Details

Time bar (total: 4.4s)

analyze133.0ms (3%)

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)

sample866.0ms (19.8%)

Results
853.0ms8256×body256valid

preprocess79.0ms (1.8%)

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)

simplify74.0ms (1.7%)

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

Useful iterations: 2 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 12 computations (33.3% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
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))

rewrite77.0ms (1.8%)

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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simplify64.0ms (1.5%)

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))

eval124.0ms (2.8%)

Compiler

Compiled 2856 to 2153 computations (24.6% saved)

prune48.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1514155
Fresh000
Picked011
Done000
Total1515156
Error
0b
Counts
156 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.1b
(fma.f64 (sqrt.f64 (/.f64 -1/2 y)) (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (/.f64 -1/2 x))
✓0.0b
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
▶31.8b
(/.f64 -1/2 x)
▶31.3b
(/.f64 1/2 y)
▶5.9b
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y)
Compiler

Compiled 47 to 36 computations (23.4% saved)

localize7.0ms (0.2%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize44.0ms (1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize33.0ms (0.8%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x)
✓5.5b
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y)
Compiler

Compiled 38 to 25 computations (34.2% saved)

series44.0ms (1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
31.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x)
2.0ms
y
@-inf
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y)
2.0ms
y
@0
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y)
2.0ms
y
@inf
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y)
1.0ms
x
@0
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y)

rewrite104.0ms (2.4%)

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)))))

simplify215.0ms (4.9%)

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)

localize35.0ms (0.8%)

Local error

Found 2 expressions with local error:

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

Compiled 33 to 24 computations (27.3% saved)

series18.0ms (0.4%)

Counts
2 → 14
Calls

9 calls:

TimeVariablePointExpression
4.0ms
y
@0
(fma.f64 (sqrt.f64 (/.f64 -1/2 y)) (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (/.f64 -1/2 x))
4.0ms
y
@inf
(fma.f64 (sqrt.f64 (/.f64 -1/2 y)) (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (/.f64 -1/2 x))
3.0ms
x
@0
(fma.f64 (sqrt.f64 (/.f64 -1/2 y)) (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (/.f64 -1/2 x))
2.0ms
y
@-inf
(fma.f64 (sqrt.f64 (/.f64 -1/2 y)) (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (/.f64 -1/2 x))
1.0ms
y
@-inf
(sqrt.f64 (/.f64 -1/2 y))

rewrite95.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
841×pow1_binary64
780×add-log-exp_binary64
778×log1p-expm1-u_binary64
778×expm1-log1p-u_binary64
763×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0926
119516
2243916
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (/.f64 -1/2 y)) (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (/.f64 -1/2 x))
(sqrt.f64 (/.f64 -1/2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -1/2 y) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (/.f64 -1/2 y) 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -1/2 y) 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sqrt.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/2 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1/2 y))) (cbrt.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/2 y)) (cbrt.f64 (sqrt.f64 (/.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/2 y)) (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1/2 y) 1/4) (pow.f64 (/.f64 -1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1/2 y) 1/4) (neg.f64 (pow.f64 (/.f64 -1/2 y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1/2) (sqrt.f64 (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1/2) (pow.f64 (pow.f64 y -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1/2) (/.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (sqrt.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 y) 2))) (sqrt.f64 (cbrt.f64 (/.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 y) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (cbrt.f64 (sqrt.f64 (/.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (/.f64 -1/2 y) 1/4)) (pow.f64 (/.f64 -1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (/.f64 -1/2 y))) (cbrt.f64 (sqrt.f64 (/.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (/.f64 -1/2 y) 1/4)) (pow.f64 (/.f64 -1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/2) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (sqrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 -1/2)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 -1/2)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (/.f64 -1/2 y) 3/2)) (+.f64 0 (+.f64 (/.f64 -1/2 y) (*.f64 0 (sqrt.f64 (/.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (/.f64 -1/2 y)) (sqrt.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sqrt.f64 -1/2)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/2 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/2 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/2 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sqrt.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/2 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 -1/2 y))))))))

