Details

Time bar (total: 10.6s)

analyze121.0ms (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)

sample1.5s (14.5%)

Results
1.5s8256×body256valid

preprocess127.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
1210×fma-neg_binary64
554×div-sub_binary64
400×sub-neg_binary64
367×associate-/l*_binary64
357×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
13326
25426
310626
422826
546426
6125826
7357026
8599826
9687026
10740526
11760726
12771126
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 x (+.f64 y -2)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify135.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1142×fma-neg_binary64
983×fma-def_binary64
651×div-sub_binary64
413×sub-neg_binary64
386×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11813
23513
37713
418813
535713
688613
7239613
8474413
9656713
10714413
11752813
12759613
13761613
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))

eval1.0ms (0%)

Compiler

Compiled 20 to 11 computations (45% 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)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 25 to 10 computations (60% saved)

series7.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite143.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
119713
2309513
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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simplify79.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0109865
1343807
21252693
37180693
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))
(-.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)))
(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 (/.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 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 (-.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 y 2) 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 (*.f64 y 2) x) (+.f64 1 (/.f64 2 x))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -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 (*.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 (fma.f64 y 2 -2) x) -1) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (+.f64 (-.f64 2 y) (/.f64 (pow.f64 (-.f64 2 y) 2) x))))
-1
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 (*.f64 y 2) 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 (*.f64 y 2) x) (+.f64 1 (/.f64 2 x))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -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 (*.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 (fma.f64 y 2 -2) x) -1) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (+.f64 (-.f64 2 y) (/.f64 (pow.f64 (-.f64 2 y) 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))))))
(-.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 (fma.f64 (neg.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (*.f64 y y) (/.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))) (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 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 (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 1 (-.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (*.f64 y y) (-.f64 2 x)))) (/.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 (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (*.f64 y y) (-.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 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 (-.f64 (-.f64 2 x) 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 (*.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 (fma.f64 2 x -2) (*.f64 y y)) (-.f64 2 x)))
(-.f64 1 (*.f64 (+.f64 1 (/.f64 (-.f64 2 x) y)) (/.f64 (fma.f64 2 x -2) 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 (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 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)))))

eval335.0ms (3.2%)

Compiler

Compiled 13853 to 7936 computations (42.7% saved)

prune79.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2538261
Fresh000
Picked011
Done000
Total2539262
Error
0b
Counts
262 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
▶36.4b
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
41.0b
-1
36.7b
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
▶40.7b
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
36.6b
1
▶29.2b
(/.f64 (neg.f64 y) (-.f64 2 y))
▶34.0b
(/.f64 x (-.f64 2 x))
▶0.1b
(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))
Compiler

Compiled 171 to 125 computations (26.9% saved)

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 35 to 17 computations (51.4% saved)

series12.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite101.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
618×prod-diff_binary64
516×log-prod_binary64
303×fma-def_binary64
293×pow2_binary64
203×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
122823
2323423
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))
(/.f64 1 (-.f64 2 (+.f64 x y)))
Outputs
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(*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (neg.f64 (-.f64 2 (+.f64 x y))) (+.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 y (+.f64 x y) (*.f64 x x)) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 (+.f64 x y) (-.f64 2 (+.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 y (+.f64 x y) (*.f64 x x)) (neg.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -1) (*.f64 (+.f64 x y) (neg.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (sqrt.f64 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) 1) (-.f64 2 (+.f64 x 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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 x y) 3) (pow.f64 (-.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 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 3)))))) (#(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 log1p.f64 (expm1.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 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 +.f64 0 (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))) 2)) (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 8 (pow.f64 (+.f64 x y) 3))) (fma.f64 (+.f64 x y) (+.f64 (+.f64 2 x) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 x y) 2))) (+.f64 (+.f64 2 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 2 (+.f64 x y)) -2) 1/2)))) (#(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 log1p.f64 (expm1.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))))))

simplify226.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
645×fma-def_binary64
552×times-frac_binary64
458×associate-/l*_binary64
384×associate-/r*_binary64
341×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01611591
14771533
217161306
Stop Event
1×node limit
Counts
128 → 144
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)))
(+.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 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 (-.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 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 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) (/.f64 (fma.f64 y 2 -2) (/.f64 x (/.f64 (-.f64 2 y) x))))
(fma.f64 (/.f64 (/.f64 (fma.f64 y 2 -2) 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 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (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 (fma.f64 y 2 -2) (/.f64 x (/.f64 (-.f64 2 y) x))) (+.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) (fma.f64 y 2 -2))) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))))
(+.f64 (+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 y 2 -2) 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 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) (/.f64 (fma.f64 y 2 -2) (/.f64 x (/.f64 (-.f64 2 y) x))))
(fma.f64 (/.f64 (/.f64 (fma.f64 y 2 -2) 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 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (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 (fma.f64 y 2 -2) (/.f64 x (/.f64 (-.f64 2 y) x))) (+.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) (fma.f64 y 2 -2))) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))))
(+.f64 (+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 y 2 -2) 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 y (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))))
(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 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))) (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 (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 1 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (*.f64 y y) (-.f64 2 x))))) (/.f64 (neg.f64 (-.f64 2 x)) y))
(+.f64 (/.f64 (-.f64 2 x) y) (+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (fma.f64 -1 x (-.f64 2 x)) (*.f64 y y)) (-.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 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (*.f64 y y) (-.f64 2 x))) (+.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 (fma.f64 -1 x (-.f64 2 x)) (*.f64 y y)) (-.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 (/.f64 (-.f64 2 x) y) 1) (/.f64 (fma.f64 2 x -2) 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 (*.f64 (pow.f64 (-.f64 2 x) 2) (fma.f64 2 x -2)) (pow.f64 y 3)) (+.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 (-.f64 1 (*.f64 (+.f64 (/.f64 (-.f64 2 x) y) 1) (/.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 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 (*.f64 x x) (pow.f64 (-.f64 2 y) 3)) (/.f64 x (pow.f64 (-.f64 2 y) 2))) (/.f64 1 (-.f64 2 y)))
(+.f64 (/.f64 1 (-.f64 2 y)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (/.f64 x (/.f64 (pow.f64 (-.f64 2 y) 3) x))))
(+.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 x (/.f64 (pow.f64 (-.f64 2 y) 3) x))))
(+.f64 (+.f64 (/.f64 1 (-.f64 2 y)) (*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (pow.f64 (-.f64 2 y) 2)))) (/.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 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)))))
(-.f64 (fma.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2) (/.f64 -1 x)) (/.f64 (-.f64 2 y) (*.f64 x 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 y x) x) (-.f64 (+.f64 (*.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2)) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 4)) (+.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)))))
(-.f64 (fma.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2) (/.f64 -1 x)) (/.f64 (-.f64 2 y) (*.f64 x 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 y x) x) (-.f64 (+.f64 (*.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2)) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 4)) (+.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 y (/.f64 (pow.f64 (-.f64 2 x) 3) y))))
(+.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 y (/.f64 (pow.f64 (-.f64 2 x) 3) y)))) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)))
(+.f64 (/.f64 -1 (+.f64 x -2)) (+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (pow.f64 (-.f64 2 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 (+.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 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))) (*.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2)))
(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 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))) (*.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2))) (*.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 4)) (+.f64 x -2)))
(+.f64 (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 (neg.f64 (pow.f64 (-.f64 2 x) 3)) (pow.f64 y 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 (+.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 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))) (*.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2)))
(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 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))) (*.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2))) (*.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 4)) (+.f64 x -2)))
(+.f64 (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 (neg.f64 (pow.f64 (-.f64 2 x) 3)) (pow.f64 y 4)))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 8 computations (33.3% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite107.0ms (1%)

