Details

Time bar (total: 6.9s)

analyze78.0ms (1.1%)

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
18.7%81.2%0.1%5
28.1%71.8%0.1%6
39%60.9%0.1%7
52.3%47.6%0.1%8
67.5%32.4%0.1%9
74.7%25.2%0.1%10
83.2%16.7%0.1%11
87%12.9%0.1%12
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.0s (15%)

Results
1.0s8255×body256valid
0.0ms1×body1024valid

preprocess79.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
1210×fma-neg_binary64
736×fma-def_binary64
555×div-sub_binary64
420×sub-neg_binary64
357×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
13326
25426
310626
422826
546326
6125426
7324626
8563326
9647526
10700026
11720226
12730626
13778026
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 2 (+.f64 x y)))
(/.f64 (-.f64 y x) (-.f64 2 (+.f64 y x)))
Outputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 y x) (-.f64 2 (+.f64 y x)))
(/.f64 (-.f64 y x) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (+.f64 y (-.f64 x 2)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify74.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1142×fma-neg_binary64
983×fma-def_binary64
658×div-sub_binary64
411×sub-neg_binary64
384×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11813
23513
37713
418813
535813
688313
7228713
8459113
9635013
10691413
11725613
12732413
13734413
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
Outputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
(/.f64 (-.f64 y x) (+.f64 x (+.f64 y -2)))

eval1.0ms (0%)

Compiler

Compiled 20 to 12 computations (40% saved)

prune1.0ms (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
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
✓0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
1.0ms
y
@0
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
1.0ms
y
@-inf
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
1.0ms
y
@inf
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
1.0ms
x
@inf
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite128.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
843×prod-diff_binary64
508×log-prod_binary64
312×fma-def_binary64
279×pow2_binary64
226×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
119713
2308813
Stop Event
1×node limit
Counts
1 → 226
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
Outputs
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simplify64.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
593×div-sub_binary64
466×fma-def_binary64
394×times-frac_binary64
305×associate-/l*_binary64
300×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0109865
1343807
21252693
37130693
Stop Event
1×node limit
Counts
250 → 261
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 x (-.f64 2 x))
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))))
Outputs
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(neg.f64 (/.f64 y (-.f64 2 y)))
(/.f64 (neg.f64 y) (-.f64 2 y))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))
(fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (neg.f64 y) (-.f64 2 y)))
(-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x)))))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (/.f64 y (-.f64 2 y)))
(-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) (/.f64 y (-.f64 2 y)))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))))
(+.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3))))
(+.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)) (/.f64 y (-.f64 2 y))))
(+.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y))) (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (+.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) (-.f64 2 y)))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 (*.f64 y 2) x) 1) (/.f64 2 x))
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (-.f64 (/.f64 (*.f64 y 2) x) 1) (/.f64 2 x)))
(+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (-.f64 2 y)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))
(fma.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (fma.f64 2 y -2) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 2)))) (+.f64 1 (/.f64 2 x))))
(+.f64 (fma.f64 2 (/.f64 y x) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (-.f64 2 y))) (-.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 1 (/.f64 2 x))))
(+.f64 (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) x) (-.f64 2 y))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 (*.f64 y 2) x) 1) (/.f64 2 x))
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (-.f64 (/.f64 (*.f64 y 2) x) 1) (/.f64 2 x)))
(+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (-.f64 2 y)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))
(fma.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (fma.f64 2 y -2) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 2)))) (+.f64 1 (/.f64 2 x))))
(+.f64 (fma.f64 2 (/.f64 y x) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (-.f64 2 y))) (-.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 1 (/.f64 2 x))))
(+.f64 (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) x) (-.f64 2 y))))
(/.f64 x (-.f64 2 x))
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))
(+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2))))))
(-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2)))))
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (/.f64 x (-.f64 2 x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)) (+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2)))))))
(-.f64 (-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)))
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (fma.f64 (*.f64 y y) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (/.f64 x (-.f64 2 x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))))
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 y 3) (fma.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2))))))))
(-.f64 (fma.f64 -1 (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (/.f64 x (-.f64 2 x))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)))
(-.f64 (fma.f64 (*.f64 y y) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (/.f64 x (-.f64 2 x))) (fma.f64 y (-.f64 (/.f64 -1 (+.f64 x -2)) (/.f64 x (pow.f64 (-.f64 2 x) 2))) (*.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (-.f64 2 x)) y)))
(+.f64 (-.f64 1 (/.f64 x y)) (/.f64 (-.f64 2 x) y))
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (*.f64 -1 (-.f64 x (-.f64 2 x)))))) (/.f64 (neg.f64 x) y)) (/.f64 (neg.f64 (-.f64 2 x)) y))
(+.f64 1 (+.f64 (-.f64 (*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (fma.f64 -1 x (-.f64 2 x))) (/.f64 x y)) (/.f64 (-.f64 2 x) y)))
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 (+.f64 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (*.f64 -1 (-.f64 x (-.f64 2 x))))) 1) (fma.f64 -1 (/.f64 x y) (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))))) (/.f64 (neg.f64 (-.f64 2 x)) y))
(+.f64 (/.f64 (-.f64 2 x) y) (+.f64 (-.f64 1 (/.f64 x y)) (+.f64 (*.f64 (/.f64 (fma.f64 -1 x (-.f64 2 x)) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2)) (*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (fma.f64 -1 x (-.f64 2 x))))))
(+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (-.f64 2 x) x) (*.f64 y y)) (+.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) y) (-.f64 2 x)))) (/.f64 (-.f64 (-.f64 2 x) x) y))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)))
(+.f64 1 (neg.f64 (/.f64 (fma.f64 2 x -2) y)))
(-.f64 1 (/.f64 (fma.f64 2 x -2) y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 (fma.f64 2 x -2) y) (/.f64 (fma.f64 2 x -2) (/.f64 (*.f64 y y) (-.f64 2 x))))))
(-.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (fma.f64 2 x -2) y)))
(+.f64 1 (*.f64 (/.f64 (fma.f64 2 x -2) y) (-.f64 -1 (/.f64 (-.f64 2 x) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 2 x -2) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (fma.f64 2 x -2) y) (/.f64 (fma.f64 2 x -2) (/.f64 (*.f64 y y) (-.f64 2 x)))))))
(-.f64 (-.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (fma.f64 2 x -2) y))) (*.f64 (/.f64 (fma.f64 2 x -2) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2)))
(+.f64 1 (-.f64 (*.f64 (/.f64 (fma.f64 2 x -2) y) (-.f64 -1 (/.f64 (-.f64 2 x) y))) (*.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (fma.f64 2 x -2) (pow.f64 y 3)))))

eval229.0ms (3.3%)

Compiler

Compiled 13853 to 8048 computations (41.9% saved)

prune51.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New24912261
Fresh000
Picked011
Done000
Total24913262
Error
0b
Counts
262 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
30.1b
(/.f64 (neg.f64 y) (-.f64 2 y))
36.2b
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 2 (+.f64 x y))))
✓0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
0.2b
(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))
▶33.2b
(/.f64 x (-.f64 2 x))
▶38.0b
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
39.7b
-1
38.0b
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
▶0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
▶0.1b
(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)
▶39.8b
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
38.4b
1
6.5b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))
Compiler

Compiled 277 to 197 computations (28.9% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.4b
(expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
✓0.4b
(expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))

series11.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
2.0ms
y
@0
(expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
2.0ms
y
@inf
(expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
1.0ms
y
@-inf
(expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
1.0ms
x
@inf
(expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))

rewrite138.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
878×prod-diff_binary64
546×log-prod_binary64
324×fma-def_binary64
245×egg-rr
204×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
121928
2329528
Stop Event
1×node limit
Counts
2 → 271
Calls
Call 1
Inputs
(expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
Outputs
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simplify68.0ms (1%)

