Details

analyze76.0ms (2.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
15.6%	15.6%	84.3%	0.1%	0%	0%	0%	6
39.1%	39%	60.9%	0.1%	0%	0%	0%	7
51.6%	51.5%	48.4%	0.1%	0%	0%	0%	8
66%	66%	34%	0.1%	0%	0%	0%	9
73.8%	73.8%	26.1%	0.1%	0%	0%	0%	10
82.1%	82%	17.9%	0.1%	0%	0%	0%	11
86.4%	86.3%	13.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample883.0ms (28%)

Results

868.0ms

8256×

body

256

valid

Bogosity

preprocess134.0ms (4.3%)

Algorithm

2×	egg-herbie

Rules

1022×	`fma-neg_binary64`
488×	`div-sub_binary64`
482×	`times-frac_binary64`
312×	`associate-/l*_binary64`
290×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	22	20
2	34	20
3	54	20
4	104	20
5	184	20
6	311	20
7	676	20
8	1937	20
9	4266	20
10	5121	20
11	5198	20
12	5276	20
13	5306	20
14	5330	20
15	5360	20
16	5386	20
17	5560	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify109.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
511×	`fma-neg_binary64`
363×	`times-frac_binary64`
329×	`div-sub_binary64`
148×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	12	10
2	19	10
3	30	10
4	57	10
5	93	10
6	154	10
7	244	10
8	442	10
9	1007	10
10	2441	10
11	3238	10
12	3991	10
13	4038	10
14	4060	10
15	4080	10
16	4080	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series5.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`pow1_binary64`
898×	`add-log-exp_binary64`
898×	`log1p-expm1-u_binary64`
898×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	143	10
2	2300	10

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

Outputs

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

simplify55.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

546×	`times-frac_binary64`
477×	`fma-def_binary64`
360×	`div-sub_binary64`
325×	`sub-neg_binary64`
320×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	507
1	256	444
2	902	354
3	4610	354

Stop Event

1×	node limit

Counts

60 → 59

Calls

Call 1

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

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

eval15.0ms (0.5%)

Compiler: Compiled 879 to 400 computations (54.5% saved)

prune11.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	7	60

Error

Counts

60 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
	36.5b	1
▶	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))
	28.2b	-1
▶	35.7b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
▶	33.6b	(.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 65 to 39 computations (40% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 10 computations (60% saved)

series5.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary64`
905×	`add-log-exp_binary64`
905×	`log1p-expm1-u_binary64`
905×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	174	17
2	2440	17

Stop Event

1×	node limit

Counts

2 → 62

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

Outputs

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

simplify66.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

676×	`times-frac_binary64`
585×	`fma-def_binary64`
427×	`div-sub_binary64`
402×	`sub-neg_binary64`
400×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1023
1	316	918
2	1114	792
3	5623	792

Stop Event

1×	node limit

Counts

110 → 99

Calls

Call 1

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

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
✓	4.7b	(-.f64 (.f64 x x) (.f64 y y))
✓	31.9b	(/.f64 (-.f64 x y) (-.f64 (.f64 x x) (.f64 y y)))

Compiler

Compiled 46 to 8 computations (82.6% saved)

series10.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite101.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
559×	`fma-def_binary64`
286×	`pow2_binary64`
241×	`fma-neg_binary64`
208×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	48
1	216	27
2	3517	27

Stop Event

1×	node limit

Counts

3 → 282

Calls

Call 1

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

Outputs

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

simplify157.0ms (5%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-neg_binary64`
456×	`associate-/l/_binary64`
353×	`div-sub_binary64`
316×	`fma-def_binary64`
292×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	1221
1	222	1131
2	721	1011
3	2968	984
4	7486	984

Stop Event

1×	node limit

Counts

354 → 320

Calls

Call 1

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

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

localize109.0ms (3.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series6.0ms (0.2%)

Counts

1 → 0

Calls

6 calls:

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

rewrite52.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
594×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 6 computations (78.6% saved)

series8.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite110.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`log-prod_binary64`
498×	`fma-def_binary64`
387×	`pow-prod-down_binary64`
259×	`pow2_binary64`
256×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	175	24
2	3085	24

Stop Event

1×	node limit

Counts

3 → 313

Calls

Call 1

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

Outputs

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

simplify84.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

544×	`fma-def_binary64`
499×	`sub-neg_binary64`
409×	`times-frac_binary64`
379×	`distribute-rgt-neg-in_binary64`
295×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1451
1	344	1343
2	1066	1140
3	5085	1098

Stop Event

1×	node limit

Counts

385 → 365

Calls

Call 1

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

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

eval288.0ms (9.1%)

Compiler: Compiled 16535 to 5037 computations (69.5% saved)

prune216.0ms (6.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	802	2	804
Fresh	2	0	2
Picked	0	1	1
Done	0	4	4
Total	804	7	811

