Details

Time bar (total: 9.3s)

analyze151.0ms (1.6%)

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
92.2%7.7%0.1%13
93.7%6.2%0.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample745.0ms (8%)

Results
732.0ms8256×body128valid

preprocess37.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
868×fma-neg_binary64
664×div-sub_binary64
422×times-frac_binary64
246×distribute-rgt-in_binary64
196×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12420
23720
36420
413120
526420
653720
7155720
8344820
9472420
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (-.f64 1 x))
Outputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (-.f64 1 x))
(/.f64 (-.f64 x y) (+.f64 x -1))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify36.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11510
22210
33710
47010
512010
622710
744610
8106810
9219810
10283310
11311610
12312610
13312610
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
Outputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (+.f64 y -1))
(/.f64 (-.f64 y x) (-.f64 y 1))

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 34 to 22 computations (35.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite95.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
725×prod-diff_binary64
238×fma-def_binary64
221×egg-rr
150×expm1-udef_binary64
149×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116010
2241910
Stop Event
1×node limit
Counts
1 → 221
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
Outputs
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simplify37.0ms (0.4%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
061466
1205409
2742358
33292352
Stop Event
1×node limit
Counts
245 → 243
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
x
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x)))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2)))
Outputs
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(neg.f64 (/.f64 y (-.f64 1 y)))
(/.f64 (neg.f64 y) (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
x
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) x)
(fma.f64 (neg.f64 y) (-.f64 1 x) x)
(fma.f64 y (+.f64 -1 x) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x))
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (*.f64 y y)) x))
(+.f64 x (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (neg.f64 (*.f64 y y)))))
(+.f64 x (*.f64 (fma.f64 x (neg.f64 y) y) (-.f64 -1 y)))
(fma.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x)))
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (*.f64 y y)) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (pow.f64 y 3)) x)))
(+.f64 (-.f64 x (*.f64 (-.f64 1 x) (pow.f64 y 3))) (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (neg.f64 (*.f64 y y)))))
(+.f64 x (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (*.f64 y (-.f64 (neg.f64 y) (*.f64 y y))))))
(+.f64 x (*.f64 (-.f64 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 (/.f64 1 y) 1) (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))))
(+.f64 (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 x) y)) (/.f64 (/.f64 (+.f64 -1 x) y) y))
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 x) y)) (/.f64 (-.f64 1 x) (*.f64 y y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y))))))))
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 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 (+.f64 (-.f64 1 (/.f64 (/.f64 (+.f64 -1 x) y) y)) (/.f64 1 (pow.f64 y 3))) (/.f64 (-.f64 1 x) y)) (/.f64 x (pow.f64 y 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(+.f64 (+.f64 (/.f64 1 y) 1) (/.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 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))))
(+.f64 (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 x) y)) (/.f64 (/.f64 (+.f64 -1 x) y) y))
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 x) y)) (/.f64 (-.f64 1 x) (*.f64 y y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (+.f64 x -1) y) (neg.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3))))) (/.f64 x (*.f64 y y))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 1 x) (pow.f64 y 3)))) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 x (*.f64 y y))))
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 x) y)) (+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))))
(+.f64 1 (+.f64 (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (+.f64 -1 x) y)) (/.f64 (-.f64 1 x) (*.f64 y y))))

prune681.0ms (7.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2403243
Fresh000
Picked011
Done000
Total2404244
Error
0b
Counts
244 → 4
Alt Table
StatusErrorProgram
17.1b
(+.f64 (fma.f64 1 (/.f64 x (-.f64 1 y)) (neg.f64 (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y)))))) (fma.f64 (neg.f64 (+.f64 y 1)) (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y))))))
15.4b
(+.f64 (fma.f64 1 (/.f64 x (-.f64 1 y)) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (-.f64 1 y)))) (/.f64 1 (sqrt.f64 (-.f64 1 y))) (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y))))))
▶2.2b
(fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))
✓0.0b
(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 11083 to 7516 computations (32.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 y (-.f64 1 y))
✓0.0b
(fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))
✓4.5b
(/.f64 x (-.f64 1 (*.f64 y y)))