simplify90.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
603×fma-neg_binary64
366×cancel-sign-sub-inv_binary64
345×neg-mul-1_binary64
344×neg-sub0_binary64
285×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016187
135110
269110
3117110
4239110
5638110
62387110
74767110
86346110
97500110
Stop Event
1×unsound
Counts
77 → 68
Calls
Call 1
Inputs
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
Outputs
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 (/.f64 (pow.f64 (sqrt.f64 -1/2) 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 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 (/.f64 (pow.f64 (sqrt.f64 -1/2) 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 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 (/.f64 (pow.f64 (sqrt.f64 -1/2) 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 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y))
(neg.f64 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y))
(/.f64 1/2 y)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 (/.f64 (pow.f64 (sqrt.f64 -1/2) 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 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 (/.f64 (pow.f64 (sqrt.f64 -1/2) 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 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 (/.f64 (pow.f64 (sqrt.f64 -1/2) 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 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y))
(neg.f64 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y))
(/.f64 1/2 y)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 (/.f64 (pow.f64 (sqrt.f64 -1/2) 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 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 (/.f64 (pow.f64 (sqrt.f64 -1/2) 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 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 (/.f64 (pow.f64 (sqrt.f64 -1/2) 2) y)) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

eval136.0ms (3.1%)

Compiler

Compiled 3417 to 2382 computations (30.3% saved)

prune52.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2312233
Fresh000
Picked101
Done134
Total2335238
Error
0b
Counts
238 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
✓31.8b
(/.f64 -1/2 x)
▶6.1b
(/.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)) y)
✓31.3b
(/.f64 1/2 y)
▶5.9b
(/.f64 (pow.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) -1) y)
Compiler

Compiled 43 to 31 computations (27.9% saved)

localize19.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 y x) x)
✓0.2b
(*.f64 -1/2 (/.f64 (-.f64 y x) x))
✓5.5b
(/.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)) y)
Compiler

Compiled 29 to 10 computations (65.5% saved)

series16.0ms (0.4%)

Counts
3 → 72
Calls

18 calls:

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

rewrite111.0ms (2.5%)

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
0830
118930
2298430
Stop Event
1×node limit
Counts
3 → 130
Calls
Call 1
Inputs
(/.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)) y)
(*.f64 -1/2 (/.f64 (-.f64 y x) x))
(/.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) 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simplify228.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
1365×fma-neg_binary64
613×div-sub_binary64
515×fma-def_binary64
286×associate-/l/_binary64
212×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018513
139513
260513
381513
4124513
5226513
6446513
7691513
8938513
91264513
101498513
112153513
123673513
135080513
145450513
155616513
165678513
175880513
186036513
196040513
Stop Event
1×saturated
Counts
202 → 142
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)
-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 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y)
(*.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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y)
(*.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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y)
(*.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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 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 (/.f64 -1/2 x) y 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
-1
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(/.f64 y x)
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
-1
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
-1
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))

localize166.0ms (3.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -2 (/.f64 x (-.f64 y x)))
✓0.0b
(/.f64 x (-.f64 y x))
✓0.1b
(pow.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) -1)
✓5.5b
(/.f64 (pow.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) -1) y)
Compiler

Compiled 41 to 17 computations (58.5% saved)

series64.0ms (1.5%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
39.0ms
x
@0
(pow.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) -1)
4.0ms
y
@0
(pow.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) -1)
2.0ms
y
@inf
(pow.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) -1)
2.0ms
y
@0
(*.f64 -2 (/.f64 x (-.f64 y x)))
2.0ms
x
@inf
(pow.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) -1)

