Details

Time bar (total: 3.7s)

analyze62.0ms (1.7%)

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)

sample808.0ms (22%)

Results
798.0ms8254×body256valid
0.0ms1×body1024valid
0.0ms1×body512valid

preprocess76.0ms (2.1%)

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 11 to 8 computations (27.3% saved)

simplify34.0ms (0.9%)

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))

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)

localize454.0ms (12.3%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series3.0ms (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))

rewrite109.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
698×prod-diff_binary64
622×unpow-prod-down_binary64
414×log-prod_binary64
258×egg-rr
244×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116310
2248110
Stop Event
1×node limit
Counts
1 → 258
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) (-.f64 y 1))
Outputs
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-1)) 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 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -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 (pow.f64 y 3) -1)) (+.f64 (fma.f64 y y 1) y) (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))))))))

simplify40.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
581×times-frac_binary64
470×associate--l+_binary64
361×fma-def_binary64
333×associate--l-_binary64
307×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061468
1204411
2742360
33284339
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 x -1) (+.f64 y (*.f64 y 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 x (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (-.f64 (neg.f64 (*.f64 y y)) (pow.f64 y 3)))))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 y (-.f64 -1 y)) (pow.f64 y 3))))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 (neg.f64 x) y)))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 (neg.f64 x) y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y))))
(+.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (/.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 (+.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 1 (+.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 1 x) y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2)))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 (neg.f64 x) y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y))))
(+.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (/.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 1 (*.f64 y y)) (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (pow.f64 y 3))))) (/.f64 x (*.f64 y y))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (+.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 1 x) (pow.f64 y 3))) (-.f64 1 (/.f64 x (*.f64 y y)))))
(+.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))))
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 y))))
(/.f64 y (-.f64 y 1))
(/.f64 y (+.f64 y -1))
(/.f64 y (+.f64 -1 y))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(/.f64 (neg.f64 x) (+.f64 y -1))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(+.f64 (/.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)))

eval186.0ms (5.1%)

Compiler

Compiled 11266 to 7701 computations (31.6% saved)

prune38.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2748282
Fresh000
Picked011
Done000
Total2749283
Error
0b
Counts
283 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.7b
(/.f64 (neg.f64 x) (+.f64 -1 y))
41.1b
1
✓0.0b
(/.f64 (-.f64 y x) (-.f64 y 1))
12.0b
(*.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) (+.f64 y 1))
▶32.1b
(+.f64 1 (/.f64 (-.f64 1 x) y))
▶31.8b
(fma.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)) x)
▶35.1b
(/.f64 y (-.f64 y 1))
37.4b
x
▶0.2b
(pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -1)
Compiler

Compiled 137 to 97 computations (29.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -1)
0.0b
(/.f64 (+.f64 y -1) (-.f64 y x))
✓0.0b
(/.f64 (+.f64 y -1) (-.f64 y x))
✓0.2b
(pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -1)
Compiler

Compiled 27 to 14 computations (48.1% saved)

series10.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

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

rewrite51.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
455×log-prod_binary64
449×prod-diff_binary64
286×pow-prod-down_binary64
254×pow2_binary64
233×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
118720
2271520
Stop Event
1×node limit
Counts
2 → 105
Calls
Call 1
Inputs
(pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -1)
(/.f64 (+.f64 y -1) (-.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 y x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (+.f64 y -1)) (/.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 y x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2) (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) -2) (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y -1) -1/2) (/.f64 (-.f64 y x) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) -2) (/.f64 (-.f64 y x) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y -1))) (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (neg.f64 y))) (neg.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y x) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y -1) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (/.f64 (+.f64 y -1) (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (+.f64 y -1) (sqrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 y x)) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 (+.f64 y -1) (fma.f64 y y (*.f64 x (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) (sqrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) -2) (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) 1) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 y -1)) (/.f64 1 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -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 log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (+.f64 y -1) (-.f64 y x)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) -1/2) 2))))) (#(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 +.f64 0 (/.f64 (+.f64 y -1) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 y -1) (-.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y -1) (-.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y -1) (/.f64 1 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 y -1) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) 2) (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (*.f64 (cbrt.f64 (+.f64 y -1)) (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) (sqrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y -1)) (*.f64 (sqrt.f64 (+.f64 y -1)) (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 y)) (/.f64 1 (neg.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 y x)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y -1)) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y -1)) 1) (/.f64 (sqrt.f64 (+.f64 y -1)) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) -2) (/.f64 (+.f64 y -1) (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y -1)) (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (/.f64 (sqrt.f64 (+.f64 y -1)) (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 y x) -1/2) (/.f64 (+.f64 y -1) (sqrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (sqrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (+.f64 y -1)) (sqrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y -1) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y -1) (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 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 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 (-.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y -1) (neg.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y -1) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 (-.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y -1) (-.f64 y x))))))))