Algorithm
1×egg-herbie
Rules
623×times-frac_binary64
490×associate-/l*_binary64
421×associate-/r*_binary64
281×associate-*l/_binary64
257×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02552476
18372294
231312050
Stop Event
1×node limit
Counts
319 → 346
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) 1)
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))) 1)
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2))) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)))) 1)
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (pow.f64 x 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 3)) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (-.f64 2 y)))) (/.f64 y (pow.f64 (-.f64 2 y) 4))))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2))) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (exp.f64 -1)) x) (exp.f64 -1)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 2 y) 2) 2))) (exp.f64 -1)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (exp.f64 -1)) x) (exp.f64 -1))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 2 y) 2) 2))) (exp.f64 -1)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (exp.f64 -1)) x) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 2 y) 2) 2) (-.f64 2 y)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 2 y) 2) 3)))) (exp.f64 -1)) (pow.f64 x 3)) (exp.f64 -1)))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (exp.f64 -1)) x) (exp.f64 -1)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 2 y) 2) 2))) (exp.f64 -1)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (exp.f64 -1)) x) (exp.f64 -1))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 2 y) 2) 2))) (exp.f64 -1)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (exp.f64 -1)) x) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (*.f64 2 y) 2) 2) (-.f64 2 y))) (*.f64 -1/6 (pow.f64 (-.f64 (*.f64 2 y) 2) 3)))) (exp.f64 -1)) (pow.f64 x 3)))))) 1)
(-.f64 (exp.f64 (/.f64 x (-.f64 2 x))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) (*.f64 y (exp.f64 (/.f64 x (-.f64 2 x)))))) (exp.f64 (/.f64 x (-.f64 2 x)))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) (*.f64 y (exp.f64 (/.f64 x (-.f64 2 x)))))) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3))))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) 2))) (exp.f64 (/.f64 x (-.f64 2 x))))) (exp.f64 (/.f64 x (-.f64 2 x))))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) (*.f64 y (exp.f64 (/.f64 x (-.f64 2 x)))))) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3))))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) 2))) (exp.f64 (/.f64 x (-.f64 2 x))))) (+.f64 (exp.f64 (/.f64 x (-.f64 2 x))) (*.f64 (pow.f64 y 3) (*.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3))))) (+.f64 (*.f64 -1/6 (pow.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) 3)) (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3)))))) (exp.f64 (/.f64 x (-.f64 2 x)))))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) y)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) 2)))) (pow.f64 y 2)) (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) y))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 2 x) (pow.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) 2)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) 3)) (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2))))) (pow.f64 y 3)) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) 2)))) (pow.f64 y 2)) (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) y)))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (*.f64 -1 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 2 x) 2)) y))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 2 x) 2)) y)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 2 x) 2) 2)))) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 2 x) 2)) y)) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 2 x) 2) 2)))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 2 x) 2) 3)) (+.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (*.f64 (pow.f64 (-.f64 (*.f64 2 x) 2) 2) (-.f64 2 x)))))) (pow.f64 y 3)))))) 1)
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 x (-.f64 2 x))
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))))
Outputs
(-.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) 1)
(expm1.f64 (neg.f64 (/.f64 y (-.f64 2 y))))
(expm1.f64 (/.f64 (neg.f64 y) (-.f64 2 y)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))) 1)
(+.f64 (exp.f64 (neg.f64 (/.f64 y (-.f64 2 y)))) (-.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 y (-.f64 2 y)))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) 1))
(+.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) 1) (exp.f64 (/.f64 (neg.f64 y) (-.f64 2 y)))))
(fma.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) 1) (exp.f64 (/.f64 (neg.f64 y) (-.f64 2 y))) -1)
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2))) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)))) 1)
(+.f64 (fma.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2))) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 (exp.f64 (neg.f64 (/.f64 y (-.f64 2 y)))) (*.f64 x x)) (+.f64 (exp.f64 (neg.f64 (/.f64 y (-.f64 2 y)))) (*.f64 (exp.f64 (neg.f64 (/.f64 y (-.f64 2 y)))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)))) -1)
(+.f64 -1 (fma.f64 (-.f64 (fma.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (/.f64 1 (pow.f64 (-.f64 2 y) 2))) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 (exp.f64 (/.f64 (neg.f64 y) (-.f64 2 y))) (*.f64 x x)) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) 1) (exp.f64 (/.f64 (neg.f64 y) (-.f64 2 y))))))
(+.f64 -1 (*.f64 (exp.f64 (/.f64 (neg.f64 y) (-.f64 2 y))) (+.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) 1) (*.f64 (-.f64 (fma.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (/.f64 1 (pow.f64 (-.f64 2 y) 2))) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 x x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (pow.f64 x 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 3)) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (-.f64 2 y)))) (/.f64 y (pow.f64 (-.f64 2 y) 4))))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2))) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (exp.f64 (*.f64 -1 (/.f64 y (-.f64 2 y)))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))))) 1)
(+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 y (-.f64 2 y)))) (*.f64 (pow.f64 x 3) (-.f64 (fma.f64 1/6 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 3) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (-.f64 2 y)))) (/.f64 y (pow.f64 (-.f64 2 y) 4)))) (fma.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2))) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 (exp.f64 (neg.f64 (/.f64 y (-.f64 2 y)))) (*.f64 x x)) (+.f64 (exp.f64 (neg.f64 (/.f64 y (-.f64 2 y)))) (*.f64 (exp.f64 (neg.f64 (/.f64 y (-.f64 2 y)))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))))) -1)
(fma.f64 (*.f64 (exp.f64 (/.f64 (neg.f64 y) (-.f64 2 y))) (pow.f64 x 3)) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 3) (/.f64 1 (pow.f64 (-.f64 2 y) 3))) (-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 4)))) (+.f64 -1 (fma.f64 (-.f64 (fma.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (/.f64 1 (pow.f64 (-.f64 2 y) 2))) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 (exp.f64 (/.f64 (neg.f64 y) (-.f64 2 y))) (*.f64 x x)) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) 1) (exp.f64 (/.f64 (neg.f64 y) (-.f64 2 y)))))))
(+.f64 -1 (fma.f64 (exp.f64 (/.f64 (neg.f64 y) (-.f64 2 y))) (*.f64 (pow.f64 x 3) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 3) (/.f64 1 (pow.f64 (-.f64 2 y) 3))) (-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 4))))) (*.f64 (exp.f64 (/.f64 (neg.f64 y) (-.f64 2 y))) (+.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) 1) (*.f64 (-.f64 (fma.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (/.f64 1 (pow.f64 (-.f64 2 y) 2))) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 x x))))))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (exp.f64 -1)) x) (exp.f64 -1)) 1)
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 x (exp.f64 -1))) (expm1.f64 -1))
(+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) x) (exp.f64 -1)) (expm1.f64 -1))
(+.f64 (/.f64 (fma.f64 y 2 -2) (/.f64 x (exp.f64 -1))) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 2 y) 2) 2))) (exp.f64 -1)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (exp.f64 -1)) x) (exp.f64 -1))) 1)
(+.f64 (/.f64 (fma.f64 (fma.f64 2 y -2) (-.f64 2 y) (*.f64 1/2 (pow.f64 (fma.f64 2 y -2) 2))) (/.f64 (*.f64 x x) (exp.f64 -1))) (+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 x (exp.f64 -1))) (expm1.f64 -1)))
(+.f64 (*.f64 (/.f64 (exp.f64 -1) x) (/.f64 (fma.f64 (-.f64 2 y) (fma.f64 y 2 -2) (*.f64 1/2 (pow.f64 (fma.f64 y 2 -2) 2))) x)) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) x) (exp.f64 -1)) (expm1.f64 -1)))
(+.f64 (*.f64 (exp.f64 -1) (+.f64 (/.f64 (fma.f64 y 2 -2) x) (/.f64 (*.f64 (fma.f64 y 2 -2) (+.f64 (*.f64 1/2 (fma.f64 y 2 -2)) (-.f64 2 y))) (*.f64 x x)))) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 2 y) 2) 2))) (exp.f64 -1)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (exp.f64 -1)) x) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 2 y) 2) 2) (-.f64 2 y)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 2 y) 2) 3)))) (exp.f64 -1)) (pow.f64 x 3)) (exp.f64 -1)))) 1)
(+.f64 (/.f64 (fma.f64 (fma.f64 2 y -2) (-.f64 2 y) (*.f64 1/2 (pow.f64 (fma.f64 2 y -2) 2))) (/.f64 (*.f64 x x) (exp.f64 -1))) (-.f64 (+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 x (exp.f64 -1))) (+.f64 (exp.f64 -1) (/.f64 (fma.f64 (fma.f64 2 y -2) (pow.f64 (-.f64 2 y) 2) (fma.f64 (pow.f64 (fma.f64 2 y -2) 2) (-.f64 2 y) (*.f64 1/6 (pow.f64 (fma.f64 2 y -2) 3)))) (/.f64 (pow.f64 x 3) (exp.f64 -1))))) 1))
(+.f64 (*.f64 (/.f64 (exp.f64 -1) x) (/.f64 (fma.f64 (-.f64 2 y) (fma.f64 y 2 -2) (*.f64 1/2 (pow.f64 (fma.f64 y 2 -2) 2))) x)) (+.f64 (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) x) (exp.f64 -1)) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 2 y) 2) (fma.f64 y 2 -2) (fma.f64 (-.f64 2 y) (pow.f64 (fma.f64 y 2 -2) 2) (*.f64 1/6 (pow.f64 (fma.f64 y 2 -2) 3)))) (pow.f64 x 3)) (exp.f64 -1))) (expm1.f64 -1)))
(+.f64 (*.f64 (/.f64 (exp.f64 -1) x) (/.f64 (*.f64 (fma.f64 y 2 -2) (+.f64 (*.f64 1/2 (fma.f64 y 2 -2)) (-.f64 2 y))) x)) (+.f64 (*.f64 (exp.f64 -1) (+.f64 (/.f64 (+.f64 (*.f64 1/6 (pow.f64 (fma.f64 y 2 -2) 3)) (*.f64 (*.f64 (-.f64 2 y) (fma.f64 y 2 -2)) (+.f64 (-.f64 2 y) (fma.f64 y 2 -2)))) (pow.f64 x 3)) (/.f64 (fma.f64 y 2 -2) x))) (expm1.f64 -1)))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (exp.f64 -1)) x) (exp.f64 -1)) 1)
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 x (exp.f64 -1))) (expm1.f64 -1))
(+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) x) (exp.f64 -1)) (expm1.f64 -1))
(+.f64 (/.f64 (fma.f64 y 2 -2) (/.f64 x (exp.f64 -1))) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 2 y) 2) 2))) (exp.f64 -1)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (exp.f64 -1)) x) (exp.f64 -1))) 1)
(+.f64 (/.f64 (fma.f64 (fma.f64 2 y -2) (-.f64 2 y) (*.f64 1/2 (pow.f64 (fma.f64 2 y -2) 2))) (/.f64 (*.f64 x x) (exp.f64 -1))) (+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 x (exp.f64 -1))) (expm1.f64 -1)))
(+.f64 (*.f64 (/.f64 (exp.f64 -1) x) (/.f64 (fma.f64 (-.f64 2 y) (fma.f64 y 2 -2) (*.f64 1/2 (pow.f64 (fma.f64 y 2 -2) 2))) x)) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) x) (exp.f64 -1)) (expm1.f64 -1)))
(+.f64 (*.f64 (exp.f64 -1) (+.f64 (/.f64 (fma.f64 y 2 -2) x) (/.f64 (*.f64 (fma.f64 y 2 -2) (+.f64 (*.f64 1/2 (fma.f64 y 2 -2)) (-.f64 2 y))) (*.f64 x x)))) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 2 y) 2) 2))) (exp.f64 -1)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (exp.f64 -1)) x) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (*.f64 2 y) 2) 2) (-.f64 2 y))) (*.f64 -1/6 (pow.f64 (-.f64 (*.f64 2 y) 2) 3)))) (exp.f64 -1)) (pow.f64 x 3)))))) 1)
(+.f64 (/.f64 (fma.f64 (fma.f64 2 y -2) (-.f64 2 y) (*.f64 1/2 (pow.f64 (fma.f64 2 y -2) 2))) (/.f64 (*.f64 x x) (exp.f64 -1))) (-.f64 (+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 x (exp.f64 -1))) (+.f64 (exp.f64 -1) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (pow.f64 (-.f64 2 y) 2) (fma.f64 2 y -2)) (fma.f64 -1 (*.f64 (-.f64 2 y) (pow.f64 (fma.f64 2 y -2) 2)) (*.f64 (pow.f64 (fma.f64 2 y -2) 3) -1/6))) (/.f64 (pow.f64 x 3) (exp.f64 -1)))))) 1))
(+.f64 (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) x) (exp.f64 -1)) (-.f64 (exp.f64 -1) (*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (fma.f64 y 2 -2) 3) -1/6) (neg.f64 (fma.f64 (pow.f64 (-.f64 2 y) 2) (fma.f64 y 2 -2) (*.f64 (-.f64 2 y) (pow.f64 (fma.f64 y 2 -2) 2))))) (pow.f64 x 3)) (exp.f64 -1)))) (-.f64 (*.f64 (/.f64 (exp.f64 -1) x) (/.f64 (fma.f64 (-.f64 2 y) (fma.f64 y 2 -2) (*.f64 1/2 (pow.f64 (fma.f64 y 2 -2) 2))) x)) 1))
(+.f64 -1 (+.f64 (-.f64 (exp.f64 -1) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 y 2 -2) 3) -1/6) (*.f64 (*.f64 (-.f64 2 y) (fma.f64 y 2 -2)) (+.f64 (-.f64 2 y) (fma.f64 y 2 -2)))) (pow.f64 x 3)) (exp.f64 -1))) (*.f64 (exp.f64 -1) (+.f64 (/.f64 (fma.f64 y 2 -2) x) (/.f64 (*.f64 (fma.f64 y 2 -2) (+.f64 (*.f64 1/2 (fma.f64 y 2 -2)) (-.f64 2 y))) (*.f64 x x))))))
(-.f64 (exp.f64 (/.f64 x (-.f64 2 x))) 1)
(expm1.f64 (/.f64 x (-.f64 2 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) (*.f64 y (exp.f64 (/.f64 x (-.f64 2 x)))))) (exp.f64 (/.f64 x (-.f64 2 x)))) 1)
(+.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2))) (*.f64 y (exp.f64 (/.f64 x (-.f64 2 x)))))) (expm1.f64 (/.f64 x (-.f64 2 x))))
(fma.f64 (neg.f64 (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2)))) (*.f64 y (exp.f64 (/.f64 x (-.f64 2 x)))) (expm1.f64 (/.f64 x (-.f64 2 x))))
(+.f64 -1 (*.f64 (+.f64 (*.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x)))) 1) (exp.f64 (/.f64 x (-.f64 2 x)))))
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(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x))))
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))
(+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (-.f64 2 y)) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (fma.f64 2 y -2)) (pow.f64 x 3))) (+.f64 1 (/.f64 2 x))))
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x)) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))))
(+.f64 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) x) (-.f64 2 y)))) (+.f64 -1 (/.f64 -2 x)))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x))))
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))
(+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (-.f64 2 y)) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (fma.f64 2 y -2)) (pow.f64 x 3))) (+.f64 1 (/.f64 2 x))))
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x)) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))))
(+.f64 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) x) (-.f64 2 y)))) (+.f64 -1 (/.f64 -2 x)))
(/.f64 x (-.f64 2 x))
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))
(+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2))))))
(fma.f64 (neg.f64 (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y (/.f64 x (-.f64 2 x)))
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) y (/.f64 x (-.f64 2 x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))
(fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3)))) (+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2)))))))
(-.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y (/.f64 x (-.f64 2 x))) (*.f64 y (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))))
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (*.f64 y y) (fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) y (/.f64 x (-.f64 2 x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))))
(fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3)))) (+.f64 (/.f64 x (-.f64 2 x)) (fma.f64 -1 (*.f64 (pow.f64 y 3) (fma.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2))))))))
(-.f64 (fma.f64 -1 (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (/.f64 x (-.f64 2 x))) (*.f64 y (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))))
(+.f64 (fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (*.f64 (pow.f64 y 3) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 -1 (pow.f64 (-.f64 2 x) 3))))) (fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (*.f64 y y) (/.f64 x (-.f64 2 x))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 x) y) (neg.f64 (/.f64 (-.f64 2 x) y))))
(+.f64 (-.f64 1 (/.f64 x y)) (/.f64 (-.f64 2 x) y))
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (*.f64 -1 (-.f64 x (-.f64 2 x)))))) (neg.f64 (/.f64 (-.f64 2 x) y))))
(+.f64 (/.f64 (-.f64 2 x) y) (+.f64 1 (-.f64 (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (fma.f64 -1 x (-.f64 2 x)) y)) (/.f64 x y))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 (-.f64 2 x) y) (+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y)))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(+.f64 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (*.f64 -1 (-.f64 x (-.f64 2 x))))) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 x y) (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))))) (neg.f64 (/.f64 (-.f64 2 x) y))))
(+.f64 (/.f64 (-.f64 2 x) y) (+.f64 (-.f64 1 (/.f64 x y)) (+.f64 (*.f64 (/.f64 (fma.f64 -1 x (-.f64 2 x)) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2)) (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (fma.f64 -1 x (-.f64 2 x)) y)))))
(+.f64 (/.f64 (-.f64 2 x) y) (+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 (-.f64 2 x) x) (*.f64 y y)) (+.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) y) (-.f64 2 x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)))
(+.f64 1 (neg.f64 (/.f64 (fma.f64 2 x -2) y)))
(-.f64 1 (/.f64 (fma.f64 2 x -2) y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 2 x -2) y) (/.f64 (neg.f64 (*.f64 (-.f64 2 x) (fma.f64 2 x -2))) (*.f64 y y))))
(-.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (*.f64 (/.f64 (fma.f64 2 x -2) (*.f64 y y)) (-.f64 2 x)))
(+.f64 1 (*.f64 (/.f64 (fma.f64 2 x -2) y) (-.f64 -1 (/.f64 (-.f64 2 x) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 2 x -2) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))) (+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 2 x -2) y) (/.f64 (neg.f64 (*.f64 (-.f64 2 x) (fma.f64 2 x -2))) (*.f64 y y)))))
(-.f64 (-.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (*.f64 (/.f64 (fma.f64 2 x -2) (*.f64 y y)) (-.f64 2 x))) (*.f64 (/.f64 (fma.f64 2 x -2) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2)))
(-.f64 (+.f64 1 (*.f64 (/.f64 (fma.f64 2 x -2) y) (-.f64 -1 (/.f64 (-.f64 2 x) y)))) (*.f64 (/.f64 (fma.f64 2 x -2) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2)))

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (-.f64 2 x))
✓0.0b
(/.f64 x (-.f64 2 x))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 x (-.f64 2 x))
0.0ms
x
@inf
(/.f64 x (-.f64 2 x))
0.0ms
x
@-inf
(/.f64 x (-.f64 2 x))

rewrite43.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11177
216227
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 x (-.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (-.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) 2) (cbrt.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 2 x))) (sqrt.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 x))) (/.f64 x (sqrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 2 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 8 (pow.f64 x 3))) (+.f64 4 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 4 (*.f64 x x))) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 2 x))))))))

simplify50.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
805×unswap-sqr_binary64
490×associate-/r*_binary64
486×fma-def_binary64
380×fma-neg_binary64
268×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037168
1101156
2277153
3880145
42655145
56627145
Stop Event
1×node limit
Counts
45 → 47
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/4 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/4 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/8) 1/4)))
(*.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/8 1/4))))
(+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/8) 1/4))))
(fma.f64 x (fma.f64 x 1/4 1/2) (*.f64 (pow.f64 x 3) (+.f64 1/8 (*.f64 x 1/16))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) 1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 2 x)))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -4 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 2 x)) (/.f64 -8 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3))))
(+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) 1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 2 x)))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -4 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 2 x)) (/.f64 -8 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3))))
(+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))))

localize5.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (-.f64 (-.f64 2 x) x) y)
0.0b
(-.f64 (-.f64 2 x) x)
0.0b
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
✓0.0b
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
✓0.0b
(-.f64 (-.f64 2 x) x)
✓0.3b
(/.f64 (-.f64 (-.f64 2 x) x) y)

series9.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/.f64 (-.f64 (-.f64 2 x) x) y)
1.0ms
x
@0
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
1.0ms
x
@0
(/.f64 (-.f64 (-.f64 2 x) x) y)
1.0ms
y
@0
(/.f64 (-.f64 (-.f64 2 x) x) y)
1.0ms
x
@inf
(/.f64 (-.f64 (-.f64 2 x) x) y)

