Details

Time bar (total: 4.9s)

analyze132.0ms (2.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.7%0.1%8
56.2%43.7%0.1%9
60.9%39%0.1%10
76.5%23.4%0.1%11
79.2%20.7%0.1%12
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample964.0ms (19.5%)

Results
951.0ms8256×body256valid
0.0ms1×body256invalid

preprocess59.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
609×cancel-sign-sub-inv_binary64
398×associate-*l/_binary64
335×associate-*l*_binary64
324×distribute-rgt-out--_binary64
304×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
13526
28920
320120
440220
5109620
6520220
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 (*.f64 x 2) y))
(/.f64 (-.f64 y x) (*.f64 (*.f64 y 2) x))
Outputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 (-.f64 y x) (*.f64 (*.f64 y 2) x))
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y 2)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify61.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
921×fma-neg_binary64
628×times-frac_binary64
467×neg-mul-1_binary64
305×*-commutative_binary64
304×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0813
11913
25310
312410
425610
554110
6108410
7406810
8790010
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Outputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y)))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

eval1.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
▶12.6b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 20 to 14 computations (30% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 12 computations (33.3% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite73.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
709×prod-diff_binary64
570×unpow-prod-down_binary64
410×log-prod_binary64
269×fma-def_binary64
233×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116810
2251010
Stop Event
1×node limit
Counts
1 → 152
Calls
Call 1
Inputs
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
Outputs
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simplify34.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
141×fma-def_binary64
102×fma-neg_binary64
46×cancel-sign-sub-inv_binary64
24×sub-neg_binary64
21×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013204
127204
243204
362204
491204
5140204
6229204
7322204
8400204
9513204
10567204
11573204
Stop Event
1×saturated
Counts
176 → 155
Calls
Call 1
Inputs
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
Outputs
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓12.2b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 25 to 13 computations (48% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite181.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
847×prod-diff_binary64
567×log-prod_binary64
393×egg-rr
254×pow2_binary64
208×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
118413
2286313
Stop Event
1×node limit
Counts
1 → 393
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Outputs
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(-.f64 x y) (*.f64 x (*.f64 y 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 x (*.f64 y 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (*.f64 x (neg.f64 (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 x (*.f64 y 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (*.f64 x (*.f64 y 2))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (*.f64 y 2)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x x)) (/.f64 x y) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 y 2))) 2) (cbrt.f64 (/.f64 1 (*.f64 y 2))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (*.f64 y 2))) (sqrt.f64 (/.f64 1 (*.f64 y 2))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (/.f64 x (*.f64 y 2)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (/.f64 x (+.f64 x x)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 x (cbrt.f64 (*.f64 x (*.f64 y 2)))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 x (sqrt.f64 (*.f64 x (*.f64 y 2)))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -1) (/.f64 (cbrt.f64 x) (*.f64 y 2)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (*.f64 y 2)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (+.f64 x x)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (+.f64 x x)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (+.f64 x x)) (/.f64 (sqrt.f64 x) y) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x)) (/.f64 (cbrt.f64 x) y) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 x (*.f64 y 2))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 y 2))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x (*.f64 y 2)))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 x (*.f64 y 2)))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (neg.f64 (/.f64 1 (+.f64 x x))))))))

simplify48.0ms (1%)

Algorithm
1×egg-herbie
Rules
141×fma-def_binary64
102×fma-neg_binary64
46×cancel-sign-sub-inv_binary64
24×sub-neg_binary64
21×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013204
127204
243204
362204
491204
5140204
6229204
7322204
8400204
9513204
10567204
11573204
Stop Event
1×saturated
Counts
417 → 397
Calls
Call 1
Inputs
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
Outputs
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

eval433.0ms (8.8%)

Compiler

Compiled 23287 to 14094 computations (39.5% saved)

prune256.0ms (5.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New5484552
Fresh000
Picked011
Done011
Total5486554
Error
0b
Counts
554 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.4b
(/.f64 1/2 y)
▶9.1b
(pow.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) -1)
▶9.1b
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y)
✓0.0b
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
▶30.9b
(/.f64 -1/2 x)
✓12.6b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 56 to 39 computations (30.4% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize161.0ms (3.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x)
✓8.5b
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y)
Compiler