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
216257
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 log1p.f64 (expm1.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 2 x))))))))

simplify72.0ms (0.7%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
037168
1101156
2277153
3886145
42728145
56724145
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)))
(fma.f64 1/2 x (*.f64 x (*.f64 x 1/4)))
(*.f64 x (+.f64 (*.f64 x 1/4) 1/2))
(*.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 1/4 (*.f64 x 1/8))))
(*.f64 x (+.f64 (*.f64 x (fma.f64 x 1/8 1/4)) 1/2))
(*.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 1/4 (*.f64 x 1/8)))))
(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 -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 (+.f64 -1 (/.f64 -2 x)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 -1 (/.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 -2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -4 (*.f64 x x)) (+.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 -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 (+.f64 -1 (/.f64 -2 x)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 -1 (/.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 -2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3)))))

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 9 computations (40% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite123.0ms (1.2%)

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
221307
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 (sqrt.f64 y) 1) (/.f64 (sqrt.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 (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 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) 1) (/.f64 (cbrt.f64 y) (+.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 (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 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 log1p.f64 (expm1.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y 2))))))))

simplify71.0ms (0.7%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
036156
195156
2213154
3550145
41648140
54578140
67882140
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 -1/4 (*.f64 y -1/8))))
(*.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 -1/16 (pow.f64 y 4) (*.f64 -1/2 y))))
(fma.f64 -1/16 (pow.f64 y 4) (*.f64 y (+.f64 -1/2 (*.f64 y (fma.f64 y -1/8 -1/4)))))
(*.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 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 8 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.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 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 8 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 (/.f64 4 y) y) (/.f64 8 (pow.f64 y 3)))))

localize63.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiled 30 to 19 computations (36.7% saved)

series7.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite188.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
795×prod-diff_binary64
605×unpow-prod-down_binary64
430×log-prod_binary64
271×fma-def_binary64
240×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
117117
2263317
Stop Event
1×node limit
Counts
2 → 314
Calls
Call 1
Inputs
(-.f64 (-.f64 2 x) x)
(/.f64 (-.f64 (-.f64 2 x) x) y)
Outputs
((#(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 (neg.f64 x) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 2 (+.f64 x 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) 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 x (+.f64 x (-.f64 2 x)) (pow.f64 (-.f64 2 x) 2))) 1))))) (#(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 (pow.f64 (-.f64 2 x) 2) (*.f64 x x)) (pow.f64 (/.f64 1 (+.f64 x (-.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (-.f64 2 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 x)) 1) (pow.f64 (-.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 (+.f64 x x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 2 (+.f64 x x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 2 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 2 (+.f64 x x)))))))) (#(struct:change #<rule 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simplify91.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
528×fma-def_binary64
304×fma-neg_binary64
93×cancel-sign-sub-inv_binary64
71×div-sub_binary64
58×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018321
135303
258240
384240
4148240
5281240
6498240
7828240
81283240
91842240
101932240
111948240
Stop Event
1×saturated
Counts
350 → 325
Calls
Call 1
Inputs
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 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)
Outputs
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 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)

localize26.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 42 to 28 computations (33.3% saved)

series12.0ms (0.1%)

Counts
2 → 18
Calls

12 calls:

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

rewrite135.0ms (1.3%)

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
2349621
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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(+.f64 -1 (neg.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 (/.f64 x y) -2))) (cbrt.f64 (/.f64 y x)) (*.f64 (+.f64 -1 (neg.f64 (/.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) (+.f64 -1 (neg.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) (*.f64 (+.f64 -1 (neg.f64 (/.f64 2 x))) 1))))))
((#(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 (*.f64 (pow.f64 (/.f64 x y) -2) 4) 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 (*.f64 (pow.f64 (/.f64 x y) -2) 4))))) (#(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 log1p.f64 (expm1.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))))))

simplify99.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
705×fma-def_binary64
637×fma-neg_binary64
283×cancel-sign-sub-inv_binary64
69×sub-neg_binary64
58×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022237
156199
2113163
3184163
4288163
5579163
61221163
71942163
82720163
92966163
102971163
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)

eval731.0ms (6.9%)

Compiler

Compiled 17517 to 10946 computations (37.5% saved)

prune123.0ms (1.2%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New7428750
Fresh213
Picked101
Done145
Total74613759
Error
0b
Counts
759 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶36.6b
(+.f64 1 (/.f64 2 y))
▶0.1b
(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))
36.4b
(+.f64 1 (/.f64 (*.f64 -2 x) y))
36.6b
1
▶55.6b
(*.f64 1/2 x)
▶55.1b
(*.f64 -1/2 y)
36.7b
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
✓0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
▶40.9b
(*.f64 (/.f64 -1 x) (-.f64 x y))
✓29.2b
(/.f64 (neg.f64 y) (-.f64 2 y))
✓34.0b
(/.f64 x (-.f64 2 x))
✓0.1b
(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))
41.0b
-1
Compiler