series9.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite162.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
963×prod-diff_binary64
366×egg-rr
143×add-sqr-sqrt_binary64
139×*-un-lft-identity_binary64
139×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
127536
2402536
Stop Event
1×node limit
Counts
3 → 451
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 (*.f64 y y)))
(fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))
(/.f64 y (-.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (*.f64 y y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) 2) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y y))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y y))) 2)) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 y y)))) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 y y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 y 6))) (+.f64 (+.f64 1 (pow.f64 y 4)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 y 4))) (+.f64 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 1 (*.f64 y y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 y y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (*.f64 y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 (*.f64 y y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (*.f64 y y)))))))))
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simplify61.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
793×fma-neg_binary64
444×fma-def_binary64
414×associate-+l+_binary64
339×unsub-neg_binary64
334×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01021092
13031033
2983960
33821953
Stop Event
1×node limit
Counts
511 → 508
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
x
(+.f64 (*.f64 (pow.f64 y 2) x) x)
(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 4) x) x))
(+.f64 (*.f64 (pow.f64 y 6) x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 4) x) x)))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6)))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 8))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6))))))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6)))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 8))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6))))))
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x)
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2))))
x
(+.f64 (*.f64 y (-.f64 x 1)) x)
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x)))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x 1) y)))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))))
y
(+.f64 y (pow.f64 y 2))
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
Outputs
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
(/.f64 x (-.f64 1 (pow.f64 y 2)))
(/.f64 x (-.f64 1 (*.f64 y y)))
x
(+.f64 (*.f64 (pow.f64 y 2) x) x)
(fma.f64 (*.f64 y y) x x)
(*.f64 x (fma.f64 y y 1))
(fma.f64 y (*.f64 x y) x)
(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 4) x) x))
(fma.f64 (*.f64 y y) x (fma.f64 (pow.f64 y 4) x x))
(+.f64 x (*.f64 x (fma.f64 y y (pow.f64 y 4))))
(fma.f64 x (fma.f64 y y (pow.f64 y 4)) x)
(+.f64 (*.f64 (pow.f64 y 6) x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 4) x) x)))
(fma.f64 (pow.f64 y 6) x (fma.f64 (*.f64 y y) x (fma.f64 (pow.f64 y 4) x x)))
(fma.f64 x (pow.f64 y 6) (+.f64 x (*.f64 x (fma.f64 y y (pow.f64 y 4)))))
(fma.f64 x (pow.f64 y 6) (fma.f64 x (fma.f64 y y (pow.f64 y 4)) x))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 4)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 6)))))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 6))) (/.f64 x (pow.f64 y 4)))
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (+.f64 (/.f64 x (pow.f64 y 6)) (/.f64 x (pow.f64 y 4))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 8))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6))))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 8)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 6))))))
(-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 6))) (/.f64 x (pow.f64 y 8))) (/.f64 x (pow.f64 y 4)))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 6))) (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 8))))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 4)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 6)))))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 6))) (/.f64 x (pow.f64 y 4)))
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (+.f64 (/.f64 x (pow.f64 y 6)) (/.f64 x (pow.f64 y 4))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 8))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x (pow.f64 y 6))))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 8)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 6))))))
(-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 6))) (/.f64 x (pow.f64 y 8))) (/.f64 x (pow.f64 y 4)))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (pow.f64 y 6))) (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 8))))
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(neg.f64 (/.f64 y (-.f64 1 y)))
(/.f64 (neg.f64 y) (-.f64 1 y))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(fma.f64 (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) x (neg.f64 (/.f64 y (-.f64 1 y))))
(-.f64 (*.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y))))) (/.f64 y (-.f64 1 y)))
(-.f64 (fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(fma.f64 (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) x (neg.f64 (/.f64 y (-.f64 1 y))))
(-.f64 (*.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y))))) (/.f64 y (-.f64 1 y)))
