Details

Time bar (total: 5.7s)

analyze134.0ms (2.4%)

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)

sample1.3s (22.4%)

Results
1.3s8256×body256valid
0.0ms1×body256invalid

preprocess59.0ms (1%)

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)

simplify62.0ms (1.1%)

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)

prune2.0ms (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))
▶17.6b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 20 to 14 computations (30% saved)

localize8.0ms (0.1%)

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

rewrite80.0ms (1.4%)

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 (0.6%)

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))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓16.9b
(/.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
y
@inf
(/.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))

rewrite199.0ms (3.5%)

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))))))))

simplify49.0ms (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
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))

eval537.0ms (9.5%)

Compiler

Compiled 23287 to 14094 computations (39.5% saved)

prune148.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New5475552
Fresh000
Picked011
Done011
Total5477554
Error
0b
Counts
554 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
▶31.4b
(/.f64 -1/2 x)
▶7.6b
(fma.f64 (/.f64 1 (+.f64 x x)) (/.f64 x y) (neg.f64 (/.f64 1 (+.f64 x x))))
▶32.0b
(/.f64 1/2 y)
▶34.2b
(/.f64 (-.f64 (pow.f64 (*.f64 x -2) -2) (/.f64 1/4 (*.f64 y y))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
▶7.9b
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y)
✓17.6b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 142 to 100 computations (29.6% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓7.1b
(fma.f64 (/.f64 1 (+.f64 x x)) (/.f64 x y) (neg.f64 (/.f64 1 (+.f64 x x))))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite54.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
776×pow1_binary64
726×add-log-exp_binary64
725×log1p-expm1-u_binary64
725×expm1-log1p-u_binary64
710×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0920
119514
2282514
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(fma.f64 (/.f64 1 (+.f64 x x)) (/.f64 x y) (neg.f64 (/.f64 1 (+.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (*.f64 (/.f64 x y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (+.f64 x x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x y) (+.f64 x x)) 1) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x y) (+.f64 x x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 x y) (+.f64 x x)) 0) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x))) 2) (cbrt.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x))) (sqrt.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x x)) 3) (+.f64 x x)) (+.f64 (*.f64 (*.f64 (/.f64 x y) (+.f64 x x)) (*.f64 (/.f64 x y) (+.f64 x x))) (-.f64 (+.f64 x x) (*.f64 (*.f64 (/.f64 x y) (+.f64 x x)) (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) (+.f64 x x)) (*.f64 (/.f64 x y) (+.f64 x x))) (+.f64 x x)) (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 x x) (/.f64 x y) (+.f64 x x))))))))

simplify33.0ms (0.6%)

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
47 → 27
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))

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)

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x)
✓7.3b
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y)
Compiler

Compiled 38 to 25 computations (34.2% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/.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
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)

rewrite76.0ms (1.3%)

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)) (*.f64 (/.f64 1 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 2) (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) (sqrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (-.f64 y x)) x) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (fma.f64 -1/2 (/.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 y) (/.f64 (-.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 y x) 2))) y) (/.f64 (cbrt.f64 (*.f64 -1/2 (-.f64 y x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) y) (/.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (-.f64 y x)) 1) (/.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (-.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (-.f64 y x)) (sqrt.f64 y)) (/.f64 (/.f64 1 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (fma.f64 -1/2 (/.f64 y x) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y x) (*.f64 -1/2 (-.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (fma.f64 -1/2 (/.f64 y x) 1/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/2 (/.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (/.f64 y x) 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (/.f64 y x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 y x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (-.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (-.f64 y x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (-.f64 y x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (/.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 y x) 2))) (*.f64 (cbrt.f64 (*.f64 -1/2 (-.f64 y x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) (*.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 y x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 -1/2 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 x (cbrt.f64 x))) (/.f64 (-.f64 y x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (*.f64 -1/2 (-.f64 y x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 (-.f64 y x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (*.f64 -1/2 (-.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 y x) 2))) 1) (/.f64 (cbrt.f64 (*.f64 -1/2 (-.f64 y x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) 1) (/.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 y x) 2))) (/.f64 x (cbrt.f64 x))) (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) (/.f64 x (cbrt.f64 x))) (/.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 y x) 2))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 -1/2 (-.f64 y x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 -1/2 (-.f64 y x)) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -1/2 (-.f64 y x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 y x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -1/2 (-.f64 y x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 y x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 y) (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (/.f64 y x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 y x))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 y x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 y x))) (sqrt.f64 (*.f64 -1/2 (/.f64 y x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (/.f64 x (cbrt.f64 x))) (/.f64 y (cbrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (*.f64 -1/2 y) (cbrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (/.f64 (*.f64 -1/2 y) (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y 1) (/.f64 -1/2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 y) 2)) 1) (/.f64 (cbrt.f64 (*.f64 -1/2 y)) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 y)) 1) (/.f64 (sqrt.f64 (*.f64 -1/2 y)) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (/.f64 x (cbrt.f64 x))) (/.f64 -1/2 (cbrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 y) 2)) (/.f64 x (cbrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 -1/2 y)) (cbrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 y)) (/.f64 x (cbrt.f64 x))) (/.f64 (sqrt.f64 (*.f64 -1/2 y)) (cbrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 -1/2 (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 y) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 -1/2 y)) (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 y)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 -1/2 y)) (sqrt.f64 x)) 1/2)))))

