Details

analyze56.0ms (0.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	18.7%	81.3%	0
0%	18.7%	81.3%	1
0%	18.7%	81.3%	2
0%	18.7%	81.3%	3
0%	18.7%	81.3%	4
4.7%	14%	81.3%	5
5.3%	13.5%	81.3%	6
15.8%	2.9%	81.3%	7
15.8%	2.9%	81.3%	8
17.4%	1.3%	81.3%	9
17.4%	1.3%	81.3%	10
18.1%	0.6%	81.3%	11
18.1%	0.6%	81.3%	12

Compiler

Compiled 28 to 17 computations (39.3% saved)

sample1.5s (15.9%)

Results

1.5s

8256×

body

256

valid

preprocess125.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

772×	`fma-def_binary64`
588×	`div-sub_binary64`
453×	`sub-neg_binary64`
418×	`unsub-neg_binary64`
365×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	43	40
2	103	40
3	250	40
4	569	40
5	1563	40
6	3472	40
7	4656	40
8	5492	40
9	6246	40
10	7000	40
11	7493	40
12	7732	40
13	7747	40
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (+.f64 (.f64 y y) (*.f64 x x)))

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

917×	`times-frac_binary64`
770×	`fma-def_binary64`
474×	`unsub-neg_binary64`
469×	`fma-neg_binary64`
370×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	24	20
2	58	20
3	138	20
4	328	20
5	848	20
6	2017	20
7	4713	20
8	6444	20

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

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

eval1.0ms (0%)

Compiler: Compiled 31 to 12 computations (61.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

20.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.3b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	20.8b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))

Compiler

Compiled 33 to 17 computations (48.5% saved)

localize53.0ms (0.6%)

Local error

Found 6 expressions with local error:

New	Error	Program
	19.7b	(/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))
	0.2b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
	0.0b	(fma.f64 x x (*.f64 y y))
✓	0.0b	(fma.f64 x x (*.f64 y y))
✓	0.2b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
✓	19.7b	(/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))

Compiler

Compiled 43 to 8 computations (81.4% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))
1.0ms	x	@	0	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
1.0ms	y	@	inf	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
1.0ms	x	@	inf	(/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))
1.0ms	y	@	0	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))

rewrite155.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`prod-diff_binary64`
553×	`log-prod_binary64`
363×	`fma-def_binary64`
281×	`pow2_binary64`
196×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	205	39
2	3197	39

Stop Event

1×	node limit

Counts

3 → 257

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))
(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
(fma.f64 x x (*.f64 y y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2)))) (sqrt.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2))) (/.f64 y (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 y (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (pow.f64 (hypot.f64 x y) 2)) (neg.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) (neg.f64 (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y))) (fma.f64 (neg.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2))) y (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (pow.f64 (hypot.f64 x y) 2)) (neg.f64 (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y))) (fma.f64 (neg.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2))) y (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (pow.f64 (hypot.f64 x y) 2))) 2) (cbrt.f64 (/.f64 x (pow.f64 (hypot.f64 x y) 2))) (neg.f64 (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y))) (fma.f64 (neg.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2))) y (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (pow.f64 (hypot.f64 x y) 2))) (sqrt.f64 (/.f64 x (pow.f64 (hypot.f64 x y) 2))) (neg.f64 (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y))) (fma.f64 (neg.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2))) y (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (pow.f64 (hypot.f64 x y) 2)) (neg.f64 (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y))) (fma.f64 (neg.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2))) y (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (pow.f64 (hypot.f64 x y) 2)) (neg.f64 (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y))) (fma.f64 (neg.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2))) y (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (/.f64 x (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (neg.f64 (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y))) (fma.f64 (neg.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2))) y (.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (pow.f64 (hypot.f64 x y) 2))) 2) (cbrt.f64 (/.f64 x (pow.f64 (hypot.f64 x y) 2))) (neg.f64 (.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2)) 1))) (fma.f64 (neg.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2))) 1 (.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (pow.f64 (hypot.f64 x y) 2))) (sqrt.f64 (/.f64 x (pow.f64 (hypot.f64 x y) 2))) (neg.f64 (.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2)) 1))) (fma.f64 (neg.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2))) 1 (.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (pow.f64 (hypot.f64 x y) 2)) (neg.f64 (.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2)) 1))) (fma.f64 (neg.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2))) 1 (.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) 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((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (neg.f64 (.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2)) 1))) (fma.f64 (neg.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2))) 1 (.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 x (hypot.f64 x y)) (neg.f64 (.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2)) 1))) (fma.f64 (neg.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2))) 1 (.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 x y)) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2)) 1))) (fma.f64 (neg.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2))) 1 (.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 x y)) 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Outputs

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

simplify116.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

692×	`times-frac_binary64`
531×	`fma-def_binary64`
297×	`sub-neg_binary64`
295×	`associate-/l*_binary64`
293×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	288
1	373	288
2	1382	288
3	6203	288

Stop Event

1×	node limit

Counts

329 → 287

Calls

Call 1

Inputs
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))

Outputs
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 -1 y)
(/.f64 1 x)
(/.f64 -1 y)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(/.f64 -1 y)
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(/.f64 -1 y)
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 -1 y)
(/.f64 1 x)
(/.f64 -1 y)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(/.f64 -1 y)
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(/.f64 -1 y)
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 -1 y)
(/.f64 1 x)
(/.f64 -1 y)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(/.f64 -1 y)
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(/.f64 -1 y)
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 -1 y)
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 -1 y)
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 -1 y)
-1
(/.f64 -1 y)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(/.f64 -1 y)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(/.f64 -1 y)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(/.f64 -1 y)
1
(/.f64 -1 y)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 -1 y)
1
(/.f64 -1 y)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(/.f64 -1 y)
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(/.f64 -1 y)
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
(/.f64 -1 y)
1
(/.f64 -1 y)
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(/.f64 -1 y)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(/.f64 -1 y)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(/.f64 -1 y)
-1
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 -1 y)
-1
(/.f64 -1 y)
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 -1 y)
(pow.f64 y 2)
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(pow.f64 x 2)
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(pow.f64 x 2)
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(pow.f64 x 2)
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(pow.f64 y 2)
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(pow.f64 y 2)
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)

localize20.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	20.0b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
	0.0b	(*.f64 (-.f64 x y) (+.f64 x y))
	0.0b	(+.f64 (.f64 x x) (.f64 y y))
✓	0.0b	(+.f64 (.f64 x x) (.f64 y y))
✓	0.0b	(*.f64 (-.f64 x y) (+.f64 x y))
✓	20.0b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 45 to 9 computations (80% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
0.0ms	x	@	inf	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
0.0ms	x	@	-inf	(*.f64 (-.f64 x y) (+.f64 x y))
0.0ms	y	@	inf	(*.f64 (-.f64 x y) (+.f64 x y))
0.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

rewrite121.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`fma-def_binary64`
641×	`log-prod_binary64`
318×	`pow2_binary64`
273×	`fma-neg_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	237	36
2	3893	36

Stop Event

1×	node limit

Counts

3 → 277

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(*.f64 (-.f64 x y) (+.f64 x y))
(+.f64 (.f64 x x) (.f64 y y))

Outputs
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1 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x y) (.f64 (+.f64 x y) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (.f64 y y)) (/.f64 1 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 2) (.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 2) (hypot.f64 x y)) (/.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (-.f64 (.f64 x x) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 (.f64 y y)) 1 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (neg.f64 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 -1 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (-.f64 x y)) (.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x 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Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))) (+.f64 (pow.f64 x 6) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 4) (pow.f64 x 4)) (-.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))) (+.f64 (pow.f64 x 6) (pow.f64 y 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (exp.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y y)) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 x 4)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x y))) 1))))))

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

543×	`times-frac_binary64`
519×	`fma-def_binary64`
292×	`div-sub_binary64`
257×	`associate-+l+_binary64`
243×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	72
1	369	72
2	1411	72
3	5719	72

Stop Event

1×	node limit

Counts

349 → 308

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (+.f64 y (*.f64 -1 y)) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 (+.f64 y (.f64 -1 y)) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 (+.f64 y (.f64 -1 y)) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
(pow.f64 x 2)
(+.f64 (.f64 y (+.f64 (.f64 -1 x) x)) (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y (+.f64 (*.f64 -1 x) x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (.f64 y (+.f64 (.f64 -1 x) x))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 -1 x) x))) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 -1 x) x))) (pow.f64 x 2)))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))

Outputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
-1
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
-1
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
-1
1
-1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
-1
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
-1
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
-1
1
-1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
-1
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
-1
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
-1
1
-1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
-1
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
-1
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(*.f64 -1 (pow.f64 y 2))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (+.f64 y (*.f64 -1 y)) x))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
-1
(pow.f64 x 2)
-1
(+.f64 (pow.f64 x 2) (.f64 (+.f64 y (.f64 -1 y)) x))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
-1
(pow.f64 x 2)
-1
(+.f64 (pow.f64 x 2) (.f64 (+.f64 y (.f64 -1 y)) x))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
-1
(pow.f64 x 2)
-1
(+.f64 (.f64 y (+.f64 (.f64 -1 x) x)) (pow.f64 x 2))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)))
-1
(*.f64 -1 (pow.f64 y 2))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y (+.f64 (*.f64 -1 x) x)))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)))
-1
(*.f64 -1 (pow.f64 y 2))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (.f64 y (+.f64 (.f64 -1 x) x))))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 -1 x) x))) (pow.f64 x 2)))
-1
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 -1 x) x))) (pow.f64 x 2)))
-1
(pow.f64 y 2)
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(pow.f64 x 2)
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(pow.f64 x 2)
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(pow.f64 x 2)
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(pow.f64 y 2)
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(pow.f64 y 2)
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
-1

eval446.0ms (4.6%)

Compiler: Compiled 18700 to 7505 computations (59.9% saved)

prune124.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	586	9	595
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	587	10	597

Error

0.0b

Counts

597 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	23.0b	-1
▶	20.3b	(/.f64 (+.f64 (.f64 (+.f64 x y) x) (.f64 (+.f64 x y) (neg.f64 y))) (+.f64 (.f64 x x) (.f64 y y)))
▶	0.0b	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	11.0b	(*.f64 (+.f64 x y) (pow.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (hypot.f64 x y)) 2))
▶	37.6b	(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (-.f64 (.f64 x x) (*.f64 y y)))
✓	20.3b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
	40.9b	1
▶	20.8b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 (.f64 y y) (*.f64 x x))))
▶	40.5b	(*.f64 (+.f64 x y) (/.f64 1 x))
	1.0b	(.f64 (+.f64 x y) (+.f64 (fma.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 x (hypot.f64 x y)) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (hypot.f64 x y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (hypot.f64 x y)) (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (hypot.f64 x y))))))

Compiler

Compiled 365 to 179 computations (51% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	0.0b	(/.f64 (-.f64 x y) (hypot.f64 x y))
	0.0b	(/.f64 (+.f64 x y) (hypot.f64 x y))
	0.0b	(hypot.f64 x y)
✓	0.0b	(hypot.f64 x y)
✓	0.0b	(/.f64 (+.f64 x y) (hypot.f64 x y))
✓	0.0b	(/.f64 (-.f64 x y) (hypot.f64 x y))
✓	0.0b	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))

Compiler

Compiled 42 to 8 computations (81% saved)

series51.0ms (0.5%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
39.0ms	y	@	inf	(/.f64 (+.f64 x y) (hypot.f64 x y))
2.0ms	y	@	0	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
1.0ms	x	@	0	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
1.0ms	x	@	inf	(hypot.f64 x y)
0.0ms	y	@	inf	(hypot.f64 x y)

rewrite135.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`prod-diff_binary64`
624×	`log-prod_binary64`
299×	`fma-def_binary64`
267×	`log-div_binary64`
200×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	46
1	214	43
2	3523	43

Stop Event

1×	node limit

Counts

4 → 281

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(/.f64 (+.f64 x y) (hypot.f64 x y))
(hypot.f64 x y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (pow.f64 (hypot.f64 x y) 2)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (pow.f64 (hypot.f64 x y) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (pow.f64 (hypot.f64 x y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x y) (.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x y) (.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 (.f64 x x) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 x y) (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x y)) (.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (hypot.f64 x y)) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 y y))) (neg.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 x y)) (+.f64 x y)) (.f64 (neg.f64 (hypot.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 x y)) 1) (.f64 (neg.f64 (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x y) (neg.f64 (+.f64 x y))) (.f64 (hypot.f64 x y) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 x y)) (neg.f64 (+.f64 x y))) (.f64 (neg.f64 (hypot.f64 x y)) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (.f64 (neg.f64 (hypot.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 x y)) 1) (.f64 (neg.f64 (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (neg.f64 (-.f64 x y))) (.f64 (hypot.f64 x y) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 x y)) (neg.f64 (-.f64 x y))) (.f64 (neg.f64 (hypot.f64 x y)) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (hypot.f64 x y)) 1) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (hypot.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (cbrt.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y))) (sqrt.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (neg.f64 (+.f64 x y))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (neg.f64 (-.f64 x y))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (pow.f64 (hypot.f64 x y) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (pow.f64 (hypot.f64 x y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (hypot.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (pow.f64 (hypot.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) 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simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

507×	`associate-/r*_binary64`
492×	`associate-/l*_binary64`
467×	`associate-+l+_binary64`
375×	`associate-r_binary64`
372×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	195	1761
1	637	1664
2	2191	1538
3	7429	1526

Stop Event

1×	node limit

Counts

377 → 386

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
-1
(-.f64 (/.f64 y x) 1)
(-.f64 (+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y))))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (/.f64 y x) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 y x)) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (/.f64 y x) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) 1)
y
(+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))))))
x
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x)))
(*.f64 -1 x)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 -1 x) (.f64 -1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))))))
x
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x)))
y
(+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))))))
(*.f64 -1 y)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (.f64 -1 y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1 y) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))) (+.f64 (.f64 -1 y) (.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))

Outputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (.f64 (/.f64 x (.f64 y y)) x) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (.f64 (/.f64 x (.f64 y y)) x) (fma.f64 -2 (pow.f64 (/.f64 x y) 4) -1))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1)
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (.f64 (/.f64 x (.f64 y y)) x) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (.f64 (/.f64 x (.f64 y y)) x) (fma.f64 -2 (pow.f64 (/.f64 x y) 4) -1)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (+.f64 1 (/.f64 y x)) (/.f64 (neg.f64 y) x))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (.f64 -1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 y x)))) (/.f64 (.f64 y y) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (.f64 0 (/.f64 y x)) (fma.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)) 1))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (.f64 -1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 y x)))) (/.f64 (.f64 y y) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (.f64 0 (/.f64 y x)) (fma.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)) 1))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (+.f64 1 (/.f64 y x)) (/.f64 (neg.f64 y) x))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (.f64 -1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 y x)))) (/.f64 (.f64 y y) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (.f64 0 (/.f64 y x)) (fma.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)) 1))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (.f64 -1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 y x)))) (/.f64 (.f64 y y) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (.f64 0 (/.f64 y x)) (fma.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)) 1))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (/.f64 (.f64 -2 (.f64 y y)) (*.f64 x x)))
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -2 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (.f64 (.f64 y y) -2) (*.f64 x x))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)))))
(+.f64 1 (fma.f64 2 (pow.f64 (/.f64 y x) 4) (.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 -2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 4) 2))) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 y x) 4) (/.f64 (.f64 -2 (pow.f64 y 6)) (pow.f64 x 6))) (fma.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)) 1))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 0 (/.f64 x y))) (fma.f64 -1 (/.f64 (.f64 x x) (*.f64 y y)) 1))
(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 -1 (fma.f64 (/.f64 x y) (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) x)))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 0 (/.f64 x y))) (fma.f64 -1 (/.f64 (.f64 x x) (*.f64 y y)) 1))
(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 -1 (fma.f64 (/.f64 x y) (/.f64 x y) (.f64 (/.f64 x (.f64 y y)) x)))
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 0 (/.f64 x y))) (fma.f64 -1 (/.f64 (.f64 x x) (*.f64 y y)) 1))
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(-.f64 (fma.f64 -1/2 (.f64 (/.f64 y x) y) (.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 y 4))) x)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 -1 x) (.f64 -1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))))))
(fma.f64 -1/2 (/.f64 (.f64 y y) x) (fma.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 -1 x (.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) -1/16))))
(fma.f64 -1/2 (/.f64 (.f64 y y) x) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) 1/8 (-.f64 (.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) -1/16) x)))
(fma.f64 -1/2 (.f64 (/.f64 y x) y) (fma.f64 (/.f64 y (pow.f64 (/.f64 x y) 3)) 1/8 (-.f64 (.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) -1/16) x)))
(fma.f64 -1/2 (.f64 (/.f64 y x) y) (fma.f64 (/.f64 y (pow.f64 (/.f64 x y) 3)) 1/8 (-.f64 (/.f64 (.f64 (pow.f64 y 6) -1/16) (pow.f64 x 5)) x)))
x
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) x)
(fma.f64 1/2 (/.f64 (*.f64 y y) x) x)
(fma.f64 1/2 (*.f64 (/.f64 y x) y) x)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x))
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (fma.f64 -1/8 (/.f64 y (pow.f64 (/.f64 x y) 3)) x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x)))
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x)))
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (fma.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 y (pow.f64 (/.f64 x y) 3)) x)))
y
(+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 y (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) y)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 y (.f64 1/2 (/.f64 (.f64 x x) y))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 x (/.f64 y x)) y))
(fma.f64 -1/8 (/.f64 x (pow.f64 (/.f64 y x) 3)) (fma.f64 1/2 (/.f64 x (/.f64 y x)) y))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 y (fma.f64 1/2 (/.f64 (.f64 x x) y) (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1/16 (/.f64 (pow.f64 y 5) (pow.f64 x 6)))) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) y))
(fma.f64 -1/8 (/.f64 x (pow.f64 (/.f64 y x) 3)) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 (pow.f64 x 6) 1/16) (pow.f64 y 5))))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (.f64 -1 y))
(fma.f64 -1/2 (/.f64 (*.f64 x x) y) (neg.f64 y))
(-.f64 (/.f64 (.f64 (.f64 -1/2 x) x) y) y)
(-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1 y) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 -1/2 (/.f64 (.f64 x x) y) (fma.f64 -1 y (/.f64 (.f64 1/8 (pow.f64 x 4)) (pow.f64 y 3))))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) 1/8) y))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (-.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 3) 1/8)) y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))) (+.f64 (.f64 -1 y) (.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 (.f64 x x) y) (fma.f64 -1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)) (fma.f64 -1 y (/.f64 (.f64 1/8 (pow.f64 x 4)) (pow.f64 y 3)))))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 5)) -1/16 (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) 1/8) y)))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 5)) -1/16 (-.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 3) 1/8)) y)))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (+.f64 x y) (/.f64 1 x))
✓	0.2b	(*.f64 (+.f64 x y) (/.f64 1 x))