rewrite78.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
498×log-prod_binary64
444×fma-def_binary64
309×pow-prod-down_binary64
285×pow2_binary64
255×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
121330
2320430
Stop Event
1×node limit
Counts
3 → 231
Calls
Call 1
Inputs
(/.f64 (-.f64 (-.f64 2 x) x) y)
(-.f64 (-.f64 2 x) x)
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 2 (+.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 x) y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (+.f64 x x)) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 2 x) y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 y) (/.f64 (+.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (+.f64 x x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) 2) (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) (*.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) (sqrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 2 (+.f64 x x))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 2 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 2 (+.f64 x x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (-.f64 2 (+.f64 x x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 2 (+.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 2 (+.f64 x x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 2 (+.f64 x x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (+.f64 x x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 2 x) (/.f64 1 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 2 x) y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) (-.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 2)) (/.f64 1 (-.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 2 x) y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 2 x) y)) (sqrt.f64 (/.f64 (-.f64 2 x) y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 x)) y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 x)) 1) (/.f64 (sqrt.f64 (-.f64 2 x)) y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 2 x) (cbrt.f64 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (-.f64 2 x)) (cbrt.f64 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 2 x)) (cbrt.f64 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (-.f64 2 x) (sqrt.f64 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 2 x)) (sqrt.f64 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 2 (+.f64 x x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (+.f64 x x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (+.f64 x x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (+.f64 x x)) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 2 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 2 (+.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 2 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (+.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 2 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) 2) (cbrt.f64 (-.f64 2 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) (sqrt.f64 (-.f64 2 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (-.f64 2 x)) (pow.f64 (-.f64 2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 x)) 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(+.f64 x x)) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) 2) (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) (*.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) (sqrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 2 (+.f64 x x))) (/.f64 1 (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (-.f64 2 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 2 x) y)) (neg.f64 (-.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 2 x) y)) (sqrt.f64 (/.f64 (-.f64 2 x) y)) (neg.f64 (-.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 x)) y) (neg.f64 (-.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 x)) 1) (/.f64 (sqrt.f64 (-.f64 2 x)) y) (neg.f64 (-.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 2 x) (cbrt.f64 y)) (neg.f64 (-.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 2 (+.f64 x x)) (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (-.f64 2 x)) (cbrt.f64 y)) (neg.f64 (-.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 2 x)) (cbrt.f64 y)) (neg.f64 (-.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (-.f64 2 x) (sqrt.f64 y)) (neg.f64 (-.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (-.f64 2 (+.f64 x x)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 2 x)) (sqrt.f64 y)) (neg.f64 (-.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 y)) (neg.f64 (-.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 2 (+.f64 x x))) (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 2 (+.f64 x x)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 2 (+.f64 x x)) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 2 (+.f64 x x)) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 2 (+.f64 x x)) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 2 (+.f64 x x)) y) 1)))))))

simplify51.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
638×fma-def_binary64
545×fma-neg_binary64
178×cancel-sign-sub-inv_binary64
77×div-sub_binary64
67×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023607
152469
297469
3152469
4261469
5482469
6912469
71406469
82224469
92597469
102689469
Stop Event
1×saturated
Counts
291 → 248
Calls
Call 1
Inputs
(/.f64 2 y)
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 2 (/.f64 1 y)))
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 2 (/.f64 1 y)))
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 2 (/.f64 1 y)))
(*.f64 -2 (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y)))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y)))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y)))
(*.f64 -2 (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y)))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y)))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y)))
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 -2 x))
(*.f64 -2 x)
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 -2 x))
(*.f64 -2 x)
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 -2 x))
(+.f64 (*.f64 2 (/.f64 1 y)) 1)
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(*.f64 -2 (/.f64 x y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(*.f64 -2 (/.f64 x y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
1
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
1
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
Outputs
(/.f64 2 y)
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 2 (/.f64 1 y)))
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 2 (/.f64 1 y)))
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 2 (/.f64 1 y)))
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(*.f64 -2 (/.f64 x y))
(*.f64 x (/.f64 -2 y))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(*.f64 -2 (/.f64 x y))
(*.f64 x (/.f64 -2 y))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
2
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(*.f64 -2 x)
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(*.f64 -2 x)
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(+.f64 (*.f64 2 (/.f64 1 y)) 1)
(+.f64 1 (/.f64 2 y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(*.f64 -2 (/.f64 x y))
(*.f64 x (/.f64 -2 y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(*.f64 -2 (/.f64 x y))
(*.f64 x (/.f64 -2 y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 -2 x 2) y)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
1
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
1
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (fma.f64 -2 x 2) y))

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
0.0b
(*.f64 2 (/.f64 y x))
✓0.0b
(*.f64 2 (/.f64 y x))
✓0.0b
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))

series8.0ms (0.1%)

Counts
2 → 18
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
1.0ms
y
@0
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
1.0ms
y
@inf
(*.f64 2 (/.f64 y x))
1.0ms
y
@inf
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
1.0ms
x
@0
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))

rewrite71.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
592×log-prod_binary64
568×fma-def_binary64
312×pow2_binary64
280×fma-neg_binary64
217×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
125021
2348621
Stop Event
1×node limit
Counts
2 → 173
Calls
Call 1
Inputs
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 2 (/.f64 y x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 2 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 2 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 2 x))))))))

simplify47.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
699×fma-def_binary64
627×fma-neg_binary64
279×cancel-sign-sub-inv_binary64
71×sub-neg_binary64
58×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022237
156199
2113163
3184163
4290163
5572163
61177163
71881163
82655163
92902163
102907163
Stop Event
1×saturated
Counts
191 → 182
Calls
Call 1
Inputs
(*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(*.f64 2 (/.f64 y x))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(*.f64 2 (/.f64 y x))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(/.f64 (-.f64 (*.f64 2 y) 2) x)
-1
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1)
Outputs
(*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x))
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1)
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x))
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1)
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x))
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1)
(*.f64 2 (/.f64 y x))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x))
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1)
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x))
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1)
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x))
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1)
(*.f64 2 (/.f64 y x))
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x))
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1)
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x))
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1)
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x)))
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x))
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1)
(/.f64 (-.f64 (*.f64 2 y) 2) x)
(/.f64 (fma.f64 2 y -2) x)
-1
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1)
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x))
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1)
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x))
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1)
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x))
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)
0.0b
(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
✓0.0b
(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
✓0.1b
(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)

series18.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
6.0ms
y
@0
(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)
3.0ms
y
@inf
(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
2.0ms
y
@inf
(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)
2.0ms
x
@0
(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)
1.0ms
x
@-inf
(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)

rewrite95.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
722×prod-diff_binary64
566×log-prod_binary64
309×fma-def_binary64
215×expm1-udef_binary64
215×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
123826
2349426
Stop Event
1×node limit
Counts
2 → 171
Calls
Call 1
Inputs
(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)
(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -2)) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2)) (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (+.f64 x y)))) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 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y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 2 (+.f64 x y)) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (-.f64 x y)) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (-.f64 x y)) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 2 (-.f64 x y))) (cbrt.f64 (/.f64 2 (-.f64 x y)))) (cbrt.f64 (/.f64 2 (-.f64 x y))) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 (-.f64 x y))) (sqrt.f64 (/.f64 2 (-.f64 x y))) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))))))))

simplify80.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
444×cancel-sign-sub-inv_binary64
291×fma-neg_binary64
286×unsub-neg_binary64
280×distribute-rgt-neg-in_binary64
267×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02672563
19782340
244702086
Stop Event
1×node limit
Counts
219 → 242
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x)) (pow.f64 (-.f64 2 y) 2))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x)) (pow.f64 (-.f64 2 y) 2))) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) (pow.f64 (-.f64 2 y) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) 2)) (pow.f64 (-.f64 2 y) 3)))))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x)) (pow.f64 (-.f64 2 y) 2))) (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 y 2)))) (+.f64 (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) (pow.f64 (-.f64 2 y) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) 2)) (pow.f64 (-.f64 2 y) 3))))) (-.f64 2 y)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) 2)) (pow.f64 (-.f64 2 y) 3)) (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 2 y) 2) y)))))) (pow.f64 x 3)) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) (pow.f64 (-.f64 2 y) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) 2)) (pow.f64 (-.f64 2 y) 3))))))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 (*.f64 2 y)))) (*.f64 y (-.f64 2 (*.f64 2 y)))) (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 (*.f64 2 y)))) (*.f64 y (-.f64 2 (*.f64 2 y)))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 2 (*.f64 2 y)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 (*.f64 2 y)))) (*.f64 y (-.f64 2 (*.f64 2 y))))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 2 (*.f64 2 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 y) 2) (*.f64 y (-.f64 2 (*.f64 2 y))))))) (pow.f64 x 3))))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 y)) x)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 2 y)) 2) (*.f64 y (-.f64 2 (*.f64 2 y)))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 y)) x))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 2 (*.f64 2 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 2 y)) 2) (*.f64 y (-.f64 2 (*.f64 2 y)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 y)) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (-.f64 2 (*.f64 2 y)) 2)) (pow.f64 x 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 2 y)) 2) (*.f64 y (-.f64 2 (*.f64 2 y)))) (-.f64 2 (*.f64 2 y))) (pow.f64 x 3))))))) 1)
(/.f64 x (-.f64 2 x))
(+.f64 (/.f64 x (-.f64 2 x)) (/.f64 (*.f64 y (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 x 2))) (pow.f64 (-.f64 2 x) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) 2) (pow.f64 x 3)) (pow.f64 (-.f64 2 x) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 (-.f64 2 x) 2)))))) (+.f64 (/.f64 x (-.f64 2 x)) (/.f64 (*.f64 y (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 x 2))) (pow.f64 (-.f64 2 x) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) 2) (pow.f64 x 3)) (pow.f64 (-.f64 2 x) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 (-.f64 2 x) 2)))))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 (-.f64 2 x) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 x 3))) (pow.f64 (-.f64 2 x) 3))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) 2) (pow.f64 x 3)) (pow.f64 (-.f64 2 x) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 (-.f64 2 x) 2)))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) x)) (-.f64 2 x)))))) (/.f64 (*.f64 y (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 x 2))) (pow.f64 (-.f64 2 x) 2)))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x)) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) x)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x)))))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x)) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 2 (*.f64 2 x)) x)) (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 (*.f64 2 x) 2))) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (-.f64 2 (*.f64 2 x)) x)) (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 (*.f64 2 x) 2)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (*.f64 (-.f64 (*.f64 2 x) 2) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 2 (*.f64 2 x)) x)) (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 (*.f64 2 x) 2))) (pow.f64 y 2))))))))
(*.f64 -1 (/.f64 (-.f64 2 y) y))
(+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 (-.f64 2 y) y)))
(+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) (pow.f64 x 2)) y) (*.f64 -1 (/.f64 (-.f64 2 y) y))))
(+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) (pow.f64 x 2)) y) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) (pow.f64 x 3)) (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 2 y) y)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 y x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 2 (*.f64 2 y))) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (/.f64 y x))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 y x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 2 (*.f64 2 y))) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (/.f64 y x))))
(/.f64 (-.f64 2 x) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (*.f64 2 (/.f64 1 x))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) (*.f64 2 (/.f64 1 x)))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 4)))) (pow.f64 y 3)))))) 1)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 x) y))) (*.f64 -1 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 x) y)))) (*.f64 -1 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) x) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (pow.f64 x 2)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) x) (pow.f64 y 2))))))
Outputs
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(neg.f64 (/.f64 y (-.f64 2 y)))
(/.f64 (neg.f64 y) (-.f64 2 y))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x)) (pow.f64 (-.f64 2 y) 2))))
(*.f64 -1 (+.f64 (/.f64 y (-.f64 2 y)) (/.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 (-.f64 (/.f64 2 y) (/.f64 2 (*.f64 y y))) x)))))
(-.f64 (/.f64 (neg.f64 y) (-.f64 2 y)) (/.f64 (*.f64 y y) (/.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) x) (+.f64 (/.f64 2 y) (/.f64 -2 (*.f64 y y))))))
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(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 y x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 2 (*.f64 -2 y)))) (+.f64 1 (*.f64 2 (/.f64 y x)))))
(+.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 2 (*.f64 y -2)) x)) (-.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) 1))
(+.f64 (/.f64 2 x) (+.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) 2)) -1))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 2 (*.f64 2 y))) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (/.f64 y x))))
(+.f64 (/.f64 (*.f64 (*.f64 y y) (+.f64 2 (*.f64 -2 y))) (pow.f64 x 3)) (+.f64 (/.f64 2 x) (-.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 2 (*.f64 -2 y)))) (+.f64 1 (*.f64 2 (/.f64 y x))))))
(+.f64 (*.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (+.f64 2 (*.f64 y -2))) (+.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 2 (*.f64 y -2)) x)) (-.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) 1)))
(+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 2 (*.f64 y -2))) (+.f64 (/.f64 2 x) (+.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) 2)) -1)))
(/.f64 (-.f64 2 x) x)
(+.f64 (/.f64 2 x) -1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (*.f64 2 (/.f64 1 x))) 1)
(+.f64 (fma.f64 -1 (*.f64 y (fma.f64 -1 (/.f64 (-.f64 2 x) (*.f64 x x)) (/.f64 1 x))) (/.f64 2 x)) -1)
(+.f64 -1 (fma.f64 (neg.f64 y) (+.f64 (/.f64 1 x) (/.f64 (+.f64 -2 x) (*.f64 x x))) (/.f64 2 x)))
(-.f64 (+.f64 (/.f64 2 x) -1) (fma.f64 y (/.f64 (+.f64 x -2) (*.f64 x x)) (/.f64 y x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) (*.f64 2 (/.f64 1 x)))) 1)
(+.f64 (fma.f64 -1 (*.f64 y (fma.f64 -1 (/.f64 (-.f64 2 x) (*.f64 x x)) (/.f64 1 x))) (fma.f64 -1 (*.f64 (*.f64 y y) (fma.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) (/.f64 2 x))) -1)
(+.f64 -1 (-.f64 (fma.f64 (*.f64 (neg.f64 y) y) (+.f64 (/.f64 (+.f64 -2 x) (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 2 x)) (*.f64 y (+.f64 (/.f64 1 x) (/.f64 (+.f64 -2 x) (*.f64 x x))))))
(-.f64 (+.f64 (/.f64 2 x) (fma.f64 (*.f64 y y) (+.f64 (/.f64 (-.f64 2 x) (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) -1)) (fma.f64 y (/.f64 (+.f64 x -2) (*.f64 x x)) (/.f64 y x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 4)))) (pow.f64 y 3)))))) 1)
(+.f64 (fma.f64 -1 (*.f64 y (fma.f64 -1 (/.f64 (-.f64 2 x) (*.f64 x x)) (/.f64 1 x))) (+.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (fma.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) (/.f64 2 x)) (neg.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (neg.f64 (-.f64 2 x)) (pow.f64 x 4))))))) -1)
(+.f64 -1 (-.f64 (-.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 -2 x) (pow.f64 x 4)))) (pow.f64 y 3) (/.f64 2 x)) (*.f64 y (*.f64 y (+.f64 (/.f64 (+.f64 -2 x) (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))) (*.f64 y (+.f64 (/.f64 1 x) (/.f64 (+.f64 -2 x) (*.f64 x x))))))
(-.f64 (+.f64 (fma.f64 (+.f64 (/.f64 (-.f64 2 x) (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))) (pow.f64 y 3) (/.f64 2 x)) (fma.f64 (*.f64 y y) (+.f64 (/.f64 (-.f64 2 x) (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) -1)) (fma.f64 y (/.f64 (+.f64 x -2) (*.f64 x x)) (/.f64 y x)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 x) y))) (*.f64 -1 (/.f64 x y)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (-.f64 2 x)) y) (/.f64 (neg.f64 x) y)))
(+.f64 (/.f64 (+.f64 -2 x) y) (+.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (fma.f64 2 x -2) y))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 x) y)))) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 -1 (-.f64 (-.f64 2 x) x)) (/.f64 (*.f64 y y) x)) (+.f64 1 (-.f64 (/.f64 (neg.f64 (-.f64 2 x)) y) (/.f64 (neg.f64 x) y))))
(+.f64 (*.f64 (/.f64 (+.f64 x (+.f64 -2 x)) (*.f64 y y)) x) (+.f64 (/.f64 (+.f64 -2 x) y) (+.f64 1 (/.f64 x y))))
(+.f64 1 (*.f64 (/.f64 (+.f64 2 (*.f64 x -2)) y) (-.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 x y)))
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 -1 (-.f64 (-.f64 2 x) x)) (/.f64 (*.f64 y y) x)) 1) (fma.f64 -1 (/.f64 (-.f64 2 x) y) (/.f64 (*.f64 -1 (-.f64 (-.f64 2 x) x)) (/.f64 (pow.f64 y 3) (*.f64 x x))))) (/.f64 (neg.f64 x) y))
(+.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 x (+.f64 -2 x)) (*.f64 y y)) x)) (+.f64 (+.f64 (/.f64 (+.f64 -2 x) y) (/.f64 (+.f64 x (+.f64 -2 x)) (/.f64 (pow.f64 y 3) (*.f64 x x)))) (/.f64 x y)))
(+.f64 (+.f64 1 (fma.f64 (/.f64 (fma.f64 2 x -2) (pow.f64 y 3)) (*.f64 x x) (/.f64 (+.f64 x -2) y))) (*.f64 (/.f64 x y) (-.f64 (/.f64 (fma.f64 2 x -2) y) -1)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (-.f64 2 x)) y) (/.f64 (neg.f64 x) y)))
(+.f64 (/.f64 (+.f64 -2 x) y) (+.f64 1 (/.f64 x y)))
(+.f64 1 (/.f64 (fma.f64 2 x -2) y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) x) (pow.f64 y 2)))))
(+.f64 (/.f64 (*.f64 -1 (-.f64 (-.f64 2 x) x)) (/.f64 (*.f64 y y) x)) (+.f64 1 (-.f64 (/.f64 (neg.f64 (-.f64 2 x)) y) (/.f64 (neg.f64 x) y))))
(+.f64 (*.f64 (/.f64 (+.f64 x (+.f64 -2 x)) (*.f64 y y)) x) (+.f64 (/.f64 (+.f64 -2 x) y) (+.f64 1 (/.f64 x y))))
(+.f64 1 (*.f64 (/.f64 (+.f64 2 (*.f64 x -2)) y) (-.f64 -1 (/.f64 x y))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (pow.f64 x 2)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) x) (pow.f64 y 2))))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 -2 x)) y) (*.f64 -1 (+.f64 (/.f64 (+.f64 2 (*.f64 -2 x)) (/.f64 (pow.f64 y 3) (*.f64 x x))) (/.f64 (+.f64 2 (*.f64 -2 x)) (/.f64 (*.f64 y y) x))))))
(+.f64 1 (-.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) (/.f64 (pow.f64 y 3) (+.f64 2 (*.f64 x -2)))) (/.f64 (fma.f64 2 x -2) y))) (*.f64 (/.f64 (+.f64 2 (*.f64 x -2)) (*.f64 y y)) x)))
(+.f64 1 (+.f64 (*.f64 (/.f64 (+.f64 2 (*.f64 x -2)) y) (-.f64 -1 (/.f64 x y))) (/.f64 (*.f64 x x) (/.f64 (pow.f64 y 3) (fma.f64 2 x -2)))))