simplify165.0ms (2.9%)

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)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
✓0.3b
(/.f64 1/4 (*.f64 y y))
✓4.4b
(-.f64 (pow.f64 (*.f64 x -2) -2) (/.f64 1/4 (*.f64 y y)))
✓31.9b
(/.f64 (-.f64 (pow.f64 (*.f64 x -2) -2) (/.f64 1/4 (*.f64 y y))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
Compiler

Compiled 66 to 43 computations (34.8% saved)

series14.0ms (0.2%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
4.0ms
y
@0
(/.f64 (-.f64 (pow.f64 (*.f64 x -2) -2) (/.f64 1/4 (*.f64 y y))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
2.0ms
x
@0
(/.f64 (-.f64 (pow.f64 (*.f64 x -2) -2) (/.f64 1/4 (*.f64 y y))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
1.0ms
x
@inf
(/.f64 (-.f64 (pow.f64 (*.f64 x -2) -2) (/.f64 1/4 (*.f64 y y))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
1.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (*.f64 x -2) -2) (/.f64 1/4 (*.f64 y y))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
1.0ms
y
@inf
(/.f64 (-.f64 (pow.f64 (*.f64 x -2) -2) (/.f64 1/4 (*.f64 y y))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))

rewrite173.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
708×fma-def_binary64
365×fma-neg_binary64
306×expm1-udef_binary64
306×log1p-udef_binary64
225×egg-rr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01561
136541
2560941
Stop Event
1×node limit
Counts
4 → 453
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (*.f64 x -2) -2) (/.f64 1/4 (*.f64 y y))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(-.f64 (pow.f64 (*.f64 x -2) -2) (/.f64 1/4 (*.f64 y y)))
(/.f64 1/4 (*.f64 y y))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -1/2 (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x -2) -4))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2)))) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 x -2)) 1/2 (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 y 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x -2)) -1) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (*.f64 x -2)) -1) (pow.f64 (sqrt.f64 (*.f64 x -2)) -1) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x -2) -1/2) (pow.f64 (*.f64 x -2) -1/2) (/.f64 -1/2 y))))))

simplify96.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
687×distribute-neg-frac_binary64
645×associate-/l*_binary64
622×fma-neg_binary64
517×div-sub_binary64
437×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029858
170822
2141822
3284822
4722822
52211822
65749822
Stop Event
1×node limit
Counts
537 → 468
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)))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 -1/4 (pow.f64 y 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 -1/4 (pow.f64 y 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 -1/4 (pow.f64 y 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(/.f64 -1/2 y)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(/.f64 -1/2 y)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(/.f64 -1/2 y)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.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))
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(/.f64 1/2 y)
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(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
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(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
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(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
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(/.f64 1/2 y)
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(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
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(-.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))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (*.f64 y y))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (*.f64 y y))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (*.f64 y y))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (*.f64 y y))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (*.f64 y y))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (*.f64 y y))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (*.f64 y y))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (*.f64 y y))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (*.f64 y y))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (*.f64 y y))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (*.f64 y y))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (*.f64 y y))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 -1/2 y)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 -1/2 y)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 -1/2 y)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))

eval502.0ms (8.9%)

Compiler

Compiled 14601 to 10905 computations (25.3% saved)

prune122.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New6143617
Fresh000
Picked101
Done336
Total6186624
Error
0b
Counts
624 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶34.0b
(/.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
▶7.9b
(/.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)) y)
✓0.0b
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
✓31.4b
(/.f64 -1/2 x)
▶7.9b
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y)
✓32.0b
(/.f64 1/2 y)
Compiler