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`pow1_binary64`
756×	`add-log-exp_binary64`
756×	`log1p-expm1-u_binary64`
756×	`expm1-log1p-u_binary64`
740×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	151	7
2	2088	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (/.f64 1 x))

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	141
1	9	141

Stop Event

1×

saturated

Counts

64 → 44

Calls

Call 1

Inputs
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))

Outputs
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)

localize45.0ms (0.5%)

Local error

Found 6 expressions with local error:

New	Error	Program
	19.7b	(/.f64 (-.f64 x y) (+.f64 (.f64 y y) (.f64 x x)))
	0.2b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 (.f64 y y) (*.f64 x x))))
	0.0b	(+.f64 (.f64 y y) (.f64 x x))
✓	0.0b	(+.f64 (.f64 y y) (.f64 x x))
✓	0.2b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 (.f64 y y) (*.f64 x x))))
✓	19.7b	(/.f64 (-.f64 x y) (+.f64 (.f64 y y) (.f64 x x)))

Compiler

Compiled 49 to 9 computations (81.6% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (-.f64 x y) (+.f64 (.f64 y y) (.f64 x x)))
0.0ms	y	@	-inf	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 (.f64 y y) (*.f64 x x))))
0.0ms	x	@	-inf	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 (.f64 y y) (*.f64 x x))))
0.0ms	x	@	inf	(/.f64 (-.f64 x y) (+.f64 (.f64 y y) (.f64 x x)))
0.0ms	x	@	inf	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 (.f64 y y) (*.f64 x x))))

rewrite133.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`log-prod_binary64`
595×	`fma-def_binary64`
319×	`pow2_binary64`
276×	`fma-neg_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	235	39
2	3836	39

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 (.f64 y y) (.f64 x x)))
(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 (.f64 y y) (*.f64 x x))))
(+.f64 (.f64 y y) (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (pow.f64 (hypot.f64 x y) 2)) (neg.f64 (/.f64 y (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (pow.f64 (hypot.f64 x y) 2)) (/.f64 y (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (pow.f64 (hypot.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 y 4) (-.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (*.f64 y y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 6) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 y 4) (pow.f64 x 4)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 1 (-.f64 (*.f64 y y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 y 4) (pow.f64 x 4)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 y 6) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (pow.f64 y 4) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 6) (pow.f64 x 6)) (-.f64 (+.f64 (pow.f64 y 4) (pow.f64 x 4)) (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 6) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 4) (pow.f64 x 4)) (-.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 6) (pow.f64 x 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 y 4) (pow.f64 x 4)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y 4) (pow.f64 x 4))) (neg.f64 (-.f64 (*.f64 y y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 x x (neg.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 y 4) (pow.f64 x 4)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 y 6) (pow.f64 x 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (pow.f64 y 4) (pow.f64 x 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y y)) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (exp.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x y))) 1))))))

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

692×	`times-frac_binary64`
531×	`fma-def_binary64`
297×	`sub-neg_binary64`
295×	`associate-/l*_binary64`
293×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	288
1	373	288
2	1382	288
3	6203	288

Stop Event

1×	node limit

Counts

237 → 195

Calls

Call 1

Inputs
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))

Outputs
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 -1 y)
(/.f64 1 x)
(/.f64 -1 y)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(/.f64 -1 y)
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(/.f64 -1 y)
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 -1 y)
(/.f64 1 x)
(/.f64 -1 y)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(/.f64 -1 y)
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(/.f64 -1 y)
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 -1 y)
(/.f64 1 x)
(/.f64 -1 y)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(/.f64 -1 y)
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(/.f64 -1 y)
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 -1 y)
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 -1 y)
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 -1 y)
-1
(/.f64 -1 y)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(/.f64 -1 y)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(/.f64 -1 y)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(/.f64 -1 y)
1
(/.f64 -1 y)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 -1 y)
1
(/.f64 -1 y)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(/.f64 -1 y)
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(/.f64 -1 y)
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
(/.f64 -1 y)
1
(/.f64 -1 y)
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(/.f64 -1 y)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(/.f64 -1 y)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(/.f64 -1 y)
-1
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 -1 y)
-1
(/.f64 -1 y)
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 -1 y)
(pow.f64 x 2)
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(pow.f64 y 2)
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(pow.f64 y 2)
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(pow.f64 y 2)
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(pow.f64 x 2)
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(pow.f64 x 2)
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(/.f64 -1 y)

localize38.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	20.0b	(/.f64 (+.f64 (.f64 (+.f64 x y) x) (.f64 (+.f64 x y) (neg.f64 y))) (+.f64 (.f64 x x) (.f64 y y)))
	0.0b	(*.f64 (+.f64 x y) (neg.f64 y))
	0.0b	(*.f64 (+.f64 x y) x)
	0.0b	(+.f64 (.f64 x x) (.f64 y y))
	0.0b	(+.f64 (.f64 x x) (.f64 y y))
✓	0.0b	(*.f64 (+.f64 x y) x)
✓	0.0b	(*.f64 (+.f64 x y) (neg.f64 y))
✓	20.0b	(/.f64 (+.f64 (.f64 (+.f64 x y) x) (.f64 (+.f64 x y) (neg.f64 y))) (+.f64 (.f64 x x) (.f64 y y)))

Compiler

Compiled 65 to 11 computations (83.1% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`fma-def_binary64`
573×	`log-prod_binary64`
356×	`fma-neg_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	282	24
2	4793	24

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (+.f64 x y) x) (.f64 (+.f64 x y) (neg.f64 y))) (+.f64 (.f64 x x) (.f64 y y)))
(*.f64 (+.f64 x y) (neg.f64 y))
(*.f64 (+.f64 x y) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (*.f64 (+.f64 x y) (/.f64 1 (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) 2) (/.f64 1 (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (/.f64 1 (pow.f64 (+.f64 x y) 2)) (/.f64 (+.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (+.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 1 (pow.f64 (+.f64 x y) 2)) (/.f64 1 (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 2) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 1 (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (+.f64 x y) 2)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 x y) 2)) (pow.f64 (+.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 2) (+.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) 1) (/.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 2)) (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 2)) (/.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 2)) (/.f64 (+.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (+.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3) (pow.f64 (*.f64 y (+.f64 x y)) 3))) (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 x (*.f64 (+.f64 x y) (*.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 (pow.f64 x 6) (pow.f64 y 6))) (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (pow.f64 (+.f64 x y) 2)) (/.f64 1 (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (+.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (+.f64 x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (+.f64 x y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (+.f64 x y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x y) (+.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (neg.f64 (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (+.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (+.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (+.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 x y) 2) 3) (pow.f64 (pow.f64 (+.f64 x y) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (+.f64 x y))) 1))))))

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

644×	`fma-neg_binary64`
549×	`associate-/r/_binary64`
447×	`associate-/l/_binary64`
418×	`fma-def_binary64`
409×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	860
1	336	751
2	1224	677
3	4666	632