simplify43.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
728×times-frac_binary64
521×associate-/l*_binary64
368×distribute-rgt-in_binary64
363×associate-/r*_binary64
318×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01911593
16751481
225751260
Stop Event
1×node limit
Counts
153 → 166
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (*.f64 y (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) (pow.f64 x 2)))) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 2) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) x)))) (+.f64 (*.f64 -1 (*.f64 y (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) (pow.f64 x 2)))) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 2) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) x)) x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (*.f64 (pow.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 2) (pow.f64 x 2)))))) (pow.f64 y 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 2) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) x)))) (+.f64 (*.f64 -1 (*.f64 y (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) (pow.f64 x 2)))) x)))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 x)) x)) (*.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (pow.f64 y 2))) (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 x)) x)) (*.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 x)) x)) (*.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 1 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) x)) (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2))))) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (*.f64 -1 (*.f64 (-.f64 1 x) x))) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (*.f64 -1 (*.f64 (-.f64 1 x) x))) (-.f64 1 x)) (pow.f64 y 3))) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1 x)) (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (*.f64 -1 (*.f64 (-.f64 1 x) x))) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (*.f64 (-.f64 1 x) x)) (pow.f64 y 3))))))))
(/.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 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1)) (*.f64 -1 (/.f64 (pow.f64 y 2) (-.f64 y 1)))) x)) (+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1)) (*.f64 -1 (/.f64 (pow.f64 y 2) (-.f64 y 1)))) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 3) (-.f64 y 1)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (-.f64 y 1))) (*.f64 -1 (*.f64 y (+.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1)) (*.f64 -1 (/.f64 (pow.f64 y 2) (-.f64 y 1)))))))) (pow.f64 x 2))) (+.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 -1 (/.f64 (pow.f64 y 2) (*.f64 (-.f64 y 1) x))) (+.f64 (/.f64 y (-.f64 y 1)) (+.f64 (/.f64 (pow.f64 y 2) (*.f64 (-.f64 y 1) x)) (*.f64 -1 (/.f64 x (-.f64 y 1))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (*.f64 (-.f64 y 1) x))) (+.f64 (/.f64 y (-.f64 y 1)) (+.f64 (/.f64 (pow.f64 y 2) (*.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 3) (-.f64 y 1)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (-.f64 y 1))) (*.f64 y (+.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1)) (*.f64 -1 (/.f64 (pow.f64 y 2) (-.f64 y 1))))))) (pow.f64 x 2))) (*.f64 -1 (/.f64 x (-.f64 y 1)))))))
(/.f64 1 x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (/.f64 1 x))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) x) (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (pow.f64 x 2)) (+.f64 (*.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) x) (/.f64 1 x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 1 x)) (pow.f64 y 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 1 x)) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1 x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 1 x) y)))))
(/.f64 (-.f64 y 1) y)
(-.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 y 1) x) (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 y 1) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 1 (/.f64 (*.f64 (-.f64 y 1) x) (pow.f64 y 2)))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 y 1) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 y 1) x) (pow.f64 y 2)) (/.f64 (*.f64 (-.f64 y 1) (pow.f64 x 3)) (pow.f64 y 4))))) (/.f64 1 y))
(*.f64 -1 (/.f64 (-.f64 y 1) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 y 1)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3))))))
(*.f64 -1 (/.f64 (-.f64 y 1) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 y 1)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3))))))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 y (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) (pow.f64 x 2)))) x)
(fma.f64 -1 (*.f64 y (*.f64 (*.f64 x x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))) x)
(-.f64 x (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (*.f64 y (*.f64 x x))))
(-.f64 x (*.f64 y (+.f64 1 (/.f64 (*.f64 x (neg.f64 x)) x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 2) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) x)))) (+.f64 (*.f64 -1 (*.f64 y (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) (pow.f64 x 2)))) x))
(fma.f64 -1 (*.f64 (*.f64 y y) (fma.f64 -1 (*.f64 (pow.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) 2) (pow.f64 x 3)) (*.f64 x (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))) (fma.f64 -1 (*.f64 y (*.f64 (*.f64 x x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))) x))
(-.f64 (-.f64 x (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (fma.f64 x (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (*.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) 2) (neg.f64 (pow.f64 x 3)))))))
(-.f64 x (*.f64 y (+.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (-.f64 x (*.f64 (pow.f64 x 3) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))))) y) (+.f64 1 (/.f64 (*.f64 x (neg.f64 x)) x)))))
(+.f64 (*.f64 (-.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 2) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) x)) x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (*.f64 (pow.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 2) (pow.f64 x 2)))))) (pow.f64 y 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 2) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) x)))) (+.f64 (*.f64 -1 (*.f64 y (*.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) (pow.f64 x 2)))) x)))
(fma.f64 (-.f64 (/.f64 1 x) (fma.f64 -1 (*.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (*.f64 x (fma.f64 -1 (*.f64 (pow.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) 2) (pow.f64 x 3)) (*.f64 x (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))))) (+.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) 2)))))) (pow.f64 y 3) (fma.f64 -1 (*.f64 (*.f64 y y) (fma.f64 -1 (*.f64 (pow.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) 2) (pow.f64 x 3)) (*.f64 x (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))) (fma.f64 -1 (*.f64 y (*.f64 (*.f64 x x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))) x)))
(fma.f64 (-.f64 (/.f64 1 x) (-.f64 (-.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) 2))) (*.f64 (*.f64 x (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) (fma.f64 x (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (*.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) 2) (neg.f64 (pow.f64 x 3))))))) (pow.f64 y 3) (-.f64 (-.f64 x (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (fma.f64 x (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (*.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) 2) (neg.f64 (pow.f64 x 3))))))))
(fma.f64 (+.f64 (-.f64 (/.f64 1 x) (fma.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (*.f64 x (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (-.f64 x (*.f64 (pow.f64 x 3) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))))) (/.f64 1 (*.f64 x x)))) (*.f64 x (*.f64 x (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) 2)))) (pow.f64 y 3) (-.f64 x (*.f64 y (+.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (-.f64 x (*.f64 (pow.f64 x 3) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))))) y) (+.f64 1 (/.f64 (*.f64 x (neg.f64 x)) x))))))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 (neg.f64 x) y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 x)) x)) (*.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (pow.f64 y 2))) (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (*.f64 x (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2))) (*.f64 y y)) (+.f64 1 (/.f64 (neg.f64 x) y))))
(+.f64 (/.f64 (*.f64 1 (*.f64 (-.f64 1 x) (+.f64 x (-.f64 1 x)))) (*.f64 y y)) (+.f64 1 (/.f64 (-.f64 1 x) y)))
(+.f64 1 (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 (*.f64 (+.f64 x -1) (+.f64 (-.f64 1 x) x)) (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 x)) x)) (*.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 x)) x)) (*.f64 -1 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 1 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) x)) (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2))))) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))))
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (*.f64 x (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2))) (*.f64 y y)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (fma.f64 (*.f64 -1 (+.f64 (*.f64 x (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2))) (-.f64 1 x) (fma.f64 -1 (*.f64 x (pow.f64 (-.f64 1 x) 2)) (neg.f64 (*.f64 (*.f64 x x) (-.f64 1 x))))) (pow.f64 y 3)) (/.f64 x y))))))
(+.f64 (/.f64 1 y) (-.f64 (-.f64 (-.f64 1 (/.f64 (fma.f64 (-.f64 1 x) (neg.f64 (*.f64 (-.f64 1 x) (+.f64 x (-.f64 1 x)))) (neg.f64 (fma.f64 x (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 x x) (-.f64 1 x))))) (pow.f64 y 3))) (/.f64 x y)) (/.f64 (neg.f64 (*.f64 (-.f64 1 x) (+.f64 x (-.f64 1 x)))) (*.f64 y y))))
(+.f64 (/.f64 1 y) (-.f64 (-.f64 (-.f64 1 (/.f64 x y)) (/.f64 (*.f64 (+.f64 x -1) (+.f64 (-.f64 1 x) x)) (*.f64 y y))) (/.f64 (fma.f64 (-.f64 1 x) (*.f64 (+.f64 x -1) (+.f64 (-.f64 1 x) x)) (*.f64 x (*.f64 (+.f64 x -1) (+.f64 (-.f64 1 x) 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 1 (/.f64 (-.f64 1 x) y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (*.f64 -1 (*.f64 (-.f64 1 x) x))) (pow.f64 y 2)))))
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (*.f64 x (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2))) (*.f64 y y)) (+.f64 1 (/.f64 (neg.f64 x) y))))
(+.f64 (/.f64 (*.f64 1 (*.f64 (-.f64 1 x) (+.f64 x (-.f64 1 x)))) (*.f64 y y)) (+.f64 1 (/.f64 (-.f64 1 x) y)))
(+.f64 1 (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 (*.f64 (+.f64 x -1) (+.f64 (-.f64 1 x) x)) (*.f64 y y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (*.f64 -1 (*.f64 (-.f64 1 x) x))) (-.f64 1 x)) (pow.f64 y 3))) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1 x)) (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (*.f64 -1 (*.f64 (-.f64 1 x) x))) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (*.f64 (-.f64 1 x) x)) (pow.f64 y 3))))))))
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 x -1) (-.f64 1 x) (neg.f64 (*.f64 x (-.f64 1 x)))) (/.f64 (pow.f64 y 3) (-.f64 1 x))) (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 -1 (/.f64 (+.f64 x -1) y) (*.f64 -1 (+.f64 (/.f64 (fma.f64 (+.f64 x -1) (-.f64 1 x) (neg.f64 (*.f64 x (-.f64 1 x)))) (*.f64 y y)) (/.f64 (+.f64 x -1) (/.f64 (pow.f64 y 3) (*.f64 x (-.f64 1 x))))))))))