Compiled 62 to 45 computations (27.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 y x) x)
✓7.3b
(/.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)) y)
Compiler

Compiled 29 to 10 computations (65.5% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite75.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
543×log-prod_binary64
492×prod-diff_binary64
299×pow-prod-down_binary64
261×pow2_binary64
202×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
118920
2298420
Stop Event
1×node limit
Counts
2 → 103
Calls
Call 1
Inputs
(/.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)) y)
(/.f64 (-.f64 y x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (+.f64 (/.f64 y x) -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (/.f64 y (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (+.f64 (/.f64 y x) -1) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 y x) -1) (*.f64 -1/2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))) 2) (cbrt.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) 2) (*.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))) (sqrt.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) (*.f64 (sqrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 y x) -1) 1/2) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 y x) -1) 1) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) 2) 1) (/.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) 1) (/.f64 (sqrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 (/.f64 y x) -1) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 y x) -1) (pow.f64 (cbrt.f64 y) 2)) (/.f64 -1/2 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 y)) (/.f64 (+.f64 (/.f64 y x) -1) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 y x) -1) (sqrt.f64 y)) (/.f64 -1/2 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (pow.f64 (/.f64 y (+.f64 (/.f64 y x) -1)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 y (+.f64 (/.f64 y x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -2 (/.f64 y (+.f64 (/.f64 y x) -1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y (+.f64 (/.f64 y x) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1/2 y) (+.f64 (/.f64 y x) -1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 y x) -1) 1/2) (*.f64 (+.f64 (/.f64 y x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 y x) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 y x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 y x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 y x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 y x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 y x) -1)) (sqrt.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (-.f64 y x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (-.f64 y x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (/.f64 x (cbrt.f64 x))) (cbrt.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (/.f64 x (cbrt.f64 x))) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 y x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 y x) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 y x) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 y x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (-.f64 y x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 y x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 y x) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y x) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 x) x) (/.f64 y (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (/.f64 y (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 x (cbrt.f64 x))) (/.f64 (cbrt.f64 y) (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (/.f64 x (cbrt.f64 x))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) (sqrt.f64 x)) -1)))))

simplify51.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
016345
132345
248345
366345
495345
5144345
6233345
7325345
8406345
9519345
10573345
11579345
Stop Event
1×saturated
Counts
151 → 109
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
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
-1
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
-1
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
(-.f64 (/.f64 y x) 1)
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
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
-1
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
-1
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)

localize52.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 -1/4 y) y)
✓0.2b
(/.f64 1/4 (*.f64 x x))
✓4.4b
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
✓31.9b
(/.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
Compiler

Compiled 66 to 40 computations (39.4% saved)

series46.0ms (0.8%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
34.0ms
y
@0
(/.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
1.0ms
x
@0
(/.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
1.0ms
y
@inf
(/.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
1.0ms
x
@inf
(/.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
1.0ms
x
@0
(/.f64 1/4 (*.f64 x x))

rewrite168.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
765×fma-def_binary64
445×fma-neg_binary64
319×expm1-udef_binary64
319×log1p-udef_binary64
187×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01558
136554
2581954
Stop Event
1×node limit
Counts
4 → 205
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 y) y)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/4 (pow.f64 x -2) (/.f64 -1/4 (*.f64 y y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 (*.f64 1/4 (pow.f64 x -2)) (/.f64 -1/4 (*.f64 y y)))) (/.f64 (pow.f64 (/.f64 -1/4 (*.f64 y y)) 2) (-.f64 (*.f64 1/4 (pow.f64 x -2)) (/.f64 -1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/4 (pow.f64 x -2) (/.f64 -1/4 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/4 (pow.f64 x -2) (/.f64 -1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (/.f64 -1/4 (*.f64 y y)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (/.f64 -1/4 (*.f64 y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (/.f64 -1/4 (*.f64 y y)))) 2) (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (/.f64 -1/4 (*.f64 y y)))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 x -1) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (pow.f64 x -1) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/2 x)) (*.f64 (sqrt.f64 (/.f64 -1/2 x)) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 x) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 x) (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 x) -1/2) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 x) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/64 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/4 (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (/.f64 1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 (/.f64 1 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/4 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/4 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/4 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/4 (*.f64 y y))) (pow.f64 (cbrt.f64 (/.f64 -1/4 (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 (*.f64 y y))) 2) (cbrt.f64 (/.f64 -1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 y)) 2) (*.f64 (cbrt.f64 (/.f64 -1/4 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1/4) y) (/.f64 (sqrt.f64 -1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/4 y)) (*.f64 (sqrt.f64 (/.f64 -1/4 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 y) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 -1/4 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -1/4 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1/4 y)) 1) (/.f64 (sqrt.f64 (/.f64 -1/4 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/4 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 -1/4 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 -1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1/4 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (/.f64 -1/4 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/4 (sqrt.f64 y)) (/.f64 (/.f64 1 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (/.f64 -1/4 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 -1/4 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/4 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/4 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1/4) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/64 (pow.f64 (*.f64 y y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1/4 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1/4 (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1/64 (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/4 (*.f64 y y))) 1))))))

simplify167.0ms (3%)

