Details

analyze62.0ms (1.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.2%	0.1%	6
46.8%	53.1%	0.1%	7
56.2%	43.7%	0.1%	8
71%	28.9%	0.1%	9
76.5%	23.4%	0.1%	10
84.9%	15%	0.1%	11
87.8%	12.1%	0.1%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample1.4s (30.7%)

Results

1.4s

8256×

body

256

valid

preprocess117.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

660×	`fma-neg_binary64`
448×	`div-sub_binary64`
424×	`times-frac_binary64`
346×	`fma-def_binary64`
243×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	14	20
2	22	20
3	34	20
4	56	20
5	116	20
6	162	20
7	288	20
8	701	20
9	2487	20
10	3728	20
11	4182	20
12	4392	20
13	4500	20
14	4554	20
15	4554	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 x y) (-.f64 y x))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify174.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

516×	`fma-neg_binary64`
439×	`fma-def_binary64`
369×	`times-frac_binary64`
361×	`div-sub_binary64`
148×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	9	10
2	14	10
3	21	10
4	31	10
5	54	10
6	91	10
7	135	10
8	216	10
9	445	10
10	1154	10
11	1880	10
12	2771	10
13	3218	10
14	3374	10
15	3396	10
16	3416	10
17	3416	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 (0.1%)

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)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite72.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`pow1_binary64`
828×	`add-log-exp_binary64`
828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
811×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	140	10
2	2163	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

649×	`times-frac_binary64`
514×	`fma-def_binary64`
499×	`div-sub_binary64`
462×	`distribute-frac-neg_binary64`
331×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	498
1	259	441
2	945	312
3	4850	312

Stop Event

1×	node limit

Counts

57 → 56

Calls

Call 1

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

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

eval12.0ms (0.3%)

Compiler: Compiled 831 to 382 computations (54% saved)

prune10.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	7	57

Error

Counts

57 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
▶	29.3b	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
	34.7b	1
✓	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
	30.0b	-1
▶	0.0b	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
▶	34.0b	(+.f64 1 (*.f64 2 (/.f64 y x)))

Compiler

Compiled 55 to 39 computations (29.1% saved)

localize9.0ms (0.2%)

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)

series130.0ms (2.8%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
125.0ms	y	@	0	(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
1.0ms	x	@	inf	(/.f64 1 (-.f64 x y))
1.0ms	x	@	0	(/.f64 1 (-.f64 x y))
0.0ms	x	@	0	(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
0.0ms	x	@	-inf	(/.f64 1 (-.f64 x y))

rewrite133.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`prod-diff_binary64`
443×	`log-prod_binary64`
343×	`pow-prod-down_binary64`
276×	`fma-def_binary64`
235×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	180	17
2	2660	17

Stop Event

1×	node limit

Counts

2 → 113

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

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

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

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

812×	`times-frac_binary64`
631×	`div-sub_binary64`
618×	`fma-def_binary64`
417×	`associate-/l*_binary64`
414×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	999
1	325	927
2	1172	750
3	6002	750

Stop Event

1×	node limit

Counts

161 → 150

Calls

Call 1

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

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

localize46.0ms (1%)

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)

series4.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite64.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1608	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))))))))

simplify8.0ms (0.2%)

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series6.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite51.0ms (1.1%)

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 x y))

Outputs

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

simplify36.0ms (0.8%)

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 (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite378.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`prod-diff_binary64`
471×	`log-prod_binary64`
293×	`pow-prod-down_binary64`
250×	`pow2_binary64`
250×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	185	20
2	2754	20

Stop Event

1×	node limit

Counts

2 → 277

Calls

Call 1

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

Outputs

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

simplify231.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

764×	`associate-/l*_binary64`
741×	`associate-/r*_binary64`
320×	`associate-l_binary64`
290×	`fma-neg_binary64`
256×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	1486
1	622	1090
2	2597	728

Stop Event

1×	node limit

Counts

325 → 328

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

eval280.0ms (6%)

Compiler: Compiled 15641 to 5294 computations (66.2% saved)

prune119.0ms (2.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	516	2	518
Fresh	1	1	2
Picked	1	0	1
Done	0	4	4
Total	518	7	525

Error

Counts

525 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
✓	29.3b	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
▶	0.0b	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
	34.7b	1
✓	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
	30.0b	-1
✓	34.0b	(+.f64 1 (*.f64 2 (/.f64 y x)))

Compiler

Compiled 55 to 39 computations (29.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite101.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`prod-diff_binary64`
483×	`log-prod_binary64`
306×	`pow-prod-down_binary64`
253×	`fma-def_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	184	10
2	2798	10

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs

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

simplify190.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

649×	`times-frac_binary64`
514×	`fma-def_binary64`
499×	`div-sub_binary64`
462×	`distribute-frac-neg_binary64`
331×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	498
1	259	441
2	945	312
3	4850	312

