Details

analyze241.0ms (13.1%)

Algorithm

1×

Search

True	Other	False	Iter
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
87.8%	12.1%	0.1%	13
89.3%	10.6%	0.1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample858.0ms (46.7%)

Results

839.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess34.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

403×	`associate-*l/_binary64`
286×	`fma-def_binary64`
238×	`unsub-neg_binary64`
226×	`associate-*r/_binary64`
224×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	35	26
2	89	20
3	201	20
4	402	20
5	1086	20
6	4649	20
0	2	2

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 x) (/.f64 -1/2 y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify30.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

921×	`fma-neg_binary64`
613×	`times-frac_binary64`
288×	`associate-/l*_binary64`
236×	`associate-/r/_binary64`
226×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	53	10
3	123	10
4	253	10
5	551	10
6	1090	10
7	3999	10

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))

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

Compiler

Compiled 36 to 26 computations (27.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
1.0ms	y	@	0	(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
0.0ms	x	@	inf	(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
0.0ms	y	@	inf	(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
0.0ms	y	@	-inf	(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

rewrite55.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`prod-diff_binary64`
269×	`fma-def_binary64`
160×	`expm1-udef_binary64`
160×	`log1p-udef_binary64`
148×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	168	10
2	2506	10

Stop Event

1×	node limit

Counts

1 → 136

Calls

Call 1

Inputs
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

Outputs
((#(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 -1/2 x) (.f64 (/.f64 1/2 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (cbrt.f64 (/.f64 1/4 (.f64 y y))) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (fma.f64 -1 (/.f64 -1/2 y) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/4 (.f64 y 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Outputs

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y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) (/.f64 1 (*.f64 x y)) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) (/.f64 1 (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 y) 3)) (/.f64 1 (fma.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 y) 3)) (/.f64 1 (fma.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (*.f64 x x)))) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 y) 3)) (/.f64 1 (fma.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (*.f64 x x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 y) 3)) (/.f64 1 (fma.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (*.f64 x x)))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -1/2 (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -1/2 (*.f64 (/.f64 1/2 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 (/.f64 1/2 y))) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1/2 y) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))) 1))))))

simplify24.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

141×	`fma-def_binary64`
102×	`fma-neg_binary64`
48×	`cancel-sign-sub-inv_binary64`
25×	`sub-neg_binary64`
21×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	204
1	27	204
2	43	204
3	62	204
4	91	204
5	140	204
6	229	204
7	322	204
8	402	204
9	514	204
10	568	204
11	574	204

Stop Event

1×

saturated

Counts

160 → 140

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 x) (/.f64 -1/2 y))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 1/2 y)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 1/2 y)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 1/2 y)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 -1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(/.f64 -1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

prune85.0ms (4.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	138	3	141

Error

Counts

141 → 3

Alt Table

Status	Error	Program
▶	7.6b	(/.f64 (/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) x) y)
	32.1b	(.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
✓	0.0b	(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

Status

Error

Program

▶

7.6b

(/.f64 (/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) x) y)

32.1b

(*.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))

✓

0.0b

(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

Compiler

Compiled 2601 to 1901 computations (26.9% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) x)
✓	7.2b	(/.f64 (/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) x) y)

series11.0ms (0.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) x) y)
1.0ms	y	@	-inf	(/.f64 (/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) x) y)
1.0ms	y	@	0	(/.f64 (/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) x) y)
1.0ms	x	@	inf	(/.f64 (/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) x) y)
1.0ms	y	@	inf	(/.f64 (/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) x) y)

rewrite52.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`log1p-expm1-u_binary64`
916×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`
97×	`*-un-lft-identity_binary64`
97×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	198	23
2	2802	23

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs
(/.f64 (/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) x) y)
(/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) x)

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

Outputs

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

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

simplify55.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1298×	`fma-neg_binary64`
572×	`fma-def_binary64`
507×	`div-sub_binary64`
212×	`times-frac_binary64`
198×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	408
1	40	408
2	72	372
3	117	372
4	189	372
5	336	372
6	568	372
7	823	372
8	1068	372
9	1415	372
10	1659	372
11	2299	372
12	3876	372