rewrite98.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
583×log-prod_binary64
407×prod-diff_binary64
297×pow2_binary64
205×pow-unpow_binary64
204×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01046
122940
2322640
Stop Event
1×node limit
Counts
4 → 145
Calls
Call 1
Inputs
(/.f64 (pow.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) -1) y)
(pow.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) -1)
(/.f64 x (-.f64 y x))
(*.f64 -2 (/.f64 x (-.f64 y x)))
Outputs
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simplify105.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
941×fma-neg_binary64
611×fma-def_binary64
369×cancel-sign-sub-inv_binary64
323×times-frac_binary64
319×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01231347
14121311
215061149
351811092
Stop Event
1×node limit
Counts
241 → 190
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 -1/2 (/.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)) (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))) y)) (+.f64 (*.f64 -1/2 (pow.f64 y 3)) (*.f64 1/2 (pow.f64 y 3)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))) (pow.f64 x 2))))))
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))) y) (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))) (pow.f64 x 2))))))))
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(*.f64 -1/2 (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)) y))))
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2)))) (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)) y)))))
(*.f64 -1/2 (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 x y)) (*.f64 1/2 (/.f64 x y)))))
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/2 (/.f64 x y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/2 x)) x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2)))) (pow.f64 y 2)))))))
(/.f64 x y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
-1
(-.f64 (*.f64 -1 (/.f64 y x)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 y x)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 y x)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) 1)
(/.f64 x y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 -2 (/.f64 x y))
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(*.f64 -2 (/.f64 x y))
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(*.f64 -2 (/.f64 x y))
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
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))
(*.f64 -1/2 (/.f64 y x))
(/.f64 -1/2 (/.f64 x y))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))) (pow.f64 x 2)))))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))) y)) (+.f64 (*.f64 -1/2 (pow.f64 y 3)) (*.f64 1/2 (pow.f64 y 3)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))) (pow.f64 x 2))))))
(fma.f64 -1/2 (/.f64 y x) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))) (pow.f64 x 2)))))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))) y) (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))) (pow.f64 x 2))))))))
(fma.f64 -1/2 (/.f64 y x) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 -1/2 (/.f64 y x))
(/.f64 -1/2 (/.f64 x y))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)) y))))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2)))) (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 x)) y)))))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 -1/2 (/.f64 y x))
(/.f64 -1/2 (/.f64 x y))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 x y)) (*.f64 1/2 (/.f64 x y)))))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) (+.f64 1/2 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/2 (/.f64 x y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/2 x)) x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2)))) (pow.f64 y 2)))))))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(/.f64 x y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(*.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)))
-1
(-.f64 (*.f64 -1 (/.f64 y x)) 1)
(fma.f64 -1 (/.f64 y x) -1)
(fma.f64 (/.f64 y x) -1 -1)
(-.f64 -1 (/.f64 y x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 -1 (/.f64 y x) -1))
(fma.f64 -1 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) -1)
(+.f64 -1 (*.f64 (/.f64 y x) (-.f64 -1 (/.f64 y x))))
(fma.f64 (/.f64 y x) (-.f64 -1 (/.f64 y x)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) -1)
(+.f64 -1 (-.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 -1 (-.f64 (*.f64 (/.f64 y x) (-.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (-.f64 -1 (/.f64 y x)))
-1
(-.f64 (*.f64 -1 (/.f64 y x)) 1)
(fma.f64 -1 (/.f64 y x) -1)
(fma.f64 (/.f64 y x) -1 -1)
(-.f64 -1 (/.f64 y x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 -1 (/.f64 y x) -1))
(fma.f64 -1 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) -1)
(+.f64 -1 (*.f64 (/.f64 y x) (-.f64 -1 (/.f64 y x))))
