow.f64 y 3))))
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 7/24 (pow.f64 y 3)) (+.f64 (log.f64 2) (/.f64 3/8 (*.f64 y y)))))
(*.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 (neg.f64 (fma.f64 y y y)) (neg.f64 (pow.f64 y 3)))
(-.f64 (neg.f64 y) (*.f64 y (fma.f64 y y y)))
(*.f64 y (-.f64 -1 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (pow.f64 y 4)) (*.f64 -1 y))))
(fma.f64 -1 (*.f64 y y) (fma.f64 -1 (pow.f64 y 3) (fma.f64 -1 (pow.f64 y 4) (neg.f64 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 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 (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))))
(+.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 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 (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))))
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))

localize3.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize4.0ms (0.1%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize6.0ms (0.1%)

Compiler

Compiled 13 to 6 computations (53.8% 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
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)

rewrite52.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

simplify18.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

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

eval48.0ms (0.9%)

Compiler

Compiled 2021 to 1335 computations (33.9% saved)

prune29.0ms (0.5%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New1792181
Fresh123
Picked011
Done066
Total18011191
Error
0b
Counts
191 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
41.1b
x
✓53.8b
(neg.f64 y)
✓33.0b
(*.f64 -1 (-.f64 y x))
✓29.5b
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 y 1))))
▶30.8b
(+.f64 1 (/.f64 (neg.f64 x) y))
▶41.3b
(*.f64 (+.f64 y 1) x)
✓41.3b
(+.f64 (*.f64 y x) x)
38.2b
1
✓33.0b
(/.f64 (neg.f64 x) (+.f64 -1 y))
✓54.7b
(/.f64 (neg.f64 x) y)
✓29.5b
(/.f64 y (-.f64 y 1))
Compiler

Compiled 69 to 50 computations (27.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite48.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
595×pow1_binary64
552×log1p-expm1-u_binary64
552×expm1-log1p-u_binary64
551×add-log-exp_binary64
540×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11227
215267
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (+.f64 y 1) 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) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y -1))))) (#(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 y 1)))))) (#(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)))))))

simplify11.0ms (0.2%)

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
08114
116114
223114
329114
442114
546114
648114
Stop Event
1×saturated
Counts
43 → 24
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)
(*.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 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) 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)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)

localize7.0ms (0.1%)

Compiler

Compiled 17 to 7 computations (58.8% saved)

eval4.0ms (0.1%)

Compiler

Compiled 170 to 77 computations (54.7% saved)

prune9.0ms (0.2%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New24024
Fresh022
Picked011
Done088
Total241135
Error
0b
Counts
35 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
41.1b
x
✓53.8b
(neg.f64 y)
✓33.0b
(*.f64 -1 (-.f64 y x))
✓29.5b
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 y 1))))
✓30.8b
(+.f64 1 (/.f64 (neg.f64 x) y))
✓41.3b
(*.f64 (+.f64 y 1) x)
✓41.3b
(+.f64 (*.f64 y x) x)
38.2b
1
✓33.0b
(/.f64 (neg.f64 x) (+.f64 -1 y))
✓54.7b
(/.f64 (neg.f64 x) y)
✓29.5b
(/.f64 y (-.f64 y 1))
Compiler

Compiled 69 to 50 computations (27.5% saved)

regimes42.0ms (0.8%)

Counts
19 → 1
Calls
Call 1
Inputs
1
x
1
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
(*.f64 (+.f64 y 1) x)
(*.f64 -1 (-.f64 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 -1)) (-.f64 y x))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 y 1))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))
Outputs
(/.f64 (-.f64 y x) (+.f64 y -1))
Calls

4 calls:

10.0ms
x
10.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
10.0ms
y
8.0ms
(/.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 115 to 67 computations (41.7% saved)

regimes69.0ms (1.3%)

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

2 calls:

44.0ms
x
22.0ms
y
Results
ErrorSegmentsBranch
12.8b5x
1.4b3y
Compiler

Compiled 58 to 33 computations (43.1% saved)

bsearch33.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
0.15044040755828236
15.262566597531485
16.0ms
-255.1964126065428
-1.0909307420101489e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes66.0ms (1.2%)