Stop Event

1×	node limit

Counts

211 → 177

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 y (.f64 -1 y)) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 y (.f64 -1 y)) x)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 y (.f64 -1 y)) x)) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(+.f64 (*.f64 y x) (pow.f64 x 2))

Outputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 2) -1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1)
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(fma.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
1
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (.f64 y y) (.f64 x x)))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)) 1) (.f64 0 (/.f64 y x)))
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (.f64 y y) (.f64 x x)))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)) 1) (.f64 0 (/.f64 y x)))
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 y (.f64 -1 y)) x)))
1
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 y (.f64 -1 y)) x)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (.f64 y y) (.f64 x x)))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)) 1) (.f64 0 (/.f64 y x)))
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 y (.f64 -1 y)) x)) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (.f64 y y) (.f64 x x)))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)) 1) (.f64 0 (/.f64 y x)))
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 (+.f64 (/.f64 y x) 1) (fma.f64 -1 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 (.f64 y y) (.f64 x x)))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)) 1) (.f64 0 (/.f64 y x)))
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -2 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 (/.f64 -2 x) (/.f64 (.f64 y y) x))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 -2 (+.f64 (.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 2) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 2) -1)
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 2) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 2) -1)
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (*.f64 y x)))
(.f64 -1 (+.f64 (.f64 y y) (*.f64 x y)))
(neg.f64 (*.f64 y (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))

localize24.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	33.3b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4)))
	21.1b	(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (-.f64 (.f64 x x) (*.f64 y y)))
	0.0b	(-.f64 (.f64 x x) (.f64 y y))
	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
✓	0.0b	(-.f64 (.f64 x x) (.f64 y y))
✓	21.1b	(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (-.f64 (.f64 x x) (*.f64 y y)))
✓	33.3b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4)))

Compiler

Compiled 69 to 28 computations (59.4% saved)

series18.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4)))
3.0ms	x	@	0	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4)))
1.0ms	y	@	inf	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4)))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4)))
1.0ms	y	@	0	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4)))

rewrite142.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`log-prod_binary64`
693×	`fma-def_binary64`
290×	`fma-neg_binary64`
234×	`expm1-udef_binary64`
234×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	289	51
2	4209	50

Stop Event

1×	node limit

Counts

4 → 416

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4)))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (-.f64 (.f64 x x) (*.f64 y y)))
(-.f64 (.f64 x x) (.f64 y y))
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Outputs
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(pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 (neg.f64 (pow.f64 y 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) 1))))))

simplify127.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

926×	`fma-neg_binary64`
588×	`associate-/r/_binary64`
509×	`associate-/l/_binary64`
321×	`times-frac_binary64`
314×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	1674
1	243	1578
2	741	1512
3	3160	1512

Stop Event

1×	node limit

Counts

512 → 462

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (/.f64 1 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 6) (pow.f64 x 8))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 6) (pow.f64 x 8))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 6) (pow.f64 x 8))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (/.f64 1 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))))
(/.f64 1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (/.f64 1 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))) (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 4))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))
(pow.f64 x 4)
(+.f64 (*.f64 -1 (pow.f64 y 4)) (pow.f64 x 4))
(+.f64 (*.f64 -1 (pow.f64 y 4)) (pow.f64 x 4))
(+.f64 (*.f64 -1 (pow.f64 y 4)) (pow.f64 x 4))
(pow.f64 x 4)
(+.f64 (*.f64 -1 (pow.f64 y 4)) (pow.f64 x 4))
(+.f64 (*.f64 -1 (pow.f64 y 4)) (pow.f64 x 4))
(+.f64 (*.f64 -1 (pow.f64 y 4)) (pow.f64 x 4))
(pow.f64 x 4)
(+.f64 (*.f64 -1 (pow.f64 y 4)) (pow.f64 x 4))
(+.f64 (*.f64 -1 (pow.f64 y 4)) (pow.f64 x 4))
(+.f64 (*.f64 -1 (pow.f64 y 4)) (pow.f64 x 4))
(*.f64 -1 (pow.f64 y 4))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))
(*.f64 -1 (pow.f64 y 4))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))

Outputs
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 -1 (/.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1 (.f64 y y)))
(-.f64 (/.f64 1 (.f64 y y)) (/.f64 (.f64 x x) (pow.f64 y 4)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 6))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1 (.f64 y y))) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (-.f64 (/.f64 1 (.f64 y y)) (/.f64 (.f64 x x) (pow.f64 y 4))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (/.f64 (.f64 x x) (pow.f64 y 4))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))))
(fma.f64 -1 (/.f64 (.f64 x x) (pow.f64 y 4)) (fma.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8)) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 6))) (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (/.f64 (.f64 x x) (pow.f64 y 4)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (-.f64 (-.f64 (/.f64 1 (.f64 y y)) (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (/.f64 (.f64 x x) (pow.f64 y 4))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (-.f64 (/.f64 1 (.f64 y y)) (+.f64 (/.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 (pow.f64 x 6) (pow.f64 y 8)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(fma.f64 -1 (/.f64 (.f64 y y) (pow.f64 x 4)) (/.f64 1 (.f64 x x)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 y (/.f64 (pow.f64 x 4) y)))
(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 y y) (pow.f64 x 4)))
(-.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 y (pow.f64 x 4)) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1 (/.f64 (.f64 y y) (pow.f64 x 4)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 6))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 6))) (/.f64 y (/.f64 (pow.f64 x 4) y)))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 y y) (pow.f64 x 4))))
(+.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (.f64 (/.f64 y (pow.f64 x 4)) y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 6) (pow.f64 x 8))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (/.f64 (.f64 y y) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (pow.f64 y 6) (pow.f64 x 8)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 6))) (/.f64 (pow.f64 y 6) (pow.f64 x 8))) (/.f64 y (/.f64 (pow.f64 x 4) y)))
(+.f64 (/.f64 1 (.f64 x x)) (-.f64 (-.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 (pow.f64 y 6) (pow.f64 x 8))) (/.f64 (.f64 y y) (pow.f64 x 4))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (-.f64 (-.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 y (pow.f64 x 4)) y)) (/.f64 (pow.f64 y 6) (pow.f64 x 8))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(fma.f64 -1 (/.f64 (.f64 y y) (pow.f64 x 4)) (/.f64 1 (.f64 x x)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 y (/.f64 (pow.f64 x 4) y)))
(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 y y) (pow.f64 x 4)))
(-.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 y (pow.f64 x 4)) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1 (/.f64 (.f64 y y) (pow.f64 x 4)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 6))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 6))) (/.f64 y (/.f64 (pow.f64 x 4) y)))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 y y) (pow.f64 x 4))))
(+.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (.f64 (/.f64 y (pow.f64 x 4)) y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 6) (pow.f64 x 8))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (/.f64 (.f64 y y) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (pow.f64 y 6) (pow.f64 x 8)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 6))) (/.f64 (pow.f64 y 6) (pow.f64 x 8))) (/.f64 y (/.f64 (pow.f64 x 4) y)))
(+.f64 (/.f64 1 (.f64 x x)) (-.f64 (-.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 (pow.f64 y 6) (pow.f64 x 8))) (/.f64 (.f64 y y) (pow.f64 x 4))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (-.f64 (-.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 y (pow.f64 x 4)) y)) (/.f64 (pow.f64 y 6) (pow.f64 x 8))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(fma.f64 -1 (/.f64 (.f64 y y) (pow.f64 x 4)) (/.f64 1 (.f64 x x)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 y (/.f64 (pow.f64 x 4) y)))
(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 y y) (pow.f64 x 4)))
(-.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 y (pow.f64 x 4)) y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1 (/.f64 (.f64 y y) (pow.f64 x 4)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 6))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 6))) (/.f64 y (/.f64 (pow.f64 x 4) y)))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 y y) (pow.f64 x 4))))
(+.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (.f64 (/.f64 y (pow.f64 x 4)) y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 6) (pow.f64 x 8))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (/.f64 (.f64 y y) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (pow.f64 y 6) (pow.f64 x 8)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 6))) (/.f64 (pow.f64 y 6) (pow.f64 x 8))) (/.f64 y (/.f64 (pow.f64 x 4) y)))
(+.f64 (/.f64 1 (.f64 x x)) (-.f64 (-.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (/.f64 (pow.f64 y 6) (pow.f64 x 8))) (/.f64 (.f64 y y) (pow.f64 x 4))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 6)) (-.f64 (-.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 y (pow.f64 x 4)) y)) (/.f64 (pow.f64 y 6) (pow.f64 x 8))))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 -1 (/.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1 (.f64 y y)))
(-.f64 (/.f64 1 (.f64 y y)) (/.f64 (.f64 x x) (pow.f64 y 4)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 6))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1 (.f64 y y))) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (-.f64 (/.f64 1 (.f64 y y)) (/.f64 (.f64 x x) (pow.f64 y 4))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (/.f64 (.f64 x x) (pow.f64 y 4))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))))
(fma.f64 -1 (/.f64 (.f64 x x) (pow.f64 y 4)) (fma.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8)) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 6))) (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (/.f64 (.f64 x x) (pow.f64 y 4)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (-.f64 (-.f64 (/.f64 1 (.f64 y y)) (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (/.f64 (.f64 x x) (pow.f64 y 4))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (-.f64 (/.f64 1 (.f64 y y)) (+.f64 (/.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 (pow.f64 x 6) (pow.f64 y 8)))))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 -1 (/.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1 (.f64 y y)))
(-.f64 (/.f64 1 (.f64 y y)) (/.f64 (.f64 x x) (pow.f64 y 4)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 6))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1 (.f64 y y))) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (-.f64 (/.f64 1 (.f64 y y)) (/.f64 (.f64 x x) (pow.f64 y 4))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (/.f64 (.f64 x x) (pow.f64 y 4))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))))
(fma.f64 -1 (/.f64 (.f64 x x) (pow.f64 y 4)) (fma.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 8)) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 6))) (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (/.f64 (.f64 x x) (pow.f64 y 4)))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (-.f64 (-.f64 (/.f64 1 (.f64 y y)) (/.f64 (pow.f64 x 6) (pow.f64 y 8))) (/.f64 (.f64 x x) (pow.f64 y 4))))
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (-.f64 (/.f64 1 (.f64 y y)) (+.f64 (/.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 (pow.f64 x 6) (pow.f64 y 8)))))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 2 (.f64 (/.f64 x (.f64 y y)) x) -1)
(fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) -1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
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(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
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(fma.f64 -1 (pow.f64 y 4) (pow.f64 x 4))
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(fma.f64 -1 (pow.f64 y 4) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
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(fma.f64 -1 (pow.f64 y 4) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
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(-.f64 (pow.f64 x 4) (pow.f64 y 4))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))
(fma.f64 -1 (pow.f64 y 4) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))
(fma.f64 -1 (pow.f64 y 4) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
(*.f64 -1 (pow.f64 y 4))
(neg.f64 (pow.f64 y 4))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))
(fma.f64 -1 (pow.f64 y 4) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))
(fma.f64 -1 (pow.f64 y 4) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
(+.f64 (pow.f64 x 4) (*.f64 -1 (pow.f64 y 4)))
(fma.f64 -1 (pow.f64 y 4) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