Compiled 187 to 137 computations (26.7% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 37 to 16 computations (56.8% saved)

series10.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite149.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
722×prod-diff_binary64
574×log-prod_binary64
310×fma-def_binary64
217×log-div_binary64
213×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
123826
2356126
Stop Event
1×node limit
Counts
2 → 172
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))
(/.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 (*.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) 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#<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 x y) 2))) (/.f64 (-.f64 2 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (+.f64 x y))) 1) (/.f64 (sqrt.f64 (-.f64 2 (+.f64 x y))) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2) (cbrt.f64 (pow.f64 (-.f64 x y) 2))) (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (+.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 x y) 2))) (/.f64 (sqrt.f64 (-.f64 2 (+.f64 x y))) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.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 2 (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(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 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 2 (+.f64 x y)) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 2 (+.f64 x y)) (neg.f64 (-.f64 x 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 expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 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 2 (/.f64 1 (-.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))))))))

simplify82.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
723×associate-/l*_binary64
646×associate-/r*_binary64
327×distribute-rgt-in_binary64
308×distribute-lft-in_binary64
284×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01941684
16501554
225241308
Stop Event
1×node limit
Counts
220 → 237
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 (-.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 (-.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)))
(+.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 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (*.f64 (/.f64 x (-.f64 2 y)) x) (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))))) (/.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))))
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(+.f64 (+.f64 (/.f64 2 x) (*.f64 (/.f64 y x) (/.f64 (+.f64 2 (*.f64 y -2)) x))) (-.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 2 (*.f64 y -2))) (fma.f64 2 (/.f64 y x) 1)))
(-.f64 (+.f64 (/.f64 2 x) (*.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) (+.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) y)))) (fma.f64 2 (/.f64 y x) 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)
(fma.f64 (neg.f64 y) (-.f64 (/.f64 1 x) (/.f64 (-.f64 2 x) (*.f64 x x))) (+.f64 (/.f64 2 x) -1))
(+.f64 (/.f64 2 x) (fma.f64 y (+.f64 (/.f64 (-.f64 2 x) (*.f64 x x)) (/.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 (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)
(fma.f64 (neg.f64 y) (-.f64 (/.f64 1 x) (/.f64 (-.f64 2 x) (*.f64 x x))) (+.f64 (-.f64 (/.f64 2 x) (*.f64 y (*.f64 y (+.f64 (/.f64 (+.f64 -2 x) (pow.f64 x 3)) (/.f64 (/.f64 1 x) x))))) -1))
(-.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 (-.f64 (/.f64 2 x) (*.f64 y (*.f64 y (+.f64 (/.f64 (+.f64 -2 x) (pow.f64 x 3)) (/.f64 (/.f64 1 x) x))))) (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 -2 x) (pow.f64 x 4))))) (*.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 -2 x) y) (+.f64 1 (/.f64 x y))) (/.f64 (+.f64 (-.f64 x 2) x) (/.f64 (*.f64 y y) x)))
(-.f64 1 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 (neg.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 (*.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 -1 (-.f64 (-.f64 2 x) x)) (/.f64 (*.f64 y y) x)) (-.f64 (+.f64 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 (/.f64 (+.f64 -2 x) y) (+.f64 1 (*.f64 (/.f64 (+.f64 (-.f64 x 2) x) (pow.f64 y 3)) (*.f64 x x)))) (+.f64 (/.f64 (+.f64 (-.f64 x 2) x) (/.f64 (*.f64 y y) x)) (/.f64 x y)))
(+.f64 (/.f64 x y) (+.f64 (+.f64 1 (/.f64 (+.f64 x -2) y)) (*.f64 (/.f64 (fma.f64 2 x -2) (*.f64 y y)) (+.f64 (/.f64 x (/.f64 y x)) x))))
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 -2 x) y) (+.f64 1 (/.f64 x y))) (/.f64 (+.f64 (-.f64 x 2) x) (/.f64 (*.f64 y y) x)))
(-.f64 1 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 (neg.f64 (fma.f64 2 x -2)) 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) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 -2 x)) (/.f64 (pow.f64 y 3) (*.f64 x x))) (neg.f64 (/.f64 (+.f64 2 (*.f64 -2 x)) (/.f64 (*.f64 y y) x))))))
(+.f64 1 (-.f64 (-.f64 (/.f64 (neg.f64 (+.f64 2 (*.f64 x -2))) y) (*.f64 (/.f64 (+.f64 2 (*.f64 x -2)) (pow.f64 y 3)) (*.f64 x x))) (*.f64 (/.f64 (+.f64 2 (*.f64 x -2)) (*.f64 y y)) x)))
(+.f64 (/.f64 (fma.f64 2 x -2) y) (+.f64 (*.f64 (/.f64 (fma.f64 2 x -2) (*.f64 y y)) (+.f64 (/.f64 x (/.f64 y x)) x)) 1))

localize6.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize10.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize28.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 (/.f64 -1 x) (-.f64 x y))
Compiler

Compiled 18 to 9 computations (50% saved)

series6.0ms (0.1%)

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
@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))

rewrite86.0ms (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
221369
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 log1p.f64 (expm1.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))))))))

simplify19.0ms (0.2%)

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)

eval226.0ms (2.1%)

Compiler

Compiled 9242 to 4030 computations (56.4% saved)

prune85.0ms (0.8%)

Pruning

16 alts after pruning (7 fresh and 9 done)

PrunedKeptTotal
New2774281
Fresh134
Picked011
Done088
Total27816294
Error
0b
Counts
294 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
36.6b
1
✓40.9b
(*.f64 (/.f64 -1 x) (-.f64 x y))
▶40.8b
(/.f64 -1 (/.f64 x (-.f64 x y)))
✓36.6b
(+.f64 1 (/.f64 2 y))
✓0.1b
(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))
✓55.6b
(*.f64 1/2 x)
✓55.1b
(*.f64 -1/2 y)
▶36.7b
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
▶40.8b
(/.f64 (-.f64 x y) (neg.f64 x))
▶36.4b
(+.f64 1 (/.f64 (*.f64 -2 x) y))
✓29.2b
(/.f64 (neg.f64 y) (-.f64 2 y))
▶40.8b
(-.f64 (/.f64 y x) 1)
✓34.0b
(/.f64 x (-.f64 2 x))
✓0.1b
(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))
41.0b
-1
Compiler

Compiled 196 to 140 computations (28.6% saved)

localize9.0ms (0.1%)