Compiled 38 to 25 computations (34.2% saved)

series8.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite79.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
651×log-prod_binary64
463×fma-def_binary64
298×pow2_binary64
239×fma-neg_binary64
208×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0923
122123
2347019
Stop Event
1×node limit
Counts
2 → 114
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y)
(/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -1/2 y) (*.f64 y x)) (/.f64 (*.f64 -1/2 x) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -1/2 (/.f64 y x)) y) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (-.f64 y x)) (/.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (-.f64 y x)) 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simplify161.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
1364×fma-neg_binary64
613×div-sub_binary64
516×fma-def_binary64
281×associate-/l/_binary64
210×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016372
135372
256372
378372
4121372
5222372
6438372
7682372
8930372
91258372
101499372
112146372
123652372
135054372
145412372
155578372
165640372
175900372
186076372
196080372
Stop Event
1×saturated
Counts
162 → 122
Calls
Call 1
Inputs
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(*.f64 -1/2 (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(*.f64 -1/2 (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(*.f64 -1/2 (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
Outputs
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(*.f64 -1/2 (/.f64 y x))
(/.f64 (*.f64 -1/2 y) x)
(/.f64 -1/2 (/.f64 x y))
(/.f64 y (/.f64 x -1/2))
(*.f64 y (/.f64 -1/2 x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(*.f64 -1/2 (/.f64 y x))
(/.f64 (*.f64 -1/2 y) x)
(/.f64 -1/2 (/.f64 x y))
(/.f64 y (/.f64 x -1/2))
(*.f64 y (/.f64 -1/2 x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(*.f64 -1/2 (/.f64 y x))
(/.f64 (*.f64 -1/2 y) x)
(/.f64 -1/2 (/.f64 x y))
(/.f64 y (/.f64 x -1/2))
(*.f64 y (/.f64 -1/2 x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)

localize142.0ms (2.9%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x y) (+.f64 x x))
✓0.0b
(pow.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) -1)
✓8.4b
(/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))
Compiler

Compiled 38 to 9 computations (76.3% saved)

series16.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

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

rewrite428.0ms (8.7%)