eval1.0s (15%)

Compiler

Compiled 50291 to 30391 computations (39.6% saved)

prune270.0ms (3.9%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1314121326
Fresh617
Picked101
Done235
Total1323161339
Error
0b
Counts
1339 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)))
38.2b
(+.f64 1 (/.f64 2 y))
▶30.1b
(/.f64 (neg.f64 y) (-.f64 2 y))
✓0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
39.7b
-1
39.8b
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1)
✓33.2b
(/.f64 x (-.f64 2 x))
▶55.9b
(*.f64 1/2 x)
▶0.2b
(*.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (-.f64 x y))
38.4b
1
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
▶33.2b
(*.f64 (/.f64 1 (-.f64 2 x)) x)
38.0b
(-.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 x y) 1))
36.2b
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 (-.f64 2 x) y)))
38.0b
(+.f64 1 (*.f64 -2 (/.f64 x y)))
▶0.1b
(/.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (/.f64 1 (-.f64 x y)))
Compiler

Compiled 285 to 207 computations (27.4% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (/.f64 1 (-.f64 x y)))
0.0b
(/.f64 1 (-.f64 2 (+.f64 x y)))
✓0.0b
(/.f64 1 (-.f64 2 (+.f64 x y)))
✓0.1b
(/.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (/.f64 1 (-.f64 x y)))

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/.f64 1 (-.f64 2 (+.f64 x y)))
1.0ms
x
@inf
(/.f64 1 (-.f64 2 (+.f64 x y)))
0.0ms
x
@0
(/.f64 1 (-.f64 2 (+.f64 x y)))
0.0ms
y
@0
(/.f64 1 (-.f64 2 (+.f64 x y)))
0.0ms
y
@-inf
(/.f64 1 (-.f64 2 (+.f64 x y)))

rewrite70.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
641×prod-diff_binary64
601×log-prod_binary64
316×fma-def_binary64
230×log-div_binary64
227×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01129
126123
2382323
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (/.f64 1 (-.f64 x y)))
(/.f64 1 (-.f64 2 (+.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (-.f64 2 (+.f64 x y)))) (*.f64 (neg.f64 y) (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) x) (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 2 (+.f64 x y))) (/.f64 1 (/.f64 -1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) 1) (/.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (/.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (/.f64 1 (cbrt.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)) (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (/.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (/.f64 1 (cbrt.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (-.f64 x y) -1/2)) (/.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (pow.f64 (-.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)) (pow.f64 (-.f64 x y) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))) (pow.f64 (-.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) -1) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (/.f64 -1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 3) (pow.f64 (/.f64 1 (-.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (*.f64 (neg.f64 y) (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) x (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))) (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (pow.f64 (-.f64 2 (+.f64 x y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 2 (+.f64 x y))) -1) (pow.f64 (sqrt.f64 (-.f64 2 (+.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 8 (pow.f64 (+.f64 x y) 3))) (fma.f64 (+.f64 x y) (+.f64 2 (+.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 x y) 2))) (+.f64 2 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 2 (+.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 2 (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))))

simplify66.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
645×fma-def_binary64
552×times-frac_binary64
457×associate-/l*_binary64
390×associate-/r*_binary64
343×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01611591
14771533
217131306
Stop Event
1×node limit
Counts
119 → 135
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 x (-.f64 2 x))
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))))
(/.f64 1 (-.f64 2 y))
(+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 1 (-.f64 2 y)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4)))))
(/.f64 -1 x)
(-.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 4)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1 x)
(-.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 4)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (-.f64 2 x))
(+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 y (pow.f64 (-.f64 2 x) 2)))
(+.f64 (/.f64 1 (-.f64 2 x)) (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 3))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 1 (-.f64 2 x)) (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 3)))))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
Outputs
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(neg.f64 (/.f64 y (-.f64 2 y)))
(/.f64 (neg.f64 y) (-.f64 2 y))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))
(-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y)))
(fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (neg.f64 y) (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x)))))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (/.f64 y (-.f64 2 y)))
(fma.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (neg.f64 y) (-.f64 2 y))))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))))
(+.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3))))
(+.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (-.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3))) (/.f64 y (-.f64 2 y))))
(+.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (neg.f64 y) (-.f64 2 y))) (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (+.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) (-.f64 2 y)))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x))))
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))
(fma.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (fma.f64 2 y -2)) (pow.f64 x 3))) (+.f64 1 (/.f64 2 x))))
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(+.f64 (/.f64 (/.f64 (+.f64 x -2) y) y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))))
(+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 2 (*.f64 y y))) (/.f64 1 y)))
(fma.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2) (+.f64 (/.f64 (/.f64 (+.f64 x -2) y) y) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 4) (+.f64 x -2))) (+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))))
(+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 4)) (+.f64 x -2)) (+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 2 (*.f64 y y))) (/.f64 1 y))))
(+.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 2 x) 3)) (pow.f64 y 4)) (fma.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2) (+.f64 (/.f64 (/.f64 (+.f64 x -2) y) y) (/.f64 -1 y))))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))
(-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 2 (*.f64 y y))) (/.f64 1 y))
(+.f64 (/.f64 (/.f64 (+.f64 x -2) y) y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))))
(+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 2 (*.f64 y y))) (/.f64 1 y)))
(fma.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2) (+.f64 (/.f64 (/.f64 (+.f64 x -2) y) y) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 4) (+.f64 x -2))) (+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))))
(+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 4)) (+.f64 x -2)) (+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 2 (*.f64 y y))) (/.f64 1 y))))
(+.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 2 x) 3)) (pow.f64 y 4)) (fma.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2) (+.f64 (/.f64 (/.f64 (+.f64 x -2) y) y) (/.f64 -1 y))))

localize2.0ms (0%)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (neg.f64 y) (-.f64 2 y))
✓0.0b
(/.f64 (neg.f64 y) (-.f64 2 y))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (neg.f64 y) (-.f64 2 y))
0.0ms
y
@inf
(/.f64 (neg.f64 y) (-.f64 2 y))
0.0ms
y
@-inf
(/.f64 (neg.f64 y) (-.f64 2 y))

rewrite47.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
671×pow1_binary64
631×add-log-exp_binary64
629×log1p-expm1-u_binary64
629×expm1-log1p-u_binary64
620×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11427
221277
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (neg.f64 y) (-.f64 2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 y 2)) (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 2) (cbrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y 2))) (sqrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (cbrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y 2))) (/.f64 y (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y 2))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 y 2))) (/.f64 y (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 8 (pow.f64 y 3))) (+.f64 4 (*.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 4 (*.f64 y y))) (+.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 2) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y 2))))))))

simplify74.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1033×fma-def_binary64
805×unswap-sqr_binary64
601×associate-/l*_binary64
545×distribute-lft-out_binary64
416×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036156
195156
2213154
3550145
41582140
54502140
67823140
Stop Event
1×node limit
Counts
50 → 52
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 -1/2 y))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/2 y) (*.f64 -1/8 (pow.f64 y 3))))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1/16 (pow.f64 y 4)) (*.f64 -1/8 (pow.f64 y 3)))))
1
(+.f64 (*.f64 2 (/.f64 1 y)) 1)
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 2 (/.f64 1 y))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y)))))
1
(+.f64 (*.f64 2 (/.f64 1 y)) 1)
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 2 (/.f64 1 y))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y)))))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 -1/2 y))
(fma.f64 -1/4 (*.f64 y y) (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 y (*.f64 y -1/4)))
(*.f64 y (+.f64 -1/2 (*.f64 y -1/4)))
(*.f64 y (fma.f64 y -1/4 -1/2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/2 y) (*.f64 -1/8 (pow.f64 y 3))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/2 y (*.f64 -1/8 (pow.f64 y 3))))
(fma.f64 -1/2 y (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/8) -1/4)))
(*.f64 y (+.f64 -1/2 (*.f64 y (fma.f64 y -1/8 -1/4))))
(*.f64 y (fma.f64 y (fma.f64 y -1/8 -1/4) -1/2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1/16 (pow.f64 y 4)) (*.f64 -1/8 (pow.f64 y 3)))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/2 y (fma.f64 -1/16 (pow.f64 y 4) (*.f64 -1/8 (pow.f64 y 3)))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/2 y (fma.f64 -1/8 (pow.f64 y 3) (*.f64 -1/16 (pow.f64 y 4)))))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/8 (pow.f64 y 3) (fma.f64 -1/2 y (*.f64 -1/16 (pow.f64 y 4)))))
(fma.f64 y (fma.f64 y -1/4 -1/2) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 y -1/16) -1/8)))
(*.f64 y (+.f64 -1/2 (*.f64 y (fma.f64 y (fma.f64 y -1/16 -1/8) -1/4))))
1
(+.f64 (*.f64 2 (/.f64 1 y)) 1)
(+.f64 1 (/.f64 2 y))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 2 (/.f64 1 y))))
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y)))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (+.f64 (/.f64 2 y) (/.f64 8 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y))) (/.f64 8 (pow.f64 y 3))))
(+.f64 (*.f64 (/.f64 1 (*.f64 y y)) (+.f64 4 (/.f64 8 y))) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y)) (/.f64 8 (pow.f64 y 3))))
1
(+.f64 (*.f64 2 (/.f64 1 y)) 1)
(+.f64 1 (/.f64 2 y))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 2 (/.f64 1 y))))
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y)))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (+.f64 (/.f64 2 y) (/.f64 8 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y))) (/.f64 8 (pow.f64 y 3))))
(+.f64 (*.f64 (/.f64 1 (*.f64 y y)) (+.f64 4 (/.f64 8 y))) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y)) (/.f64 8 (pow.f64 y 3))))

