Details

Time bar (total: 3.7s)

analyze75.0ms (2%)

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)

sample886.0ms (24%)

Results
873.0ms8256×body64valid

preprocess88.0ms (2.4%)

Algorithm
2×egg-herbie
Rules
916×fma-neg_binary64
666×div-sub_binary64
486×times-frac_binary64
250×distribute-rgt-in_binary64
239×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12420
23720
36420
413120
526420
653720
7155720
8344820
9472420
10512220
11515420
12517820
13518020
14528020
15531220
16531220
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 9 to 6 computations (33.3% saved)

simplify38.0ms (1%)

Algorithm
1×egg-herbie
Rules
538×fma-neg_binary64
369×fma-def_binary64
316×div-sub_binary64
272×times-frac_binary64
116×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11510
22210
33710
47010
512010
622710
744610
8106810
9219810
10283310
11311610
12312610
13312610
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))
(/.f64 (-.f64 y x) (-.f64 y 1))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 34 to 22 computations (35.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite106.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
725×prod-diff_binary64
608×unpow-prod-down_binary64
417×log-prod_binary64
258×egg-rr
238×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116010
2241910
Stop Event
1×node limit
Counts
1 → 258
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
Outputs
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y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2) (cbrt.f64 (/.f64 x (-.f64 1 y))) (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) (sqrt.f64 (/.f64 x (-.f64 1 y))) (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 y)) (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 y)) (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) -2) (/.f64 x (cbrt.f64 (-.f64 1 y))) (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 y))) (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 y))) (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 1 y) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 y))) (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 y))) (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 y))) (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)) (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) 1))))))

simplify42.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
593×times-frac_binary64
471×associate--l+_binary64
363×fma-def_binary64
338×associate--l-_binary64
307×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061466
1205409
2742358
33292337
Stop Event
1×node limit
Counts
282 → 280
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
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)))
Outputs
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(neg.f64 (/.f64 y (-.f64 1 y)))
(/.f64 (neg.f64 y) (-.f64 1 y))
(/.f64 y (-.f64 -1 (neg.f64 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
x
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) x)
(fma.f64 (neg.f64 y) (-.f64 1 x) x)
(fma.f64 y (+.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))
(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) (neg.f64 (*.f64 y y)))))
(+.f64 x (*.f64 (fma.f64 x (neg.f64 y) y) (-.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 x (*.f64 (-.f64 1 x) (pow.f64 y 3))) (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (neg.f64 (*.f64 y y)))))
(+.f64 x (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (*.f64 y (-.f64 (neg.f64 y) (*.f64 y y))))))
(+.f64 x (*.f64 (-.f64 y (*.f64 y x)) (-.f64 (-.f64 -1 y) (*.f64 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 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 (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))))
(+.f64 (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 x) y)) (/.f64 (/.f64 (+.f64 -1 x) y) y))
(+.f64 1 (*.f64 (/.f64 (+.f64 -1 x) 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 (+.f64 (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 1 (*.f64 y y)))) (-.f64 (/.f64 1 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 y) (+.f64 (+.f64 (-.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (-.f64 1 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 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 (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))))
(+.f64 (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 x) y)) (/.f64 (/.f64 (+.f64 -1 x) y) y))
(+.f64 1 (*.f64 (/.f64 (+.f64 -1 x) 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 (fma.f64 -1 (/.f64 (+.f64 x -1) y) (neg.f64 (/.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 -1 x) y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 y))))

prune909.0ms (24.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2782280
Fresh000
Picked101
Done000
Total2792281
Error
0b
Counts
281 → 2
Alt Table
StatusErrorProgram
▶0.0b
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
1.9b
(fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))
Compiler