(-.f64 (fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(fma.f64 (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) x (neg.f64 (/.f64 y (-.f64 1 y))))
(-.f64 (*.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y))))) (/.f64 y (-.f64 1 y)))
(-.f64 (fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 y (-.f64 1 y)))
(*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x)
(*.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))))
(fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y))))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(fma.f64 (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) x (neg.f64 (/.f64 y (-.f64 1 y))))
(-.f64 (*.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y))))) (/.f64 y (-.f64 1 y)))
(-.f64 (fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(fma.f64 (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) x (neg.f64 (/.f64 y (-.f64 1 y))))
(-.f64 (*.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y))))) (/.f64 y (-.f64 1 y)))
(-.f64 (fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 1 (pow.f64 y 2))) (/.f64 1 (-.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(fma.f64 (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y)))) x (neg.f64 (/.f64 y (-.f64 1 y))))
(-.f64 (*.f64 x (+.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 y y))))) (/.f64 y (-.f64 1 y)))
(-.f64 (fma.f64 x (/.f64 y (-.f64 1 (*.f64 y y))) (/.f64 x (-.f64 1 (*.f64 y y)))) (/.f64 y (-.f64 1 y)))
(/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 1 y) (/.f64 (-.f64 1 (*.f64 y y)) x))
(*.f64 (/.f64 (+.f64 1 y) (-.f64 1 (*.f64 y y))) x)
(/.f64 (fma.f64 x y x) (-.f64 1 (*.f64 y y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (-.f64 1 y)) (/.f64 (+.f64 1 y) (/.f64 (-.f64 1 (*.f64 y y)) x)))
(-.f64 (*.f64 (/.f64 (+.f64 1 y) (-.f64 1 (*.f64 y y))) x) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 (fma.f64 x y x) (-.f64 1 (*.f64 y y))) (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (-.f64 1 y)) (/.f64 (+.f64 1 y) (/.f64 (-.f64 1 (*.f64 y y)) x)))
(-.f64 (*.f64 (/.f64 (+.f64 1 y) (-.f64 1 (*.f64 y y))) x) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 (fma.f64 x y x) (-.f64 1 (*.f64 y y))) (/.f64 y (-.f64 1 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (-.f64 1 y)) (/.f64 (+.f64 1 y) (/.f64 (-.f64 1 (*.f64 y y)) x)))
(-.f64 (*.f64 (/.f64 (+.f64 1 y) (-.f64 1 (*.f64 y y))) x) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 (fma.f64 x y x) (-.f64 1 (*.f64 y y))) (/.f64 y (-.f64 1 y)))
x
(+.f64 (*.f64 y (-.f64 x 1)) x)
(fma.f64 y (+.f64 x -1) x)
(-.f64 (fma.f64 x y x) y)
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x))
(fma.f64 y (+.f64 x -1) (fma.f64 (*.f64 y y) (+.f64 x -1) x))
(+.f64 x (*.f64 (+.f64 x -1) (fma.f64 y y y)))
(fma.f64 (+.f64 x -1) (fma.f64 y y y) x)
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x)))
(fma.f64 (pow.f64 y 3) (+.f64 x -1) (fma.f64 y (+.f64 x -1) (fma.f64 (*.f64 y y) (+.f64 x -1) x)))
(fma.f64 (+.f64 x -1) (pow.f64 y 3) (+.f64 x (*.f64 (+.f64 x -1) (fma.f64 y y y))))
(+.f64 x (*.f64 (+.f64 x -1) (+.f64 (pow.f64 y 3) (fma.f64 y y y))))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (neg.f64 (/.f64 x y))))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(-.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y))))
(+.f64 1 (-.f64 (/.f64 (fma.f64 x -1 1) y) (/.f64 (+.f64 x -1) (*.f64 y y))))
(+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (-.f64 1 (/.f64 (+.f64 x -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 1 (*.f64 y y))) (fma.f64 -1 (/.f64 x (*.f64 y y)) (+.f64 (neg.f64 (/.f64 x y)) (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x y)) (/.f64 x (*.f64 y y))))) (/.f64 x (pow.f64 y 3))))
(+.f64 (+.f64 1 (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x y)) (/.f64 (+.f64 x -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)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(+.f64 (/.f64 1 y) (+.f64 1 (neg.f64 (/.f64 x y))))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(-.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x 1) y)))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y))))
(+.f64 1 (-.f64 (/.f64 (fma.f64 x -1 1) y) (/.f64 (+.f64 x -1) (*.f64 y y))))
(+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (-.f64 1 (/.f64 (+.f64 x -1) y)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (pow.f64 y 3)))))))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (+.f64 x -1)) y) (/.f64 x (*.f64 y y))) (/.f64 (+.f64 x -1) (pow.f64 y 3))) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 1 (-.f64 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) (/.f64 (+.f64 x -1) (*.f64 y y))))
(+.f64 1 (fma.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 (-.f64 1 x) (*.f64 y y))))
y
(+.f64 y (pow.f64 y 2))
(+.f64 y (*.f64 y y))
(fma.f64 y y y)
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 y (*.f64 y y)))
(+.f64 (pow.f64 y 3) (fma.f64 y y y))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
(+.f64 (pow.f64 y 3) (+.f64 (+.f64 y (*.f64 y y)) (pow.f64 y 4)))
(+.f64 y (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 3)))
(*.f64 (fma.f64 y y 1) (fma.f64 y y y))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(-.f64 -1 (/.f64 1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (+.f64 (/.f64 -1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) (/.f64 -1 (pow.f64 y 3)))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(-.f64 -1 (/.f64 1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (+.f64 (/.f64 -1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) (/.f64 -1 (pow.f64 y 3)))