Error

Counts

811 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
	28.2b	-1
✓	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))
	36.5b	1
✓	35.7b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
✓	33.6b	(.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 65 to 39 computations (40% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune40.0ms (1.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
	28.2b	-1
✓	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))
	36.5b	1
✓	35.7b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
✓	33.6b	(.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 65 to 39 computations (40% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
	28.2b	-1
✓	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))
	36.5b	1
✓	35.7b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
✓	33.6b	(.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 65 to 39 computations (40% saved)

regimes17.0ms (0.6%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
6.0ms	x
2.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

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

Compiler

Compiled 70 to 34 computations (51.4% saved)

regimes63.0ms (2%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	y
20.0ms	x

Results

Error	Segments	Branch
14.0b	5	`x`
12.4b	5	`y`

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch68.0ms (2.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	4.313514240252315e-64	1.1427174879054766e-53
17.0ms	-8.705376098292526e-109	-9.031624744228191e-111
17.0ms	-7.502392043143592e-72	-3.6935744962812835e-75
17.0ms	-2.627992702623847e+43	-2.362630603416579e+28

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes88.0ms (2.8%)

Accuracy

Total -50.4b remaining (-398.7%)

Threshold costs -50.4b (-398.7%)

Counts

4 → 5

Calls

Call 1

Inputs
-1
1
1
-1

Outputs
-1
1
-1
1
-1

Calls

2 calls:

62.0ms	y
24.0ms	x

Results

Error	Segments	Branch
14.4b	5	`x`
12.6b	5	`y`

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch72.0ms (2.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	4.313514240252315e-64	1.1427174879054766e-53
20.0ms	-4.164155904803357e-115	-9.163189017981832e-122
17.0ms	-7.502392043143592e-72	-3.6935744962812835e-75
17.0ms	-2.627992702623847e+43	-2.362630603416579e+28

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	87
1	38	87
2	41	87
3	43	87
4	44	87

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 y -26279927026238471233521905185539981397983232) -1 (if (<=.f64 y -3731113891711203/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 1 (.f64 -2 (/.f64 y x))) (if (<=.f64 y -71934260379253/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) -1 (if (<=.f64 y 6393226570671747/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (+.f64 1 (.f64 -2 (/.f64 y x))) -1))))
(if (<=.f64 y -26279927026238471233521905185539981397983232) -1 (if (<=.f64 y -3731113891711203/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) 1 (if (<=.f64 y -1154582887884251/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) -1 (if (<=.f64 y 6393226570671747/14821387422376473014217086081112052205218558037201992197050570753012880593911808) 1 -1))))
-1

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 y -26279927026238471233521905185539981397983232) -1 (if (<=.f64 y -3731113891711203/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 1 (.f64 -2 (/.f64 y x))) (if (<=.f64 y -71934260379253/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) -1 (if (<=.f64 y 6393226570671747/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (+.f64 1 (.f64 -2 (/.f64 y x))) -1))))
(if (<=.f64 y -26279927026238471233521905185539981397983232) -1 (if (<=.f64 y -3731113891711203/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) 1 (if (<=.f64 y -1154582887884251/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) -1 (if (<=.f64 y 6393226570671747/14821387422376473014217086081112052205218558037201992197050570753012880593911808) 1 -1))))
-1

Compiler

Compiled 70 to 53 computations (24.3% saved)

soundness0.0ms (0%)

end77.0ms (2.4%)

Compiler: Compiled 64 to 47 computations (26.6% saved)

Details

analyze76.0ms (2.4%)

sample883.0ms (28%)

preprocess134.0ms (4.3%)

simplify109.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series5.0ms (0.2%)

rewrite62.0ms (2%)

simplify55.0ms (1.7%)

eval15.0ms (0.5%)

prune11.0ms (0.3%)

localize9.0ms (0.3%)

series5.0ms (0.2%)

rewrite68.0ms (2.1%)

simplify66.0ms (2.1%)

localize14.0ms (0.4%)

series10.0ms (0.3%)

rewrite101.0ms (3.2%)

simplify157.0ms (5%)

localize109.0ms (3.5%)

series6.0ms (0.2%)

rewrite52.0ms (1.7%)

simplify48.0ms (1.5%)

localize9.0ms (0.3%)

series8.0ms (0.3%)

rewrite110.0ms (3.5%)

simplify84.0ms (2.7%)

eval288.0ms (9.1%)

prune216.0ms (6.9%)

eval0.0ms (0%)

prune40.0ms (1.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes17.0ms (0.6%)

regimes63.0ms (2%)

bsearch68.0ms (2.2%)

regimes88.0ms (2.8%)

bsearch72.0ms (2.3%)

simplify8.0ms (0.3%)

soundness0.0ms (0%)

end77.0ms (2.4%)

Profiling