Compiled 11197 to 7505 computations (33% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite41.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
217177
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (-.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2) (cbrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) (sqrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 x (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 y))))))))

simplify31.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
738×associate-/l*_binary64
572×fma-def_binary64
411×distribute-lft-out_binary64
356×associate-*r/_binary64
307×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030205
195192
2270177
3901159
43727153
Stop Event
1×node limit
Counts
45 → 48
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x))
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x)))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
Outputs
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x))
(fma.f64 y x (fma.f64 (*.f64 y y) x x))
(*.f64 x (+.f64 y (fma.f64 y y 1)))
(fma.f64 x (+.f64 y (*.f64 y y)) x)
(fma.f64 x (fma.f64 y y y) x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x)))
(fma.f64 y x (fma.f64 (*.f64 y y) x (fma.f64 (pow.f64 y 3) x x)))
(fma.f64 x y (fma.f64 x (*.f64 y y) (fma.f64 x (pow.f64 y 3) x)))
(fma.f64 x 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)))
(*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (/.f64 x (pow.f64 y 3)))
(*.f64 (/.f64 x y) (+.f64 (/.f64 -1 (*.f64 y y)) (+.f64 -1 (/.f64 -1 y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 -1 (*.f64 y y))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (+.f64 -1 (/.f64 -1 y)))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (/.f64 x (pow.f64 y 3)))
(*.f64 (/.f64 x y) (+.f64 (/.f64 -1 (*.f64 y y)) (+.f64 -1 (/.f64 -1 y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 -1 (*.f64 y y))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (+.f64 -1 (/.f64 -1 y)))

prune62.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New48048
Fresh011
Picked011
Done000
Total48250
Error
0b
Counts
50 → 2
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
▶1.9b
(fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))
Compiler

Compiled 848 to 560 computations (34% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))
✓3.6b
(/.f64 x (-.f64 1 (*.f64 y y)))

series8.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite136.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
963×prod-diff_binary64
413×fma-def_binary64
261×egg-rr
230×log-div_binary64
221×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01235
127529
2402527
Stop Event
1×node limit
Counts
2 → 296
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 (*.f64 y y)))
(fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (*.f64 y y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) 2) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y y))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y y))) 2)) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 y y)))) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 y y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 y 6))) (+.f64 1 (fma.f64 y y (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 y 4))) (fma.f64 y y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 1 (*.f64 y y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 y y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (*.f64 y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) 1))))))
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egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 1 (-.f64 1 y))) 3) (pow.f64 (/.f64 y (-.f64 1 y)) 3)) (fma.f64 (*.f64 x (/.f64 1 (-.f64 1 y))) (*.f64 x (/.f64 1 (-.f64 1 y))) (-.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 2) (*.f64 (*.f64 x (/.f64 1 (-.f64 1 y))) (/.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x (/.f64 1 (-.f64 1 y))) (*.f64 x (/.f64 1 (-.f64 1 y))) (pow.f64 (/.f64 y (-.f64 1 y)) 2)) (fma.f64 x (/.f64 1 (-.f64 1 y)) (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (/.f64 y (-.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (/.f64 y (-.f64 1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (/.f64 y (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (/.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 x (/.f64 1 (-.f64 1 y)))) (exp.f64 (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 x (/.f64 1 (-.f64 1 y)))) (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 y (-.f64 1 y))) (exp.f64 (*.f64 x (/.f64 1 (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 y)))) (exp.f64 (*.f64 x (/.f64 1 (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (/.f64 1 (-.f64 1 y)))) (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (/.f64 y (-.f64 1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) 1))))))