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

2 calls:

42.0ms
x
21.0ms
y
Results
ErrorSegmentsBranch
12.8b5x
1.6b3y
Compiler

Compiled 51 to 28 computations (45.1% saved)

bsearch33.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
0.15044040755828236
15.262566597531485
16.0ms
-255.1964126065428
-1.0909307420101489e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes52.0ms (1%)

Counts
11 → 5
Calls
Call 1
Inputs
1
x
1
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
(*.f64 (+.f64 y 1) x)
(*.f64 -1 (-.f64 y x))
(+.f64 (*.f64 y x) x)
(/.f64 y (-.f64 y 1))
Outputs
(/.f64 y (-.f64 y 1))
(*.f64 -1 (-.f64 y x))
(/.f64 y (-.f64 y 1))
(/.f64 (neg.f64 x) y)
1
Calls

2 calls:

31.0ms
y
19.0ms
x
Results
ErrorSegmentsBranch
21.4b3x
7.5b5y
Compiler

Compiled 39 to 23 computations (41% saved)

bsearch67.0ms (1.2%)

Algorithm
4×binary-search
Steps
TimeLeftRight
17.0ms
4.4169319400216176e+163
2.1124098976842448e+165
16.0ms
4.744665186370317e+139
7.90196602691721e+140
18.0ms
0.15044040755828236
15.262566597531485
16.0ms
-1.0909307420101489e-5
-4.948499660690264e-9
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes69.0ms (1.3%)

Counts
10 → 5
Calls
Call 1
Inputs
1
x
1
1
x
(neg.f64 y)
(/.f64 (neg.f64 x) y)
(*.f64 (+.f64 y 1) x)
(*.f64 -1 (-.f64 y x))
(+.f64 (*.f64 y x) x)
Outputs
1
(*.f64 -1 (-.f64 y x))
1
(/.f64 (neg.f64 x) y)
1
Calls

2 calls:

39.0ms
x
28.0ms
y
Results
ErrorSegmentsBranch
26.5b7x
8.1b5y
Compiler

Compiled 34 to 20 computations (41.2% saved)

bsearch68.0ms (1.3%)

Algorithm
4×binary-search
Steps
TimeLeftRight
16.0ms
4.4169319400216176e+163
2.1124098976842448e+165
18.0ms
4.744665186370317e+139
7.90196602691721e+140
17.0ms
0.15044040755828236
15.262566597531485
17.0ms
-255.1964126065428
-1.0909307420101489e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes87.0ms (1.6%)

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

2 calls:

53.0ms
x
31.0ms
y
Results
ErrorSegmentsBranch
28.7b5x
14.5b6y
Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch277.0ms (5.1%)

Algorithm
5×binary-search
Steps
TimeLeftRight
165.0ms
4.4169319400216176e+163
2.1124098976842448e+165
18.0ms
4.744665186370317e+139
7.90196602691721e+140
49.0ms
0.15044040755828236
15.262566597531485
16.0ms
-1.5102941614680576e-52
-2.422058959936239e-53
29.0ms
-255.1964126065428
-1.0909307420101489e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes54.0ms (1%)

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

2 calls:

29.0ms
y
23.0ms
x
Results
ErrorSegmentsBranch
28.7b5x
14.7b6y
Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch114.0ms (2.1%)

Algorithm
5×binary-search
Steps
TimeLeftRight
35.0ms
4.4169319400216176e+163
2.1124098976842448e+165
26.0ms
4.744665186370317e+139
7.90196602691721e+140
17.0ms
0.15044040755828236
15.262566597531485
17.0ms
-1.5102941614680576e-52
-2.422058959936239e-53
18.0ms
-255.1964126065428
-1.0909307420101489e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes206.0ms (3.8%)

Counts
6 → 4
Calls
Call 1
Inputs
1
x
1
1
x
(neg.f64 y)
Outputs
1
(neg.f64 y)
x
1
Calls

2 calls:

159.0ms
y
45.0ms
x
Results
ErrorSegmentsBranch
28.7b5x
15.9b4y
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch93.0ms (1.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
27.0ms
0.15044040755828236
15.262566597531485
38.0ms
-1.5102941614680576e-52
-2.422058959936239e-53
27.0ms
-255.1964126065428
-1.0909307420101489e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes114.0ms (2.1%)