eval756.0ms (7.9%)

Compiler: Compiled 45038 to 15513 computations (65.6% saved)

prune300.0ms (3.1%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1531	10	1541
Fresh	3	1	4
Picked	1	0	1
Done	0	5	5
Total	1535	16	1551

Error

Counts

1551 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	23.0b	-1
▶	38.8b	(.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))
▶	0.0b	(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
	46.1b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (.f64 y y)))
✓	0.0b	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
▶	22.1b	(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
▶	41.0b	(*.f64 (/.f64 1 (+.f64 x y)) (+.f64 x y))
▶	40.4b	(/.f64 (+.f64 x y) x)
	40.2b	(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
	40.4b	(-.f64 (+.f64 1 (/.f64 (+.f64 x y) x)) 1)
	40.9b	1
✓	20.8b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 (.f64 y y) (*.f64 x x))))
✓	40.5b	(*.f64 (+.f64 x y) (/.f64 1 x))
	20.8b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
✓	20.3b	(/.f64 (+.f64 (.f64 (+.f64 x y) x) (.f64 (+.f64 x y) (neg.f64 y))) (+.f64 (.f64 x x) (.f64 y y)))
✓	20.3b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 320 to 179 computations (44.1% saved)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (hypot.f64 x y) (-.f64 x y))
	0.0b	(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
	0.0b	(/.f64 (+.f64 x y) (hypot.f64 x y))
	0.0b	(hypot.f64 x y)
	0.0b	(hypot.f64 x y)
	0.0b	(/.f64 (+.f64 x y) (hypot.f64 x y))
✓	0.0b	(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
✓	0.0b	(/.f64 (hypot.f64 x y) (-.f64 x y))

Compiler

Compiled 42 to 8 computations (81% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`prod-diff_binary64`
661×	`log-prod_binary64`
277×	`log-div_binary64`
264×	`fma-def_binary64`
206×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	216	29
2	3555	29

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

Inputs
(/.f64 (hypot.f64 x y) (-.f64 x y))
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))

Outputs

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

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

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

537×	`associate-/l*_binary64`
525×	`associate-/r*_binary64`
405×	`associate-+l+_binary64`
367×	`associate-r_binary64`
310×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	930
1	547	807
2	2068	699

Stop Event

1×	node limit

Counts

147 → 154

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) 1)
1
(+.f64 (/.f64 y x) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (/.f64 (.f64 y (-.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3)) (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
-1
(-.f64 (*.f64 -1 (/.f64 y x)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 3)) (.f64 -1 (/.f64 x y)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
1
(+.f64 1 (/.f64 x y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 3)) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))

Outputs
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(fma.f64 -1 (/.f64 x y) -1)
(-.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y))) 1)
(+.f64 (fma.f64 -3/2 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (neg.f64 x) y)) -1)
(fma.f64 -3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -1 (/.f64 x y) -1))
(-.f64 (fma.f64 -3/2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) (/.f64 x y))
(-.f64 (+.f64 (.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) 1)
(+.f64 (fma.f64 -3/2 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (neg.f64 x) y))) -1)
(+.f64 -1 (-.f64 (.f64 -3/2 (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 x y)))
(+.f64 -1 (fma.f64 -3/2 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) 1)) (/.f64 (neg.f64 x) y)))
1
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 y y) (.f64 x x)))) (/.f64 (neg.f64 (.f64 y y)) (*.f64 x x))))
(+.f64 (/.f64 y x) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 3/2 1))
(+.f64 (/.f64 y x) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) 3/2 1))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (/.f64 (.f64 y (-.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3)) (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 y y) (.f64 x x))) (/.f64 (.f64 y (.f64 (.f64 y y) 3/2)) (pow.f64 x 3)))) (/.f64 (neg.f64 (.f64 y y)) (.f64 x x))))
(+.f64 (/.f64 y x) (fma.f64 3/2 (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) 1))
(+.f64 (/.f64 y x) (fma.f64 3/2 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (pow.f64 (/.f64 y x) 3)) 1))
-1
(-.f64 (*.f64 -1 (/.f64 y x)) 1)
(fma.f64 -1 (/.f64 y x) -1)
(-.f64 -1 (/.f64 y x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))) 1)
(+.f64 (neg.f64 (/.f64 (.f64 (.f64 y y) 3/2) (*.f64 x x))) (fma.f64 -1 (/.f64 y x) -1))
(fma.f64 -1 (+.f64 (/.f64 y x) (.f64 (/.f64 (.f64 y y) x) (/.f64 3/2 x))) -1)
(+.f64 (.f64 -3/2 (/.f64 (.f64 y y) (*.f64 x x))) (-.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (.f64 (.f64 y y) 3/2) (.f64 x x)) (.f64 -1 (+.f64 (/.f64 (.f64 y (.f64 (*.f64 y y) 3/2)) (pow.f64 x 3)) (/.f64 y x)))) -1)
(+.f64 -1 (-.f64 (neg.f64 (.f64 3/2 (+.f64 (.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) (/.f64 y x)))
(+.f64 -1 (-.f64 (.f64 -3/2 (+.f64 (/.f64 (.f64 y y) (*.f64 x x)) (pow.f64 (/.f64 y x) 3))) (/.f64 y x)))
1
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (.f64 1/2 (/.f64 (.f64 y y) (.f64 x x)))) (/.f64 (neg.f64 (.f64 y y)) (*.f64 x x))))
(+.f64 (/.f64 y x) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 3/2 1))
(+.f64 (/.f64 y x) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) 3/2 1))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 y y) (.f64 x x))) (/.f64 (.f64 y (.f64 (.f64 y y) 3/2)) (pow.f64 x 3)))) (/.f64 (neg.f64 (.f64 y y)) (.f64 x x))))
(+.f64 (/.f64 y x) (fma.f64 3/2 (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) 1))
(+.f64 (/.f64 y x) (fma.f64 3/2 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (pow.f64 (/.f64 y x) 3)) 1))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(fma.f64 -1 (/.f64 x y) -1)
(-.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
(+.f64 (fma.f64 -3/2 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (neg.f64 x) y)) -1)
(fma.f64 -3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -1 (/.f64 x y) -1))
(-.f64 (fma.f64 -3/2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) (/.f64 x y))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 3)) (.f64 -1 (/.f64 x y)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
(+.f64 (fma.f64 -3/2 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (neg.f64 x) y))) -1)
(+.f64 -1 (-.f64 (.f64 -3/2 (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 x y)))
(+.f64 -1 (fma.f64 -3/2 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) 1)) (/.f64 (neg.f64 x) y)))
1
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (.f64 (/.f64 (.f64 x x) (.f64 y y)) 1/2)) (/.f64 (neg.f64 (.f64 x x)) (*.f64 y y))))
(+.f64 1 (+.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1/2 (/.f64 x y)) (.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 x (/.f64 (.f64 y y) (.f64 x 3/2)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 3)) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 (/.f64 (.f64 x x) (.f64 y y)) 1/2) (/.f64 (.f64 x (.f64 (.f64 x x) 3/2)) (pow.f64 y 3)))) (/.f64 (neg.f64 (.f64 x x)) (.f64 y y))))
(+.f64 (+.f64 (/.f64 x y) 1) (+.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1/2 (/.f64 (.f64 (pow.f64 x 3) 3/2) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (.f64 (pow.f64 (/.f64 x y) 3) 3/2) (+.f64 (/.f64 x y) (+.f64 1 (/.f64 x (/.f64 (.f64 y y) (*.f64 x 3/2))))))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1)
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (+.f64 1 (/.f64 y x)) (neg.f64 (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 y x)))) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (.f64 0 (/.f64 y x)) (fma.f64 (/.f64 (.f64 y y) (*.f64 x x)) -2 1))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 y x)))) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (.f64 0 (/.f64 y x)) (fma.f64 (/.f64 (.f64 y y) (*.f64 x x)) -2 1))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (+.f64 1 (/.f64 y x)) (neg.f64 (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 y x)))) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (.f64 0 (/.f64 y x)) (fma.f64 (/.f64 (.f64 y y) (*.f64 x x)) -2 1))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 y x)))) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (.f64 0 (/.f64 y x)) (fma.f64 (/.f64 (.f64 y y) (*.f64 x x)) -2 1))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (.f64 (/.f64 (.f64 y y) (*.f64 x x)) -2))
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1)
(fma.f64 (/.f64 (.f64 y y) (.f64 x x)) -2 1)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -2 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 (/.f64 -2 x) (/.f64 (.f64 y y) x))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (.f64 y (.f64 y -2)) (*.f64 x x))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) -2 (fma.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(+.f64 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 (/.f64 -2 (pow.f64 x 6)) (pow.f64 y 6))) (fma.f64 (/.f64 (.f64 y y) (*.f64 x x)) -2 1))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(fma.f64 2 (/.f64 (.f64 x x) (.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x y) x)
✓	0.0b	(/.f64 (+.f64 x y) x)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`pow1_binary64`
675×	`add-log-exp_binary64`
675×	`log1p-expm1-u_binary64`
675×	`expm1-log1p-u_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	115	7
2	1766	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) x)