simplify54.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
731×fma-neg_binary64
478×associate-/r*_binary64
432×associate-/l*_binary64
389×fma-def_binary64
359×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
088942
1261907
2831837
33372828
Stop Event
1×node limit
Counts
344 → 340
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
x
(+.f64 (*.f64 (pow.f64 y 2) x) x)
(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 4) x) x))
(+.f64 (*.f64 (pow.f64 y 6) x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 4) x) x)))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6)))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 8))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6))))))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6)))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 8))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6))))))
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x)
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2))))
x
(+.f64 (*.f64 y (-.f64 x 1)) x)
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) 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 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x 1) y)))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))))
Outputs
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
x
(+.f64 (*.f64 (pow.f64 y 2) x) x)
(fma.f64 (*.f64 y y) x x)
(*.f64 x (fma.f64 y y 1))
(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 4) x) x))
(fma.f64 (*.f64 y y) x (fma.f64 (pow.f64 y 4) x x))
(fma.f64 x (*.f64 y y) (fma.f64 x (pow.f64 y 4) x))
(fma.f64 x (fma.f64 y y (pow.f64 y 4)) x)
(+.f64 (*.f64 (pow.f64 y 6) x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 4) x) x)))
(fma.f64 (pow.f64 y 6) x (fma.f64 (*.f64 y y) x (fma.f64 (pow.f64 y 4) x x)))
(fma.f64 x (pow.f64 y 6) (fma.f64 x (*.f64 y y) (fma.f64 x (pow.f64 y 4) x)))
(fma.f64 x (pow.f64 y 6) (fma.f64 x (fma.f64 y y (pow.f64 y 4)) x))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(*.f64 -1 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (neg.f64 x) (pow.f64 y 4)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 4)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 6)))))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 6))) (/.f64 x (pow.f64 y 4)))
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 6))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 8))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6))))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 8)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 6))))))
(-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 6))) (/.f64 x (pow.f64 y 8))) (/.f64 x (pow.f64 y 4)))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 6))) (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 8))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 y 8)) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 6))))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(*.f64 -1 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (neg.f64 x) (pow.f64 y 4)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 4)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 6)))))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 6))) (/.f64 x (pow.f64 y 4)))
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 6))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 8))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6))))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 8)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 6))))))
(-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 6))) (/.f64 x (pow.f64 y 8))) (/.f64 x (pow.f64 y 4)))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 6))) (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 8))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 y 8)) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 6))))
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(neg.f64 (/.f64 y (-.f64 1 y)))
(/.f64 (neg.f64 y) (-.f64 1 y))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(fma.f64 (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) x (neg.f64 (/.f64 y (-.f64 1 y))))
(fma.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) (/.f64 (neg.f64 y) (-.f64 1 y)))
(-.f64 (fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(fma.f64 (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) x (neg.f64 (/.f64 y (-.f64 1 y))))
(fma.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) (/.f64 (neg.f64 y) (-.f64 1 y)))
(-.f64 (fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(fma.f64 (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) x (neg.f64 (/.f64 y (-.f64 1 y))))
(fma.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) (/.f64 (neg.f64 y) (-.f64 1 y)))
(-.f64 (fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 y (-.f64 1 y)))
(*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x)
(*.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))))
(fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y))))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(fma.f64 (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) x (neg.f64 (/.f64 y (-.f64 1 y))))
(fma.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) (/.f64 (neg.f64 y) (-.f64 1 y)))