Algorithm
1×batch-egg-rewrite
Rules
832×prod-diff_binary64
559×log-prod_binary64
259×fma-def_binary64
221×egg-rr
199×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0939
121436
2364536
Stop Event
1×node limit
Counts
3 → 325
Calls
Call 1
Inputs
(/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))
(pow.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) -1)
(/.f64 (-.f64 x y) (+.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 y (-.f64 x y))) (*.f64 x (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (-.f64 x y)) x) (*.f64 (/.f64 y (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (+.f64 x x) (-.f64 x y)))) (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (+.f64 x x) (-.f64 x y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (+.f64 x x) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 (+.f64 x x) (-.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 (+.f64 x x) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 (+.f64 x x) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) (+.f64 x x)) (pow.f64 (*.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) (+.f64 x x)) 2) (*.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (+.f64 x x) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 y (-.f64 x y))) (+.f64 x x)) (*.f64 (sqrt.f64 (/.f64 y (-.f64 x y))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 (+.f64 x x) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 x y)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (*.f64 (-.f64 x y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 (-.f64 x y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (-.f64 x y)) (/.f64 (sqrt.f64 y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x y)) (*.f64 y (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (-.f64 x y)) (/.f64 (cbrt.f64 y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 (-.f64 x y)) (+.f64 x x)) 2)) (/.f64 y (*.f64 (cbrt.f64 (-.f64 x y)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (*.f64 (cbrt.f64 (-.f64 x y)) (+.f64 x x)) 2)) (*.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (*.f64 (cbrt.f64 (-.f64 x y)) (+.f64 x x)) 2)) (/.f64 (sqrt.f64 y) (*.f64 (cbrt.f64 (-.f64 x y)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x x))) (/.f64 y (*.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x x))) (/.f64 (cbrt.f64 y) (*.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (+.f64 x x) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 (-.f64 x y))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (-.f64 x y)) 1) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (-.f64 x y)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (*.f64 y (+.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) (+.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 y (-.f64 x y))) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 y (+.f64 x x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (+.f64 x x) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 y) (/.f64 (+.f64 x x) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) 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simplify71.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
607×fma-def_binary64
525×associate-/l/_binary64
364×fma-neg_binary64
308×times-frac_binary64
275×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101864
1333852
21378810
35512810
Stop Event
1×node limit
Counts
397 → 355
Calls
Call 1
Inputs
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x)))))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)) (pow.f64 y 2)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)) (pow.f64 y 2))))) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)) (pow.f64 y 2)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)) (pow.f64 y 2))) (/.f64 (*.f64 x (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x))) (pow.f64 y 3)))))) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 y) (*.f64 1/2 y)) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 y) (*.f64 1/2 y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1/2 y) (*.f64 1/2 y)))))) (pow.f64 x 3))))) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 y) (*.f64 1/2 y)) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (/.f64 (*.f64 y (+.f64 (*.f64 -1/2 y) (*.f64 1/2 y))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 y) (*.f64 1/2 y)) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))))) (*.f64 1/2 (/.f64 1 x)))
(*.f64 -1/2 (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(*.f64 -1/2 (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(*.f64 -1/2 (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
Outputs
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 y (/.f64 (*.f64 y y) x)))
(*.f64 2 (+.f64 y (/.f64 y (/.f64 x y))))
(*.f64 2 (+.f64 y (*.f64 (/.f64 y x) y)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (*.f64 y y) x))))
(*.f64 2 (+.f64 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (*.f64 x x))) y))
(*.f64 2 (+.f64 y (*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y))))
(*.f64 2 (+.f64 y (*.f64 (/.f64 y x) (+.f64 y (*.f64 (/.f64 y x) y)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (*.f64 y y) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 2 (+.f64 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (*.f64 x x))) y)))
(*.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) (+.f64 y (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 2 (+.f64 (*.f64 (/.f64 y x) (+.f64 y (*.f64 (/.f64 y x) y))) (+.f64 y (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))
(*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))
(*.f64 -2 (+.f64 x (/.f64 x (/.f64 y x))))
(*.f64 -2 (+.f64 x (*.f64 (/.f64 x y) x)))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) x))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x)))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 -2 (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))))
(*.f64 -2 (+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(*.f64 -2 (+.f64 (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))) (/.f64 (pow.f64 x 4) (pow.f64 y 3))))
(*.f64 -2 (+.f64 (+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)))) (/.f64 (pow.f64 x 4) (pow.f64 y 3))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))
(*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))
(*.f64 -2 (+.f64 x (/.f64 x (/.f64 y x))))
(*.f64 -2 (+.f64 x (*.f64 (/.f64 x y) x)))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) x))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x)))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 -2 (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))))
(*.f64 -2 (+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(*.f64 -2 (+.f64 (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))) (/.f64 (pow.f64 x 4) (pow.f64 y 3))))
(*.f64 -2 (+.f64 (+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)))) (/.f64 (pow.f64 x 4) (pow.f64 y 3))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))
(*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))
(*.f64 -2 (+.f64 x (/.f64 x (/.f64 y x))))
(*.f64 -2 (+.f64 x (*.f64 (/.f64 x y) x)))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) x))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x)))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 -2 (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))))
(*.f64 -2 (+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(*.f64 -2 (+.f64 (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))) (/.f64 (pow.f64 x 4) (pow.f64 y 3))))
(*.f64 -2 (+.f64 (+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)))) (/.f64 (pow.f64 x 4) (pow.f64 y 3))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 y (/.f64 (*.f64 y y) x)))
(*.f64 2 (+.f64 y (/.f64 y (/.f64 x y))))
(*.f64 2 (+.f64 y (*.f64 (/.f64 y x) y)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (*.f64 y y) x))))
(*.f64 2 (+.f64 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (*.f64 x x))) y))
(*.f64 2 (+.f64 y (*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y))))
(*.f64 2 (+.f64 y (*.f64 (/.f64 y x) (+.f64 y (*.f64 (/.f64 y x) y)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (*.f64 y y) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 2 (+.f64 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (*.f64 x x))) y)))
(*.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) (+.f64 y (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 2 (+.f64 (*.f64 (/.f64 y x) (+.f64 y (*.f64 (/.f64 y x) y))) (+.f64 y (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 y (/.f64 (*.f64 y y) x)))
(*.f64 2 (+.f64 y (/.f64 y (/.f64 x y))))
(*.f64 2 (+.f64 y (*.f64 (/.f64 y x) y)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (*.f64 y y) x))))
(*.f64 2 (+.f64 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (*.f64 x x))) y))
(*.f64 2 (+.f64 y (*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y))))
(*.f64 2 (+.f64 y (*.f64 (/.f64 y x) (+.f64 y (*.f64 (/.f64 y x) y)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (*.f64 y y) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 2 (+.f64 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (*.f64 x x))) y)))
(*.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) (+.f64 y (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 2 (+.f64 (*.f64 (/.f64 y x) (+.f64 y (*.f64 (/.f64 y x) y))) (+.f64 y (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)) (pow.f64 y 2)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)) (pow.f64 y 2))))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)) (pow.f64 y 2)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)) (pow.f64 y 2))) (/.f64 (*.f64 x (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x))) (pow.f64 y 3)))))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 y) (*.f64 1/2 y)) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 y) (*.f64 1/2 y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1/2 y) (*.f64 1/2 y)))))) (pow.f64 x 3))))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 y) (*.f64 1/2 y)) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (+.f64 (/.f64 (*.f64 y (+.f64 (*.f64 -1/2 y) (*.f64 1/2 y))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 y) (*.f64 1/2 y)) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 y x))
(/.f64 y (/.f64 x -1/2))
(/.f64 (*.f64 y -1/2) x)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 -1/2 (/.f64 y x))
(/.f64 y (/.f64 x -1/2))
(/.f64 (*.f64 y -1/2) x)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 -1/2 (/.f64 y x))
(/.f64 y (/.f64 x -1/2))
(/.f64 (*.f64 y -1/2) x)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)