prune2.3s (24.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New5080508
Fresh022
Picked011
Done011
Total5084512
Error
0b
Counts
512 → 4
Alt Table
StatusErrorProgram
17.1b
(+.f64 (fma.f64 1 (/.f64 x (-.f64 1 y)) (neg.f64 (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y)))))) (fma.f64 (neg.f64 (+.f64 y 1)) (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y))))))
▶15.4b
(+.f64 (fma.f64 1 (/.f64 x (-.f64 1 y)) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (-.f64 1 y)))) (/.f64 1 (sqrt.f64 (-.f64 1 y))) (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y))))))
✓2.2b
(fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))
✓0.0b
(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 21712 to 14616 computations (32.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (sqrt.f64 (-.f64 1 y)))
✓0.1b
(*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y))))
✓0.1b
(/.f64 y (sqrt.f64 (-.f64 1 y)))
✓21.0b
(fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (-.f64 1 y)))) (/.f64 1 (sqrt.f64 (-.f64 1 y))) (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y)))))

series14.0ms (0.1%)

Counts
4 → 26
Calls

12 calls:

TimeVariablePointExpression
4.0ms
y
@0
(fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (-.f64 1 y)))) (/.f64 1 (sqrt.f64 (-.f64 1 y))) (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y)))))
3.0ms
y
@-inf
(fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (-.f64 1 y)))) (/.f64 1 (sqrt.f64 (-.f64 1 y))) (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y)))))
3.0ms
y
@inf
(fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (-.f64 1 y)))) (/.f64 1 (sqrt.f64 (-.f64 1 y))) (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y)))))
1.0ms
y
@inf
(/.f64 y (sqrt.f64 (-.f64 1 y)))
1.0ms
y
@-inf
(/.f64 1 (sqrt.f64 (-.f64 1 y)))