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	141
1	9	141

Stop Event

1×

saturated

Counts

55 → 35

Calls

Call 1

Inputs
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))

Outputs
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) (+.f64 x y))
	0.0b	(/.f64 1 (+.f64 x y))
✓	0.0b	(/.f64 1 (+.f64 x y))
✓	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) (+.f64 x y))

Compiler

Compiled 22 to 9 computations (59.1% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
654×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	157	8
2	1883	8

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (+.f64 x y)) (+.f64 x y))
(/.f64 1 (+.f64 x y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

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

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

734×	`associate-/l*_binary64`
587×	`associate-/r*_binary64`
579×	`fma-def_binary64`
437×	`associate-*l/_binary64`
297×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	540
1	94	498
2	284	462
3	1204	438
4	7592	438

Stop Event

1×	node limit

Counts

71 → 37

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	26.4b	(.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))
	0.1b	(/.f64 1 (*.f64 y y))
	0.0b	(-.f64 (.f64 x x) (.f64 y y))
	0.0b	(-.f64 (.f64 x x) (.f64 y y))
✓	0.1b	(/.f64 1 (*.f64 y y))
✓	26.4b	(.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))

Compiler

Compiled 36 to 11 computations (69.4% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`prod-diff_binary64`
449×	`log-prod_binary64`
433×	`fma-def_binary64`
346×	`pow-prod-down_binary64`
240×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	200	20
2	2806	17

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 y -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 (pow.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y -4)) (pow.f64 (cbrt.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) -2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) -6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 6) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 y (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 y -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y -6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 y)) 1))))))

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

840×	`fma-neg_binary64`
570×	`unswap-sqr_binary64`
555×	`times-frac_binary64`
479×	`fma-def_binary64`
391×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	351
1	22	351
2	38	315
3	89	315
4	343	315
5	2603	315
6	4071	315
7	5149	315
8	7594	315

Stop Event

1×	node limit

Counts

180 → 151

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 x (/.f64 y x))
	0.1b	(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
✓	0.1b	(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
✓	0.1b	(/.f64 x (/.f64 y x))

Compiler

Compiled 27 to 12 computations (55.6% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
1.0ms	x	@	inf	(/.f64 x (/.f64 y x))
1.0ms	x	@	0	(/.f64 x (/.f64 y x))
1.0ms	y	@	-inf	(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)
1.0ms	y	@	0	(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1)

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`log-prod_binary64`
378×	`exp-prod_binary64`
300×	`prod-exp_binary64`
264×	`pow-prod-down_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	193	21
2	2541	18

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

Outputs

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

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

simplify142.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

708×	`associate-/l*_binary64`
496×	`sqr-pow_binary64`
424×	`associate-/l/_binary64`
421×	`associate-/r*_binary64`
399×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	462
1	27	462
2	53	462
3	148	462
4	769	462
5	4777	462
6	5650	462
7	5876	462
8	6088	462
9	6336	462
10	6673	462
11	7109	462
12	7670	462

Stop Event

1×	node limit

Counts

143 → 101

Calls

Call 1

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

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

eval245.0ms (2.5%)

Compiler: Compiled 16659 to 6200 computations (62.8% saved)

prune119.0ms (1.2%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	804	5	809
Fresh	2	4	6
Picked	1	0	1
Done	1	8	9
Total	808	17	825

Error

Counts

825 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
▶	46.1b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (.f64 y y)))
✓	0.0b	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
✓	41.0b	(*.f64 (/.f64 1 (+.f64 x y)) (+.f64 x y))
✓	40.4b	(/.f64 (+.f64 x y) x)
▶	40.4b	(-.f64 (+.f64 1 (/.f64 (+.f64 x y) x)) 1)
▶	38.0b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
▶	28.7b	(-.f64 (/.f64 (.f64 x x) (.f64 y y)) 1)
	40.9b	1
	23.0b	-1
✓	40.5b	(*.f64 (+.f64 x y) (/.f64 1 x))
▶	20.8b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
✓	20.3b	(/.f64 (+.f64 (.f64 (+.f64 x y) x) (.f64 (+.f64 x y) (neg.f64 y))) (+.f64 (.f64 x x) (.f64 y y)))
	22.1b	(+.f64 -1 (*.f64 2 (pow.f64 (/.f64 y x) -2)))
	40.2b	(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
✓	20.3b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
✓	20.8b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 (.f64 y y) (*.f64 x x))))

Compiler

Compiled 301 to 173 computations (42.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	19.7b	(/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))
	0.2b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
✓	0.2b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
✓	19.7b	(/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))

Compiler

Compiled 43 to 8 computations (81.4% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
0.0ms	x	@	0	(/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))
0.0ms	y	@	inf	(/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))
0.0ms	x	@	-inf	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
0.0ms	x	@	0	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))

rewrite110.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`prod-diff_binary64`
553×	`log-prod_binary64`
347×	`fma-def_binary64`
281×	`pow2_binary64`
204×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	205	32
2	3182	32

Stop Event

1×	node limit

Counts

2 → 228

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))
(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))

Outputs

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

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

692×	`times-frac_binary64`
522×	`fma-def_binary64`
295×	`associate-/l*_binary64`
293×	`sub-neg_binary64`
292×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	192
1	371	192
2	1376	192
3	6196	192

Stop Event

1×	node limit

Counts

276 → 255

Calls

Call 1

Inputs
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))