eval415.0ms (8.4%)

Compiler

Compiled 12753 to 4640 computations (63.6% saved)

prune105.0ms (2.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New4752477
Fresh000
Picked101
Done145
Total4776483
Error
0b
Counts
483 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶9.1b
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y)
✓12.6b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
▶8.4b
(/.f64 1 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))))
✓32.4b
(/.f64 1/2 y)
✓0.0b
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
✓30.9b
(/.f64 -1/2 x)
Compiler

Compiled 54 to 38 computations (29.6% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))))
✓0.0b
(/.f64 (+.f64 x x) (-.f64 x y))
✓7.9b
(*.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))
Compiler

Compiled 38 to 9 computations (76.3% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite131.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
567×prod-diff_binary64
505×log-prod_binary64
255×pow2_binary64
246×fma-def_binary64
196×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0939
120636
2324836
Stop Event
1×node limit
Counts
3 → 121
Calls
Call 1
Inputs
(*.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))
(/.f64 (+.f64 x x) (-.f64 x y))
(/.f64 1 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) 2) (/.f64 x (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) 2) (/.f64 x (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) 2) (/.f64 x (-.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) 2) (/.f64 x (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (-.f64 x y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x (-.f64 x y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x y) (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))) (sqrt.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 x x)) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (+.f64 x x))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (+.f64 x x))) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 x x)) 1) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 x x)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (*.f64 y (+.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) 2) (/.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 x (-.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 2 (/.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 x y))) (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 x y))) 2) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 x y)))) (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x y)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) -2) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 x (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x y) -1/2) (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (-.f64 x y))) (/.f64 x (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) 1) (*.f64 2 (/.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x x) (pow.f64 (-.f64 x y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 x y) (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x x) (pow.f64 (-.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2 (/.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (+.f64 x x) (pow.f64 (-.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 x y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) -2)) (cbrt.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)) (sqrt.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) (+.f64 x x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (-.f64 x y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (+.f64 x x))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (+.f64 x x)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (+.f64 x x)) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) 1) (*.f64 (-.f64 x y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))) -2) (cbrt.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x x)) y)) 1))))))

simplify148.0ms (3%)