Compiler

Compiled 21 to 14 computations (33.3% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts
1 → 6
Calls

6 calls:

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

rewrite52.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
688×pow1_binary64
641×add-log-exp_binary64
640×log1p-expm1-u_binary64
640×expm1-log1p-u_binary64
628×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
217437
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(-.f64 (/.f64 y x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 y x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 y x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 y x) -1)) (sqrt.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 y x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 y x) 2) (+.f64 (/.f64 y x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 y x) 2) -1) (/.f64 1 (+.f64 (/.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 y x)) 1) (-.f64 (sqrt.f64 (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 y x) 2) (+.f64 (/.f64 y x) 1)) (+.f64 (pow.f64 (/.f64 y x) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 y x) 1) (+.f64 (pow.f64 (/.f64 y x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 y x) 3) -1) (+.f64 (pow.f64 (/.f64 y x) 2) (+.f64 (/.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 y x) 3) -1) (+.f64 (pow.f64 (/.f64 y x) 2) (-.f64 1 (*.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 y x) 2) -1) (+.f64 (/.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 y x) 2) -1) (-.f64 (/.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 y x) 2) (+.f64 (/.f64 y x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) 2) -1)) (neg.f64 (+.f64 (/.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 y x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 y x) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 y x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 y x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 y x) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) -1)))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
Stop Event
1×saturated
Counts
38 → 34
Calls
Call 1
Inputs
-1
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
-1
-1
Outputs
-1
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
-1
-1

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite85.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
819×pow1_binary64
768×add-log-exp_binary64
767×log1p-expm1-u_binary64
767×expm1-log1p-u_binary64
751×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11427
224047
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x x) (neg.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 x y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 2) (cbrt.f64 (/.f64 (-.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) (sqrt.f64 (/.f64 (-.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 x y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 x y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) -1) (/.f64 (cbrt.f64 (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) -1) (/.f64 (sqrt.f64 (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) x)))))))

simplify10.0ms (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
60 → 40
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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite68.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
936×pow1_binary64
871×add-log-exp_binary64
871×log1p-expm1-u_binary64
871×expm1-log1p-u_binary64
853×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
115916
2232916
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(/.f64 -1 (/.f64 x (-.f64 x y)))
(/.f64 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 (neg.f64 (-.f64 x y)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (-.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (neg.f64 (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (neg.f64 (-.f64 x y)) x)) (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (-.f64 x y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (-.f64 x y)) x)) 2) (cbrt.f64 (/.f64 (neg.f64 (-.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (neg.f64 (-.f64 x y)) x)) (sqrt.f64 (/.f64 (neg.f64 (-.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 x)) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 x) 1) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (neg.f64 (-.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (neg.f64 (-.f64 x y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (neg.f64 (-.f64 x y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (neg.f64 (-.f64 x y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (neg.f64 x) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (neg.f64 (-.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (neg.f64 (-.f64 x y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (neg.f64 (-.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (neg.f64 (-.f64 x y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (neg.f64 (-.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (neg.f64 (-.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (neg.f64 (-.f64 x y)) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2) (cbrt.f64 (/.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) (sqrt.f64 (/.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 x (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 x (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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 x (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 x y))))))))

simplify47.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
828×fma-neg_binary64
743×associate-/l*_binary64
591×fma-def_binary64
519×associate-*l/_binary64
509×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037621
1112603
2346513
31452483
Stop Event
1×node limit
Counts
110 → 80
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)
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 -1 (/.f64 x y)))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 -1 (/.f64 x y)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 -1 (/.f64 x y)))))
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)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y))))
(-.f64 (neg.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3))
(neg.f64 (fma.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y) (pow.f64 (/.f64 x y) 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (neg.f64 (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(neg.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))
(fma.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))
(+.f64 1 (fma.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x) (pow.f64 (/.f64 y x) 3)))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))
(fma.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))
(+.f64 1 (fma.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x) (pow.f64 (/.f64 y x) 3)))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 1 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))
(fma.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))
(+.f64 1 (fma.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x) (pow.f64 (/.f64 y x) 3)))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y))))
(-.f64 (neg.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3))
(neg.f64 (fma.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y) (pow.f64 (/.f64 x y) 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (neg.f64 (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(neg.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y))))
(-.f64 (neg.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3))
(neg.f64 (fma.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y) (pow.f64 (/.f64 x y) 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (neg.f64 (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(neg.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))))

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 2 x) y)
0.0b
(-.f64 (-.f64 2 x) x)
✓0.1b
(*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1))
✓4.6b
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
Compiler

Compiled 80 to 49 computations (38.8% saved)

series35.0ms (0.3%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
23.0ms
x
@inf
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
3.0ms
x
@0
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
1.0ms
y
@0
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
1.0ms
x
@-inf
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
1.0ms
y
@-inf
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))