rewrite56.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
486×log-prod_binary64
169×fma-def_binary64
164×expm1-udef_binary64
163×log-div_binary64
163×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01060
122039
2303139
Stop Event
1×node limit
Counts
4 → 165
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (-.f64 1 y)))) (/.f64 1 (sqrt.f64 (-.f64 1 y))) (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y)))))
(/.f64 y (sqrt.f64 (-.f64 1 y)))
(*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y))))
(/.f64 1 (sqrt.f64 (-.f64 1 y)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 1 y)))) (cbrt.f64 (exp.f64 (/.f64 y (-.f64 1 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 1 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 1 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 y (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (sqrt.f64 (-.f64 1 y)) (pow.f64 (-.f64 1 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (-.f64 1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) y) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sqrt.f64 (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 1 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (-.f64 1 y)) (/.f64 y (sqrt.f64 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (neg.f64 (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 y) -1/2) (/.f64 (sqrt.f64 (-.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (*.f64 y y) (-.f64 1 y))) (/.f64 (sqrt.f64 (-.f64 1 y)) (cbrt.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (-.f64 1 y)))) (/.f64 (sqrt.f64 (-.f64 1 y)) (sqrt.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 y))) (/.f64 (sqrt.f64 (-.f64 1 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) y) (neg.f64 (sqrt.f64 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (neg.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (*.f64 (sqrt.f64 (-.f64 1 y)) (neg.f64 (sqrt.f64 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 1) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 1) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) -1) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 y))) (neg.f64 (sqrt.f64 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) -1) (*.f64 (sqrt.f64 (-.f64 1 y)) (neg.f64 (sqrt.f64 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1) (*.f64 (sqrt.f64 (-.f64 1 y)) (neg.f64 (sqrt.f64 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 y)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 y))) (neg.f64 (sqrt.f64 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (pow.f64 (-.f64 1 y) 1/4)) (pow.f64 (-.f64 1 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (cbrt.f64 (pow.f64 (-.f64 1 y) 2))) (cbrt.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) 1) (sqrt.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (cbrt.f64 (-.f64 1 y))) (cbrt.f64 (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 y) -1/2) (neg.f64 y)) (neg.f64 (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 y)) 1)))) (#(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 neg.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 (exp.f64 (/.f64 y (-.f64 1 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 log.f64 (/.f64 1 (exp.f64 (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.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 cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) 3) (pow.f64 (-.f64 1 y) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) 3) (pow.f64 (pow.f64 (-.f64 1 y) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 y) -1/2) 3) (pow.f64 (/.f64 y (sqrt.f64 (-.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 expm1.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 1 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 y) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 y) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 y) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 y) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 y) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 y) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 1 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 y) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) -1/2)) (cbrt.f64 (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (-.f64 1 y))) (cbrt.f64 (pow.f64 (-.f64 1 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 1 y)) -1/2) (pow.f64 (sqrt.f64 (-.f64 1 y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 1 y) 1/4) -1) (pow.f64 (pow.f64 (-.f64 1 y) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 y) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 y) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (-.f64 1 y) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (-.f64 1 y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 1 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 y) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 y) -1/2)))))))