Algorithm
1×egg-herbie
Rules
1089×associate-/r/_binary64
700×associate-/l/_binary64
459×associate-+l+_binary64
369×distribute-lft-out_binary64
366×fma-def_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0691209
12021173
26301053
323841023
44442951
55092942
65787942
76558942
86856942
Stop Event
1×node limit
Counts
193 → 155
Calls
Call 1
Inputs
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 -2 (/.f64 x y))
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(*.f64 -2 (/.f64 x y))
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(*.f64 -2 (/.f64 x y))
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
Outputs
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 y (/.f64 (*.f64 y y) x)))
(*.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) y))
(*.f64 2 (*.f64 y (+.f64 (/.f64 y x) 1)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (*.f64 y y) x))))
(*.f64 2 (+.f64 y (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(*.f64 2 (+.f64 y (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 (*.f64 y y) x))))
(fma.f64 2 y (*.f64 (*.f64 y (/.f64 y x)) (fma.f64 2 (/.f64 y x) 2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (*.f64 y y) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 2 (+.f64 y (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(*.f64 2 (+.f64 (+.f64 y (/.f64 y (pow.f64 (/.f64 x y) 3))) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 (*.f64 y y) x))))
(*.f64 2 (+.f64 y (*.f64 (*.f64 y (/.f64 y x)) (+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) 1))))))
(*.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(*.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (+.f64 y (/.f64 y (pow.f64 (/.f64 x y) 2)))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))
(*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))
(*.f64 -2 (+.f64 x (/.f64 x (/.f64 y x))))
(*.f64 -2 (+.f64 x (*.f64 (/.f64 x y) x)))
(*.f64 -2 (+.f64 x (*.f64 x (/.f64 x y))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x)))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 -2 (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))))
(*.f64 -2 (+.f64 x (*.f64 (*.f64 x (/.f64 x y)) (+.f64 (/.f64 x y) 1))))
(*.f64 -2 (+.f64 x (*.f64 x (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(*.f64 -2 (+.f64 (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))) (*.f64 (pow.f64 (/.f64 x y) 3) x)))
(+.f64 (*.f64 x -2) (*.f64 (/.f64 -2 y) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 (pow.f64 x 3) y)))))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (+.f64 x (*.f64 x (pow.f64 (/.f64 x y) 2)))))
(*.f64 -2 (*.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 (pow.f64 (/.f64 x y) 2) 1)))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))
(*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))
(*.f64 -2 (+.f64 x (/.f64 x (/.f64 y x))))
(*.f64 -2 (+.f64 x (*.f64 (/.f64 x y) x)))
(*.f64 -2 (+.f64 x (*.f64 x (/.f64 x y))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x)))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 -2 (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))))
(*.f64 -2 (+.f64 x (*.f64 (*.f64 x (/.f64 x y)) (+.f64 (/.f64 x y) 1))))
(*.f64 -2 (+.f64 x (*.f64 x (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(*.f64 -2 (+.f64 (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))) (*.f64 (pow.f64 (/.f64 x y) 3) x)))
(+.f64 (*.f64 x -2) (*.f64 (/.f64 -2 y) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 (pow.f64 x 3) y)))))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (+.f64 x (*.f64 x (pow.f64 (/.f64 x y) 2)))))
(*.f64 -2 (*.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 (pow.f64 (/.f64 x y) 2) 1)))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))
(*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))
(*.f64 -2 (+.f64 x (/.f64 x (/.f64 y x))))
(*.f64 -2 (+.f64 x (*.f64 (/.f64 x y) x)))
(*.f64 -2 (+.f64 x (*.f64 x (/.f64 x y))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x)))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 -2 (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))))
(*.f64 -2 (+.f64 x (*.f64 (*.f64 x (/.f64 x y)) (+.f64 (/.f64 x y) 1))))
(*.f64 -2 (+.f64 x (*.f64 x (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(*.f64 -2 (+.f64 (+.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))) (*.f64 (pow.f64 (/.f64 x y) 3) x)))
(+.f64 (*.f64 x -2) (*.f64 (/.f64 -2 y) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 (pow.f64 x 3) y)))))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (+.f64 x (*.f64 x (pow.f64 (/.f64 x y) 2)))))
(*.f64 -2 (*.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 (pow.f64 (/.f64 x y) 2) 1)))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 y (/.f64 (*.f64 y y) x)))
(*.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) y))
(*.f64 2 (*.f64 y (+.f64 (/.f64 y x) 1)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (*.f64 y y) x))))
(*.f64 2 (+.f64 y (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(*.f64 2 (+.f64 y (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 (*.f64 y y) x))))
(fma.f64 2 y (*.f64 (*.f64 y (/.f64 y x)) (fma.f64 2 (/.f64 y x) 2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (*.f64 y y) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 2 (+.f64 y (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(*.f64 2 (+.f64 (+.f64 y (/.f64 y (pow.f64 (/.f64 x y) 3))) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 (*.f64 y y) x))))
(*.f64 2 (+.f64 y (*.f64 (*.f64 y (/.f64 y x)) (+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) 1))))))
(*.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(*.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (+.f64 y (/.f64 y (pow.f64 (/.f64 x y) 2)))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 y (/.f64 (*.f64 y y) x)))
(*.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) y))
(*.f64 2 (*.f64 y (+.f64 (/.f64 y x) 1)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (*.f64 y y) x))))
(*.f64 2 (+.f64 y (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(*.f64 2 (+.f64 y (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 (*.f64 y y) x))))