rewrite110.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
623×fma-neg_binary64
324×expm1-udef_binary64
323×log1p-udef_binary64
188×add-sqr-sqrt_binary64
183×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01560
136157
2577657
Stop Event
1×node limit
Counts
3 → 134
Calls
Call 1
Inputs
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
(*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1))
(/.f64 (-.f64 2 x) y)
Outputs
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simplify112.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
896×times-frac_binary64
581×fma-neg_binary64
454×associate-/l*_binary64
325×fma-def_binary64
321×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0781622
12651561
27161357
324931270
Stop Event
1×node limit
Counts
194 → 181
Calls
Call 1
Inputs
(+.f64 1 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 2))))) x) (+.f64 1 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 2))))) x) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 2))))) x) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)))))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 2))))) x) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 2))))) x) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 2))))) x) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 6 (/.f64 1 (pow.f64 y 2)))))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 6 (/.f64 1 (pow.f64 y 2)))))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 6 (/.f64 1 (pow.f64 y 2)))))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 2 (/.f64 1 y)))) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 2 (/.f64 1 y)))) (*.f64 2 (/.f64 x y)))
1
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2)) (+.f64 1 (*.f64 2 (/.f64 1 y)))) (*.f64 2 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2)) (+.f64 1 (*.f64 2 (/.f64 1 y)))) (*.f64 2 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) y)))
(+.f64 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) y))))
(+.f64 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) y))))
(*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 4 (/.f64 1 (pow.f64 y 2)))) x))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 4 (/.f64 1 (pow.f64 y 2)))) x)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 4 (/.f64 1 (pow.f64 y 2)))) x)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 4 (/.f64 1 (pow.f64 y 2)))) x))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 4 (/.f64 1 (pow.f64 y 2)))) x)))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 4 (/.f64 1 (pow.f64 y 2)))) x)))
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (/.f64 1 y) (*.f64 6 (/.f64 1 (pow.f64 y 2)))))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (/.f64 1 y) (*.f64 6 (/.f64 1 (pow.f64 y 2)))))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (/.f64 1 y) (*.f64 6 (/.f64 1 (pow.f64 y 2)))))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))) (/.f64 x y))
(/.f64 (-.f64 2 x) y)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))) (/.f64 x y))
(/.f64 (-.f64 2 x) y)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))) (/.f64 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
(+.f64 1 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)))
(+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (/.f64 2 y)) y)))
(fma.f64 2 (/.f64 (+.f64 1 (/.f64 2 y)) y) 1)
(+.f64 1 (/.f64 (+.f64 2 (/.f64 4 y)) y))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 2))))) x) (+.f64 1 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y))))
(fma.f64 (-.f64 (neg.f64 (/.f64 (+.f64 1 (/.f64 2 y)) y)) (+.f64 (/.f64 1 y) (/.f64 4 (*.f64 y y)))) x (+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (/.f64 2 y)) y))))
(fma.f64 (-.f64 (fma.f64 (/.f64 (+.f64 1 (/.f64 2 y)) y) -1 (/.f64 -4 (*.f64 y y))) (/.f64 1 y)) x (fma.f64 2 (/.f64 (+.f64 1 (/.f64 2 y)) y) 1))
(+.f64 1 (fma.f64 (+.f64 (/.f64 (+.f64 -1 (/.f64 -2 y)) y) (+.f64 (/.f64 -4 (*.f64 y y)) (/.f64 -1 y))) x (/.f64 (+.f64 2 (/.f64 4 y)) y)))
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(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (+.f64 (/.f64 1 y) (*.f64 4 (/.f64 1 (pow.f64 y 2))))) x) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)))))
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(fma.f64 (-.f64 (fma.f64 (/.f64 (+.f64 1 (/.f64 2 y)) y) -1 (/.f64 -4 (*.f64 y y))) (/.f64 1 y)) x (fma.f64 2 (+.f64 (/.f64 (+.f64 1 (/.f64 2 y)) y) (*.f64 (/.f64 x y) (/.f64 x y))) 1))
(fma.f64 2 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (+.f64 1 (/.f64 2 y)) y)) (fma.f64 (+.f64 (/.f64 (+.f64 -1 (/.f64 -2 y)) y) (+.f64 (/.f64 -4 (*.f64 y y)) (/.f64 -1 y))) x 1))
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(fma.f64 (-.f64 (fma.f64 (/.f64 (+.f64 1 (/.f64 2 y)) y) -1 (/.f64 -4 (*.f64 y y))) (/.f64 1 y)) x (fma.f64 2 (+.f64 (/.f64 (+.f64 1 (/.f64 2 y)) y) (*.f64 (/.f64 x y) (/.f64 x y))) 1))
(fma.f64 2 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (+.f64 1 (/.f64 2 y)) y)) (fma.f64 (+.f64 (/.f64 (+.f64 -1 (/.f64 -2 y)) y) (+.f64 (/.f64 -4 (*.f64 y y)) (/.f64 -1 y))) x 1))
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(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (/.f64 (*.f64 (*.f64 2 x) x) y) y)
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 2 (/.f64 (/.f64 x (/.f64 y x)) y))
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(fma.f64 (-.f64 (neg.f64 (/.f64 (+.f64 1 (/.f64 2 y)) y)) (+.f64 (/.f64 1 y) (/.f64 4 (*.f64 y y)))) x (*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 1 (/.f64 2 y)) y) -1 (/.f64 -4 (*.f64 y y))) (/.f64 1 y)) x))
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (+.f64 (/.f64 (+.f64 -1 (/.f64 -2 y)) y) (+.f64 (/.f64 -4 (*.f64 y y)) (/.f64 -1 y))) x))
(fma.f64 2 (/.f64 (/.f64 x (/.f64 y x)) y) (*.f64 (+.f64 (/.f64 (-.f64 -1 (/.f64 2 y)) y) (+.f64 (/.f64 -4 (*.f64 y y)) (/.f64 -1 y))) x))
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(fma.f64 2 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (+.f64 1 (/.f64 2 y)) y)) (fma.f64 (+.f64 (/.f64 (+.f64 -1 (/.f64 -2 y)) y) (+.f64 (/.f64 -4 (*.f64 y y)) (/.f64 -1 y))) x 1))
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(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
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(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)))
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(fma.f64 -1 (*.f64 x (+.f64 (/.f64 2 y) (/.f64 6 (*.f64 y y)))) (*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 2 x) x) y) y) (*.f64 x (+.f64 (/.f64 2 y) (/.f64 6 (*.f64 y y)))))
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -2 (*.f64 (/.f64 x (*.f64 y y)) -6)))
(fma.f64 2 (/.f64 (/.f64 x (/.f64 y x)) y) (*.f64 (/.f64 x y) (-.f64 -2 (/.f64 6 y))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 6 (/.f64 1 (pow.f64 y 2)))))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
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(fma.f64 2 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (+.f64 1 (/.f64 2 y)) y)) (fma.f64 (+.f64 (/.f64 2 y) (/.f64 6 (*.f64 y y))) (neg.f64 x) 1))
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(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 6 (/.f64 1 (pow.f64 y 2)))))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1) y)) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
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(+.f64 (fma.f64 2 (+.f64 (/.f64 (+.f64 1 (/.f64 2 y)) y) (*.f64 (/.f64 x y) (/.f64 x y))) 1) (*.f64 (+.f64 (/.f64 2 y) (/.f64 6 (*.f64 y y))) (neg.f64 x)))
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(/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))
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(*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (-.f64 2 (*.f64 2 x)) y))
(*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (fma.f64 x -2 2))
(*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (fma.f64 x -2 2) y))
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(+.f64 (/.f64 2 y) (-.f64 (/.f64 (-.f64 2 (*.f64 2 x)) (/.f64 (*.f64 y y) (-.f64 2 x))) (/.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (-.f64 2 (*.f64 2 x)) y)) (/.f64 (-.f64 2 x) y))
(*.f64 (+.f64 1 (/.f64 (fma.f64 x -2 2) y)) (/.f64 (-.f64 2 x) y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (/.f64 2 y) (-.f64 (/.f64 (-.f64 2 (*.f64 2 x)) (/.f64 (*.f64 y y) (-.f64 2 x))) (/.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (-.f64 2 (*.f64 2 x)) y)) (/.f64 (-.f64 2 x) y))
(*.f64 (+.f64 1 (/.f64 (fma.f64 x -2 2) y)) (/.f64 (-.f64 2 x) y))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 2 x)) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (/.f64 2 y) (-.f64 (/.f64 (-.f64 2 (*.f64 2 x)) (/.f64 (*.f64 y y) (-.f64 2 x))) (/.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (-.f64 2 (*.f64 2 x)) y)) (/.f64 (-.f64 2 x) y))
(*.f64 (+.f64 1 (/.f64 (fma.f64 x -2 2) y)) (/.f64 (-.f64 2 x) y))
(/.f64 2 y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 2 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 2 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 2 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(neg.f64 (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 2 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 2 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 2 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(neg.f64 (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 2 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 2 x) y)
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 2 x) y)