Stop Event

1×	node limit

Counts

129 → 90

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 1/2 (*.f64 1/2 (/.f64 y x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(*.f64 -1/2 (/.f64 y x))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(*.f64 -1/2 (/.f64 y x))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(*.f64 -1/2 (/.f64 y x))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))

Outputs
(/.f64 1/2 y)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(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 (/.f64 -1/2 x) y)
(*.f64 y (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(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 (/.f64 -1/2 x) y)
(*.f64 y (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(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 (/.f64 -1/2 x) y)
(*.f64 y (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)
(-.f64 1/2 (*.f64 1/2 (/.f64 y x)))
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x))
(+.f64 1/2 (/.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(fma.f64 y (/.f64 -1/2 x) 1/2)

prune40.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Error

Counts

93 → 3

Alt Table

Status

Error

Program

✓

7.6b

(/.f64 (/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) x) y)

▶

32.1b

(*.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))

✓

0.0b

(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

Compiler

Compiled 1362 to 763 computations (44% saved)

localize15.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
✓	0.5b	(/.f64 1/4 (*.f64 y y))
✓	3.2b	(-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y)))
✓	29.6b	(.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))

series14.0ms (0.8%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
1.0ms	y	@	0	(.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
1.0ms	y	@	inf	(.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
1.0ms	x	@	0	(/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
1.0ms	x	@	inf	(.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))

rewrite48.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

194×	`add-sqr-sqrt_binary64`
186×	`*-un-lft-identity_binary64`
186×	`pow1_binary64`
182×	`add-cbrt-cube_binary64`
182×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	380	46

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y)))
(/.f64 1/4 (*.f64 y y))
(/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))

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

simplify45.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary64`
461×	`cancel-sign-sub-inv_binary64`
383×	`fma-neg_binary64`
309×	`associate-/l/_binary64`
295×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	1128
1	174	1092
2	497	1092
3	1792	1044