Accuracy

Total -44.2b remaining (-250.3%)

Threshold costs -44.2b (-250.3%)

Counts
5 → 3
Calls
Call 1
Inputs
1
x
1
1
x
Outputs
1
x
1
Calls

2 calls:

101.0ms
x
12.0ms
y
Results
ErrorSegmentsBranch
30.2b3x
17.7b3y
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch35.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
0.15044040755828236
15.262566597531485
17.0ms
-1.0909307420101489e-5
-4.948499660690264e-9
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify33.0ms (0.6%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
054306
173302
285302
3101294
4120294
5136294
6160294
7178294
8199294
9218294
10231294
11245294
12259294
13272294
14276294
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) (+.f64 y -1))
(if (<=.f64 y -8978925536883699/35184372088832) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 2775135696572194816/18446744073709551616) (*.f64 -1 (-.f64 y x)) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8978925536883699/35184372088832) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 2775135696572194816/18446744073709551616) (*.f64 -1 (-.f64 y x)) (+.f64 1 (/.f64 (neg.f64 x) y))))
(if (<=.f64 y -6439718464001049/590295810358705651712) (/.f64 y (-.f64 y 1)) (if (<=.f64 y 2775135696572194816/18446744073709551616) (*.f64 -1 (-.f64 y x)) (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) (/.f64 y (-.f64 y 1)) (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1))))
(if (<=.f64 y -8978925536883699/35184372088832) 1 (if (<=.f64 y 2775135696572194816/18446744073709551616) (*.f64 -1 (-.f64 y x)) (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) 1 (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1))))
(if (<=.f64 y -8978925536883699/35184372088832) 1 (if (<=.f64 y -4071745004488783/26959946667150639794667015087019630673637144422540572481103610249216) (neg.f64 y) (if (<=.f64 y 2775135696572194816/18446744073709551616) (*.f64 (+.f64 y 1) x) (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) 1 (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1)))))
(if (<=.f64 y -8978925536883699/35184372088832) 1 (if (<=.f64 y -4071745004488783/26959946667150639794667015087019630673637144422540572481103610249216) (neg.f64 y) (if (<=.f64 y 2775135696572194816/18446744073709551616) x (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) 1 (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1)))))
(if (<=.f64 y -8978925536883699/35184372088832) 1 (if (<=.f64 y -4071745004488783/26959946667150639794667015087019630673637144422540572481103610249216) (neg.f64 y) (if (<=.f64 y 2775135696572194816/18446744073709551616) x 1)))
(if (<=.f64 y -6439718464001049/590295810358705651712) 1 (if (<=.f64 y 2775135696572194816/18446744073709551616) x 1))
1
Outputs
(/.f64 (-.f64 y x) (+.f64 y -1))
(if (<=.f64 y -8978925536883699/35184372088832) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 2775135696572194816/18446744073709551616) (*.f64 -1 (-.f64 y x)) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8978925536883699/35184372088832) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 338761681710473/2251799813685248) (neg.f64 (-.f64 y x)) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8978925536883699/35184372088832) (+.f64 1 (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 338761681710473/2251799813685248) (-.f64 x y) (+.f64 1 (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8978925536883699/35184372088832) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 2775135696572194816/18446744073709551616) (*.f64 -1 (-.f64 y x)) (+.f64 1 (/.f64 (neg.f64 x) y))))
(if (<=.f64 y -8978925536883699/35184372088832) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 338761681710473/2251799813685248) (neg.f64 (-.f64 y x)) (+.f64 1 (/.f64 (neg.f64 x) y))))
(if (<=.f64 y -8978925536883699/35184372088832) (-.f64 1 (/.f64 x y)) (if (<=.f64 y 338761681710473/2251799813685248) (neg.f64 (-.f64 y x)) (-.f64 1 (/.f64 x y))))
(if (<=.f64 y -8978925536883699/35184372088832) (-.f64 1 (/.f64 x y)) (if (<=.f64 y 338761681710473/2251799813685248) (-.f64 x y) (-.f64 1 (/.f64 x y))))