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 1 (-.f64 2 x)) x)
0.0b
(/.f64 1 (-.f64 2 x))
✓0.0b
(/.f64 1 (-.f64 2 x))
✓0.1b
(*.f64 (/.f64 1 (-.f64 2 x)) x)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 1 (-.f64 2 x))
0.0ms
x
@0
(*.f64 (/.f64 1 (-.f64 2 x)) x)
0.0ms
x
@0
(/.f64 1 (-.f64 2 x))
0.0ms
x
@inf
(*.f64 (/.f64 1 (-.f64 2 x)) x)
0.0ms
x
@-inf
(/.f64 1 (-.f64 2 x))

rewrite56.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
755×pow1_binary64
706×add-log-exp_binary64
705×log1p-expm1-u_binary64
705×expm1-log1p-u_binary64
694×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115214
2190614
Stop Event
1×node limit
Counts
2 → 45
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 2 x)) x)
(/.f64 1 (-.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (-.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (-.f64 2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (-.f64 2 x))) (sqrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (cbrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (-.f64 2 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 2 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 2 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 2 x))) (cbrt.f64 (pow.f64 (-.f64 2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 x) -1/2) (pow.f64 (-.f64 2 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 2 x)) -1) (pow.f64 (sqrt.f64 (-.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 8 (pow.f64 x 3))) (+.f64 4 (*.f64 x (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 x x))) (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 x))))))))

simplify42.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
790×fma-def_binary64
497×associate-/l*_binary64
328×distribute-neg-frac_binary64
307×sub-neg_binary64
301×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057363
1167335
2503324
31620312
44786312
Stop Event
1×node limit
Counts
69 → 73
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
1/2
(+.f64 1/2 (*.f64 1/4 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/4 x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 1/4 x) (*.f64 1/16 (pow.f64 x 3)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/4 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/4 (*.f64 x x)))
(fma.f64 1/2 x (*.f64 x (*.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (*.f64 x (*.f64 x 1/4))))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 x (fma.f64 x 1/4 1/2)))
(*.f64 x (fma.f64 x (fma.f64 x 1/8 1/4) 1/2))
(+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (*.f64 x (*.f64 x 1/4)))))
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 3) (*.f64 x (fma.f64 x 1/4 1/2))))
(fma.f64 x (fma.f64 x 1/4 1/2) (*.f64 (pow.f64 x 3) (fma.f64 x 1/16 1/8)))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x 1/16 1/8)) (fma.f64 x 1/4 1/2)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3))))
1/2
(+.f64 1/2 (*.f64 1/4 x))
(+.f64 1/2 (*.f64 x 1/4))
(fma.f64 x 1/4 1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/4 x)))
(fma.f64 1/8 (*.f64 x x) (+.f64 1/2 (*.f64 x 1/4)))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x 1/4 1/2))
(fma.f64 x 1/4 (fma.f64 x (*.f64 x 1/8) 1/2))
(fma.f64 x (fma.f64 x 1/8 1/4) 1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 1/4 x) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 1/8 (*.f64 x x) (+.f64 1/2 (fma.f64 1/4 x (*.f64 (pow.f64 x 3) 1/16))))
(+.f64 (fma.f64 (pow.f64 x 3) 1/16 (*.f64 x 1/4)) (fma.f64 (*.f64 x x) 1/8 1/2))
(fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) 1/16 (fma.f64 x 1/4 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x 1/16 1/8)) (fma.f64 x 1/4 1/2))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x))
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 -4 (pow.f64 x 3)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -1 x) (/.f64 4 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) (/.f64 8 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 3))) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (+.f64 (-.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 3))) (/.f64 -2 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -1 x) (/.f64 4 (pow.f64 x 3)))) (/.f64 -8 (pow.f64 x 4)))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x))
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 -4 (pow.f64 x 3)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -1 x) (/.f64 4 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) (/.f64 8 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 3))) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (+.f64 (-.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 3))) (/.f64 -2 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -1 x) (/.f64 4 (pow.f64 x 3)))) (/.f64 -8 (pow.f64 x 4)))

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (-.f64 x y))
0.0b
(/.f64 1 (-.f64 (-.f64 2 x) y))
✓0.0b
(/.f64 1 (-.f64 (-.f64 2 x) y))
✓0.2b
(*.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (-.f64 x y))

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (-.f64 x y))
0.0ms
y
@0
(*.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (-.f64 x y))
0.0ms
x
@inf
(*.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (-.f64 x y))
0.0ms
y
@inf
(*.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (-.f64 x y))
0.0ms
x
@-inf
(*.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (-.f64 x y))

rewrite72.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
846×prod-diff_binary64
529×log-prod_binary64
375×fma-def_binary64
210×pow1/3_binary64
207×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
123123
2331123
Stop Event
1×node limit
Counts
2 → 78
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (-.f64 x y))
(/.f64 1 (-.f64 (-.f64 2 x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (-.f64 2 (+.f64 x y)))) (*.f64 (neg.f64 y) (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) x) (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (-.f64 2 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (-.f64 2 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (-.f64 2 (+.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 2 (+.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))) (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (pow.f64 (-.f64 2 (+.f64 x y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2)) (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 y 3))) (fma.f64 y (-.f64 2 (-.f64 x y)) (pow.f64 (-.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (-.f64 2 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 2 (+.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 2 (+.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 2 (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))))

simplify50.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
645×fma-def_binary64
552×times-frac_binary64
457×associate-/l*_binary64
390×associate-/r*_binary64
343×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01611591
14771533
217131306
Stop Event
1×node limit
Counts
126 → 142
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 x (-.f64 2 x))
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))))
(/.f64 1 (-.f64 2 y))
(+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 1 (-.f64 2 y)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4)))))
(/.f64 -1 x)
(-.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 4)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1 x)
(-.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 4)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (-.f64 2 x))
(+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 y (pow.f64 (-.f64 2 x) 2)))
(+.f64 (/.f64 1 (-.f64 2 x)) (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 3))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 1 (-.f64 2 x)) (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 3)))))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
Outputs
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(neg.f64 (/.f64 y (-.f64 2 y)))
(/.f64 (neg.f64 y) (-.f64 2 y))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))
(-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y)))
(fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (neg.f64 y) (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x)))))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (/.f64 y (-.f64 2 y)))
(fma.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (neg.f64 y) (-.f64 2 y))))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))))
(+.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3))))
(+.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (-.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3))) (/.f64 y (-.f64 2 y))))
(+.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (neg.f64 y) (-.f64 2 y))) (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (+.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) (-.f64 2 y)))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x))))
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))
(fma.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (fma.f64 2 y -2)) (pow.f64 x 3))) (+.f64 1 (/.f64 2 x))))
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x)) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))))
(+.f64 (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (+.f64 (-.f64 2 y) (/.f64 (pow.f64 (-.f64 2 y) 2) x))) (/.f64 (fma.f64 y 2 -2) x)) -1)
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x))))
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))
(fma.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (fma.f64 2 y -2)) (pow.f64 x 3))) (+.f64 1 (/.f64 2 x))))
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x)) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))))
(+.f64 (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (+.f64 (-.f64 2 y) (/.f64 (pow.f64 (-.f64 2 y) 2) x))) (/.f64 (fma.f64 y 2 -2) x)) -1)
(/.f64 x (-.f64 2 x))
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))
(+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2))))))
(-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2)))))
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (/.f64 x (-.f64 2 x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)) (+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2)))))))
(-.f64 (-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)))
(fma.f64 (*.f64 y y) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (/.f64 x (-.f64 2 x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))))
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 y 3) (fma.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2))))))))
(-.f64 (fma.f64 -1 (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (/.f64 x (-.f64 2 x))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)))
(-.f64 (fma.f64 (*.f64 y y) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (/.f64 x (-.f64 2 x))) (fma.f64 y (-.f64 (/.f64 -1 (+.f64 x -2)) (/.f64 x (pow.f64 (-.f64 2 x) 2))) (*.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (-.f64 2 x)) y)))
(+.f64 (-.f64 1 (/.f64 x y)) (/.f64 (-.f64 2 x) y))
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 (+.f64 1 (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (*.f64 y y) (-.f64 2 x)))) (/.f64 (neg.f64 x) y)) (/.f64 (neg.f64 (-.f64 2 x)) y))
(+.f64 (/.f64 (-.f64 2 x) y) (+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (fma.f64 -1 x (-.f64 2 x)))))
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(+.f64 (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (*.f64 y y) (-.f64 2 x))) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 x y) (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))))) (/.f64 (neg.f64 (-.f64 2 x)) y)))
(+.f64 (+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (fma.f64 -1 x (-.f64 2 x)) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2))) (+.f64 (*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (fma.f64 -1 x (-.f64 2 x))) (/.f64 (-.f64 2 x) y)))
(+.f64 (-.f64 1 (/.f64 x y)) (-.f64 (*.f64 (/.f64 (-.f64 (-.f64 2 x) x) (*.f64 y y)) (+.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) y) (-.f64 2 x))) (/.f64 (+.f64 x -2) y)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)))
(+.f64 1 (neg.f64 (/.f64 (fma.f64 2 x -2) y)))
(-.f64 1 (/.f64 (fma.f64 2 x -2) y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 2 x -2) y) (neg.f64 (/.f64 (fma.f64 2 x -2) (/.f64 (*.f64 y y) (-.f64 2 x))))))
(-.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (fma.f64 2 x -2) y)))
(+.f64 1 (*.f64 (/.f64 (fma.f64 2 x -2) y) (-.f64 -1 (/.f64 (-.f64 2 x) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 2 x -2) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))) (+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 2 x -2) y) (neg.f64 (/.f64 (fma.f64 2 x -2) (/.f64 (*.f64 y y) (-.f64 2 x)))))))
(-.f64 (-.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (fma.f64 2 x -2) y))) (*.f64 (/.f64 (fma.f64 2 x -2) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2)))
(+.f64 1 (-.f64 (*.f64 (/.f64 (fma.f64 2 x -2) y) (-.f64 -1 (/.f64 (-.f64 2 x) y))) (*.f64 (/.f64 (fma.f64 2 x -2) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2))))
(/.f64 1 (-.f64 2 y))
(+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y)))
(+.f64 (/.f64 1 (-.f64 2 y)) (/.f64 x (pow.f64 (-.f64 2 y) 2)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y))))
(+.f64 (+.f64 (/.f64 1 (-.f64 2 y)) (/.f64 x (pow.f64 (-.f64 2 y) 2))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 3)))
(+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 1 (-.f64 2 y)) (/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 3))))
(+.f64 (/.f64 1 (-.f64 2 y)) (*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (pow.f64 (-.f64 2 y) 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 1 (-.f64 2 y)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4)))))
(+.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 1 (-.f64 2 y)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4)))))
(+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (+.f64 (+.f64 (/.f64 1 (-.f64 2 y)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 3))))
(+.f64 (+.f64 (/.f64 1 (-.f64 2 y)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4))) (*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (pow.f64 (-.f64 2 y) 2))))
(/.f64 -1 x)
(-.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(-.f64 (/.f64 (/.f64 y x) x) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 (/.f64 (+.f64 y -2) x) x) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 (/.f64 y x) x) (-.f64 (*.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))
(fma.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2) (+.f64 (/.f64 (/.f64 (+.f64 y -2) x) x) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 4)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (pow.f64 x 3)) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 4) (+.f64 y -2)))) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 (/.f64 y x) x) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 4) (+.f64 y -2)))) (-.f64 (*.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (*.f64 (+.f64 y -2) (+.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 4)))) (+.f64 (/.f64 (/.f64 (+.f64 y -2) x) x) (/.f64 -1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(-.f64 (/.f64 (/.f64 y x) x) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 (/.f64 (+.f64 y -2) x) x) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 (/.f64 y x) x) (-.f64 (*.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))
(fma.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2) (+.f64 (/.f64 (/.f64 (+.f64 y -2) x) x) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 4)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (pow.f64 x 3)) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 4) (+.f64 y -2)))) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 (/.f64 y x) x) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 4) (+.f64 y -2)))) (-.f64 (*.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (*.f64 (+.f64 y -2) (+.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 4)))) (+.f64 (/.f64 (/.f64 (+.f64 y -2) x) x) (/.f64 -1 x)))
(/.f64 1 (-.f64 2 x))
(/.f64 -1 (+.f64 x -2))
(+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 y (pow.f64 (-.f64 2 x) 2)))
(+.f64 (/.f64 -1 (+.f64 x -2)) (/.f64 y (pow.f64 (-.f64 2 x) 2)))
(+.f64 (/.f64 1 (-.f64 2 x)) (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 3))))
(+.f64 (/.f64 1 (-.f64 2 x)) (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 3))))
(+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 3))))
(+.f64 (/.f64 -1 (+.f64 x -2)) (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (pow.f64 (-.f64 2 x) 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 1 (-.f64 2 x)) (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 3)))))
(+.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 3)))) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)))
(+.f64 (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 3)))) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)))
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (pow.f64 (-.f64 2 x) 2))) (+.f64 (/.f64 -1 (+.f64 x -2)) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4))))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))
(-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 2 (*.f64 y y))) (/.f64 1 y))
(+.f64 (/.f64 (/.f64 (+.f64 x -2) y) y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))))
(+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 2 (*.f64 y y))) (/.f64 1 y)))
(fma.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2) (+.f64 (/.f64 (/.f64 (+.f64 x -2) y) y) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 4) (+.f64 x -2))) (+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))))
(+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 4)) (+.f64 x -2)) (+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 2 (*.f64 y y))) (/.f64 1 y))))
(+.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 2 x) 3)) (pow.f64 y 4)) (fma.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2) (+.f64 (/.f64 (/.f64 (+.f64 x -2) y) y) (/.f64 -1 y))))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))
(-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 2 (*.f64 y y))) (/.f64 1 y))
(+.f64 (/.f64 (/.f64 (+.f64 x -2) y) y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))))
(+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 2 (*.f64 y y))) (/.f64 1 y)))
(fma.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2) (+.f64 (/.f64 (/.f64 (+.f64 x -2) y) y) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 4) (+.f64 x -2))) (+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))))
(+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 4)) (+.f64 x -2)) (+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 2 (*.f64 y y))) (/.f64 1 y))))
(+.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 2 x) 3)) (pow.f64 y 4)) (fma.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2) (+.f64 (/.f64 (/.f64 (+.f64 x -2) y) y) (/.f64 -1 y))))

eval155.0ms (2.2%)

Compiler

Compiled 7321 to 4823 computations (34.1% saved)

prune161.0ms (2.3%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New3957402
Fresh358
Picked101
Done167
Total40018418
Error
0b
Counts
418 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
38.4b
1
38.2b
(+.f64 1 (/.f64 2 y))
✓30.1b
(/.f64 (neg.f64 y) (-.f64 2 y))
✓0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
30.2b
(*.f64 y (/.f64 1 (+.f64 -2 y)))
36.2b
(*.f64 (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
✓33.2b
(*.f64 (/.f64 1 (-.f64 2 x)) x)
39.7b
-1
▶38.3b
(*.f64 y (/.f64 1 (+.f64 y 2)))
39.8b
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1)
✓33.2b
(/.f64 x (-.f64 2 x))
▶23.5b
(/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 1 (-.f64 x y)))
38.0b
(+.f64 1 (*.f64 -2 (/.f64 x y)))
▶39.7b
(*.f64 (/.f64 -1 x) (-.f64 x y))
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
▶54.8b
(*.f64 -1/2 y)
▶38.0b
(-.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 x y) 1))
✓55.9b
(*.f64 1/2 x)
Compiler