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) (*.f64 x (-.f64 1 x))) (*.f64 y y))) (/.f64 (*.f64 x (pow.f64 (-.f64 1 x) 2)) (pow.f64 y 3))) (+.f64 1 (*.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) (*.f64 x (-.f64 1 x))) (pow.f64 y 3)) (-.f64 1 x)))
(+.f64 1 (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 x) (+.f64 x (-.f64 1 x))) (*.f64 y y)) (/.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (pow.f64 y 3) x))) (*.f64 (+.f64 (*.f64 (/.f64 x (*.f64 y y)) x) 1) (/.f64 (-.f64 1 x) y))) (/.f64 (*.f64 (*.f64 (+.f64 x -1) (+.f64 (-.f64 1 x) x)) (+.f64 x -1)) (pow.f64 y 3))))
(/.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 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1)) (*.f64 -1 (/.f64 (pow.f64 y 2) (-.f64 y 1)))) x)) (+.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 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1)) (*.f64 -1 (/.f64 (pow.f64 y 2) (-.f64 y 1)))) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 3) (-.f64 y 1)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (-.f64 y 1))) (*.f64 -1 (*.f64 y (+.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1)) (*.f64 -1 (/.f64 (pow.f64 y 2) (-.f64 y 1)))))))) (pow.f64 x 2))) (+.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)))
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(fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x (+.f64 y -1))) (+.f64 (/.f64 y (+.f64 y -1)) (+.f64 (/.f64 (neg.f64 x) (+.f64 y -1)) (/.f64 (*.f64 y y) (*.f64 x (+.f64 y -1))))))
(-.f64 (+.f64 (/.f64 y (+.f64 -1 y)) (-.f64 (*.f64 (/.f64 y (+.f64 -1 y)) (/.f64 y x)) (/.f64 x (+.f64 -1 y)))) (*.f64 (/.f64 y (+.f64 -1 y)) (/.f64 y x)))
(-.f64 (-.f64 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (+.f64 -1 y))) (/.f64 x (+.f64 -1 y))) (/.f64 y (*.f64 (+.f64 -1 y) (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (*.f64 (-.f64 y 1) x))) (+.f64 (/.f64 y (-.f64 y 1)) (+.f64 (/.f64 (pow.f64 y 2) (*.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 y 3) (-.f64 y 1)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (-.f64 y 1))) (*.f64 y (+.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1)) (*.f64 -1 (/.f64 (pow.f64 y 2) (-.f64 y 1))))))) (pow.f64 x 2))) (*.f64 -1 (/.f64 x (-.f64 y 1)))))))
(fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x (+.f64 y -1))) (+.f64 (/.f64 y (+.f64 y -1)) (+.f64 (/.f64 (neg.f64 x) (+.f64 y -1)) (/.f64 (*.f64 y y) (*.f64 x (+.f64 y -1))))))
(-.f64 (+.f64 (/.f64 y (+.f64 -1 y)) (-.f64 (*.f64 (/.f64 y (+.f64 -1 y)) (/.f64 y x)) (/.f64 x (+.f64 -1 y)))) (*.f64 (/.f64 y (+.f64 -1 y)) (/.f64 y x)))
(-.f64 (-.f64 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (+.f64 -1 y))) (/.f64 x (+.f64 -1 y))) (/.f64 y (*.f64 (+.f64 -1 y) (/.f64 x y))))
(/.f64 1 x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (/.f64 1 x))
(fma.f64 y (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 y (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 x))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) x) (/.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (/.f64 x (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))))
(+.f64 (/.f64 1 x) (fma.f64 y (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (*.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))))
(+.f64 (/.f64 1 x) (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 y (*.f64 (/.f64 y x) y))))
(+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (pow.f64 x 2)) (+.f64 (*.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) x) (/.f64 1 x))))
(+.f64 (fma.f64 y (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (/.f64 x (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))))) (/.f64 (pow.f64 y 3) (/.f64 (*.f64 x x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 1 x) (fma.f64 y (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (*.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))))) (*.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 1 x) (*.f64 (*.f64 (/.f64 y x) y) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))) (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 1 x) y)))
(-.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))))
(+.f64 1 (fma.f64 -1 (/.f64 x (/.f64 (*.f64 y y) (-.f64 1 x))) (neg.f64 (/.f64 (-.f64 1 x) y))))
(-.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 1 x)))
(-.f64 1 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 (-.f64 1 x) y)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))))
(+.f64 1 (fma.f64 -1 (/.f64 (-.f64 1 x) (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 -1 (/.f64 x (/.f64 (*.f64 y y) (-.f64 1 x))) (neg.f64 (/.f64 (-.f64 1 x) y)))))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (*.f64 x x))) (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 1 x)))
(+.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x))) (/.f64 (+.f64 x -1) y))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 1 x) y)))
(-.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 1 x)) (pow.f64 y 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y))))
(+.f64 1 (fma.f64 -1 (/.f64 x (/.f64 (*.f64 y y) (-.f64 1 x))) (neg.f64 (/.f64 (-.f64 1 x) y))))
(-.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 1 x)))
(-.f64 1 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 (-.f64 1 x) y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 1 x)) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1 x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 1 x) y)))))
(+.f64 1 (fma.f64 -1 (/.f64 (-.f64 1 x) (/.f64 (pow.f64 y 3) (*.f64 x x))) (fma.f64 -1 (/.f64 x (/.f64 (*.f64 y y) (-.f64 1 x))) (neg.f64 (/.f64 (-.f64 1 x) y)))))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (*.f64 x x))) (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 1 x)))
(+.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (+.f64 (/.f64 (*.f64 x x) y) x))) (/.f64 (+.f64 x -1) y))
(/.f64 (-.f64 y 1) y)
(/.f64 (+.f64 y -1) y)
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 y 1) x) (pow.f64 y 2))) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 (+.f64 y -1) (/.f64 (*.f64 y y) x)) (/.f64 1 y)))
(+.f64 1 (+.f64 (*.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y))) (/.f64 -1 y)))
(*.f64 (+.f64 (/.f64 x y) 1) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 y 1) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 1 (/.f64 (*.f64 (-.f64 y 1) x) (pow.f64 y 2)))) (/.f64 1 y))
(+.f64 (/.f64 (+.f64 y -1) (/.f64 (pow.f64 y 3) (*.f64 x x))) (+.f64 1 (-.f64 (/.f64 (+.f64 y -1) (/.f64 (*.f64 y y) x)) (/.f64 1 y))))
(+.f64 (/.f64 (*.f64 x x) (/.f64 (pow.f64 y 3) (+.f64 -1 y))) (+.f64 1 (+.f64 (*.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y))) (/.f64 -1 y))))
(+.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 -1 y) (*.f64 y y)) (+.f64 x (/.f64 (*.f64 x x) y)))) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 y 1) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 y 1) x) (pow.f64 y 2)) (/.f64 (*.f64 (-.f64 y 1) (pow.f64 x 3)) (pow.f64 y 4))))) (/.f64 1 y))
(+.f64 (/.f64 (+.f64 y -1) (/.f64 (pow.f64 y 3) (*.f64 x x))) (-.f64 (+.f64 1 (+.f64 (/.f64 (+.f64 y -1) (/.f64 (*.f64 y y) x)) (/.f64 (+.f64 y -1) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))) (/.f64 1 y)))
(+.f64 (/.f64 (*.f64 x x) (/.f64 (pow.f64 y 3) (+.f64 -1 y))) (+.f64 (+.f64 (*.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y))) (+.f64 (*.f64 (/.f64 (+.f64 -1 y) (pow.f64 y 4)) (pow.f64 x 3)) 1)) (/.f64 -1 y)))
(+.f64 (+.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 -1 y) (*.f64 y y)) (+.f64 x (/.f64 (*.f64 x x) y)))) (*.f64 (/.f64 (+.f64 -1 y) (pow.f64 y 4)) (pow.f64 x 3))) (/.f64 -1 y))
(*.f64 -1 (/.f64 (-.f64 y 1) x))
(neg.f64 (/.f64 (+.f64 y -1) x))
(/.f64 (+.f64 (neg.f64 y) 1) x)
(/.f64 (+.f64 1 (neg.f64 y)) x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))))
(*.f64 -1 (+.f64 (/.f64 (+.f64 y -1) x) (/.f64 y (/.f64 (*.f64 x x) (+.f64 y -1)))))
(-.f64 (/.f64 (neg.f64 y) (/.f64 (*.f64 x x) (+.f64 -1 y))) (/.f64 (+.f64 -1 y) x))
(*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3)))))
(fma.f64 -1 (/.f64 (+.f64 y -1) x) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 y -1))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (+.f64 y -1))))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) (/.f64 (*.f64 x x) (+.f64 -1 y))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 -1 y))) (/.f64 (+.f64 -1 y) x))
(-.f64 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 -1 (/.f64 y x))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 y 1)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (+.f64 y -1) x) (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (+.f64 y -1))) (fma.f64 -1 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) (+.f64 y -1))) (neg.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (+.f64 y -1)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 y y)) (/.f64 (pow.f64 x 3) (+.f64 -1 y))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 -1 y))) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 y))) (/.f64 (+.f64 -1 y) x))
(-.f64 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 -1 (/.f64 y x))) (*.f64 (+.f64 -1 y) (+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (-.f64 y 1) x))
(neg.f64 (/.f64 (+.f64 y -1) x))
(/.f64 (+.f64 (neg.f64 y) 1) x)
(/.f64 (+.f64 1 (neg.f64 y)) x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))))
(*.f64 -1 (+.f64 (/.f64 (+.f64 y -1) x) (/.f64 y (/.f64 (*.f64 x x) (+.f64 y -1)))))
(-.f64 (/.f64 (neg.f64 y) (/.f64 (*.f64 x x) (+.f64 -1 y))) (/.f64 (+.f64 -1 y) x))
(*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3)))))
(fma.f64 -1 (/.f64 (+.f64 y -1) x) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 y -1))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (+.f64 y -1))))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) (/.f64 (*.f64 x x) (+.f64 -1 y))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 -1 y))) (/.f64 (+.f64 -1 y) x))
(-.f64 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 -1 (/.f64 y x))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y 1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 y 1)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y 1)) (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (+.f64 y -1) x) (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (+.f64 y -1))) (fma.f64 -1 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) (+.f64 y -1))) (neg.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (+.f64 y -1)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 y y)) (/.f64 (pow.f64 x 3) (+.f64 -1 y))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 -1 y))) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 y))) (/.f64 (+.f64 -1 y) x))
(-.f64 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 -1 (/.f64 y x))) (*.f64 (+.f64 -1 y) (+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite35.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
603×pow1_binary64
565×add-log-exp_binary64
564×log1p-expm1-u_binary64
564×expm1-log1p-u_binary64
554×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11117
215327
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 y (-.f64 y 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 2) (cbrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) (sqrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (+.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 y (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y -1))))))))