Algorithm
1×egg-herbie
Rules
684×distribute-neg-frac_binary64
566×associate-*l/_binary64
562×fma-def_binary64
514×associate-/l*_binary64
448×associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025702
158702
2103702
3201702
4508702
51753702
65829702
Stop Event
1×node limit
Counts
277 → 215
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)))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 -1/4 (pow.f64 y 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 -1/4 (pow.f64 y 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 -1/4 (pow.f64 y 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (pow.f64 y 2))
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 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))
(/.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 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (*.f64 y y)))
(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
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(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
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(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (*.f64 y y)))
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(-.f64 (/.f64 (/.f64 -1/4 y) y) (/.f64 -1/4 (*.f64 x x)))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(/.f64 (/.f64 -1/4 y) y)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -1/2 (/.f64 y x))
✓7.3b
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y)
Compiler

Compiled 29 to 15 computations (48.3% saved)

series9.0ms (0.2%)

Counts
2 → 24
Calls

12 calls:

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

rewrite99.0ms (1.8%)

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
0818
118918
2272218
Stop Event
1×node limit
Counts
2 → 157
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y)
(*.f64 -1/2 (/.f64 y x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 y x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 -1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 -1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 -1/2 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 -1/2 y) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 -1/2 y) x)))) (sqrt.f64 (log.f64 (/.f64 (*.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 -1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 -1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 -1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 -1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 -1/2 y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 -1/2 y) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 -1/2 y) x)) 3) 1/3))))))

simplify55.0ms (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
181 → 161
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))

eval309.0ms (5.5%)

Compiler

Compiled 10499 to 7094 computations (32.4% saved)

prune115.0ms (2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New4850485
Fresh000
Picked011
Done055
Total4856491
Error
0b
Counts
491 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓34.0b
(/.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
✓7.9b
(/.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)) y)
✓0.0b
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
✓31.4b
(/.f64 -1/2 x)
✓7.9b
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y)
✓32.0b
(/.f64 1/2 y)
Compiler

Compiled 62 to 45 computations (27.4% saved)

regimes64.0ms (1.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(/.f64 -1/2 x)
(/.f64 1/2 y)
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)) y)
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y)
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y)
(/.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (/.f64 -1/4 y) y)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 (+.f64 x x)) (/.f64 x y) (neg.f64 (/.f64 1 (+.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x -2) -2) (/.f64 1/4 (*.f64 y y))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
Outputs
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
Calls

3 calls:

32.0ms
x
13.0ms
y
11.0ms
(/.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 123 to 80 computations (35% saved)

regimes95.0ms (1.7%)

Accuracy

Total -47.4b remaining (-328.1%)

Threshold costs -47.4b (-328.1%)

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

2 calls:

73.0ms
y
20.0ms
x
Results
ErrorSegmentsBranch
14.4b3x
14.6b7y
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch110.0ms (2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
6.58596946072525e+54
2.5465497366498984e+66
75.0ms
-1.7380881775249175e-33
-2.1383363011461233e-38
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify10.0ms (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 -317527339659769/182687704666362864775460604089535377456991567872) (/.f64 1/2 y) (if (<=.f64 x 6585969460725249750951189787261449680349752201918283776) (/.f64 -1/2 x) (/.f64 1/2 y)))
(/.f64 -1/2 x)
Outputs
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(if (<=.f64 x -317527339659769/182687704666362864775460604089535377456991567872) (/.f64 1/2 y) (if (<=.f64 x 6585969460725249750951189787261449680349752201918283776) (/.f64 -1/2 x) (/.f64 1/2 y)))
(/.f64 -1/2 x)
Compiler

Compiled 33 to 25 computations (24.2% saved)

soundness225.0ms (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)

end79.0ms (1.4%)

Compiler

Compiled 29 to 21 computations (27.6% saved)

Profiling

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