Outputs
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 -1 y)
(/.f64 1 x)
(/.f64 -1 y)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(/.f64 -1 y)
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(/.f64 -1 y)
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 -1 y)
(/.f64 1 x)
(/.f64 -1 y)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(/.f64 -1 y)
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(/.f64 -1 y)
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 -1 y)
(/.f64 1 x)
(/.f64 -1 y)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(/.f64 -1 y)
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(/.f64 -1 y)
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 -1 y)
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 -1 y)
(/.f64 -1 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y))
(/.f64 -1 y)
-1
(/.f64 -1 y)
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(/.f64 -1 y)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(/.f64 -1 y)
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(/.f64 -1 y)
1
(/.f64 -1 y)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 -1 y)
1
(/.f64 -1 y)
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(/.f64 -1 y)
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(/.f64 -1 y)
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 y (.f64 -1 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
(/.f64 -1 y)
1
(/.f64 -1 y)
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(/.f64 -1 y)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(/.f64 -1 y)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(/.f64 -1 y)
-1
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3))) (.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 -1 y)
-1
(/.f64 -1 y)
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) 1)
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 -1 y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(/.f64 -1 y)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	21.3b	(/.f64 (.f64 x x) (.f64 y y))
✓	21.3b	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`pow1_binary64`
640×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
621×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	129	7
2	1800	7

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (.f64 y y))

Outputs

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

simplify102.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1146×	`associate-/r/_binary64`
624×	`sqr-pow_binary64`
570×	`unswap-sqr_binary64`
555×	`times-frac_binary64`
256×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	240
1	15	240
2	30	240
3	73	240
4	304	240
5	2527	240
6	3788	240
7	3972	240
8	4189	240
9	4433	240
10	4764	240
11	6632	240
12	7286	240
13	7965	240

Stop Event

1×	node limit

Counts

58 → 36

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))

Outputs
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 29 to 11 computations (62.1% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`prod-diff_binary64`
517×	`fma-def_binary64`
405×	`log-prod_binary64`
241×	`fma-neg_binary64`
232×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	190	17
2	2887	17

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	282
1	12	282

Stop Event

1×

saturated

Counts

216 → 175

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	25.1b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
	0.0b	(-.f64 (.f64 x x) (.f64 y y))
	0.0b	(-.f64 (.f64 x x) (.f64 y y))
✓	25.1b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`prod-diff_binary64`
443×	`log-prod_binary64`
395×	`fma-def_binary64`
293×	`pow-prod-down_binary64`
223×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	169	13
2	2691	10

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 x y) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (pow.f64 (/.f64 x y) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))) (/.f64 1 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (*.f64 (-.f64 x y) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (*.f64 x x) y) y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 (/.f64 (*.f64 x x) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) y) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) 1) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) 1) (/.f64 (-.f64 x y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 y) y)) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 y) y)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (cbrt.f64 y) y)) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (*.f64 (cbrt.f64 y) y)) (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 (/.f64 (*.f64 x x) y) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) (pow.f64 y 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 (/.f64 (*.f64 x x) y) y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) (pow.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (pow.f64 y -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (/.f64 x y) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 x y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (/.f64 x y) 2)) (sqrt.f64 (pow.f64 (/.f64 x y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (/.f64 (*.f64 x x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 (cbrt.f64 y) y)) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (/.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 x (*.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (*.f64 (cbrt.f64 y) y)) (/.f64 x (pow.f64 (cbrt.f64 y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) 1))))))

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

840×	`fma-neg_binary64`
570×	`unswap-sqr_binary64`
555×	`times-frac_binary64`
479×	`fma-def_binary64`
390×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	267
1	21	267
2	35	231
3	82	231
4	323	231
5	2566	231
6	4031	231
7	5109	231
8	7558	231

Stop Event

1×	node limit

Counts

83 → 64

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	16.8b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (.f64 y y)))
	0.1b	(/.f64 1 (*.f64 x x))
	0.0b	(-.f64 (.f64 x x) (.f64 y y))
	0.0b	(-.f64 (.f64 x x) (.f64 y y))
✓	0.1b	(/.f64 1 (*.f64 x x))
✓	16.8b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (.f64 y y)))

Compiler

Compiled 36 to 11 computations (69.4% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`prod-diff_binary64`
457×	`log-prod_binary64`
433×	`fma-def_binary64`
350×	`pow-prod-down_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	201	20
2	2835	17

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) -2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 x (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1))))))

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-/l*_binary64`
519×	`div-sub_binary64`
482×	`fma-def_binary64`
415×	`associate-/r*_binary64`
342×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	393
1	26	357
2	56	357
3	161	357
4	758	357
5	4537	357
6	6453	357

Stop Event

1×	node limit

Counts

180 → 151

Calls

Call 1

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

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

eval368.0ms (3.8%)

Compiler: Compiled 26083 to 10304 computations (60.5% saved)

prune163.0ms (1.7%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	1047	5	1052
Fresh	1	3	4
Picked	1	0	1
Done	3	9	12
Total	1052	17	1069

Error

Counts

1069 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	40.4b	(-.f64 (+.f64 (/.f64 y x) 2) 1)
✓	20.8b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
	22.3b	(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))
✓	20.3b	(/.f64 (+.f64 (.f64 (+.f64 x y) x) (.f64 (+.f64 x y) (neg.f64 y))) (+.f64 (.f64 x x) (.f64 y y)))
✓	0.0b	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
✓	41.0b	(*.f64 (/.f64 1 (+.f64 x y)) (+.f64 x y))
✓	40.4b	(/.f64 (+.f64 x y) x)
	40.9b	1
	22.1b	(+.f64 -1 (*.f64 2 (pow.f64 (/.f64 y x) -2)))
	23.0b	-1
✓	0.0b	(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
	22.3b	(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
	40.2b	(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1)
✓	38.0b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
	45.8b	(-.f64 1 (/.f64 (.f64 y y) (.f64 x x)))
✓	20.3b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
✓	20.8b	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 (.f64 y y) (*.f64 x x))))

Compiler

Compiled 210 to 118 computations (43.8% saved)

regimes50.0ms (0.5%)

Counts

17 → 1

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))

Calls

4 calls:

29.0ms	x
9.0ms	y
4.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
3.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
0.0b	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 218 to 81 computations (62.8% saved)

regimes28.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))

Calls

4 calls:

9.0ms	y
9.0ms	x
3.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
3.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
0.0b	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 203 to 79 computations (61.1% saved)

regimes152.0ms (1.6%)

Counts

15 → 8

Calls

Call 1

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

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

Calls

4 calls:

82.0ms	y
40.0ms	x
7.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
5.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Error	Segments	Branch
9.6b	2	`x`
3.4b	8	`y`
4.7b	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
4.7b	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 188 to 75 computations (60.1% saved)

bsearch205.0ms (2.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
64.0ms	8.187604510386175e-165	2.804561251087956e-162
22.0ms	3.389789285076956e-188	5.98806164400572e-187
25.0ms	-5.888060874441805e-238	-1.8753359558456655e-240
24.0ms	-5.842842104604598e-226	-4.324813936192766e-228
25.0ms	-1.7475263440271696e-192	-4.362781156655129e-193
23.0ms	-2.9812756253852493e-159	-1.2310582401991728e-161
23.0ms	-4.057051146412215e+161	-1.4899032896650365e+147

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes102.0ms (1.1%)

Counts

13 → 8

Calls

Call 1

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

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

Calls

4 calls:

75.0ms	y
14.0ms	x
6.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
4.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Error	Segments	Branch
9.6b	2	`x`
3.6b	8	`y`
4.7b	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
4.7b	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 164 to 68 computations (58.5% saved)

bsearch192.0ms (2%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
24.0ms	8.187604510386175e-165	2.804561251087956e-162
30.0ms	3.389789285076956e-188	5.98806164400572e-187
23.0ms	-5.888060874441805e-238	-1.8753359558456655e-240
30.0ms	-5.842842104604598e-226	-4.324813936192766e-228
23.0ms	-1.7475263440271696e-192	-4.362781156655129e-193
22.0ms	-2.9812756253852493e-159	-1.2310582401991728e-161
39.0ms	-4.057051146412215e+161	-1.4899032896650365e+147

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes148.0ms (1.5%)

Counts

11 → 8

Calls

Call 1

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

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

Calls

4 calls:

98.0ms	y
36.0ms	x
7.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
4.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Error	Segments	Branch
9.8b	2	`x`
3.6b	8	`y`
4.8b	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
4.8b	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 135 to 57 computations (57.8% saved)

bsearch219.0ms (2.3%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
28.0ms	8.187604510386175e-165	2.804561251087956e-162
26.0ms	3.389789285076956e-188	5.98806164400572e-187
21.0ms	-5.888060874441805e-238	-1.8753359558456655e-240
25.0ms	-5.842842104604598e-226	-4.324813936192766e-228
70.0ms	-1.7475263440271696e-192	-4.362781156655129e-193
24.0ms	-2.9812756253852493e-159	-1.2310582401991728e-161
24.0ms	-4.057051146412215e+161	-1.4899032896650365e+147