(fma.f64 2 y (*.f64 (*.f64 y (/.f64 y x)) (fma.f64 2 (/.f64 y x) 2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (*.f64 y y) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 2 (+.f64 y (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(*.f64 2 (+.f64 (+.f64 y (/.f64 y (pow.f64 (/.f64 x y) 3))) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 (*.f64 y y) x))))
(*.f64 2 (+.f64 y (*.f64 (*.f64 y (/.f64 y x)) (+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) 1))))))
(*.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(*.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (+.f64 y (/.f64 y (pow.f64 (/.f64 x y) 2)))))
(*.f64 -2 (/.f64 x y))
(/.f64 x (/.f64 y -2))
(*.f64 (/.f64 -2 y) x)
(*.f64 x (/.f64 -2 y))
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 -2 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)))
(*.f64 (/.f64 x y) (+.f64 -2 (*.f64 x (/.f64 -2 y))))
(*.f64 -2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(*.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 -2 y)))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 -2 (+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 -2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))))
(*.f64 -2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) 1))))
(*.f64 -2 (+.f64 (pow.f64 (/.f64 x y) 3) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(*.f64 -2 (+.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(*.f64 -2 (+.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))))
(*.f64 -2 (*.f64 (+.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) 1))))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3))))
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 2)
(+.f64 2 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (*.f64 2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x)))))
(fma.f64 2 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) 2)
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 2)
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) 1)) 2)
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 2 (fma.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))))))
(+.f64 2 (*.f64 2 (+.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(fma.f64 2 (+.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))) 2)
(fma.f64 2 (+.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) 1))) 2)
(*.f64 (+.f64 (/.f64 y x) 1) (fma.f64 (/.f64 2 x) (*.f64 y (/.f64 y x)) 2))
(*.f64 (+.f64 (/.f64 y x) 1) (fma.f64 2 (pow.f64 (/.f64 y x) 2) 2))
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 2)
(+.f64 2 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (*.f64 2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x)))))
(fma.f64 2 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) 2)
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 2)
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) 1)) 2)
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 2 (fma.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))))))
(+.f64 2 (*.f64 2 (+.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(fma.f64 2 (+.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))) 2)
(fma.f64 2 (+.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) 1))) 2)
(*.f64 (+.f64 (/.f64 y x) 1) (fma.f64 (/.f64 2 x) (*.f64 y (/.f64 y x)) 2))
(*.f64 (+.f64 (/.f64 y x) 1) (fma.f64 2 (pow.f64 (/.f64 y x) 2) 2))
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 2)
(+.f64 2 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (*.f64 2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x)))))
(fma.f64 2 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) 2)
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 2)
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) 1)) 2)
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 2 (fma.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))))))
(+.f64 2 (*.f64 2 (+.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(fma.f64 2 (+.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))) 2)
(fma.f64 2 (+.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) 1))) 2)
(*.f64 (+.f64 (/.f64 y x) 1) (fma.f64 (/.f64 2 x) (*.f64 y (/.f64 y x)) 2))
(*.f64 (+.f64 (/.f64 y x) 1) (fma.f64 2 (pow.f64 (/.f64 y x) 2) 2))
(*.f64 -2 (/.f64 x y))
(/.f64 x (/.f64 y -2))
(*.f64 (/.f64 -2 y) x)
(*.f64 x (/.f64 -2 y))
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 -2 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)))
(*.f64 (/.f64 x y) (+.f64 -2 (*.f64 x (/.f64 -2 y))))
(*.f64 -2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(*.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 -2 y)))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 -2 (+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 -2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))))
(*.f64 -2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) 1))))
(*.f64 -2 (+.f64 (pow.f64 (/.f64 x y) 3) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(*.f64 -2 (+.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(*.f64 -2 (+.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))))
(*.f64 -2 (*.f64 (+.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) 1))))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3))))
(*.f64 -2 (/.f64 x y))
(/.f64 x (/.f64 y -2))
(*.f64 (/.f64 -2 y) x)
(*.f64 x (/.f64 -2 y))
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 -2 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)))
(*.f64 (/.f64 x y) (+.f64 -2 (*.f64 x (/.f64 -2 y))))
(*.f64 -2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(*.f64 x (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 -2 y)))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 -2 (+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 -2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))))
(*.f64 -2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) 1))))
(*.f64 -2 (+.f64 (pow.f64 (/.f64 x y) 3) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(*.f64 -2 (+.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(*.f64 -2 (+.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))))
(*.f64 -2 (*.f64 (+.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) 1))))
(*.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3))))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