simplify37.0ms (1%)

Algorithm
1×egg-herbie
Rules
626×associate-/l/_binary64
621×associate-/r*_binary64
467×fma-neg_binary64
426×fma-def_binary64
327×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029152
185144
2237138
3774132
43236132
55553132
Stop Event
1×node limit
Counts
44 → 47
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (pow.f64 y 4)) (*.f64 -1 y))))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 -1 (+.f64 (*.f64 y y) y))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(fma.f64 -1 (*.f64 y y) (fma.f64 -1 (pow.f64 y 3) (neg.f64 y)))
(-.f64 (-.f64 (neg.f64 y) (pow.f64 y 3)) (*.f64 y y))
(-.f64 (neg.f64 y) (*.f64 y (fma.f64 y y y)))
(*.f64 y (-.f64 -1 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (pow.f64 y 4)) (*.f64 -1 y))))
(fma.f64 -1 (*.f64 y y) (fma.f64 -1 (pow.f64 y 3) (fma.f64 -1 (pow.f64 y 4) (neg.f64 y))))
(+.f64 (-.f64 (neg.f64 (pow.f64 y 3)) (pow.f64 y 4)) (neg.f64 (fma.f64 y y y)))
(-.f64 (*.f64 (pow.f64 y 3) (-.f64 -1 y)) (fma.f64 y y y))
(*.f64 (-.f64 -1 y) (+.f64 y (pow.f64 y 3)))
(*.f64 (+.f64 y (pow.f64 y 3)) (-.f64 -1 y))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (+.f64 1 (/.f64 1 (pow.f64 y 3))) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (+.f64 1 (/.f64 1 (pow.f64 y 3))) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite37.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11547
222237
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 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 (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) 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 (+.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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 -1 y))))))))