simplify38.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
741×fma-def_binary64
350×distribute-rgt-out_binary64
287×distribute-lft-out_binary64
215×associate-*l*_binary64
207×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048251
1125229
2356217
31087202
43043202
Stop Event
1×node limit
Counts
191 → 193
Calls
Call 1
Inputs
0
0
0
0
-1
-1
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (+.f64 (*.f64 3/8 (pow.f64 y 3)) (*.f64 1/2 (pow.f64 y 2))))
(+.f64 y (+.f64 (*.f64 3/8 (pow.f64 y 3)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 5/16 (pow.f64 y 4)))))
y
(+.f64 y (pow.f64 y 2))
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
1
(+.f64 1 (*.f64 1/2 y))
(+.f64 1 (+.f64 (*.f64 1/2 y) (*.f64 3/8 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/16 (pow.f64 y 3)) (+.f64 (*.f64 1/2 y) (*.f64 3/8 (pow.f64 y 2)))))
Outputs
0
0
0
0
-1
-1
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (*.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(*.f64 (fma.f64 y 1/2 1) y)
(*.f64 y (fma.f64 y 1/2 1))
(+.f64 y (+.f64 (*.f64 3/8 (pow.f64 y 3)) (*.f64 1/2 (pow.f64 y 2))))
(+.f64 y (fma.f64 3/8 (pow.f64 y 3) (*.f64 1/2 (*.f64 y y))))
(+.f64 y (fma.f64 1/2 (*.f64 y y) (*.f64 3/8 (pow.f64 y 3))))
(fma.f64 y (*.f64 y 1/2) (fma.f64 3/8 (pow.f64 y 3) y))
(*.f64 y (fma.f64 y (fma.f64 y 3/8 1/2) 1))
(+.f64 y (+.f64 (*.f64 3/8 (pow.f64 y 3)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 5/16 (pow.f64 y 4)))))
(+.f64 y (fma.f64 3/8 (pow.f64 y 3) (fma.f64 1/2 (*.f64 y y) (*.f64 5/16 (pow.f64 y 4)))))
(+.f64 y (fma.f64 5/16 (pow.f64 y 4) (*.f64 y (*.f64 y (+.f64 1/2 (*.f64 y 3/8))))))
(fma.f64 y (*.f64 y (fma.f64 y 3/8 1/2)) (fma.f64 5/16 (pow.f64 y 4) y))
(*.f64 y (fma.f64 y (fma.f64 y 3/8 1/2) (fma.f64 (pow.f64 y 3) 5/16 1)))
y
(+.f64 y (pow.f64 y 2))
(+.f64 y (*.f64 y y))
(fma.f64 y y y)
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (+.f64 (pow.f64 y 3) y) (*.f64 y y))
(+.f64 (pow.f64 y 3) (fma.f64 y y y))
(+.f64 y (fma.f64 y y (pow.f64 y 3)))
(fma.f64 y (fma.f64 y y y) y)
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
(+.f64 (+.f64 (pow.f64 y 3) y) (+.f64 (*.f64 y y) (pow.f64 y 4)))
(+.f64 y (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 3)))
(*.f64 (fma.f64 y y 1) (fma.f64 y y y))
(*.f64 (fma.f64 y y y) (fma.f64 y y 1))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(+.f64 -1 (/.f64 -1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y))))
(+.f64 (+.f64 -1 (/.f64 -1 y)) (/.f64 -1 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1 y) y) (+.f64 1 (/.f64 1 y)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (/.f64 -1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 -1 y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 (pow.f64 y 3))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (/.f64 -1 y)))
(+.f64 (+.f64 -1 (/.f64 -1 y)) (*.f64 (/.f64 1 (*.f64 y y)) (+.f64 -1 (/.f64 -1 y))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(+.f64 -1 (/.f64 -1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y))))
(+.f64 (+.f64 -1 (/.f64 -1 y)) (/.f64 -1 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1 y) y) (+.f64 1 (/.f64 1 y)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (/.f64 -1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 -1 y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 (pow.f64 y 3))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (/.f64 -1 y)))
(+.f64 (+.f64 -1 (/.f64 -1 y)) (*.f64 (/.f64 1 (*.f64 y y)) (+.f64 -1 (/.f64 -1 y))))
1
(+.f64 1 (*.f64 1/2 y))
(+.f64 1 (*.f64 y 1/2))
(fma.f64 y 1/2 1)
(+.f64 1 (+.f64 (*.f64 1/2 y) (*.f64 3/8 (pow.f64 y 2))))
(+.f64 1 (fma.f64 1/2 y (*.f64 (*.f64 y y) 3/8)))
(+.f64 1 (fma.f64 y 1/2 (*.f64 (*.f64 3/8 y) y)))
(fma.f64 y 1/2 (fma.f64 y (*.f64 y 3/8) 1))
(fma.f64 y (fma.f64 y 3/8 1/2) 1)
(+.f64 1 (+.f64 (*.f64 5/16 (pow.f64 y 3)) (+.f64 (*.f64 1/2 y) (*.f64 3/8 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/16 (pow.f64 y 3) (fma.f64 1/2 y (*.f64 (*.f64 y y) 3/8))))
(+.f64 1 (fma.f64 (pow.f64 y 3) 5/16 (fma.f64 y 1/2 (*.f64 (*.f64 3/8 y) y))))
(fma.f64 (pow.f64 y 3) 5/16 (fma.f64 y 1/2 (fma.f64 y (*.f64 y 3/8) 1)))
(fma.f64 y (fma.f64 y 3/8 1/2) (fma.f64 (pow.f64 y 3) 5/16 1))