(if (<=.f64 y -6439718464001049/590295810358705651712) (/.f64 y (-.f64 y 1)) (if (<=.f64 y 2775135696572194816/18446744073709551616) (*.f64 -1 (-.f64 y x)) (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) (/.f64 y (-.f64 y 1)) (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1))))
(if (<=.f64 y -6439718464001049/590295810358705651712) (/.f64 y (+.f64 y -1)) (if (<=.f64 y 338761681710473/2251799813685248) (neg.f64 (-.f64 y x)) (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) (/.f64 y (+.f64 y -1)) (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1))))
(if (<=.f64 y -6439718464001049/590295810358705651712) (/.f64 y (+.f64 y -1)) (if (<=.f64 y 338761681710473/2251799813685248) (-.f64 x y) (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) (/.f64 y (+.f64 y -1)) (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1))))
(if (<=.f64 y -8978925536883699/35184372088832) 1 (if (<=.f64 y 2775135696572194816/18446744073709551616) (*.f64 -1 (-.f64 y x)) (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) 1 (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1))))
(if (<=.f64 y -8978925536883699/35184372088832) 1 (if (<=.f64 y 338761681710473/2251799813685248) (neg.f64 (-.f64 y x)) (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) 1 (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1))))
(if (<=.f64 y -8978925536883699/35184372088832) 1 (if (<=.f64 y 338761681710473/2251799813685248) (-.f64 x y) (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) 1 (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1))))
(if (<=.f64 y -8978925536883699/35184372088832) 1 (if (<=.f64 y -4071745004488783/26959946667150639794667015087019630673637144422540572481103610249216) (neg.f64 y) (if (<=.f64 y 2775135696572194816/18446744073709551616) (*.f64 (+.f64 y 1) x) (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) 1 (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1)))))
(if (<=.f64 y -8978925536883699/35184372088832) 1 (if (<=.f64 y -4071745004488783/26959946667150639794667015087019630673637144422540572481103610249216) (neg.f64 y) (if (<=.f64 y 338761681710473/2251799813685248) (*.f64 x (+.f64 y 1)) (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) 1 (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1)))))
(if (<=.f64 y -8978925536883699/35184372088832) 1 (if (<=.f64 y -4071745004488783/26959946667150639794667015087019630673637144422540572481103610249216) (neg.f64 y) (if (<=.f64 y 2775135696572194816/18446744073709551616) x (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) 1 (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1)))))
(if (<=.f64 y -8978925536883699/35184372088832) 1 (if (<=.f64 y -4071745004488783/26959946667150639794667015087019630673637144422540572481103610249216) (neg.f64 y) (if (<=.f64 y 338761681710473/2251799813685248) x (if (<=.f64 y 47446651863703171959915740246185758658752016958084064484215314528448711141945496861921705385246836056680548203550564724862578172068546740224) 1 (if (<=.f64 y 44169319400216176135483929937919251168183633587076472351421305527116427311947614084543907953474808928466630318465289565870054880781598955048039137641046337396932608) (/.f64 (neg.f64 x) y) 1)))))
(if (<=.f64 y -8978925536883699/35184372088832) 1 (if (<=.f64 y -4071745004488783/26959946667150639794667015087019630673637144422540572481103610249216) (neg.f64 y) (if (<=.f64 y 2775135696572194816/18446744073709551616) x 1)))
(if (<=.f64 y -8978925536883699/35184372088832) 1 (if (<=.f64 y -4071745004488783/26959946667150639794667015087019630673637144422540572481103610249216) (neg.f64 y) (if (<=.f64 y 338761681710473/2251799813685248) x 1)))
(if (<=.f64 y -6439718464001049/590295810358705651712) 1 (if (<=.f64 y 2775135696572194816/18446744073709551616) x 1))
(if (<=.f64 y -6439718464001049/590295810358705651712) 1 (if (<=.f64 y 338761681710473/2251799813685248) x 1))
1
Compiler

Compiled 226 to 159 computations (29.6% saved)

soundness225.0ms (4.2%)

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)

end130.0ms (2.4%)

Compiler

Compiled 208 to 130 computations (37.5% saved)

Profiling

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