simplify31.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
754×associate-/l*_binary64
557×fma-def_binary64
411×distribute-lft-out_binary64
363×associate-*r/_binary64
314×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034313
1105300
2283285
3923267
43749261
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)))
(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 (fma.f64 y y (pow.f64 y 3)) (fma.f64 x y 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 -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 -1 (/.f64 -1 y))) (/.f64 x (pow.f64 y 3)))
(*.f64 (/.f64 x y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 y)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 -1 y)) (/.f64 (*.f64 y y) x)) (/.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)))))
(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 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (/.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 -1 (pow.f64 y 3)) (/.f64 -1 y)) (+.f64 x (/.f64 x 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 -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 -1 (/.f64 -1 y))) (/.f64 x (pow.f64 y 3)))
(*.f64 (/.f64 x y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 y)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 -1 y)) (/.f64 (*.f64 y y) x)) (/.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)))))
(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 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (/.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 -1 (pow.f64 y 3)) (/.f64 -1 y)) (+.f64 x (/.f64 x y)))

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series5.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite45.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
961×pow1_binary64
898×add-log-exp_binary64
898×log1p-expm1-u_binary64
898×expm1-log1p-u_binary64
83×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115817
2230817
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (-.f64 1 x) y))
(/.f64 (-.f64 1 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 y) (-.f64 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 1 x) y))) (/.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (-.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (/.f64 1 (-.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (/.f64 (-.f64 1 x) y))) (+.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (-.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (-.f64 1 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) y) 2))) (neg.f64 (-.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) 1) (-.f64 (/.f64 (-.f64 1 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))))))

simplify29.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
236×fma-neg_binary64
200×fma-def_binary64
62×cancel-sign-sub-inv_binary64
40×sub-neg_binary64
38×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015341
132287
247287
374287
4111287
5174287
6303287
7524287
8847287
91066287
101129287
111130287
Stop Event
1×saturated
Counts
103 → 78
Calls
Call 1
Inputs
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
Outputs
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.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 1 (*.f64 -1 (/.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 1 (*.f64 -1 (/.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 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.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 1 (*.f64 -1 (/.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 1 (*.f64 -1 (/.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 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.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 1 (*.f64 -1 (/.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 1 (*.f64 -1 (/.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 x) y)
(-.f64 (+.f64 (/.f64 1 y) 1) (/.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 y) 1) (/.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 y) 1) (/.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))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.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 y) 1) (/.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 y) 1) (/.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))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.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 y) 1) (/.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 y) 1) (/.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 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 27 to 17 computations (37% saved)

series4.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite46.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
571×unpow-prod-down_binary64
421×log-prod_binary64
319×exp-prod_binary64
290×prod-diff_binary64
276×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
118921
2241421
Stop Event
1×node limit
Counts
2 → 94
Calls
Call 1
Inputs
(fma.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)) x)
(*.f64 y (-.f64 -1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) 2) (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) (sqrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))) 2) 3) (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))) 2) (*.f64 x x)) (fma.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))) (sqrt.f64 (log.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 y)) y) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 y)) y) (-.f64 1 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 y)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 y)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 -1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 y 3)) y) (fma.f64 y (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) y) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 -1 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 y y))) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 -1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 -1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 -1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 -1 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 -1 y))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 -1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (-.f64 -1 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 -1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 -1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (-.f64 -1 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 y) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 y) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1 (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1 (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 y (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 y (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (neg.f64 (cbrt.f64 y)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 y)) 2) (cbrt.f64 (neg.f64 y)) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 y)) 2) (cbrt.f64 (neg.f64 y)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (neg.f64 y)))))))

