Details

Time bar (total: 2.8s)

analyze109.0ms (3.9%)

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)

sample1.1s (39.7%)

Results
1.1s8256×body256valid

preprocess164.0ms (5.8%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

simplify77.0ms (2.7%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 9 to 6 computations (33.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite120.0ms (4.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116310
2250310
Stop Event
1×node limit
Counts
1 → 258
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) (+.f64 y -1))
Outputs
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(-.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))))))))

simplify53.0ms (1.9%)

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)))

eval200.0ms (7%)

Compiler

Compiled 11380 to 7813 computations (31.3% saved)

prune46.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2775282
Fresh000
Picked011
Done000
Total2776283
Error
0b
Counts
283 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶34.4b
(/.f64 (neg.f64 x) (+.f64 -1 y))
36.7b
1
▶34.6b
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
42.1b
x
✓0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
▶27.9b
(/.f64 y (-.f64 y 1))
Compiler

Compiled 43 to 32 computations (25.6% saved)

localize16.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiled 41 to 30 computations (26.8% saved)

series5.0ms (0.2%)

Counts
1 → 12
Calls

6 calls:

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

rewrite48.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
684×pow1_binary64
635×add-log-exp_binary64
634×log1p-expm1-u_binary64
634×expm1-log1p-u_binary64
622×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089
11627
221377
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(*.f64 y (+.f64 1 (*.f64 -1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 x x)) y) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))))))

simplify18.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
133×fma-def_binary64
90×fma-neg_binary64
22×cancel-sign-sub-inv_binary64
21×associate-*r*_binary64
17×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0794
11376
23076
34676
46476
512876
625376
735976
845776
953376
Stop Event
1×saturated
Counts
38 → 31
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
Outputs
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))

localize5.0ms (0.2%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 9 computations (43.8% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite55.0ms (1.9%)

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

Useful iterations: 1 (0.0ms)

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

simplify49.0ms (1.7%)

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)))

eval21.0ms (0.7%)

Compiler

Compiled 965 to 592 computations (38.7% saved)

prune18.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New82486
Fresh112
Picked011
Done123
Total84892
Error
0b
Counts
92 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶42.6b
(+.f64 (*.f64 y x) x)
✓34.4b
(/.f64 (neg.f64 x) (+.f64 -1 y))
36.7b
1
▶54.3b
(/.f64 (neg.f64 x) y)
42.1b
x
▶34.4b
(+.f64 (*.f64 -1 y) x)
✓0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
✓27.9b
(/.f64 y (-.f64 y 1))
Compiler

Compiled 50 to 35 computations (30% saved)

localize6.0ms (0.2%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

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)

rewrite53.0ms (1.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify17.0ms (0.6%)

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)

localize5.0ms (0.2%)

Compiler

Compiled 10 to 4 computations (60% saved)

eval8.0ms (0.3%)

Compiler

Compiled 468 to 182 computations (61.1% saved)

prune11.0ms (0.4%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New44145
Fresh022
Picked011
Done055
Total44953
Error
0b
Counts
53 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓42.6b
(+.f64 (*.f64 y x) x)
✓34.4b
(/.f64 (neg.f64 x) (+.f64 -1 y))
36.7b
1
▶62.1b
(*.f64 y x)
✓54.3b
(/.f64 (neg.f64 x) y)
42.1b
x
✓34.4b
(+.f64 (*.f64 -1 y) x)
✓0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
✓27.9b
(/.f64 y (-.f64 y 1))
Compiler

Compiled 55 to 38 computations (30.9% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done066
Total099
Error
0b
Counts
9 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓42.6b
(+.f64 (*.f64 y x) x)
✓34.4b
(/.f64 (neg.f64 x) (+.f64 -1 y))
36.7b
1
✓62.1b
(*.f64 y x)
✓54.3b
(/.f64 (neg.f64 x) y)
42.1b
x
✓34.4b
(+.f64 (*.f64 -1 y) x)
✓0.0b
(/.f64 (-.f64 y x) (+.f64 y -1))
✓27.9b
(/.f64 y (-.f64 y 1))
Compiler

Compiled 55 to 38 computations (30.9% saved)

regimes32.0ms (1.1%)

Counts
12 → 1
Calls
Call 1
Inputs
x
1
x
(*.f64 y x)
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 -1 y) x)
(/.f64 y (-.f64 y 1))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(/.f64 (-.f64 y x) (+.f64 y -1))
(/.f64 (-.f64 x y) (-.f64 1 y))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
Outputs
(/.f64 (-.f64 y x) (+.f64 y -1))
Calls

4 calls:

9.0ms
x
7.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
7.0ms
y
6.0ms
(/.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 82 to 48 computations (41.5% saved)

regimes41.0ms (1.4%)

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

2 calls:

22.0ms
x
17.0ms
y
Results
ErrorSegmentsBranch
12.5b3x
8.2b3y
Compiler

Compiled 39 to 20 computations (48.7% saved)

bsearch31.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
2.5846070520486804e-9
7.776450757301188e-9
15.0ms
-1.159794325888269
-1.4854196536059134e-18
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes41.0ms (1.5%)

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

2 calls:

25.0ms
x
15.0ms
y
Results
ErrorSegmentsBranch
26.2b5x
9.1b3y
Compiler

Compiled 28 to 14 computations (50% saved)

bsearch33.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
1.446802887978607e-8
198942715.52008694
16.0ms
-1.159794325888269
-1.4854196536059134e-18
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes29.0ms (1%)

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

2 calls:

14.0ms
y
14.0ms
x
Results
ErrorSegmentsBranch
28.4b3x
16.9b3y
Compiler

Compiled 23 to 11 computations (52.2% saved)

bsearch32.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
1.446802887978607e-8
198942715.52008694
16.0ms
-5.085991363690554e-54
-1.1383659975876949e-54
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes26.0ms (0.9%)

Accuracy

Total -46.2b remaining (-271.2%)

Threshold costs -46.2b (-271.2%)

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

2 calls:

13.0ms
y
12.0ms
x
Results
ErrorSegmentsBranch
28.4b3x
17.0b3y
Compiler

Compiled 18 to 10 computations (44.4% saved)

bsearch32.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
1.446802887978607e-8
198942715.52008694
16.0ms
-5.085991363690554e-54
-1.1383659975876949e-54
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify9.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
03199
14395
24895
35195
45395
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) (+.f64 y -1))
(if (<=.f64 y -652906161737103/562949953421312) (/.f64 y (-.f64 y 1)) (if (<=.f64 y 6249196397559403/2417851639229258349412352) (+.f64 (*.f64 -1 y) x) (/.f64 y (-.f64 y 1))))
(if (<=.f64 y -652906161737103/562949953421312) 1 (if (<=.f64 y 4372693417925875/302231454903657293676544) (+.f64 (*.f64 -1 y) x) 1))
(if (<=.f64 y -4387777789269955/862718293348820473429344482784628181556388621521298319395315527974912) 1 (if (<=.f64 y 4372693417925875/302231454903657293676544) (+.f64 (*.f64 y x) x) 1))
(if (<=.f64 y -4387777789269955/862718293348820473429344482784628181556388621521298319395315527974912) 1 (if (<=.f64 y 4372693417925875/302231454903657293676544) x 1))
x
Outputs
(/.f64 (-.f64 y x) (+.f64 y -1))
(if (<=.f64 y -652906161737103/562949953421312) (/.f64 y (-.f64 y 1)) (if (<=.f64 y 6249196397559403/2417851639229258349412352) (+.f64 (*.f64 -1 y) x) (/.f64 y (-.f64 y 1))))
(if (<=.f64 y -652906161737103/562949953421312) (/.f64 y (+.f64 y -1)) (if (<=.f64 y 6249196397559403/2417851639229258349412352) (+.f64 x (neg.f64 y)) (/.f64 y (+.f64 y -1))))
(if (<=.f64 y -652906161737103/562949953421312) (/.f64 y (+.f64 y -1)) (if (<=.f64 y 6249196397559403/2417851639229258349412352) (-.f64 x y) (/.f64 y (+.f64 y -1))))
(if (<=.f64 y -652906161737103/562949953421312) 1 (if (<=.f64 y 4372693417925875/302231454903657293676544) (+.f64 (*.f64 -1 y) x) 1))
(if (<=.f64 y -652906161737103/562949953421312) 1 (if (<=.f64 y 4372693417925875/302231454903657293676544) (+.f64 x (neg.f64 y)) 1))
(if (<=.f64 y -652906161737103/562949953421312) 1 (if (<=.f64 y 4372693417925875/302231454903657293676544) (-.f64 x y) 1))
(if (<=.f64 y -4387777789269955/862718293348820473429344482784628181556388621521298319395315527974912) 1 (if (<=.f64 y 4372693417925875/302231454903657293676544) (+.f64 (*.f64 y x) x) 1))
(if (<=.f64 y -4387777789269955/862718293348820473429344482784628181556388621521298319395315527974912) 1 (if (<=.f64 y 4372693417925875/302231454903657293676544) (+.f64 x (*.f64 y x)) 1))
(if (<=.f64 y -4387777789269955/862718293348820473429344482784628181556388621521298319395315527974912) 1 (if (<=.f64 y 4372693417925875/302231454903657293676544) x 1))
x
Compiler

Compiled 80 to 56 computations (30% saved)

soundness203.0ms (7.2%)

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)

end61.0ms (2.1%)

Compiler

Compiled 70 to 45 computations (35.7% saved)

Profiling

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