Compiled 271 to 200 computations (26.2% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 1 (-.f64 x y)))
0.0b
(/.f64 1 (-.f64 2 y))
✓0.0b
(/.f64 1 (-.f64 2 y))
✓0.2b
(/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 1 (-.f64 x y)))

series4.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 1 (-.f64 x y)))
1.0ms
x
@-inf
(/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 1 (-.f64 x y)))
1.0ms
y
@inf
(/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 1 (-.f64 x y)))
0.0ms
y
@-inf
(/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 1 (-.f64 x y)))
0.0ms
x
@0
(/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 1 (-.f64 x y)))

rewrite60.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
529×log-prod_binary64
444×prod-diff_binary64
294×pow2_binary64
225×fma-def_binary64
203×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
123317
2330617
Stop Event
1×node limit
Counts
2 → 78
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 1 (-.f64 x y)))
(/.f64 1 (-.f64 2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (-.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (-.f64 2 y))) (*.f64 (neg.f64 y) (/.f64 1 (-.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 2 y)) x) (*.f64 (/.f64 1 (-.f64 2 y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (-.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 y)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (-.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 y) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 2 y))) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 y))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 y))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (/.f64 1 (-.f64 2 y)) (pow.f64 (-.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 y) -1/2) (*.f64 (pow.f64 (-.f64 2 y) -1/2) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 2 y)) (/.f64 1 (/.f64 -1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 2 y) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 2 y))) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 2 y) -1/2) 1) (/.f64 (pow.f64 (-.f64 2 y) -1/2) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 1 (cbrt.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 2 y) -2)) (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 2 y) -1/2) (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (/.f64 (pow.f64 (-.f64 2 y) -1/2) (/.f64 1 (cbrt.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 2 y) -2)) (pow.f64 (-.f64 x y) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 2 y))) (pow.f64 (-.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 2 y)) -1) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 2 y)) (cbrt.f64 (pow.f64 (-.f64 x y) 2))) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 2 y)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 y) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 2 y) -3) (pow.f64 (-.f64 x y) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 2 y) (-.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 -1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 2 y) -3) (pow.f64 (-.f64 x y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 2 y)) x (*.f64 (/.f64 1 (-.f64 2 y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (-.f64 2 y)) (*.f64 (neg.f64 y) (/.f64 1 (-.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 2 y))) (cbrt.f64 (pow.f64 (-.f64 2 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 y) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 y) -1/2) (pow.f64 (-.f64 2 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (-.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 y)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 8 (pow.f64 y 3))) (fma.f64 y (+.f64 2 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 y y))) (+.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 y) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 y) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 y) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 2 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 2 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 y))))))))

simplify41.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
584×fma-neg_binary64
392×fma-def_binary64
353×times-frac_binary64
352×associate-/r*_binary64
285×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090656
1272591
2901539
33176528
Stop Event
1×node limit
Counts
114 → 114
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1/4 x)))) (+.f64 (*.f64 1/2 x) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (+.f64 1/2 (*.f64 -1/4 x))))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 3) (+.f64 1/2 (*.f64 -1/4 x)))) (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1/4 x)))) (+.f64 (*.f64 1/2 x) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (+.f64 1/2 (*.f64 -1/4 x)))))))
1
(+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (+.f64 2 (*.f64 -1 x)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))))
(+.f64 (*.f64 4 (/.f64 (+.f64 2 (*.f64 -1 x)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (+.f64 2 (*.f64 -1 x)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 2) y)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x 2) y))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -4 (/.f64 (-.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 x 2) y)))))
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(/.f64 x (-.f64 2 y))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(/.f64 x (-.f64 2 y))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
1/2
(+.f64 1/2 (*.f64 1/4 y))
(+.f64 1/2 (+.f64 (*.f64 1/4 y) (*.f64 1/8 (pow.f64 y 2))))
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 y 3)) (+.f64 (*.f64 1/4 y) (*.f64 1/8 (pow.f64 y 2)))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3)))))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3)))))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 1/2 x))
(fma.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 x -1/4))) (*.f64 1/2 x))
(-.f64 (*.f64 1/2 x) (*.f64 y (fma.f64 x -1/4 1/2)))
(fma.f64 1/2 x (*.f64 y (neg.f64 (fma.f64 x -1/4 1/2))))
(+.f64 (*.f64 y -1/2) (*.f64 x (fma.f64 y 1/4 1/2)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1/4 x)))) (+.f64 (*.f64 1/2 x) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (+.f64 1/2 (*.f64 -1/4 x))))))
(fma.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 x -1/4))) (fma.f64 1/2 x (*.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 x -1/4)) (*.f64 y y)))))
(-.f64 (fma.f64 1/2 x (*.f64 -1/2 (*.f64 (fma.f64 x -1/4 1/2) (*.f64 y y)))) (*.f64 y (fma.f64 x -1/4 1/2)))
(fma.f64 1/2 x (*.f64 (fma.f64 x -1/4 1/2) (+.f64 (neg.f64 y) (*.f64 y (*.f64 y -1/2)))))
(fma.f64 1/2 x (*.f64 (fma.f64 x -1/4 1/2) (-.f64 (*.f64 -1/2 (*.f64 y y)) y)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 3) (+.f64 1/2 (*.f64 -1/4 x)))) (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1/4 x)))) (+.f64 (*.f64 1/2 x) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (+.f64 1/2 (*.f64 -1/4 x)))))))
(fma.f64 -1/4 (*.f64 (+.f64 1/2 (*.f64 x -1/4)) (pow.f64 y 3)) (fma.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 x -1/4))) (fma.f64 1/2 x (*.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 x -1/4)) (*.f64 y y))))))
(+.f64 (fma.f64 1/2 x (*.f64 -1/2 (*.f64 (fma.f64 x -1/4 1/2) (*.f64 y y)))) (*.f64 (fma.f64 x -1/4 1/2) (+.f64 (*.f64 -1/4 (pow.f64 y 3)) (neg.f64 y))))
(+.f64 (*.f64 1/2 x) (*.f64 (fma.f64 x -1/4 1/2) (+.f64 (-.f64 (*.f64 -1/4 (pow.f64 y 3)) y) (*.f64 y (*.f64 y -1/2)))))
(-.f64 (*.f64 1/2 x) (*.f64 (fma.f64 x -1/4 1/2) (-.f64 y (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/4))))))
1
(+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (+.f64 (/.f64 2 y) 1) (/.f64 (neg.f64 x) y))
(+.f64 1 (-.f64 (/.f64 2 y) (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 2 x) y))
(-.f64 1 (/.f64 (+.f64 x -2) y))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (+.f64 2 (*.f64 -1 x)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))))
(+.f64 1 (fma.f64 2 (/.f64 (+.f64 2 (neg.f64 x)) (*.f64 y y)) (+.f64 (/.f64 2 y) (/.f64 (neg.f64 x) y))))
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 (-.f64 2 x) (*.f64 y y)) (/.f64 2 y)) (/.f64 x y)))
(+.f64 1 (*.f64 (/.f64 (+.f64 x -2) y) (+.f64 -1 (/.f64 -2 y))))
(+.f64 (*.f64 4 (/.f64 (+.f64 2 (*.f64 -1 x)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (+.f64 2 (*.f64 -1 x)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))))))
(fma.f64 4 (/.f64 (+.f64 2 (neg.f64 x)) (pow.f64 y 3)) (+.f64 1 (fma.f64 2 (/.f64 (+.f64 2 (neg.f64 x)) (*.f64 y y)) (+.f64 (/.f64 2 y) (/.f64 (neg.f64 x) y)))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 (-.f64 2 x) (*.f64 y y)) (/.f64 2 y)) (/.f64 x y)) (fma.f64 4 (/.f64 (-.f64 2 x) (pow.f64 y 3)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 2 x) y) (*.f64 (/.f64 (+.f64 x -2) (*.f64 y y)) (+.f64 -2 (/.f64 -4 y)))))
(+.f64 1 (*.f64 (/.f64 (+.f64 x -2) y) (+.f64 (+.f64 (/.f64 -2 y) -1) (/.f64 -4 (*.f64 y y)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 2) y)))
(+.f64 (+.f64 (/.f64 2 y) 1) (/.f64 (neg.f64 x) y))
(+.f64 1 (-.f64 (/.f64 2 y) (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 2 x) y))
(-.f64 1 (/.f64 (+.f64 x -2) y))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x 2) y))))
(+.f64 1 (fma.f64 2 (/.f64 (+.f64 2 (neg.f64 x)) (*.f64 y y)) (+.f64 (/.f64 2 y) (/.f64 (neg.f64 x) y))))
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 (-.f64 2 x) (*.f64 y y)) (/.f64 2 y)) (/.f64 x y)))
(+.f64 1 (*.f64 (/.f64 (+.f64 x -2) y) (+.f64 -1 (/.f64 -2 y))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -4 (/.f64 (-.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 x 2) y)))))
(fma.f64 4 (/.f64 (+.f64 2 (neg.f64 x)) (pow.f64 y 3)) (+.f64 1 (fma.f64 2 (/.f64 (+.f64 2 (neg.f64 x)) (*.f64 y y)) (+.f64 (/.f64 2 y) (/.f64 (neg.f64 x) y)))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 (-.f64 2 x) (*.f64 y y)) (/.f64 2 y)) (/.f64 x y)) (fma.f64 4 (/.f64 (-.f64 2 x) (pow.f64 y 3)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 2 x) y) (*.f64 (/.f64 (+.f64 x -2) (*.f64 y y)) (+.f64 -2 (/.f64 -4 y)))))
(+.f64 1 (*.f64 (/.f64 (+.f64 x -2) y) (+.f64 (+.f64 (/.f64 -2 y) -1) (/.f64 -4 (*.f64 y y)))))
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(neg.f64 (/.f64 y (-.f64 2 y)))
(/.f64 (neg.f64 y) (-.f64 2 y))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (/.f64 x (-.f64 2 y)))
(-.f64 (/.f64 x (-.f64 2 y)) (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (/.f64 x (-.f64 2 y)))
(-.f64 (/.f64 x (-.f64 2 y)) (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (/.f64 x (-.f64 2 y)))
(-.f64 (/.f64 x (-.f64 2 y)) (/.f64 y (-.f64 2 y)))
(/.f64 x (-.f64 2 y))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (/.f64 x (-.f64 2 y)))
(-.f64 (/.f64 x (-.f64 2 y)) (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (/.f64 x (-.f64 2 y)))
(-.f64 (/.f64 x (-.f64 2 y)) (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (/.f64 x (-.f64 2 y)))
(-.f64 (/.f64 x (-.f64 2 y)) (/.f64 y (-.f64 2 y)))
(/.f64 x (-.f64 2 y))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (/.f64 x (-.f64 2 y)))
(-.f64 (/.f64 x (-.f64 2 y)) (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (/.f64 x (-.f64 2 y)))
(-.f64 (/.f64 x (-.f64 2 y)) (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (/.f64 x (-.f64 2 y)))
(-.f64 (/.f64 x (-.f64 2 y)) (/.f64 y (-.f64 2 y)))
1/2
(+.f64 1/2 (*.f64 1/4 y))
(+.f64 1/2 (*.f64 y 1/4))
(fma.f64 y 1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/4 y) (*.f64 1/8 (pow.f64 y 2))))
(+.f64 1/2 (fma.f64 1/4 y (*.f64 (*.f64 y y) 1/8)))
(+.f64 1/2 (fma.f64 y 1/4 (*.f64 y (*.f64 y 1/8))))
(fma.f64 (*.f64 y y) 1/8 (fma.f64 y 1/4 1/2))
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 y 3)) (+.f64 (*.f64 1/4 y) (*.f64 1/8 (pow.f64 y 2)))))
(+.f64 1/2 (fma.f64 1/16 (pow.f64 y 3) (fma.f64 1/4 y (*.f64 (*.f64 y y) 1/8))))
(+.f64 1/2 (fma.f64 (pow.f64 y 3) 1/16 (fma.f64 y 1/4 (*.f64 y (*.f64 y 1/8)))))
(fma.f64 (pow.f64 y 3) 1/16 (fma.f64 (*.f64 y y) 1/8 (fma.f64 y 1/4 1/2)))
(+.f64 1/2 (*.f64 y (+.f64 1/4 (*.f64 y (+.f64 (*.f64 y 1/16) 1/8)))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))
(-.f64 (/.f64 -1 y) (/.f64 2 (*.f64 y y)))
(+.f64 (/.f64 -1 y) (/.f64 (/.f64 -2 y) y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3)))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3))))
(+.f64 (/.f64 -1 y) (+.f64 (/.f64 -2 (*.f64 y y)) (/.f64 -4 (pow.f64 y 3))))
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 (/.f64 -2 y) y) (/.f64 4 (pow.f64 y 3))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3)))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3))) (/.f64 8 (pow.f64 y 4)))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 4 (pow.f64 y 3)) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 8 (pow.f64 y 4)))))
(+.f64 (/.f64 -1 y) (+.f64 (+.f64 (/.f64 -8 (pow.f64 y 4)) (/.f64 -4 (pow.f64 y 3))) (/.f64 -2 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (+.f64 (-.f64 (/.f64 (/.f64 -2 y) y) (/.f64 4 (pow.f64 y 3))) (/.f64 -8 (pow.f64 y 4))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))
(-.f64 (/.f64 -1 y) (/.f64 2 (*.f64 y y)))
(+.f64 (/.f64 -1 y) (/.f64 (/.f64 -2 y) y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3)))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3))))
(+.f64 (/.f64 -1 y) (+.f64 (/.f64 -2 (*.f64 y y)) (/.f64 -4 (pow.f64 y 3))))
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 (/.f64 -2 y) y) (/.f64 4 (pow.f64 y 3))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3)))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3))) (/.f64 8 (pow.f64 y 4)))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 4 (pow.f64 y 3)) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 8 (pow.f64 y 4)))))
(+.f64 (/.f64 -1 y) (+.f64 (+.f64 (/.f64 -8 (pow.f64 y 4)) (/.f64 -4 (pow.f64 y 3))) (/.f64 -2 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (+.f64 (-.f64 (/.f64 (/.f64 -2 y) y) (/.f64 4 (pow.f64 y 3))) (/.f64 -8 (pow.f64 y 4))))

localize2.0ms (0%)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 -1 x) (-.f64 x y))
✓0.2b
(*.f64 (/.f64 -1 x) (-.f64 x y))