simplify58.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
680×fma-def_binary64
476×sub-neg_binary64
418×unsub-neg_binary64
397×fma-neg_binary64
300×distribute-rgt-out--_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029541
187438
2251404
31004334
44264334
56178334
67188334
Stop Event
1×node limit
Counts
130 → 116
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x) (*.f64 -1 (*.f64 y (+.f64 1 y))))
(+.f64 (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x) (*.f64 -1 (*.f64 y (+.f64 1 y))))
(+.f64 (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x) (*.f64 -1 (*.f64 y (+.f64 1 y))))
(*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x)))
x
(+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(*.f64 -1 y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
Outputs
(*.f64 -1 (*.f64 y (+.f64 1 y)))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x) (*.f64 -1 (*.f64 y (+.f64 1 y))))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x) (*.f64 -1 (*.f64 y (+.f64 1 y))))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x) (*.f64 -1 (*.f64 y (+.f64 1 y))))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x)
(*.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x)
(*.f64 (+.f64 1 (fma.f64 y y y)) x)
(fma.f64 (fma.f64 y y y) x x)
(fma.f64 y (fma.f64 y x x) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x))
(*.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x)
(*.f64 (+.f64 1 (fma.f64 y y y)) x)
(fma.f64 (fma.f64 y y y) x x)
(fma.f64 y (fma.f64 y x x) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x)))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x)))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x)))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
x
(+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x)
(fma.f64 -1 (*.f64 y (-.f64 1 x)) x)
(-.f64 x (*.f64 y (-.f64 1 x)))
(fma.f64 y (+.f64 -1 x) x)
(-.f64 (fma.f64 y x x) y)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x)))
(*.f64 (neg.f64 (*.f64 y y)) (-.f64 1 x))
(*.f64 (-.f64 1 x) (*.f64 y (neg.f64 y)))
(*.f64 y (*.f64 y (neg.f64 (-.f64 1 x))))
(*.f64 y (-.f64 (*.f64 y x) y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 y (-.f64 1 x))))
(*.f64 -1 (+.f64 (*.f64 (-.f64 1 x) (*.f64 y y)) (*.f64 y (-.f64 1 x))))
(*.f64 (-.f64 1 x) (neg.f64 (fma.f64 y y y)))
(*.f64 (*.f64 y (-.f64 -1 y)) (-.f64 1 x))
(*.f64 (fma.f64 y y y) (+.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x)))
(*.f64 (neg.f64 (*.f64 y y)) (-.f64 1 x))
(*.f64 (-.f64 1 x) (*.f64 y (neg.f64 y)))
(*.f64 y (*.f64 y (neg.f64 (-.f64 1 x))))
(*.f64 y (-.f64 (*.f64 y x) y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 y (-.f64 1 x))))
(*.f64 -1 (+.f64 (*.f64 (-.f64 1 x) (*.f64 y y)) (*.f64 y (-.f64 1 x))))
(*.f64 (-.f64 1 x) (neg.f64 (fma.f64 y y y)))
(*.f64 (*.f64 y (-.f64 -1 y)) (-.f64 1 x))
(*.f64 (fma.f64 y y y) (+.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))

eval134.0ms (3.6%)

Compiler

Compiled 7133 to 4768 computations (33.2% saved)

prune59.0ms (1.6%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New4557462
Fresh213
Picked101
Done145
Total45912471
Error
0b
Counts
471 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.1b
(+.f64 1 (/.f64 (-.f64 1 x) y))
▶53.0b
(/.f64 (neg.f64 x) y)
29.8b
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x)))
✓27.7b
(/.f64 (neg.f64 x) (+.f64 -1 y))
✓35.1b
(/.f64 y (-.f64 y 1))
▶37.8b
(+.f64 (*.f64 y x) x)
▶56.4b
(neg.f64 y)
▶0.2b
(/.f64 1 (/.f64 (+.f64 y -1) (-.f64 y x)))
41.1b
1
▶56.7b
(*.f64 y (-.f64 -1 y))
37.4b
x
✓0.0b
(/.f64 (-.f64 y x) (-.f64 y 1))
Compiler

Compiled 143 to 97 computations (32.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 (+.f64 y -1) (-.f64 y x)))
0.0b
(/.f64 (+.f64 y -1) (-.f64 y x))
0.0b
(/.f64 (+.f64 y -1) (-.f64 y x))
✓0.2b
(/.f64 1 (/.f64 (+.f64 y -1) (-.f64 y x)))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite44.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
120010
2283910
Stop Event
1×node limit
Counts
1 → 58
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 y -1) (-.f64 y x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 y x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1 (+.f64 y -1))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 y -1)) y) (*.f64 (/.f64 1 (+.f64 y -1)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (+.f64 y -1)) (/.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 y x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (+.f64 1 (neg.f64 y)) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2) (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) -2) (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) -2) (/.f64 (-.f64 y x) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y -1) -1/2) (/.f64 (-.f64 y x) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y -1))) (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (neg.f64 y))) (neg.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 y -1)) 1) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (cbrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 y -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (+.f64 1 (neg.f64 y)) (-.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 y 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 -1) (-.f64 y x)) -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 log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y -1) (-.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (+.f64 y -1)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 y -1)) y (*.f64 (/.f64 1 (+.f64 y -1)) (neg.f64 x)))))))

simplify32.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
581×times-frac_binary64
470×associate--l+_binary64
361×fma-def_binary64
333×associate--l-_binary64
307×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061468
1204411
2742360
33284339
Stop Event
1×node limit
Counts
82 → 82
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 x -1) (+.f64 y (*.f64 y 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 x (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (-.f64 (neg.f64 (*.f64 y y)) (pow.f64 y 3)))))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 y (-.f64 -1 y)) (pow.f64 y 3))))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 (neg.f64 x) y)))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 (neg.f64 x) y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y))))
(+.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (/.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 (+.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 1 (+.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 1 x) y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2)))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 (neg.f64 x) y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y))))
(+.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (/.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 1 (*.f64 y y)) (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (pow.f64 y 3))))) (/.f64 x (*.f64 y y))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (+.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 1 x) (pow.f64 y 3))) (-.f64 1 (/.f64 x (*.f64 y y)))))
(+.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))))
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 y))))
(/.f64 y (-.f64 y 1))
(/.f64 y (+.f64 y -1))
(/.f64 y (+.f64 -1 y))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1))))
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1)))
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))
(*.f64 -1 (/.f64 x (-.f64 y 1)))
(/.f64 (neg.f64 x) (+.f64 y -1))
(/.f64 (neg.f64 x) (+.f64 -1 y))
(+.f64 (/.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)))

localize3.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize4.0ms (0.1%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 12 to 8 computations (33.3% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series4.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

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

rewrite36.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11125
216055
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 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 expm1.f64 (log1p.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)))))

simplify13.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01293
12793
25869
313969
423569
533369
639869
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)

eval65.0ms (1.8%)

Compiler

Compiled 3634 to 2197 computations (39.5% saved)

prune36.0ms (1%)

Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New2624266
Fresh213
Picked011
Done178
Total26513278
Error
0b
Counts
278 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.1b
(+.f64 1 (/.f64 (-.f64 1 x) y))
✓53.0b
(/.f64 (neg.f64 x) y)
▶37.5b
(/.f64 1 (/.f64 1 x))
✓27.7b
(/.f64 (neg.f64 x) (+.f64 -1 y))
✓35.1b
(/.f64 y (-.f64 y 1))
✓37.8b
(+.f64 (*.f64 y x) x)
▶27.8b
(/.f64 1 (/.f64 (+.f64 1 (neg.f64 y)) x))
✓0.0b
(/.f64 (-.f64 y x) (-.f64 y 1))
41.1b
1
▶35.1b
(/.f64 1 (+.f64 1 (/.f64 -1 y)))
✓56.7b
(*.f64 y (-.f64 -1 y))
✓56.4b
(neg.f64 y)
37.4b
x
Compiler

Compiled 89 to 67 computations (24.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 20 to 16 computations (20% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite41.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114817
2184917
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (/.f64 -1 y)))
(+.f64 1 (/.f64 -1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 -1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) -1/2) (pow.f64 (+.f64 1 (/.f64 -1 y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 -1 (pow.f64 y 3)))) (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (/.f64 1 (*.f64 y y)))) (-.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 -1 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (/.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 -1 y))) (/.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (sqrt.f64 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1 (pow.f64 y 3))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) (+.f64 1 (/.f64 -1 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 -1 y)) (-.f64 1 (/.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (pow.f64 (+.f64 1 (/.f64 -1 y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (/.f64 -1 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -1 (pow.f64 y 3))) (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -1 (pow.f64 y 3))) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 1 (*.f64 y y))) (-.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (/.f64 -1 (pow.f64 y 3)))) (neg.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (/.f64 1 (*.f64 y y)))) (neg.f64 (-.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (*.f64 y y)) 1) (-.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 y)) 2) (/.f64 -1 (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 y)) (sqrt.f64 (/.f64 -1 y)) 1)))))

simplify51.0ms (1.4%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
031221
189213
2245207
3791201
43248201
55627201
67694201
Stop Event
1×node limit
Counts
82 → 76
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (pow.f64 y 4)) (*.f64 -1 y))))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(/.f64 -1 y)
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
1
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
1
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(fma.f64 -1 (*.f64 y y) (neg.f64 y))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(fma.f64 -1 (*.f64 y y) (*.f64 -1 (+.f64 (pow.f64 y 3) y)))
(-.f64 (-.f64 (neg.f64 y) (pow.f64 y 3)) (*.f64 y y))
(-.f64 (neg.f64 y) (*.f64 y (fma.f64 y y y)))
(*.f64 y (-.f64 -1 (fma.f64 y y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (pow.f64 y 4)) (*.f64 -1 y))))
(fma.f64 -1 (*.f64 y y) (fma.f64 -1 (pow.f64 y 3) (*.f64 -1 (+.f64 (pow.f64 y 4) y))))
(+.f64 (-.f64 (neg.f64 (pow.f64 y 3)) (pow.f64 y 4)) (neg.f64 (fma.f64 y y y)))
(-.f64 (*.f64 (pow.f64 y 3) (-.f64 -1 y)) (fma.f64 y y y))
(*.f64 (-.f64 -1 y) (+.f64 y (pow.f64 y 3)))
(*.f64 (+.f64 y (pow.f64 y 3)) (-.f64 -1 y))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 1 (/.f64 (/.f64 1 y) y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 1 (/.f64 (/.f64 1 y) y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(/.f64 -1 y)
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.8b
(/.f64 1 (/.f64 (+.f64 1 (neg.f64 y)) x))
0.0b
(/.f64 (+.f64 1 (neg.f64 y)) x)
✓0.0b
(/.f64 (+.f64 1 (neg.f64 y)) x)
✓0.8b
(/.f64 1 (/.f64 (+.f64 1 (neg.f64 y)) x))
Compiler

Compiled 25 to 14 computations (44% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite42.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
833×pow1_binary64
776×add-log-exp_binary64
776×log1p-expm1-u_binary64
776×expm1-log1p-u_binary64
759×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
117714
2252114
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 1 (neg.f64 y)) x))
(/.f64 (+.f64 1 (neg.f64 y)) x)
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 1 (/.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 (/.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 (sqrt.f64 (/.f64 x (+.f64 1 y))) (sqrt.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 y)) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 y) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 y) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 y) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 y) x)) -1))))) (#(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)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.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 (sqrt.f64 x) (sqrt.f64 (+.f64 1 y))) (/.f64 (sqrt.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 *.f64 (/.f64 1 (+.f64 y -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 y)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 y) x) -1)))) (#(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 sqrt.f64 (pow.f64 (/.f64 (+.f64 1 y) x) -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 log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 1 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) (*.f64 (cbrt.f64 (+.f64 1 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 y) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 y) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 y)) (*.f64 (sqrt.f64 (+.f64 1 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 y) x)) (sqrt.f64 (/.f64 (+.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y -1) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 y)) 1) (/.f64 (sqrt.f64 (+.f64 1 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 y) x) 1)))) (#(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 (+.f64 1 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 y) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 y) x)))))))

simplify36.0ms (1%)

Algorithm
1×egg-herbie
Rules
765×associate-/l*_binary64
577×fma-def_binary64
411×distribute-lft-out_binary64
360×associate-*r/_binary64
319×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038557
1112439
2293424
3950406
43827400
Stop Event
1×node limit
Counts
118 → 92
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)))))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.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 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
Outputs
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) (+.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 y) (+.f64 x (/.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))))
(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 (*.f64 y y)) (+.f64 -1 (/.f64 -1 y))) (/.f64 x y))
(*.f64 (/.f64 -1 y) (+.f64 x (+.f64 (/.f64 x y) (/.f64 x (*.f64 y 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 y) (+.f64 x (/.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))))
(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 (*.f64 y y)) (+.f64 -1 (/.f64 -1 y))) (/.f64 x y))
(*.f64 (/.f64 -1 y) (+.f64 x (+.f64 (/.f64 x y) (/.f64 x (*.f64 y 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 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 x (-.f64 1 y))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 1 x))
✓0.2b
(/.f64 1 (/.f64 1 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite28.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
348×pow1_binary64
336×add-sqr-sqrt_binary64
328×*-un-lft-identity_binary64
323×add-log-exp_binary64
323×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
11051
29971
Stop Event
1×node limit
Counts
1 → 48
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5/2)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -3/2)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))))