(-.f64 (fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(fma.f64 (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) x (neg.f64 (/.f64 y (-.f64 1 y))))
(fma.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) (/.f64 (neg.f64 y) (-.f64 1 y)))
(-.f64 (fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(fma.f64 (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) x (neg.f64 (/.f64 y (-.f64 1 y))))
(fma.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) (/.f64 (neg.f64 y) (-.f64 1 y)))
(-.f64 (fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 y (-.f64 1 y)))
(/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 1 y) (/.f64 (-.f64 1 (*.f64 y y)) x))
(/.f64 x (/.f64 (-.f64 1 (*.f64 y y)) (+.f64 1 y)))
(/.f64 (fma.f64 x y x) (-.f64 1 (*.f64 y y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (-.f64 1 y)) (/.f64 (+.f64 1 y) (/.f64 (-.f64 1 (*.f64 y y)) x)))
(-.f64 (/.f64 x (/.f64 (-.f64 1 (*.f64 y y)) (+.f64 1 y))) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 (fma.f64 x y x) (-.f64 1 (*.f64 y y))) (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (-.f64 1 y)) (/.f64 (+.f64 1 y) (/.f64 (-.f64 1 (*.f64 y y)) x)))
(-.f64 (/.f64 x (/.f64 (-.f64 1 (*.f64 y y)) (+.f64 1 y))) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 (fma.f64 x y x) (-.f64 1 (*.f64 y y))) (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (-.f64 1 y)) (/.f64 (+.f64 1 y) (/.f64 (-.f64 1 (*.f64 y y)) x)))
(-.f64 (/.f64 x (/.f64 (-.f64 1 (*.f64 y y)) (+.f64 1 y))) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 (fma.f64 x y x) (-.f64 1 (*.f64 y y))) (/.f64 y (-.f64 1 y)))
x
(+.f64 (*.f64 y (-.f64 x 1)) x)
(fma.f64 y (+.f64 x -1) x)
(-.f64 (fma.f64 x y x) y)
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x))
(fma.f64 y (+.f64 x -1) (fma.f64 (*.f64 y y) (+.f64 x -1) x))
(+.f64 x (*.f64 (+.f64 x -1) (+.f64 y (*.f64 y y))))
(fma.f64 (+.f64 x -1) (+.f64 y (*.f64 y y)) x)
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x)))
(fma.f64 (pow.f64 y 3) (+.f64 x -1) (fma.f64 y (+.f64 x -1) (fma.f64 (*.f64 y y) (+.f64 x -1) x)))
(+.f64 (fma.f64 (*.f64 y y) (+.f64 x -1) x) (*.f64 (+.f64 x -1) (+.f64 (pow.f64 y 3) y)))
(+.f64 x (*.f64 (+.f64 x -1) (+.f64 (+.f64 y (pow.f64 y 3)) (*.f64 y y))))
(+.f64 x (*.f64 (-.f64 (*.f64 x y) y) (+.f64 (fma.f64 y y 1) y)))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (+.f64 (/.f64 1 y) 1) (neg.f64 (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(-.f64 1 (/.f64 (+.f64 x -1) 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)) (neg.f64 (/.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 1 (-.f64 (/.f64 (fma.f64 x -1 1) y) (/.f64 (+.f64 x -1) (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (/.f64 (/.f64 (-.f64 1 x) y) 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 (neg.f64 (/.f64 x y)) (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (+.f64 (-.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 3))) (+.f64 1 (/.f64 1 (*.f64 y y)))) (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x y)) (/.f64 x (*.f64 y y))))
(+.f64 (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x y)) (/.f64 (+.f64 x -1) (*.f64 y y))) (+.f64 1 (-.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 3)))))
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 (/.f64 (-.f64 1 x) y) y)) (/.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) (neg.f64 (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(-.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x 1) y)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.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 1 (-.f64 (/.f64 (fma.f64 x -1 1) y) (/.f64 (+.f64 x -1) (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (/.f64 (/.f64 (-.f64 1 x) y) y)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (fma.f64 -1 (/.f64 (+.f64 x -1) y) (neg.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)))))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (-.f64 (-.f64 (/.f64 (+.f64 (neg.f64 x) 1) y) (/.f64 x (*.f64 y y))) (/.f64 (+.f64 x -1) (pow.f64 y 3)))))
(+.f64 1 (-.f64 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) (/.f64 (+.f64 x -1) (*.f64 y y))))
(+.f64 1 (fma.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 (/.f64 (-.f64 1 x) y) y)))

prune1.2s (31.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3400340
Fresh000
Picked011
Done011
Total3402342
Error
0b
Counts
342 → 2
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
✓1.9b
(fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))
Compiler

Compiled 15819 to 10698 computations (32.4% saved)

regimes13.0ms (0.3%)

Accuracy

Total -1.9b remaining (-49408.3%)

Threshold costs -1.9b (-49408.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))
(/.f64 (-.f64 x y) (-.f64 1 y))
Outputs
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
Results
4.0ms0.0bx
3.0ms0.0by
3.0ms0.0b(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 52 to 34 computations (34.6% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11416
22216
32616
42816
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
Outputs
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

end16.0ms (0.4%)

Stop Event
1×done
Compiler

Compiled 26 to 18 computations (30.8% saved)

Profiling

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