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite58.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
868×pow1_binary64
806×add-log-exp_binary64
806×log1p-expm1-u_binary64
806×expm1-log1p-u_binary64
790×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11539
221329
Stop Event
1×node limit
Counts
1 → 40
Calls
Call 1
Inputs
(*.f64 (/.f64 -1 x) (-.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 -1 x)) (*.f64 (neg.f64 y) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 x) x) (*.f64 (/.f64 -1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 x y) (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (neg.f64 x) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (*.f64 x -1) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 x -1) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -1) (*.f64 (+.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 (+.f64 x y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 (+.f64 x y) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (-.f64 x y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (-.f64 x y)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 -1 x)) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 -1 x)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (neg.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (neg.f64 x))))))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07141
111141
212141
Stop Event
1×saturated
Counts
64 → 44
Calls
Call 1
Inputs
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
-1
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
-1
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
-1
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
Outputs
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
-1
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
-1
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
-1
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 y (/.f64 1 (+.f64 y 2)))
0.0b
(/.f64 1 (+.f64 y 2))
✓0.0b
(/.f64 1 (+.f64 y 2))
✓0.1b
(*.f64 y (/.f64 1 (+.f64 y 2)))

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 y (/.f64 1 (+.f64 y 2)))
0.0ms
y
@inf
(*.f64 y (/.f64 1 (+.f64 y 2)))
0.0ms
y
@inf
(/.f64 1 (+.f64 y 2))
0.0ms
y
@0
(/.f64 1 (+.f64 y 2))
0.0ms
y
@-inf
(*.f64 y (/.f64 1 (+.f64 y 2)))

rewrite76.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
738×pow1_binary64
691×add-log-exp_binary64
690×log1p-expm1-u_binary64
690×expm1-log1p-u_binary64
679×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115314
2191614
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 y (/.f64 1 (+.f64 y 2)))
(/.f64 1 (+.f64 y 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (+.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (+.f64 y 2) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (+.f64 y 2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (+.f64 -2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 (+.f64 y 2))) (sqrt.f64 (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1) (+.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (cbrt.f64 (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 y) (+.f64 -2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1) (+.f64 -2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (+.f64 y 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 y 2)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 y 2))) (cbrt.f64 (pow.f64 (+.f64 y 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 y 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y 2) -1/2) (pow.f64 (+.f64 y 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 y 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 y 2)) -1) (pow.f64 (sqrt.f64 (+.f64 y 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 y 3))) (fma.f64 y y (-.f64 4 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y y -4)) (+.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 y 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 y 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 y 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 y 2))))))))

simplify91.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
609×fma-def_binary64
504×associate-/l/_binary64
449×fma-neg_binary64
389×associate-*l/_binary64
364×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052339
1153337
2398325
31088312
43210312
57869312
Stop Event
1×node limit
Counts
70 → 74
Calls
Call 1
Inputs
(*.f64 1/2 y)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 1/2 y))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 y) (*.f64 1/8 (pow.f64 y 3))))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/16 (pow.f64 y 4)) (+.f64 (*.f64 1/2 y) (*.f64 1/8 (pow.f64 y 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 y)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 y)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))
1
(-.f64 1 (*.f64 2 (/.f64 1 y)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 y)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))
1/2
(+.f64 1/2 (*.f64 -1/4 y))
(+.f64 1/2 (+.f64 (*.f64 -1/4 y) (*.f64 1/8 (pow.f64 y 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 y) (+.f64 (*.f64 -1/16 (pow.f64 y 3)) (*.f64 1/8 (pow.f64 y 2)))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 3)))) (*.f64 2 (/.f64 1 (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 4))) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 3)))) (*.f64 2 (/.f64 1 (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 4))) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
Outputs
(*.f64 1/2 y)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 1/2 y))
(fma.f64 -1/4 (*.f64 y y) (*.f64 1/2 y))
(fma.f64 1/2 y (*.f64 y (*.f64 y -1/4)))
(*.f64 y (fma.f64 y -1/4 1/2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 y) (*.f64 1/8 (pow.f64 y 3))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 1/2 y (*.f64 1/8 (pow.f64 y 3))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 1/8 (pow.f64 y 3) (*.f64 1/2 y)))
(fma.f64 1/8 (pow.f64 y 3) (*.f64 y (fma.f64 y -1/4 1/2)))
(*.f64 y (fma.f64 y (fma.f64 y 1/8 -1/4) 1/2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/16 (pow.f64 y 4)) (+.f64 (*.f64 1/2 y) (*.f64 1/8 (pow.f64 y 3)))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/16 (pow.f64 y 4) (fma.f64 1/2 y (*.f64 1/8 (pow.f64 y 3)))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/16 (pow.f64 y 4) (fma.f64 1/8 (pow.f64 y 3) (*.f64 1/2 y))))
(fma.f64 -1/16 (pow.f64 y 4) (fma.f64 1/8 (pow.f64 y 3) (*.f64 y (fma.f64 y -1/4 1/2))))
(fma.f64 y (fma.f64 y -1/4 1/2) (*.f64 (pow.f64 y 3) (fma.f64 y -1/16 1/8)))
(*.f64 y (fma.f64 y -1/4 (fma.f64 (*.f64 y y) (fma.f64 y -1/16 1/8) 1/2)))
1
(-.f64 1 (*.f64 2 (/.f64 1 y)))
(-.f64 1 (/.f64 2 y))
(+.f64 1 (/.f64 -2 y))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 y y)) (/.f64 2 y)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -2 y)))
(+.f64 (/.f64 4 (*.f64 y y)) (-.f64 1 (/.f64 2 y)))
(+.f64 (/.f64 4 (*.f64 y y)) (+.f64 1 (/.f64 -2 y)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 y y))) (+.f64 (/.f64 2 y) (/.f64 8 (pow.f64 y 3))))
(+.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -2 y)) (/.f64 8 (pow.f64 y 3))))
(+.f64 (/.f64 4 (*.f64 y y)) (+.f64 (-.f64 1 (/.f64 2 y)) (/.f64 -8 (pow.f64 y 3))))
(+.f64 1 (+.f64 (/.f64 -2 y) (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -8 (pow.f64 y 3)))))
(+.f64 (/.f64 -8 (pow.f64 y 3)) (+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -2 y))))
1
(-.f64 1 (*.f64 2 (/.f64 1 y)))
(-.f64 1 (/.f64 2 y))
(+.f64 1 (/.f64 -2 y))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 y y)) (/.f64 2 y)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -2 y)))
(+.f64 (/.f64 4 (*.f64 y y)) (-.f64 1 (/.f64 2 y)))
(+.f64 (/.f64 4 (*.f64 y y)) (+.f64 1 (/.f64 -2 y)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 y y))) (+.f64 (/.f64 2 y) (/.f64 8 (pow.f64 y 3))))
(+.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -2 y)) (/.f64 8 (pow.f64 y 3))))
(+.f64 (/.f64 4 (*.f64 y y)) (+.f64 (-.f64 1 (/.f64 2 y)) (/.f64 -8 (pow.f64 y 3))))
(+.f64 1 (+.f64 (/.f64 -2 y) (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -8 (pow.f64 y 3)))))
(+.f64 (/.f64 -8 (pow.f64 y 3)) (+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -2 y))))
1/2
(+.f64 1/2 (*.f64 -1/4 y))
(+.f64 1/2 (*.f64 y -1/4))
(fma.f64 y -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 y) (*.f64 1/8 (pow.f64 y 2))))
(+.f64 1/2 (fma.f64 -1/4 y (*.f64 (*.f64 y y) 1/8)))
(+.f64 1/2 (fma.f64 y -1/4 (*.f64 y (*.f64 y 1/8))))
(fma.f64 y -1/4 (fma.f64 (*.f64 y y) 1/8 1/2))
(fma.f64 y (fma.f64 y 1/8 -1/4) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 y) (+.f64 (*.f64 -1/16 (pow.f64 y 3)) (*.f64 1/8 (pow.f64 y 2)))))
(+.f64 1/2 (fma.f64 -1/4 y (fma.f64 -1/16 (pow.f64 y 3) (*.f64 (*.f64 y y) 1/8))))
(+.f64 1/2 (fma.f64 y -1/4 (fma.f64 (*.f64 y y) 1/8 (*.f64 (pow.f64 y 3) -1/16))))
(+.f64 1/2 (fma.f64 y -1/4 (*.f64 (*.f64 y y) (+.f64 1/8 (*.f64 y -1/16)))))
(fma.f64 y -1/4 (fma.f64 (*.f64 y y) (fma.f64 y -1/16 1/8) 1/2))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -2 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -2 y) y))
(-.f64 (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 3)))) (*.f64 2 (/.f64 1 (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 2 (*.f64 y y))))
(+.f64 (/.f64 4 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 -2 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 (/.f64 -2 y) y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 4 y) 2)))
(-.f64 (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 4))) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 4 (pow.f64 y 3))) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 8 (pow.f64 y 4))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 4 (pow.f64 y 3)) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 8 (pow.f64 y 4)))))
(+.f64 (/.f64 4 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 -2 (*.f64 y y)) (/.f64 -8 (pow.f64 y 4)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 -2 y) y) (+.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 -8 (pow.f64 y 4)))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -2 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -2 y) y))
(-.f64 (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 3)))) (*.f64 2 (/.f64 1 (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 2 (*.f64 y y))))
(+.f64 (/.f64 4 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 -2 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 (/.f64 -2 y) y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 4 y) 2)))
(-.f64 (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 4))) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 4 (pow.f64 y 3))) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 8 (pow.f64 y 4))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 4 (pow.f64 y 3)) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 8 (pow.f64 y 4)))))
(+.f64 (/.f64 4 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 -2 (*.f64 y y)) (/.f64 -8 (pow.f64 y 4)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 -2 y) y) (+.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 -8 (pow.f64 y 4)))))

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 x y) 1)
0.0b
(-.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 x y) 1))
0.0b
(/.f64 (-.f64 2 x) y)
✓0.0b
(/.f64 (-.f64 2 x) y)
✓0.0b
(-.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 x y) 1))
✓0.0b
(-.f64 (/.f64 x y) 1)

series7.0ms (0.1%)

Counts
3 → 42
Calls

18 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/.f64 (-.f64 2 x) y)
0.0ms
y
@-inf
(-.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 x y) 1))
0.0ms
y
@inf
(-.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 x y) 1))
0.0ms
x
@0
(/.f64 (-.f64 2 x) y)
0.0ms
x
@inf
(-.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 x y) 1))

rewrite137.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
567×log-prod_binary64
555×fma-def_binary64
423×fma-neg_binary64
314×pow2_binary64
251×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
124027
2373527
Stop Event
1×node limit
Counts
3 → 258
Calls
Call 1
Inputs
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 x y) 1))
(/.f64 (-.f64 2 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x y) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 1 (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 x y)) 1) (-.f64 (sqrt.f64 (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1)) (+.f64 (pow.f64 (/.f64 x y) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 3) -1) (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 3) -1) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (+.f64 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (neg.f64 (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1)) (+.f64 (pow.f64 (/.f64 x y) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (pow.f64 y -1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 y -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1) x -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 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(/.f64 (cbrt.f64 (-.f64 2 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 2 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 2 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 2 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 2 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 2 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 2 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 2 y)) (+.f64 1 (expm1.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 2 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 y) (*.f64 (neg.f64 x) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 y) (*.f64 -1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 y) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 y -1) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 y -1) (*.f64 (neg.f64 x) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 y -1) (*.f64 -1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 y -1) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 y -1) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 y)) 2) (cbrt.f64 (/.f64 2 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 y)) 2) (cbrt.f64 (/.f64 2 y)) (*.f64 (neg.f64 x) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 y)) 2) (cbrt.f64 (/.f64 2 y)) (*.f64 -1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 y)) 2) (cbrt.f64 (/.f64 2 y)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 y)) 2) (cbrt.f64 (/.f64 2 y)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 y)) (sqrt.f64 (/.f64 2 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 y)) (sqrt.f64 (/.f64 2 y)) (*.f64 (neg.f64 x) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 y)) (sqrt.f64 (/.f64 2 y)) (*.f64 -1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 y)) (sqrt.f64 (/.f64 2 y)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 y)) (sqrt.f64 (/.f64 2 y)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 2 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 2 x) y)))))))

simplify102.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
979×fma-neg_binary64
935×fma-def_binary64
276×cancel-sign-sub-inv_binary64
235×distribute-rgt-in_binary64
153×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029424
184388
2187323
3424323
4989323
52466323
63433323
73704323
84330323
94662323
104690323
114698323
125106323
135106323
145106323
Stop Event
1×saturated
Counts
300 → 276
Calls
Call 1
Inputs
-1
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
-1
-1
(+.f64 (*.f64 2 (/.f64 1 y)) 1)
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(*.f64 -2 (/.f64 x y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(*.f64 -2 (/.f64 x y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
1
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) y)))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) y)))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) y)))
(/.f64 2 y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
Outputs
-1
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
-1
-1
(+.f64 (*.f64 2 (/.f64 1 y)) 1)
(+.f64 1 (/.f64 2 y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(*.f64 -2 (/.f64 x y))
(*.f64 (/.f64 x y) -2)
(*.f64 x (/.f64 -2 y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(*.f64 -2 (/.f64 x y))
(*.f64 (/.f64 x y) -2)
(*.f64 x (/.f64 -2 y))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 1 (*.f64 2 (/.f64 1 y))))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(/.f64 (+.f64 2 (*.f64 -2 x)) y)
(/.f64 (+.f64 2 (*.f64 x -2)) y)
(/.f64 (fma.f64 x -2 2) y)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
1
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) y)))
(fma.f64 -2 (/.f64 x y) (+.f64 1 (/.f64 2 y)))
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y))
(+.f64 1 (/.f64 (fma.f64 x -2 2) y))
(fma.f64 (/.f64 2 y) (-.f64 1 x) 1)
(/.f64 2 y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 2 y) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 2 y) (/.f64 x y))
(/.f64 (-.f64 2 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 2 y) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 2 y) (/.f64 x y))
(/.f64 (-.f64 2 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 2 y) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 2 y) (/.f64 x y))
(/.f64 (-.f64 2 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 2 y) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 2 y) (/.f64 x y))
(/.f64 (-.f64 2 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 2 y) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 2 y) (/.f64 x y))
(/.f64 (-.f64 2 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 2 y) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 2 y) (/.f64 x y))
(/.f64 (-.f64 2 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 2 y) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 2 y) (/.f64 x y))
(/.f64 (-.f64 2 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 2 y) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 2 y) (/.f64 x y))
(/.f64 (-.f64 2 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 2 y) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 2 y) (/.f64 x y))
(/.f64 (-.f64 2 x) y)

eval221.0ms (3.2%)