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
60 → 49
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

eval51.0ms (1.4%)

Compiler

Compiled 2199 to 1611 computations (26.7% saved)

prune29.0ms (0.8%)

Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New2143217
Fresh022
Picked011
Done3710
Total21713230
Error
0b
Counts
230 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.1b
(+.f64 1 (/.f64 (-.f64 1 x) y))
✓53.0b
(/.f64 (neg.f64 x) y)
✓37.5b
(/.f64 1 (/.f64 1 x))
27.7b
(/.f64 x (-.f64 1 y))
53.0b
(/.f64 1 (/.f64 (neg.f64 y) x))
41.1b
1
62.1b
(neg.f64 x)
✓35.1b
(/.f64 1 (+.f64 1 (/.f64 -1 y)))
✓56.7b
(*.f64 y (-.f64 -1 y))
✓35.1b
(/.f64 y (-.f64 y 1))
✓56.4b
(neg.f64 y)
37.4b
x
✓0.0b
(/.f64 (-.f64 y x) (-.f64 y 1))
Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes17.0ms (0.5%)

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

2 calls:

8.0ms
y
7.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
Compiler

Compiled 65 to 41 computations (36.9% saved)

regimes53.0ms (1.4%)

Counts
10 → 3
Calls
Call 1
Inputs
x
1
(neg.f64 y)
(neg.f64 x)
(/.f64 (neg.f64 x) y)
(/.f64 y (-.f64 y 1))
(*.f64 y (-.f64 -1 y))
(/.f64 x (-.f64 1 y))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 (neg.f64 y) x))
Outputs
(/.f64 x (-.f64 1 y))
(/.f64 y (-.f64 y 1))
(/.f64 x (-.f64 1 y))
Calls

2 calls:

30.0ms
y
21.0ms
x
Results
ErrorSegmentsBranch
12.6b3x
13.1b5y
Compiler

Compiled 44 to 26 computations (40.9% saved)

bsearch31.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
1.9321132850578965e-62
7.740844917303986e-42
16.0ms
-0.22652031560864966
-7.194912779670812e-7
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes55.0ms (1.5%)

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

2 calls:

29.0ms
y
25.0ms
x
Results
ErrorSegmentsBranch
20.6b5x
13.2b7y
Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch91.0ms (2.5%)

Algorithm
6×binary-search
Steps
TimeLeftRight
16.0ms
3.068064643996948e-24
1.846204938879116e-20
15.0ms
-1.0792687319627692e-23
-7.764819225756093e-27
16.0ms
-260063922.78684554
-7158563.034633967
15.0ms
-3.1137826412351986e+36
-1.612950442489962e+36
15.0ms
-2.513010796666266e+76
-1.3077772368610257e+71
16.0ms
-6.338796297283814e+109
-1.1974759180959686e+106
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes48.0ms (1.3%)

Counts
5 → 7
Calls
Call 1
Inputs
x
1
(neg.f64 y)
(neg.f64 x)
(/.f64 (neg.f64 x) y)
Outputs
1
(/.f64 (neg.f64 x) y)
1
(/.f64 (neg.f64 x) y)
1
x
1
Calls

2 calls:

26.0ms
y
21.0ms
x
Results
ErrorSegmentsBranch
26.9b5x
14.7b7y
Compiler

Compiled 18 to 10 computations (44.4% saved)

bsearch92.0ms (2.5%)

Algorithm
6×binary-search
Steps
TimeLeftRight
15.0ms
0.18559351823731515
14832952.711691001
17.0ms
-7158563.034633967
-0.6613719410409429
15.0ms
-260063922.78684554
-7158563.034633967
16.0ms
-3.1137826412351986e+36
-1.612950442489962e+36
15.0ms
-2.513010796666266e+76
-1.3077772368610257e+71
15.0ms
-6.338796297283814e+109
-1.1974759180959686e+106
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes27.0ms (0.7%)

Accuracy

Total -46.2b remaining (-272.2%)

Threshold costs -46.2b (-272.2%)

Counts
4 → 3
Calls
Call 1
Inputs
x
1
(neg.f64 y)
(neg.f64 x)
Outputs
1
x
1
Calls

2 calls:

13.0ms
x
10.0ms
y
Results
ErrorSegmentsBranch
28.6b3x
17.0b3y
Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch47.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
0.18559351823731515
14832952.711691001
15.0ms
-7158563.034633967
-0.6613719410409429
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify6.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
047177
159177
268177
373177
475177
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) (-.f64 y 1))
(if (<=.f64 x -4080627235867847/18014398509481984) (/.f64 x (-.f64 1 y)) (if (<=.f64 x 2237234339200281/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 y (-.f64 y 1)) (/.f64 x (-.f64 1 y))))
(if (<=.f64 y -63387962972838138333618889309635118690553534462007823726211779532017263870055860976315054194317490096766451712) 1 (if (<=.f64 y -25130107966662659363558794168278534407645894011063619144227232330136443420672) (/.f64 (neg.f64 x) y) (if (<=.f64 y -3113782641235198633364177972384235520) 1 (if (<=.f64 y -8726297212804459/33554432) (/.f64 (neg.f64 x) y) (if (<=.f64 y -1836280593280255/170141183460469231731687303715884105728) (/.f64 y (-.f64 y 1)) (if (<=.f64 y 8352066391405823/2722258935367507707706996859454145691648) x (/.f64 y (-.f64 y 1))))))))
(if (<=.f64 y -63387962972838138333618889309635118690553534462007823726211779532017263870055860976315054194317490096766451712) 1 (if (<=.f64 y -25130107966662659363558794168278534407645894011063619144227232330136443420672) (/.f64 (neg.f64 x) y) (if (<=.f64 y -3113782641235198633364177972384235520) 1 (if (<=.f64 y -8726297212804459/33554432) (/.f64 (neg.f64 x) y) (if (<=.f64 y -7686448530026851/1073741824) 1 (if (<=.f64 y 6686711196607615/36028797018963968) x 1))))))
(if (<=.f64 y -7686448530026851/1073741824) 1 (if (<=.f64 y 6686711196607615/36028797018963968) x 1))
x
Outputs
(/.f64 (-.f64 y x) (-.f64 y 1))
(/.f64 (-.f64 y x) (+.f64 y -1))
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x

end147.0ms (4%)

Stop Event
1×fuel
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Compiled 262 to 170 computations (35.1% saved)

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