prune3.1s (32.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4460446
Fresh011
Picked011
Done022
Total4464450
Error
0b
Counts
450 → 4
Alt Table
StatusErrorProgram
▶17.1b
(+.f64 (fma.f64 1 (/.f64 x (-.f64 1 y)) (neg.f64 (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y)))))) (fma.f64 (neg.f64 (+.f64 y 1)) (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y))))))
✓15.4b
(+.f64 (fma.f64 1 (/.f64 x (-.f64 1 y)) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (-.f64 1 y)))) (/.f64 1 (sqrt.f64 (-.f64 1 y))) (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y))))))
✓2.2b
(fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))
✓0.0b
(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 22857 to 17660 computations (22.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (-.f64 1 y))
✓0.1b
(*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y))))
✓18.2b
(/.f64 y (-.f64 1 (*.f64 y y)))
✓35.8b
(fma.f64 (neg.f64 (+.f64 y 1)) (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y)))))

series11.0ms (0.1%)

Counts
4 → 48
Calls

15 calls:

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

rewrite67.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
235×expm1-udef_binary64
235×log1p-udef_binary64
154×add-sqr-sqrt_binary64
150×*-un-lft-identity_binary64
150×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01367
129849
2441649
Stop Event
1×node limit
Counts
4 → 137
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (+.f64 y 1)) (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y)))))
(/.f64 y (-.f64 1 (*.f64 y y)))
(*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y))))
(/.f64 x (-.f64 1 y))
Outputs
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#<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 1 (-.f64 1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 1 (-.f64 1 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 1 (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y (/.f64 1 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 1 (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 1 (-.f64 1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y 1) 3) (pow.f64 (/.f64 y (-.f64 1 (*.f64 y y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y (-.f64 1 (*.f64 y y))) 3) (pow.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 1 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 1 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 1 (-.f64 1 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 1 (-.f64 1 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 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 x)) (*.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 (neg.f64 x) (/.f64 1 (-.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 (cbrt.f64 (*.f64 x x)) 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 (cbrt.f64 (*.f64 x x)) (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 (cbrt.f64 (*.f64 x x)) (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 (*.f64 y y))) (+.f64 y 1))))) (#(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 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 log.f64 (+.f64 1 (expm1.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 exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 y))))))))