eval430.0ms (4.1%)

Compiler

Compiled 10454 to 6323 computations (39.5% saved)

prune117.0ms (1.1%)

Pruning

17 alts after pruning (4 fresh and 13 done)

PrunedKeptTotal
New4453448
Fresh112
Picked101
Done01313
Total44717464
Error
0b
Counts
464 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
36.6b
1
✓55.1b
(*.f64 -1/2 y)
✓40.9b
(*.f64 (/.f64 -1 x) (-.f64 x y))
✓40.8b
(/.f64 -1 (/.f64 x (-.f64 x y)))
✓36.6b
(+.f64 1 (/.f64 2 y))
40.4b
(/.f64 -1 (+.f64 (/.f64 y x) 1))
✓0.1b
(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))
✓55.6b
(*.f64 1/2 x)
✓0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
✓40.8b
(/.f64 (-.f64 x y) (neg.f64 x))
36.7b
(-.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))) y))
✓36.4b
(+.f64 1 (/.f64 (*.f64 -2 x) y))
✓29.2b
(/.f64 (neg.f64 y) (-.f64 2 y))
✓40.8b
(-.f64 (/.f64 y x) 1)
✓34.0b
(/.f64 x (-.f64 2 x))
✓0.1b
(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))
41.0b
-1
Compiler

Compiled 147 to 107 computations (27.2% saved)

regimes86.0ms (0.8%)

Counts
24 → 1
Calls
Call 1
Inputs
1
1
1
-1
-1
1
(*.f64 1/2 x)
(*.f64 -1/2 y)
(-.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 2 y))
(/.f64 x (-.f64 2 x))
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (neg.f64 y) (-.f64 2 y))
(/.f64 -1 (+.f64 (/.f64 y x) 1))
(/.f64 -1 (/.f64 x (-.f64 x y)))
(+.f64 1 (/.f64 (*.f64 -2 x) y))
(*.f64 (/.f64 -1 x) (-.f64 x y))
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))) y))
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
Outputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
Calls

3 calls:

37.0ms
x
25.0ms
y
12.0ms
(/.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 179 to 111 computations (38% saved)

regimes301.0ms (2.8%)

Counts
18 → 5
Calls
Call 1
Inputs
1
1
1
-1
-1
1
(*.f64 1/2 x)
(*.f64 -1/2 y)
(-.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 2 y))
(/.f64 x (-.f64 2 x))
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (neg.f64 y) (-.f64 2 y))
(/.f64 -1 (+.f64 (/.f64 y x) 1))
(/.f64 -1 (/.f64 x (-.f64 x y)))
(+.f64 1 (/.f64 (*.f64 -2 x) y))
(*.f64 (/.f64 -1 x) (-.f64 x y))
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
Outputs
(+.f64 1 (/.f64 (*.f64 -2 x) y))
(/.f64 -1 (+.f64 (/.f64 y x) 1))
(*.f64 -1/2 y)
(/.f64 x (-.f64 2 x))
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
Calls

2 calls:

182.0ms
y
111.0ms
x
Results
ErrorSegmentsBranch
13.9b5x
12.6b5y
Compiler

Compiled 84 to 54 computations (35.7% saved)

bsearch196.0ms (1.9%)

Algorithm
4×binary-search
Steps
TimeLeftRight
81.0ms
1.7596658380727143e-5
2631072.530604074
32.0ms
-2.1540490425263912e-122
-5.043266620485702e-125
36.0ms
-3.8304254605141083e-20
-8.03521129133944e-22
47.0ms
-3.6452425046897897e+77
-6.873745201071189e+70
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes283.0ms (2.7%)

Counts
17 → 5
Calls
Call 1
Inputs
1
1
1
-1
-1
1
(*.f64 1/2 x)
(*.f64 -1/2 y)
(-.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 2 y))
(/.f64 x (-.f64 2 x))
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (neg.f64 y) (-.f64 2 y))
(/.f64 -1 (+.f64 (/.f64 y x) 1))
(/.f64 -1 (/.f64 x (-.f64 x y)))
(+.f64 1 (/.f64 (*.f64 -2 x) y))
(*.f64 (/.f64 -1 x) (-.f64 x y))
Outputs
(+.f64 1 (/.f64 (*.f64 -2 x) y))
(/.f64 -1 (+.f64 (/.f64 y x) 1))
(*.f64 -1/2 y)
(/.f64 x (-.f64 2 x))
(+.f64 1 (/.f64 (*.f64 -2 x) y))
Calls

2 calls:

165.0ms
y
111.0ms
x
Results
ErrorSegmentsBranch
13.9b5x
12.7b5y
Compiler

Compiled 75 to 48 computations (36% saved)

bsearch71.0ms (0.7%)

Algorithm
4×binary-search
Steps
TimeLeftRight
17.0ms
1.7596658380727143e-5
2631072.530604074
17.0ms
-2.1540490425263912e-122
-5.043266620485702e-125
20.0ms
-3.8304254605141083e-20
-8.03521129133944e-22
17.0ms
-3.6452425046897897e+77
-6.873745201071189e+70
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes278.0ms (2.6%)