(fma.f64 (/.f64 y x) (-.f64 -1 (/.f64 y x)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) -1)
(+.f64 -1 (-.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 -1 (-.f64 (*.f64 (/.f64 y x) (-.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (-.f64 -1 (/.f64 y x)))
-1
(-.f64 (*.f64 -1 (/.f64 y x)) 1)
(fma.f64 -1 (/.f64 y x) -1)
(fma.f64 (/.f64 y x) -1 -1)
(-.f64 -1 (/.f64 y x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 -1 (/.f64 y x) -1))
(fma.f64 -1 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) -1)
(+.f64 -1 (*.f64 (/.f64 y x) (-.f64 -1 (/.f64 y x))))
(fma.f64 (/.f64 y x) (-.f64 -1 (/.f64 y x)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) -1)
(+.f64 -1 (-.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 -1 (-.f64 (*.f64 (/.f64 y x) (-.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (-.f64 -1 (/.f64 y x)))
(/.f64 x y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(*.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)))
(/.f64 x y)
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(*.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)))
(*.f64 -2 (/.f64 x y))
(*.f64 (/.f64 x y) -2)
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -2)
(*.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) -2)
(*.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 x y) -2)))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 -2 (+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) -2)
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(*.f64 -2 (+.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -2)
(*.f64 (*.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y))) -2)
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(+.f64 2 (*.f64 (/.f64 y x) 2))
(fma.f64 (/.f64 y x) 2 2)
(+.f64 2 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (*.f64 2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x)))))
(fma.f64 2 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) 2)
(fma.f64 2 (*.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x)) 2)
(+.f64 2 (*.f64 (/.f64 y x) (fma.f64 (/.f64 y x) 2 2)))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 2 (fma.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))))))
(+.f64 2 (*.f64 2 (+.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(fma.f64 2 (+.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x))) 2)
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(+.f64 2 (*.f64 (/.f64 y x) 2))
(fma.f64 (/.f64 y x) 2 2)
(+.f64 2 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (*.f64 2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x)))))
(fma.f64 2 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) 2)
(fma.f64 2 (*.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x)) 2)
(+.f64 2 (*.f64 (/.f64 y x) (fma.f64 (/.f64 y x) 2 2)))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 2 (fma.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))))))
(+.f64 2 (*.f64 2 (+.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(fma.f64 2 (+.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x))) 2)
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(+.f64 2 (*.f64 (/.f64 y x) 2))
(fma.f64 (/.f64 y x) 2 2)
(+.f64 2 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (*.f64 2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x)))))
(fma.f64 2 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) 2)
(fma.f64 2 (*.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x)) 2)
(+.f64 2 (*.f64 (/.f64 y x) (fma.f64 (/.f64 y x) 2 2)))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 2 (fma.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))))))
(+.f64 2 (*.f64 2 (+.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(fma.f64 2 (+.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x))) 2)
(*.f64 -2 (/.f64 x y))
(*.f64 (/.f64 x y) -2)
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -2)
(*.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) -2)
(*.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 x y) -2)))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 -2 (+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) -2)
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(*.f64 -2 (+.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -2)
(*.f64 (*.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y))) -2)
(*.f64 -2 (/.f64 x y))
(*.f64 (/.f64 x y) -2)
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -2)
(*.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) -2)
(*.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 x y) -2)))
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 -2 (+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) -2)
(+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(*.f64 -2 (+.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y)) (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -2)
(*.f64 (*.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x y))) -2)