Stop Event

1×	node limit

Counts

251 → 195

Calls

Call 1

Inputs
(/.f64 -1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 -1/4 (pow.f64 y 2))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 -1/4 (pow.f64 y 2))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 -1/4 (pow.f64 y 2))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(/.f64 1/4 (pow.f64 y 2))
(*.f64 -2 x)
(-.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x))
(-.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 2 x)))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 2 (/.f64 (pow.f64 x 2) y))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 2 x)))
(*.f64 -2 y)
(-.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (.f64 2 y))
(-.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 2 (/.f64 (pow.f64 y 2) x))) (+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(*.f64 -2 y)
(-.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (.f64 2 y))
(-.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 2 (/.f64 (pow.f64 y 2) x))) (+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(*.f64 -2 y)
(-.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (.f64 2 y))
(-.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 2 (/.f64 (pow.f64 y 2) x))) (+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(*.f64 -2 x)
(-.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x))
(-.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 2 x)))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 2 (/.f64 (pow.f64 x 2) y))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 2 x)))
(*.f64 -2 x)
(-.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x))
(-.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 2 x)))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 2 (/.f64 (pow.f64 x 2) y))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 2 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))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y)))
(+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 (.f64 y y)))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y)))
(+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 (.f64 y y)))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y)))
(+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 (.f64 y y)))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y)))
(+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 (.f64 y y)))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y)))
(+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 (.f64 y y)))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y)))
(+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 (.f64 y y)))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y)))
(+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 (.f64 y y)))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y)))
(+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 (.f64 y y)))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y)))
(+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 (.f64 y y)))
(/.f64 -1/4 (pow.f64 y 2))
(/.f64 -1/4 (*.f64 y y))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 2))))
(-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y)))
(+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 (.f64 y y)))
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(.f64 2 (-.f64 (+.f64 (/.f64 x (/.f64 y x)) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y)))))
(.f64 2 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (-.f64 (.f64 (/.f64 x y) x) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(.f64 2 (-.f64 (.f64 (*.f64 (/.f64 x y) x) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (/.f64 x y))) x))
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(.f64 2 (-.f64 (.f64 (/.f64 y x) y) y))
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(-.f64 (.f64 2 (-.f64 (/.f64 (.f64 y y) x) y)) (.f64 2 (/.f64 (pow.f64 y 3) (.f64 x x))))
(.f64 2 (-.f64 (/.f64 y (/.f64 x y)) (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 2 (-.f64 (.f64 (/.f64 y x) y) (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(.f64 2 (-.f64 (.f64 (/.f64 y x) (-.f64 y (*.f64 (/.f64 y x) y))) y))
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(-.f64 (.f64 2 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (.f64 y y) x))) (.f64 2 (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 2 (-.f64 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 2 (+.f64 (.f64 (/.f64 y x) y) (-.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(.f64 2 (-.f64 (.f64 (*.f64 (/.f64 y x) y) (-.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (/.f64 y x))) y))
(*.f64 -2 y)
(*.f64 y -2)
(-.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (.f64 2 y))
(.f64 2 (-.f64 (/.f64 (.f64 y y) x) y))
(*.f64 2 (-.f64 (/.f64 y (/.f64 x y)) y))
(.f64 2 (-.f64 (.f64 (/.f64 y x) y) y))
(*.f64 2 (fma.f64 (/.f64 y x) y (neg.f64 y)))
(-.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(-.f64 (.f64 2 (-.f64 (/.f64 (.f64 y y) x) y)) (.f64 2 (/.f64 (pow.f64 y 3) (.f64 x x))))
(.f64 2 (-.f64 (/.f64 y (/.f64 x y)) (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 2 (-.f64 (.f64 (/.f64 y x) y) (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(.f64 2 (-.f64 (.f64 (/.f64 y x) (-.f64 y (*.f64 (/.f64 y x) y))) y))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 2 (/.f64 (pow.f64 y 2) x))) (+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(-.f64 (.f64 2 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (.f64 y y) x))) (.f64 2 (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 2 (-.f64 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 2 (+.f64 (.f64 (/.f64 y x) y) (-.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(.f64 2 (-.f64 (.f64 (*.f64 (/.f64 y x) y) (-.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (/.f64 y x))) y))
(*.f64 -2 y)
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(-.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (.f64 2 y))
(.f64 2 (-.f64 (/.f64 (.f64 y y) x) y))
(*.f64 2 (-.f64 (/.f64 y (/.f64 x y)) y))
(.f64 2 (-.f64 (.f64 (/.f64 y x) y) y))
(*.f64 2 (fma.f64 (/.f64 y x) y (neg.f64 y)))
(-.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(-.f64 (.f64 2 (-.f64 (/.f64 (.f64 y y) x) y)) (.f64 2 (/.f64 (pow.f64 y 3) (.f64 x x))))
(.f64 2 (-.f64 (/.f64 y (/.f64 x y)) (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 2 (-.f64 (.f64 (/.f64 y x) y) (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(.f64 2 (-.f64 (.f64 (/.f64 y x) (-.f64 y (*.f64 (/.f64 y x) y))) y))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 2 (/.f64 (pow.f64 y 2) x))) (+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(-.f64 (.f64 2 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (.f64 y y) x))) (.f64 2 (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 2 (-.f64 (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 2 (+.f64 (.f64 (/.f64 y x) y) (-.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(.f64 2 (-.f64 (.f64 (*.f64 (/.f64 y x) y) (-.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (/.f64 y x))) y))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x))
(.f64 2 (-.f64 (/.f64 (.f64 x x) y) x))
(*.f64 2 (-.f64 (/.f64 x (/.f64 y x)) x))
(.f64 2 (-.f64 (.f64 (/.f64 x y) x) x))
(-.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 2 x)))
(-.f64 (.f64 2 (/.f64 (.f64 x x) y)) (.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (.f64 y y)) x)))
(.f64 2 (-.f64 (/.f64 x (/.f64 y x)) (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y)))))
(.f64 2 (-.f64 (.f64 (/.f64 x y) x) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(.f64 2 (-.f64 (.f64 (/.f64 x y) (-.f64 x (*.f64 (/.f64 x y) x))) x))
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(-.f64 (.f64 2 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (.f64 x x) y))) (.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (.f64 y y)) x)))
(.f64 2 (-.f64 (+.f64 (/.f64 x (/.f64 y x)) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y)))))
(.f64 2 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (-.f64 (.f64 (/.f64 x y) x) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(.f64 2 (-.f64 (.f64 (*.f64 (/.f64 x y) x) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (/.f64 x y))) x))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x))
(.f64 2 (-.f64 (/.f64 (.f64 x x) y) x))
(*.f64 2 (-.f64 (/.f64 x (/.f64 y x)) x))
(.f64 2 (-.f64 (.f64 (/.f64 x y) x) x))
(-.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 2 x)))
(-.f64 (.f64 2 (/.f64 (.f64 x x) y)) (.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (.f64 y y)) x)))
(.f64 2 (-.f64 (/.f64 x (/.f64 y x)) (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y)))))
(.f64 2 (-.f64 (.f64 (/.f64 x y) x) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 y y)))))
(.f64 2 (-.f64 (.f64 (/.f64 x y) (-.f64 x (*.f64 (/.f64 x y) x))) x))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 2 (/.f64 (pow.f64 x 2) y))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 2 x)))
(-.f64 (.f64 2 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (.f64 x x) y))) (.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (.f64 y y)) x)))
(.f64 2 (-.f64 (+.f64 (/.f64 x (/.f64 y x)) (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 x (/.f64 (pow.f64 x 3) (.f64 y y)))))
(.f64 2 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (-.f64 (.f64 (/.f64 x y) x) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 y y))))))
(.f64 2 (-.f64 (.f64 (*.f64 (/.f64 x y) x) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (/.f64 x y))) x))