Counts
15 → 5
Calls
Call 1
Inputs
1
1
1
-1
-1
1
(*.f64 1/2 x)
(*.f64 -1/2 y)
(-.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 2 y))
(/.f64 x (-.f64 2 x))
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (neg.f64 y) (-.f64 2 y))
(/.f64 -1 (+.f64 (/.f64 y x) 1))
(/.f64 -1 (/.f64 x (-.f64 x y)))
Outputs
1
(/.f64 -1 (+.f64 (/.f64 y x) 1))
(*.f64 -1/2 y)
(/.f64 x (-.f64 2 x))
(/.f64 (neg.f64 y) (-.f64 2 y))
Calls

2 calls:

148.0ms
y
124.0ms
x
Results
ErrorSegmentsBranch
14.0b5x
13.0b5y
Compiler

Compiled 61 to 40 computations (34.4% saved)

bsearch199.0ms (1.9%)

Algorithm
4×binary-search
Steps
TimeLeftRight
19.0ms
1.7596658380727143e-5
2631072.530604074
75.0ms
-2.1540490425263912e-122
-5.043266620485702e-125
78.0ms
-3.8304254605141083e-20
-8.03521129133944e-22
26.0ms
-3.6452425046897897e+77
-6.873745201071189e+70
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes136.0ms (1.3%)

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

2 calls:

95.0ms
y
39.0ms
x
Results
ErrorSegmentsBranch
14.0b5x
13.0b5y
Compiler

Compiled 47 to 33 computations (29.8% saved)

bsearch73.0ms (0.7%)

Algorithm
4×binary-search
Steps
TimeLeftRight
19.0ms
1.7596658380727143e-5
2631072.530604074
17.0ms
-2.1540490425263912e-122
-5.043266620485702e-125
18.0ms
-3.8304254605141083e-20
-8.03521129133944e-22
18.0ms
-3.6452425046897897e+77
-6.873745201071189e+70
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes165.0ms (1.6%)

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

2 calls:

105.0ms
x
52.0ms
y
Results
ErrorSegmentsBranch
19.7b7x
13.0b5y
Compiler

Compiled 41 to 29 computations (29.3% saved)

bsearch118.0ms (1.1%)

Algorithm
4×binary-search
Steps
TimeLeftRight
31.0ms
1.7596658380727143e-5
2631072.530604074
29.0ms
-2.1540490425263912e-122
-5.043266620485702e-125
30.0ms
-3.8304254605141083e-20
-8.03521129133944e-22
28.0ms
-3.6452425046897897e+77
-6.873745201071189e+70
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes200.0ms (1.9%)

Counts
10 → 7
Calls
Call 1
Inputs
1
1
1
-1
-1
1
(*.f64 1/2 x)
(*.f64 -1/2 y)
(-.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 2 y))
Outputs
1
(-.f64 (/.f64 y x) 1)
(*.f64 -1/2 y)
(-.f64 (/.f64 y x) 1)
(*.f64 1/2 x)
-1
(+.f64 1 (/.f64 2 y))
Calls

2 calls:

118.0ms
x
78.0ms
y
Results
ErrorSegmentsBranch
19.7b7x
18.4b7y
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch235.0ms (2.2%)

Algorithm
6×binary-search
Steps
TimeLeftRight
48.0ms
1.7596658380727143e-5
2631072.530604074
28.0ms
6.049310988102626e-255
3.8637835445750857e-252
28.0ms
2.8450445429284417e-296
1.4707494577145415e-294
27.0ms
-2.1540490425263912e-122
-5.043266620485702e-125
75.0ms
-8.93529700142645e-12
-5.056293633557951e-18
29.0ms
-3.6452425046897897e+77
-6.873745201071189e+70
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes177.0ms (1.7%)

Counts
9 → 7
Calls
Call 1
Inputs
1
1
1
-1
-1
1
(*.f64 1/2 x)
(*.f64 -1/2 y)
(-.f64 (/.f64 y x) 1)
Outputs
1
(-.f64 (/.f64 y x) 1)
(*.f64 -1/2 y)
(-.f64 (/.f64 y x) 1)
(*.f64 1/2 x)
-1
1
Calls

2 calls:

116.0ms
y
57.0ms
x
Results
ErrorSegmentsBranch
19.7b7x
18.5b7y
Compiler

Compiled 25 to 19 computations (24% saved)

bsearch215.0ms (2%)

Algorithm
6×binary-search
Steps
TimeLeftRight
96.0ms
1.7596658380727143e-5
2631072.530604074
19.0ms
6.049310988102626e-255
3.8637835445750857e-252
22.0ms
2.8450445429284417e-296
1.4707494577145415e-294
17.0ms
-2.1540490425263912e-122
-5.043266620485702e-125
42.0ms
-8.93529700142645e-12
-5.056293633557951e-18
19.0ms
-3.6452425046897897e+77
-6.873745201071189e+70
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes80.0ms (0.8%)

Counts
8 → 7
Calls
Call 1
Inputs
1
1
1
-1
-1
1
(*.f64 1/2 x)
(*.f64 -1/2 y)
Outputs
1
-1
(*.f64 -1/2 y)
-1
(*.f64 1/2 x)
-1
1
Calls

2 calls:

41.0ms
y
37.0ms
x
Results
ErrorSegmentsBranch
19.9b7x
18.5b7y
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch132.0ms (1.2%)

Algorithm
6×binary-search
Steps
TimeLeftRight
29.0ms
1.7596658380727143e-5
2631072.530604074
23.0ms
6.049310988102626e-255
3.8637835445750857e-252
20.0ms
2.8450445429284417e-296
1.4707494577145415e-294
20.0ms
-2.1540490425263912e-122
-5.043266620485702e-125
20.0ms
-8.93529700142645e-12
-5.056293633557951e-18
20.0ms
-3.6452425046897897e+77
-6.873745201071189e+70
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes109.0ms (1%)

Counts
7 → 5
Calls
Call 1
Inputs
1
1
1
-1
-1
1
(*.f64 1/2 x)
Outputs
1
-1
(*.f64 1/2 x)
-1
1
Calls

2 calls:

55.0ms
y
52.0ms
x
Results
ErrorSegmentsBranch
21.2b5x
20.1b5y
Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch136.0ms (1.3%)