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes63.0ms (0.7%)

Counts

10 → 8

Calls

Call 1

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

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

Calls

2 calls:

48.0ms	y
12.0ms	x

Results

Error	Segments	Branch
9.8b	2	`x`
3.8b	8	`y`

Compiler

Compiled 86 to 36 computations (58.1% saved)

bsearch162.0ms (1.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
25.0ms	2.804561251087956e-162	3.480348846976982e-161
22.0ms	3.389789285076956e-188	5.98806164400572e-187
23.0ms	-5.888060874441805e-238	-1.8753359558456655e-240
22.0ms	-5.842842104604598e-226	-4.324813936192766e-228
23.0ms	-1.7475263440271696e-192	-4.362781156655129e-193
23.0ms	-2.9812756253852493e-159	-1.2310582401991728e-161
24.0ms	-710969687.8950087	-24771920.38845806

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes50.0ms (0.5%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	y
19.0ms	x

Results

Error	Segments	Branch
15.4b	2	`x`
9.8b	5	`y`

Compiler

Compiled 71 to 33 computations (53.5% saved)

bsearch88.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	2.990936524209168e-137	3.10989768000404e-133
21.0ms	2.804561251087956e-162	3.480348846976982e-161
23.0ms	3.389789285076956e-188	5.98806164400572e-187
22.0ms	-4.060741793632541e-110	-4.618787936907395e-114

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes43.0ms (0.4%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	y
17.0ms	x

Results

Error	Segments	Branch
15.4b	2	`x`
9.8b	5	`y`

Compiler

Compiled 49 to 27 computations (44.9% saved)

bsearch103.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	2.990936524209168e-137	3.10989768000404e-133
33.0ms	2.804561251087956e-162	3.480348846976982e-161
28.0ms	3.389789285076956e-188	5.98806164400572e-187
21.0ms	-4.060741793632541e-110	-4.618787936907395e-114

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes45.0ms (0.5%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	y
12.0ms	x

Results

Error	Segments	Branch
15.8b	2	`x`
10.0b	5	`y`

Compiler

Compiled 31 to 20 computations (35.5% saved)

bsearch106.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
28.0ms	2.990936524209168e-137	3.10989768000404e-133
31.0ms	2.804561251087956e-162	3.480348846976982e-161
21.0ms	3.389789285076956e-188	5.98806164400572e-187
26.0ms	-4.060741793632541e-110	-4.618787936907395e-114

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes33.0ms (0.3%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	y
10.0ms	x

Results

Error	Segments	Branch
15.8b	2	`x`
10.0b	5	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch96.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	2.990936524209168e-137	3.10989768000404e-133
24.0ms	2.804561251087956e-162	3.480348846976982e-161
24.0ms	3.389789285076956e-188	5.98806164400572e-187
24.0ms	-4.060741793632541e-110	-4.618787936907395e-114

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes27.0ms (0.3%)

Accuracy

Total -52.8b remaining (-520.2%)

Threshold costs -52.8b (-520.2%)

Counts

2 → 5

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1
1
-1

Calls

2 calls:

15.0ms	y
10.0ms	x

Results

Error	Segments	Branch
15.9b	2	`x`
10.2b	5	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch87.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	2.990936524209168e-137	3.10989768000404e-133
22.0ms	2.804561251087956e-162	3.480348846976982e-161
21.0ms	3.389789285076956e-188	5.98806164400572e-187
22.0ms	-4.060741793632541e-110	-4.618787936907395e-114

Compiler

Compiled 22 to 13 computations (40.9% saved)

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
12×	`*-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	879
1	124	875
2	143	875
3	156	875
4	165	875
5	168	875
6	169	875

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
(if (<=.f64 y -405705114641221481600583366034148645741661526086681698322162049745349431468979168138151262464705593934275334780276219305614791904490059423056765982778742108323840) -1 (if (<=.f64 y -1474720194657029/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (/.f64 (+.f64 (.f64 (+.f64 x y) x) (.f64 (+.f64 x y) (neg.f64 y))) (+.f64 (.f64 x x) (.f64 y y))) (if (<=.f64 y -8976783262811415/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (if (<=.f64 y -7792031096508313/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (fma.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)) 1) (if (<=.f64 y -4316866807021325/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (if (<=.f64 y 5313978289698747/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) (fma.f64 -2 (.f64 (/.f64 y x) (/.f64 y x)) 1) (if (<=.f64 y 8697495651248044032/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))))))))))
(if (<=.f64 y -405705114641221481600583366034148645741661526086681698322162049745349431468979168138151262464705593934275334780276219305614791904490059423056765982778742108323840) -1 (if (<=.f64 y -1474720194657029/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (/.f64 (+.f64 (.f64 (+.f64 x y) x) (.f64 (+.f64 x y) (neg.f64 y))) (+.f64 (.f64 x x) (.f64 y y))) (if (<=.f64 y -8976783262811415/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (if (<=.f64 y -7792031096508313/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) 1 (if (<=.f64 y -4316866807021325/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (if (<=.f64 y 5313978289698747/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) 1 (if (<=.f64 y 8697495651248044032/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))))))))))
(if (<=.f64 y -405705114641221481600583366034148645741661526086681698322162049745349431468979168138151262464705593934275334780276219305614791904490059423056765982778742108323840) -1 (if (<=.f64 y -1474720194657029/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (if (<=.f64 y -8976783262811415/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (if (<=.f64 y -7792031096508313/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) 1 (if (<=.f64 y -4316866807021325/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (if (<=.f64 y 5313978289698747/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) 1 (if (<=.f64 y 8697495651248044032/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y))))))))))
(if (<=.f64 y -3053591557956389376/4294967296) -1 (if (<=.f64 y -1474720194657029/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 (.f64 y y) (.f64 x x)))) (if (<=.f64 y -8976783262811415/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (if (<=.f64 y -7792031096508313/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) 1 (if (<=.f64 y -4316866807021325/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (if (<=.f64 y 5313978289698747/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) 1 (if (<=.f64 y 5682407507455971/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 (.f64 y y) (*.f64 x x)))))))))))
(if (<=.f64 y -6872006657015837/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (if (<=.f64 y 5313978289698747/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) (/.f64 (+.f64 x y) x) (if (<=.f64 y 5682407507455971/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (if (<=.f64 y 401019024472466304/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (-.f64 1 (/.f64 (.f64 y y) (.f64 x x))) (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))))))
(if (<=.f64 y -6872006657015837/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (if (<=.f64 y 5313978289698747/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) (/.f64 (+.f64 x y) x) (if (<=.f64 y 5682407507455971/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (if (<=.f64 y 401019024472466304/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (-.f64 1 (/.f64 (.f64 y y) (.f64 x x))) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1)))))
(if (<=.f64 y -6872006657015837/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) -1 (if (<=.f64 y 5313978289698747/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) (/.f64 (+.f64 x y) x) (if (<=.f64 y 5682407507455971/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) -1 (if (<=.f64 y 401019024472466304/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (-.f64 1 (/.f64 (.f64 y y) (.f64 x x))) -1))))
(if (<=.f64 y -6872006657015837/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) -1 (if (<=.f64 y 5313978289698747/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) (/.f64 (+.f64 x y) x) (if (<=.f64 y 5682407507455971/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) -1 (if (<=.f64 y 401019024472466304/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) 1 -1))))
(if (<=.f64 y -6872006657015837/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) -1 (if (<=.f64 y 5313978289698747/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) 1 (if (<=.f64 y 5682407507455971/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) -1 (if (<=.f64 y 401019024472466304/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) 1 -1))))
-1

Outputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
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(if (<=.f64 y -6872006657015837/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) -1 (if (<=.f64 y 5313978289698747/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) (/.f64 (+.f64 x y) x) (if (<=.f64 y 5682407507455971/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) -1 (if (<=.f64 y 3132961128691143/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) 1 -1))))
(if (<=.f64 y -6872006657015837/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) -1 (if (<=.f64 y 5313978289698747/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) 1 (if (<=.f64 y 5682407507455971/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) -1 (if (<=.f64 y 401019024472466304/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) 1 -1))))
(if (<=.f64 y -6872006657015837/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) -1 (if (<=.f64 y 5313978289698747/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) 1 (if (<=.f64 y 5682407507455971/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) -1 (if (<=.f64 y 3132961128691143/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) 1 -1))))
-1

end331.0ms (3.5%)

Stop Event

1×

fuel

Compiler

Compiled 1234 to 560 computations (54.6% saved)