prune128.0ms (7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	195	3	198

Error

Counts

198 → 3

Alt Table

Status

Error

Program

✓

7.6b

(/.f64 (/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) -1/2)) x) y)

✓

32.1b

(*.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))

✓

0.0b

(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

Compiler

Compiled 5107 to 3743 computations (26.7% saved)

regimes22.0ms (1.2%)

Accuracy

Total 0.0b remaining (66%)

Threshold costs 0.0b (66%)

Counts

10 → 1

Compiler

Compiled 120 to 82 computations (31.7% saved)

simplify2.0ms (0.1%)

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)

Iter	Nodes	Cost
0	7	10
1	9	10
2	17	10
3	19	10
4	20	10

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

Outputs
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

end58.0ms (3.1%)

Stop Event

1×

done

Compiler

Compiled 63 to 47 computations (25.4% saved)

Iter	Nodes	Cost
0	13	204
1	27	204
2	43	204
3	62	204
4	91	204
5	140	204
6	229	204
7	322	204
8	402	204
9	514	204
10	568	204
11	574	204

Iter	Nodes	Cost
0	13	204
1	27	204
2	43	204
3	62	204
4	91	204
5	140	204
6	229	204
7	322	204
8	402	204
9	514	204
10	568	204
11	574	204

Details

analyze241.0ms (13.1%)

sample858.0ms (46.7%)

preprocess34.0ms (1.9%)

simplify30.0ms (1.6%)

prune6.0ms (0.3%)

localize4.0ms (0.2%)

series3.0ms (0.2%)

rewrite55.0ms (3%)

simplify24.0ms (1.3%)

prune85.0ms (4.6%)

localize7.0ms (0.4%)

series11.0ms (0.6%)

rewrite52.0ms (2.8%)

simplify55.0ms (3%)

prune40.0ms (2.2%)

localize15.0ms (0.8%)

series14.0ms (0.8%)

rewrite48.0ms (2.6%)

simplify45.0ms (2.5%)

prune128.0ms (7%)

regimes22.0ms (1.2%)

simplify2.0ms (0.1%)

end58.0ms (3.1%)

Profiling

Iter	Nodes	Cost
0	13	204
1	27	204
2	43	204
3	62	204
4	91	204
5	140	204
6	229	204
7	322	204
8	402	204
9	514	204
10	568	204
11	574	204