Algorithm
4×binary-search
Steps
TimeLeftRight
35.0ms
1.7596658380727143e-5
2631072.530604074
36.0ms
6.049310988102626e-255
3.8637835445750857e-252
33.0ms
2.8450445429284417e-296
1.4707494577145415e-294
31.0ms
-3.6452425046897897e+77
-6.873745201071189e+70
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes174.0ms (1.6%)

Counts
6 → 5
Calls
Call 1
Inputs
1
1
1
-1
-1
1
Outputs
-1
1
-1
1
-1
Calls

2 calls:

99.0ms
x
73.0ms
y
Results
ErrorSegmentsBranch
21.2b5x
21.3b3y
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch173.0ms (1.6%)

Algorithm
4×binary-search
Steps
TimeLeftRight
34.0ms
2.567085650239426e+170
6.251266567319524e+175
45.0ms
3.3124289141001742e+97
1.9711936048559254e+104
58.0ms
3.5042244519584246e+77
8.555496891711387e+77
35.0ms
-5.891967999708948e+55
-6.1842600313874574e+35
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes34.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
3 → 1
Calls
Call 1
Inputs
1
1
1
Outputs
1
Calls

2 calls:

24.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
36.6b1x
36.6b1y
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify61.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
094542
1117542
2133542
3142542
4145542
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) (+.f64 1 (/.f64 (*.f64 -2 x) y)) (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 -1 (+.f64 (/.f64 y x) 1)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) (+.f64 1 (/.f64 (*.f64 -2 x) y)) (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 -1 (+.f64 (/.f64 y x) 1)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 (*.f64 -2 x) y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 -1 (+.f64 (/.f64 y x) 1)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 x (-.f64 2 x)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 x (-.f64 2 x)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 2 y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -691335120060775/77371252455336267181195264) (-.f64 (/.f64 y x) 1) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) (-.f64 (/.f64 y x) 1) (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 1/2 x) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 (+.f64 1 (/.f64 2 y))))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -691335120060775/77371252455336267181195264) (-.f64 (/.f64 y x) 1) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) (-.f64 (/.f64 y x) 1) (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 1/2 x) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 1))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -691335120060775/77371252455336267181195264) -1 (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) -1 (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 1/2 x) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 1))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) -1 (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 1/2 x) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 1))))
(if (<=.f64 x -58919679997089484577172041444945244818844702269071425536) -1 (if (<=.f64 x 350422445195842455477625368618626597488824876532504839239572410865104531226624) 1 (if (<=.f64 x 33124289141001742056074180864989182069691062255914315025882683025888405068138488663731382951870464) -1 (if (<=.f64 x 256708565023942617488557247161452134311633111753817443735661140531123579231510995391673374696403158449539197144278229332409478393993480726860065090462516310345945846906880) 1 -1))))
1
Outputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) (+.f64 1 (/.f64 (*.f64 -2 x) y)) (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 -1 (+.f64 (/.f64 y x) 1)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) (+.f64 1 (/.f64 (*.f64 x -2) y)) (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 -1 (+.f64 1 (/.f64 y x))) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 y -1/2) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) (+.f64 1 (/.f64 (*.f64 -2 x) y)) (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 -1 (+.f64 (/.f64 y x) 1)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 (*.f64 -2 x) y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) (+.f64 1 (/.f64 (*.f64 x -2) y)) (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 -1 (+.f64 1 (/.f64 y x))) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 y -1/2) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 (*.f64 x -2) y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 -1 (+.f64 (/.f64 y x) 1)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 -1 (+.f64 1 (/.f64 y x))) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 y -1/2) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 x (-.f64 2 x)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 x (-.f64 2 x)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 y -1/2) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 x (-.f64 2 x)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 2 y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -795548243419169/20769187434139310514121985316880384) (/.f64 x (-.f64 2 x)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 y -1/2) (if (<=.f64 y 5193616859228319/295147905179352825856) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 2 y))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -691335120060775/77371252455336267181195264) (-.f64 (/.f64 y x) 1) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) (-.f64 (/.f64 y x) 1) (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 1/2 x) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 (+.f64 1 (/.f64 2 y))))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -691335120060775/77371252455336267181195264) (+.f64 (/.f64 y x) -1) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 y -1/2) (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) (+.f64 (/.f64 y x) -1) (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 x 1/2) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 (+.f64 1 (/.f64 2 y))))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -691335120060775/77371252455336267181195264) (+.f64 -1 (/.f64 y x)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 y -1/2) (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) (+.f64 -1 (/.f64 y x)) (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 x 1/2) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 (+.f64 1 (/.f64 2 y))))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -691335120060775/77371252455336267181195264) (-.f64 (/.f64 y x) 1) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) (-.f64 (/.f64 y x) 1) (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 1/2 x) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 1))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -691335120060775/77371252455336267181195264) (+.f64 (/.f64 y x) -1) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 y -1/2) (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) (+.f64 (/.f64 y x) -1) (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 x 1/2) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 1))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -691335120060775/77371252455336267181195264) (+.f64 -1 (/.f64 y x)) (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 y -1/2) (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) (+.f64 -1 (/.f64 y x)) (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 x 1/2) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 1))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -691335120060775/77371252455336267181195264) -1 (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 -1/2 y) (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) -1 (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 1/2 x) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 1))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y -691335120060775/77371252455336267181195264) -1 (if (<=.f64 y -8016108841677085/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (*.f64 y -1/2) (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) -1 (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 x 1/2) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 1))))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) -1 (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 1/2 x) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 1))))
(if (<=.f64 y -364524250468978973174346757315507287493083805421067145751121223508412868853760) 1 (if (<=.f64 y 2618632726118377/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) -1 (if (<=.f64 y 6391635824307009/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (*.f64 x 1/2) (if (<=.f64 y 5193616859228319/295147905179352825856) -1 1))))
(if (<=.f64 x -58919679997089484577172041444945244818844702269071425536) -1 (if (<=.f64 x 350422445195842455477625368618626597488824876532504839239572410865104531226624) 1 (if (<=.f64 x 33124289141001742056074180864989182069691062255914315025882683025888405068138488663731382951870464) -1 (if (<=.f64 x 256708565023942617488557247161452134311633111753817443735661140531123579231510995391673374696403158449539197144278229332409478393993480726860065090462516310345945846906880) 1 -1))))
1
Compiler

Compiled 404 to 297 computations (26.5% saved)

soundness0.0ms (0%)

end258.0ms (2.4%)

Compiler

Compiled 382 to 270 computations (29.3% saved)

Profiling

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