Compiler

Compiled 8553 to 5397 computations (36.9% saved)

prune82.0ms (1.2%)

Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New5017508
Fresh347
Picked101
Done2810
Total50719526
Error
0b
Counts
526 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
61.7b
(*.f64 1/2 y)
38.2b
(+.f64 1 (/.f64 2 y))
✓30.1b
(/.f64 (neg.f64 y) (-.f64 2 y))
✓0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
30.2b
(*.f64 y (/.f64 1 (+.f64 -2 y)))
✓33.2b
(*.f64 (/.f64 1 (-.f64 2 x)) x)
39.8b
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1)
✓33.2b
(/.f64 x (-.f64 2 x))
38.0b
(-.f64 (/.f64 (neg.f64 x) y) (-.f64 (/.f64 x y) 1))
38.4b
1
45.2b
(*.f64 (*.f64 (/.f64 1 (-.f64 2 y)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
✓23.5b
(/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 1 (-.f64 x y)))
38.0b
(+.f64 1 (*.f64 -2 (/.f64 x y)))
✓55.9b
(*.f64 1/2 x)
39.7b
(-.f64 (/.f64 y x) 1)
48.5b
(/.f64 1/2 (/.f64 1 (-.f64 x y)))
✓54.8b
(*.f64 -1/2 y)
39.7b
-1
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
Compiler

Compiled 165 to 123 computations (25.5% saved)

regimes95.0ms (1.4%)

Counts
39 → 1
Calls
Call 1
Inputs
1
-1
1
-1
1
-1
1
(*.f64 1/2 y)
(*.f64 -1/2 y)
(*.f64 1/2 x)
(-.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 2 y))
(/.f64 x (-.f64 2 x))
(/.f64 (neg.f64 y) (-.f64 2 y))
(/.f64 1/2 (/.f64 1 (-.f64 x y)))
(*.f64 y (/.f64 1 (+.f64 -2 y)))
(*.f64 y (/.f64 1 (+.f64 y 2)))
(*.f64 (/.f64 -1 x) (-.f64 x y))
(*.f64 (/.f64 1 (-.f64 2 x)) x)
(+.f64 1 (*.f64 -2 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (-.f64 (/.f64 x y) 1))
(/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 1 (-.f64 x y)))
(/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1)
(*.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (-.f64 x y))
(-.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 x y) 1))
(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))
(/.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (/.f64 1 (-.f64 x y)))
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))
(*.f64 (*.f64 (/.f64 1 (-.f64 2 y)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(*.f64 (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 (-.f64 2 x) y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 2 (+.f64 x y))))
Outputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
Calls

3 calls:

54.0ms
x
20.0ms
y
10.0ms
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
Compiler

Compiled 333 to 190 computations (42.9% saved)

regimes126.0ms (1.8%)

Counts
21 → 3
Calls
Call 1
Inputs
1
-1
1
-1
1
-1
1
(*.f64 1/2 y)
(*.f64 -1/2 y)
(*.f64 1/2 x)
(-.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 2 y))
(/.f64 x (-.f64 2 x))
(/.f64 (neg.f64 y) (-.f64 2 y))
(/.f64 1/2 (/.f64 1 (-.f64 x y)))
(*.f64 y (/.f64 1 (+.f64 -2 y)))
(*.f64 y (/.f64 1 (+.f64 y 2)))
(*.f64 (/.f64 -1 x) (-.f64 x y))
(*.f64 (/.f64 1 (-.f64 2 x)) x)
(+.f64 1 (*.f64 -2 (/.f64 x y)))
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
Outputs
(/.f64 x (-.f64 2 x))
(/.f64 (neg.f64 y) (-.f64 2 y))
(-.f64 (/.f64 y x) 1)
Calls

2 calls:

89.0ms
y
32.0ms
x
Results
ErrorSegmentsBranch
13.6b3x
15.2b5y
Compiler

Compiled 96 to 67 computations (30.2% saved)

bsearch41.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
3.6112945478218385e+47
2.2634154566712643e+49
18.0ms
-1.1613132633050784e-33
-6.1210462274478155e-34
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes139.0ms (2%)

Counts
13 → 5
Calls
Call 1
Inputs
1
-1
1
-1
1
-1
1
(*.f64 1/2 y)
(*.f64 -1/2 y)
(*.f64 1/2 x)
(-.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 2 y))
(/.f64 x (-.f64 2 x))
Outputs
1
(-.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 2 y))
(/.f64 x (-.f64 2 x))
(+.f64 1 (/.f64 2 y))
Calls

2 calls:

75.0ms
x
60.0ms
y
Results
ErrorSegmentsBranch
20.0b5x
16.3b5y
Compiler

Compiled 39 to 29 computations (25.6% saved)

bsearch90.0ms (1.3%)

Algorithm
4×binary-search
Steps
TimeLeftRight
19.0ms
9665.858507713136
18346.19289436864
33.0ms
-1753701092163.4985
-707390725822.7567
18.0ms
-1.527004534606185e+40
-7.457464532032478e+33
19.0ms
-9.515604362628962e+82
-5.400073380419536e+79
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes102.0ms (1.5%)

Counts
12 → 5
Calls
Call 1
Inputs
1
-1
1
-1
1
-1
1
(*.f64 1/2 y)
(*.f64 -1/2 y)
(*.f64 1/2 x)
(-.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 2 y))
Outputs
(-.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 2 y))
(*.f64 -1/2 y)
1
(-.f64 (/.f64 y x) 1)
Calls

2 calls:

58.0ms
y
42.0ms
x
Results
ErrorSegmentsBranch
20.4b5x
22.6b5y
Compiler

Compiled 34 to 26 computations (23.5% saved)

bsearch129.0ms (1.9%)

Algorithm
4×binary-search
Steps
TimeLeftRight
44.0ms
3.6112945478218385e+47
2.2634154566712643e+49
47.0ms
9.048338993003715e-267
2.993645103134602e-257
19.0ms
-1.4552654011888696e-268
-1.0494961781489583e-271
19.0ms
-0.8400259462492985
-0.007257296734673279
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes89.0ms (1.3%)

Counts
11 → 5
Calls
Call 1
Inputs
1
-1
1
-1
1
-1
1
(*.f64 1/2 y)
(*.f64 -1/2 y)
(*.f64 1/2 x)
(-.f64 (/.f64 y x) 1)
Outputs
(-.f64 (/.f64 y x) 1)
1
(*.f64 -1/2 y)
1
(-.f64 (/.f64 y x) 1)
Calls

2 calls:

48.0ms
y
38.0ms
x
Results
ErrorSegmentsBranch
20.5b5x
21.5b7y
Compiler

Compiled 29 to 22 computations (24.1% saved)

bsearch82.0ms (1.2%)

Algorithm
4×binary-search
Steps
TimeLeftRight
21.0ms
3.6112945478218385e+47
2.2634154566712643e+49
19.0ms
9.048338993003715e-267
2.993645103134602e-257
22.0ms
-1.4552654011888696e-268
-1.0494961781489583e-271
19.0ms
-0.8400259462492985
-0.007257296734673279
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes82.0ms (1.2%)

Counts
10 → 5
Calls
Call 1
Inputs
1
-1
1
-1
1
-1
1
(*.f64 1/2 y)
(*.f64 -1/2 y)
(*.f64 1/2 x)
Outputs
-1
1
(*.f64 -1/2 y)
1
-1
Calls

2 calls:

42.0ms
y
37.0ms
x
Results
ErrorSegmentsBranch
20.7b5x
21.6b7y
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch100.0ms (1.4%)

Algorithm
4×binary-search
Steps
TimeLeftRight
43.0ms
3.238900410564929e+39
1.2393429236011862e+45
18.0ms
9.048338993003715e-267
2.993645103134602e-257
19.0ms
-1.4552654011888696e-268
-1.0494961781489583e-271
19.0ms
-0.8400259462492985
-0.007257296734673279
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes78.0ms (1.1%)

Accuracy

Total -40.8b remaining (-184.1%)

Threshold costs -40.8b (-184.1%)

Counts
8 → 3
Calls
Call 1
Inputs
1
-1
1
-1
1
-1
1
(*.f64 1/2 y)
Outputs
-1
1
-1
Calls

2 calls:

55.0ms
y
20.0ms
x
Results
ErrorSegmentsBranch
22.2b3x
22.8b5y
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch39.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
3.238900410564929e+39
1.2393429236011862e+45
19.0ms
-0.8400259462492985
-0.007257296734673279
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify16.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
059243
176243
291243
3100243
4103243
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(if (<=.f64 x -1697261235774466/1461501637330902918203684832716283019655932542976) (/.f64 x (-.f64 2 x)) (if (<=.f64 x 361129454782183846734344572307808524062162944000) (/.f64 (neg.f64 y) (-.f64 2 y)) (-.f64 (/.f64 y x) 1)))
(if (<=.f64 y -95156043626289617423843249129914203492708065194163260082009531626141398844307406848) 1 (if (<=.f64 y -15270045346061849340209681022340772659200) (-.f64 (/.f64 y x) 1) (if (<=.f64 y -3591579836750845/2048) (+.f64 1 (/.f64 2 y)) (if (<=.f64 y 1328465477708521/137438953472) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 2 y))))))
(if (<=.f64 x -15495743645736505344/18446744073709551616) (-.f64 (/.f64 y x) 1) (if (<=.f64 x -338125665295399/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x 2627936147702219/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (*.f64 -1/2 y) (if (<=.f64 x 361129454782183846734344572307808524062162944000) 1 (-.f64 (/.f64 y x) 1)))))
(if (<=.f64 x -15495743645736505344/18446744073709551616) (-.f64 (/.f64 y x) 1) (if (<=.f64 x -338125665295399/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) 1 (if (<=.f64 x 2627936147702219/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (*.f64 -1/2 y) (if (<=.f64 x 361129454782183846734344572307808524062162944000) 1 (-.f64 (/.f64 y x) 1)))))
(if (<=.f64 x -15495743645736505344/18446744073709551616) -1 (if (<=.f64 x -338125665295399/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) 1 (if (<=.f64 x 2627936147702219/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (*.f64 -1/2 y) (if (<=.f64 x 3238900410564929242811153054876383051776) 1 -1))))
(if (<=.f64 x -15495743645736505344/18446744073709551616) -1 (if (<=.f64 x 3238900410564929242811153054876383051776) 1 -1))
1
Outputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(if (<=.f64 x -1697261235774466/1461501637330902918203684832716283019655932542976) (/.f64 x (-.f64 2 x)) (if (<=.f64 x 361129454782183846734344572307808524062162944000) (/.f64 (neg.f64 y) (-.f64 2 y)) (-.f64 (/.f64 y x) 1)))
(if (<=.f64 x -848630617887233/730750818665451459101842416358141509827966271488) (/.f64 x (-.f64 2 x)) (if (<=.f64 x 361129454782183846734344572307808524062162944000) (/.f64 (neg.f64 y) (-.f64 2 y)) (+.f64 (/.f64 y x) -1)))
(if (<=.f64 y -95156043626289617423843249129914203492708065194163260082009531626141398844307406848) 1 (if (<=.f64 y -15270045346061849340209681022340772659200) (-.f64 (/.f64 y x) 1) (if (<=.f64 y -3591579836750845/2048) (+.f64 1 (/.f64 2 y)) (if (<=.f64 y 1328465477708521/137438953472) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 2 y))))))
(if (<=.f64 y -95156043626289617423843249129914203492708065194163260082009531626141398844307406848) 1 (if (<=.f64 y -15270045346061849340209681022340772659200) (+.f64 (/.f64 y x) -1) (if (<=.f64 y -3591579836750845/2048) (+.f64 1 (/.f64 2 y)) (if (<=.f64 y 1328465477708521/137438953472) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 2 y))))))
(if (<=.f64 x -15495743645736505344/18446744073709551616) (-.f64 (/.f64 y x) 1) (if (<=.f64 x -338125665295399/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x 2627936147702219/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (*.f64 -1/2 y) (if (<=.f64 x 361129454782183846734344572307808524062162944000) 1 (-.f64 (/.f64 y x) 1)))))
(if (<=.f64 x -3783140538509889/4503599627370496) (+.f64 (/.f64 y x) -1) (if (<=.f64 x -338125665295399/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x 2627936147702219/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (*.f64 y -1/2) (if (<=.f64 x 361129454782183846734344572307808524062162944000) 1 (+.f64 (/.f64 y x) -1)))))
(if (<=.f64 x -15495743645736505344/18446744073709551616) (-.f64 (/.f64 y x) 1) (if (<=.f64 x -338125665295399/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) 1 (if (<=.f64 x 2627936147702219/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (*.f64 -1/2 y) (if (<=.f64 x 361129454782183846734344572307808524062162944000) 1 (-.f64 (/.f64 y x) 1)))))
(if (<=.f64 x -3783140538509889/4503599627370496) (+.f64 (/.f64 y x) -1) (if (<=.f64 x -338125665295399/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) 1 (if (<=.f64 x 2627936147702219/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (*.f64 y -1/2) (if (<=.f64 x 361129454782183846734344572307808524062162944000) 1 (+.f64 (/.f64 y x) -1)))))
(if (<=.f64 x -15495743645736505344/18446744073709551616) -1 (if (<=.f64 x -338125665295399/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) 1 (if (<=.f64 x 2627936147702219/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (*.f64 -1/2 y) (if (<=.f64 x 3238900410564929242811153054876383051776) 1 -1))))
(if (<=.f64 x -3783140538509889/4503599627370496) -1 (if (<=.f64 x -338125665295399/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) 1 (if (<=.f64 x 2627936147702219/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (*.f64 y -1/2) (if (<=.f64 x 3238900410564929242811153054876383051776) 1 -1))))
(if (<=.f64 x -15495743645736505344/18446744073709551616) -1 (if (<=.f64 x 3238900410564929242811153054876383051776) 1 -1))
(if (<=.f64 x -3783140538509889/4503599627370496) -1 (if (<=.f64 x 3238900410564929242811153054876383051776) 1 -1))
1

end117.0ms (1.7%)

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1×fuel
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Compiled 360 to 257 computations (28.6% saved)

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