simplify31.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
323×fma-neg_binary64
253×fma-def_binary64
169×sub-neg_binary64
161×times-frac_binary64
158×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071559
1207515
2623492
31893476
Stop Event
1×node limit
Counts
185 → 180
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
y
(+.f64 (pow.f64 y 3) y)
(+.f64 (pow.f64 y 3) (+.f64 (pow.f64 y 5) y))
(+.f64 (pow.f64 y 3) (+.f64 (pow.f64 y 5) (+.f64 y (pow.f64 y 7))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (/.f64 1 (pow.f64 y 5))))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (/.f64 1 (pow.f64 y 5))))))
y
(+.f64 y (pow.f64 y 2))
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
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
0
0
0
0
0
0
0
0
0
0
0
0
y
(+.f64 (pow.f64 y 3) y)
(+.f64 y (pow.f64 y 3))
(+.f64 (pow.f64 y 3) (+.f64 (pow.f64 y 5) y))
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 5)))
(+.f64 y (+.f64 (pow.f64 y 3) (pow.f64 y 5)))
(fma.f64 (fma.f64 y y 1) y (pow.f64 y 5))
(+.f64 (pow.f64 y 3) (+.f64 (pow.f64 y 5) (+.f64 y (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 5) (pow.f64 y 7))))
(+.f64 (pow.f64 y 7) (fma.f64 (fma.f64 y y 1) y (pow.f64 y 5)))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5)))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(+.f64 (/.f64 -1 (pow.f64 y 3)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 5))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (/.f64 1 (pow.f64 y 5))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7))))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1 (pow.f64 y 5)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 7)))))
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7)))))
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))) (-.f64 (/.f64 -1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5)))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(+.f64 (/.f64 -1 (pow.f64 y 3)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 5))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (/.f64 1 (pow.f64 y 5))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7))))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1 (pow.f64 y 5)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 7)))))
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7)))))
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))) (-.f64 (/.f64 -1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7))))
y
(+.f64 y (pow.f64 y 2))
(+.f64 y (*.f64 y y))
(fma.f64 y y y)
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 y (*.f64 y y)))
(+.f64 (pow.f64 y 3) (fma.f64 y y y))
(*.f64 y (+.f64 1 (fma.f64 y y y)))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (*.f64 y y) (pow.f64 y 4))))
(+.f64 y (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 3)))
(*.f64 (fma.f64 y y 1) (fma.f64 y y y))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(+.f64 -1 (/.f64 -1 y))
(-.f64 -1 (/.f64 1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 -1 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (-.f64 -1 (/.f64 1 (*.f64 y y))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (/.f64 -1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 -1 y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 (pow.f64 y 3))))
(+.f64 -1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(+.f64 -1 (/.f64 -1 y))
(-.f64 -1 (/.f64 1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 -1 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (-.f64 -1 (/.f64 1 (*.f64 y y))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (/.f64 -1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 -1 y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 (pow.f64 y 3))))
(+.f64 -1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))))
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x 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 x (fma.f64 y y y)))
(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)))
(+.f64 (fma.f64 (pow.f64 y 3) x x) (*.f64 x (fma.f64 y y y)))
(fma.f64 x (fma.f64 y y y) (fma.f64 (pow.f64 y 3) x x))
(*.f64 (fma.f64 y y 1) (fma.f64 y x 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) (*.f64 y y)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(*.f64 (/.f64 x y) (-.f64 -1 (/.f64 1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 x 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 (/.f64 x y) (-.f64 -1 (/.f64 1 y))) (/.f64 x (pow.f64 y 3)))
(+.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) (*.f64 y y)) (/.f64 x 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 -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) (*.f64 y y)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(*.f64 (/.f64 x y) (-.f64 -1 (/.f64 1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 x 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 (/.f64 x y) (-.f64 -1 (/.f64 1 y))) (/.f64 x (pow.f64 y 3)))
(+.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) (*.f64 y y)) (/.f64 x 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))))

prune1.6s (17.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3360336
Fresh000
Picked011
Done033
Total3364340
Error
0b
Counts
340 → 4
Alt Table
StatusErrorProgram
✓17.1b
(+.f64 (fma.f64 1 (/.f64 x (-.f64 1 y)) (neg.f64 (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y)))))) (fma.f64 (neg.f64 (+.f64 y 1)) (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y))))))
✓15.4b
(+.f64 (fma.f64 1 (/.f64 x (-.f64 1 y)) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (-.f64 1 y)))) (/.f64 1 (sqrt.f64 (-.f64 1 y))) (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y))))))
✓2.2b
(fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))
✓0.0b
(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 15846 to 9997 computations (36.9% saved)

regimes16.0ms (0.2%)

Accuracy

Total -25.4b remaining (-108565.8%)

Threshold costs -25.4b (-108565.8%)

Counts
4 → 1
Calls
Call 1
Inputs
(+.f64 (fma.f64 1 (/.f64 x (-.f64 1 y)) (neg.f64 (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y)))))) (fma.f64 (neg.f64 (+.f64 y 1)) (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y))))))
(+.f64 (fma.f64 1 (/.f64 x (-.f64 1 y)) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (-.f64 1 y)))) (/.f64 1 (sqrt.f64 (-.f64 1 y))) (*.f64 (/.f64 y (sqrt.f64 (-.f64 1 y))) (/.f64 1 (sqrt.f64 (-.f64 1 y))))))
(fma.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1) (neg.f64 (/.f64 y (-.f64 1 y))))
(/.f64 (-.f64 x y) (-.f64 1 y))
Outputs
(/.f64 (-.f64 x y) (-.f64 1 y))
Results
4.0ms0.0bx
4.0ms0.0by
5.0ms0.0b(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 133 to 91 computations (31.6% saved)

simplify4.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
21710
31910
42010
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
Outputs
(/.f64 (-.f64 x y) (-.f64 1 y))

end13.0ms (0.1%)

Stop Event
1×done
Compiler

Compiled 18 to 12 computations (33.3% saved)

Profiling

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