eval233.0ms (5.3%)

Compiler

Compiled 5030 to 3094 computations (38.5% saved)

prune48.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3311332
Fresh000
Picked101
Done134
Total3334337
Error
0b
Counts
337 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
✓31.8b
(/.f64 -1/2 x)
✓31.3b
(/.f64 1/2 y)
▶5.9b
(/.f64 (/.f64 -1/2 (/.f64 x (-.f64 y x))) y)
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (-.f64 y x))
✓0.1b
(/.f64 -1/2 (/.f64 x (-.f64 y x)))
✓5.5b
(/.f64 (/.f64 -1/2 (/.f64 x (-.f64 y x))) y)
Compiler

Compiled 29 to 10 computations (65.5% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (/.f64 -1/2 (/.f64 x (-.f64 y x))) y)
0.0ms
x
@0
(/.f64 (/.f64 -1/2 (/.f64 x (-.f64 y x))) y)
0.0ms
y
@0
(/.f64 (/.f64 -1/2 (/.f64 x (-.f64 y x))) y)
0.0ms
x
@-inf
(/.f64 -1/2 (/.f64 x (-.f64 y x)))
0.0ms
x
@-inf
(/.f64 (/.f64 -1/2 (/.f64 x (-.f64 y x))) y)

rewrite77.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
538×log-prod_binary64
404×prod-diff_binary64
325×pow-prod-down_binary64
264×pow2_binary64
221×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
119323
2301423
Stop Event
1×node limit
Counts
2 → 86
Calls
Call 1
Inputs
(/.f64 (/.f64 -1/2 (/.f64 x (-.f64 y x))) y)
(/.f64 -1/2 (/.f64 x (-.f64 y x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x))))) 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 (*.f64 x y) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))) (cbrt.f64 (/.f64 1/4 (pow.f64 (/.f64 (*.f64 x y) (-.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (/.f64 (*.f64 x y) (-.f64 y x)) 2))) (cbrt.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))) (sqrt.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 (/.f64 y x) 1)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (-.f64 y x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 x) (*.f64 (-.f64 y x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 x) 1) (/.f64 (-.f64 y x) 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 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 y x) (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 (pow.f64 y -1/2) (/.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 x) (sqrt.f64 y)) (/.f64 (-.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (pow.f64 (/.f64 (*.f64 x y) (-.f64 y x)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 x y) (-.f64 y x))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 (*.f64 x y) (-.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 x (-.f64 y x)) -2) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 x y) (-.f64 y x)) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -2 (/.f64 (*.f64 x y) (-.f64 y x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 (*.f64 x y) (-.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 x y) (-.f64 y x))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/2 (/.f64 (*.f64 x y) (-.f64 y x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 y x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 -1/2 x)) (*.f64 (neg.f64 x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/2 x) y) (*.f64 (/.f64 -1/2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (/.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 y x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (/.f64 (neg.f64 x) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 y x) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 x) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (neg.f64 x)) (neg.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 x) 1) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 x) (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (cbrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 x) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (-.f64 y x)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 x (-.f64 y x)) -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 y x)) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y x) (/.f64 -1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 -1/2 x) (*.f64 (neg.f64 x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 x) y (*.f64 (/.f64 -1/2 x) (neg.f64 x)))))))

simplify162.0ms (3.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
016372
135372
256372
378372
4121372
5222372
6443372
7686372
8934372
91263372
101507372
112161372
123671372
135077372
145448372
155614372
165676372
175902372
186082372
196086372
Stop Event
1×saturated
Counts
134 → 95
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 -1/2 (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
1/2
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(*.f64 -1/2 (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(*.f64 -1/2 (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)
Outputs
(/.f64 -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))
(*.f64 -1/2 (/.f64 y x))
(/.f64 (*.f64 -1/2 y) x)
(/.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)
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 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 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)

eval73.0ms (1.7%)

Compiler

Compiled 2120 to 1081 computations (49% saved)

prune28.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1500150
Fresh000
Picked011
Done033
Total1504154
Error
0b
Counts
154 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
✓31.8b
(/.f64 -1/2 x)
✓31.3b
(/.f64 1/2 y)
✓5.9b
(/.f64 (/.f64 -1/2 (/.f64 x (-.f64 y x))) y)
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes63.0ms (1.4%)

Counts
9 → 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 x (-.f64 y x))) y)
(/.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)) y)
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y)
(/.f64 (pow.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) -1) y)
(fma.f64 (sqrt.f64 (/.f64 -1/2 y)) (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (/.f64 -1/2 x))
Outputs
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
Calls

3 calls:

14.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
12.0ms
y
12.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 94 to 58 computations (38.3% saved)

regimes67.0ms (1.5%)

Accuracy

Total -48.2b remaining (-350.4%)

Threshold costs -48.2b (-350.4%)

Counts
2 → 5
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)
(/.f64 -1/2 x)
(/.f64 1/2 y)
Calls

2 calls:

45.0ms
x
19.0ms
y
Results
ErrorSegmentsBranch
13.8b5x
15.6b3y
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch159.0ms (3.7%)

Algorithm
4×binary-search
Steps
TimeLeftRight
34.0ms
659058853203.0979
40198519397693.734
53.0ms
-1.949842267343725e-62
-1.3816103119507063e-73
34.0ms
-1.5762596789124117e-29
-2.53929243490127e-32
37.0ms
-8.912536958858874e-5
-2.3851077984574564e-5
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify21.0ms (0.5%)

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
02258
12458
23158
33358
43458
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(if (<=.f64 x -6576291533101891/73786976294838206464) (/.f64 1/2 y) (if (<=.f64 x -2812141237291471/178405961588244985132285746181186892047843328) (/.f64 -1/2 x) (if (<=.f64 x -4515526196379111/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.f64 1/2 y) (if (<=.f64 x 2699505062719889/4096) (/.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 -6576291533101891/73786976294838206464) (/.f64 1/2 y) (if (<=.f64 x -2812141237291471/178405961588244985132285746181186892047843328) (/.f64 -1/2 x) (if (<=.f64 x -4515526196379111/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.f64 1/2 y) (if (<=.f64 x 2699505062719889/4096) (/.f64 -1/2 x) (/.f64 1/2 y)))))
(/.f64 -1/2 x)
Compiler

Compiled 47 to 35 computations (25.5% saved)

soundness194.0ms (4.4%)

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)

end66.0ms (1.5%)

Compiler

Compiled 43 to 31 computations (27.9% saved)

Profiling

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