localize44.0ms (0.9%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓8.5b
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y)
Compiler

Compiled 29 to 15 computations (48.3% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite114.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
501×log-prod_binary64
387×exp-prod_binary64
274×pow-prod-down_binary64
256×pow2_binary64
179×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
118911
2272211
Stop Event
1×node limit
Counts
1 → 122
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y)
Outputs
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simplify46.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
141×fma-def_binary64
102×fma-neg_binary64
46×cancel-sign-sub-inv_binary64
24×sub-neg_binary64
21×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013204
127204
243204
362204
491204
5140204
6229204
7322204
8400204
9513204
10567204
11573204
Stop Event
1×saturated
Counts
146 → 126
Calls
Call 1
Inputs
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
Outputs
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

eval164.0ms (3.3%)

Compiler

Compiled 5543 to 3285 computations (40.7% saved)

prune59.0ms (1.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2810281
Fresh000
Picked011
Done055
Total2816287
Error
0b
Counts
287 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓9.1b
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y)
✓12.6b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
✓8.4b
(/.f64 1 (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y))))
✓32.4b
(/.f64 1/2 y)
✓0.0b
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
✓30.9b
(/.f64 -1/2 x)
Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes19.0ms (0.4%)

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

3 calls:

6.0ms
y
5.0ms
x
5.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 83 to 49 computations (41% saved)

regimes37.0ms (0.8%)

Accuracy

Total -49.6b remaining (-406%)

Threshold costs -49.6b (-406%)

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

2 calls:

24.0ms
y
12.0ms
x
Results
ErrorSegmentsBranch
12.2b3x
12.7b5y
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch88.0ms (1.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
1.607095444701197e+30
1.418438047786735e+41
70.0ms
-7.673100998773441e+40
-2.593076489085183e+37
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×sub-neg_binary64
1×*-commutative_binary64
1×distribute-neg-frac_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01638
11838
22538
32738
42838
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(if (<=.f64 x -76731009987734407822349205227285860319232) (/.f64 1/2 y) (if (<=.f64 x 1607095444701197112049823383552) (/.f64 -1/2 x) (/.f64 1/2 y)))
(/.f64 1/2 y)
Outputs
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(if (<=.f64 x -76731009987734407822349205227285860319232) (/.f64 1/2 y) (if (<=.f64 x 1607095444701197112049823383552) (/.f64 -1/2 x) (/.f64 1/2 y)))
(/.f64 1/2 y)
Compiler

Compiled 33 to 25 computations (24.2% saved)

soundness168.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
921×fma-neg_binary64
628×times-frac_binary64
467×neg-mul-1_binary64
305×*-commutative_binary64
304×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0813
11913
25310
312410
425610
554110
6108410
7406810
8790010
Stop Event
1×node limit
Compiler

Compiled 303 to 219 computations (27.7% saved)

end28.0ms (0.6%)

Compiler

Compiled 29 to 21 computations (27.6% saved)

Profiling

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