Stop Event

1×	node limit

Counts

82 → 81

Calls

Call 1

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

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

eval200.0ms (4.3%)

Compiler: Compiled 12619 to 3874 computations (69.3% saved)

prune191.0ms (4.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	335	0	335
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	335	7	342

Error

Counts

342 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
✓	29.3b	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓	0.0b	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
	34.7b	1
✓	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
	30.0b	-1
✓	34.0b	(+.f64 1 (*.f64 2 (/.f64 y x)))

Compiler

Compiled 55 to 39 computations (29.1% saved)

eval0.0ms (0%)

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

prune38.0ms (0.8%)

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
✓	0.1b	(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
✓	29.3b	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓	0.0b	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
	34.7b	1
✓	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
	30.0b	-1
✓	34.0b	(+.f64 1 (*.f64 2 (/.f64 y x)))

Compiler

Compiled 55 to 39 computations (29.1% saved)

regimes17.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
6.0ms	y
3.0ms	(/.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 68 to 35 computations (48.5% saved)

regimes80.0ms (1.7%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

64.0ms	x
14.0ms	y

Results

Error	Segments	Branch
16.1b	3	`x`
13.7b	3	`y`

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch36.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	7.4621333875191525e-31	6.904716440239141e-14
17.0ms	-1.845473182444802e-10	-1.4854196536059134e-18

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes31.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
14.0ms	y

Results

Error	Segments	Branch
16.5b	3	`x`
13.9b	3	`y`

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch42.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	7.4621333875191525e-31	6.904716440239141e-14
18.0ms	-1.845473182444802e-10	-1.4854196536059134e-18

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes26.0ms (0.6%)

Accuracy

Total -48.6b remaining (-338.6%)

Threshold costs -48.6b (-338.6%)

Counts

3 → 3

Calls

Call 1

Inputs
-1
1
-1

Outputs
-1
1
-1

Calls

2 calls:

14.0ms	x
12.0ms	y

Results

Error	Segments	Branch
16.8b	3	`x`
14.4b	3	`y`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch69.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	7.4621333875191525e-31	6.904716440239141e-14
52.0ms	-1.845473182444802e-10	-1.4854196536059134e-18

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	101
1	37	101
2	41	101
3	43	101
4	44	101

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 y -7139328574924481/38685626227668133590597632) (-.f64 (.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y 8520250128000655/11417981541647679048466287755595961091061972992) (+.f64 1 (.f64 2 (/.f64 y x))) (-.f64 (*.f64 -2 (/.f64 x y)) 1)))
(if (<=.f64 y -7139328574924481/38685626227668133590597632) (-.f64 (.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y 8520250128000655/11417981541647679048466287755595961091061972992) 1 (-.f64 (.f64 -2 (/.f64 x y)) 1)))
(if (<=.f64 y -7139328574924481/38685626227668133590597632) -1 (if (<=.f64 y 8520250128000655/11417981541647679048466287755595961091061972992) 1 -1))
-1

Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 y -7139328574924481/38685626227668133590597632) (-.f64 (.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y 8520250128000655/11417981541647679048466287755595961091061972992) (+.f64 1 (.f64 2 (/.f64 y x))) (-.f64 (*.f64 -2 (/.f64 x y)) 1)))
(if (<=.f64 y -7139328574924481/38685626227668133590597632) (+.f64 (.f64 -2 (/.f64 x y)) -1) (if (<=.f64 y 8520250128000655/11417981541647679048466287755595961091061972992) (+.f64 1 (.f64 2 (/.f64 y x))) (+.f64 (*.f64 -2 (/.f64 x y)) -1)))
(if (<=.f64 y -7139328574924481/38685626227668133590597632) (-.f64 (.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y 8520250128000655/11417981541647679048466287755595961091061972992) 1 (-.f64 (.f64 -2 (/.f64 x y)) 1)))
(if (<=.f64 y -7139328574924481/38685626227668133590597632) (+.f64 (.f64 -2 (/.f64 x y)) -1) (if (<=.f64 y 8520250128000655/11417981541647679048466287755595961091061972992) 1 (+.f64 (.f64 -2 (/.f64 x y)) -1)))
(if (<=.f64 y -7139328574924481/38685626227668133590597632) -1 (if (<=.f64 y 8520250128000655/11417981541647679048466287755595961091061972992) 1 -1))
-1

Compiler

Compiled 81 to 59 computations (27.2% saved)

soundness0.0ms (0%)

end96.0ms (2.1%)

Compiler: Compiled 73 to 50 computations (31.5% saved)

Details

analyze62.0ms (1.3%)

sample1.4s (30.7%)

preprocess117.0ms (2.5%)

simplify174.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite72.0ms (1.5%)

simplify54.0ms (1.2%)

eval12.0ms (0.3%)

prune10.0ms (0.2%)

localize9.0ms (0.2%)

series130.0ms (2.8%)

rewrite133.0ms (2.9%)

simplify69.0ms (1.5%)

localize46.0ms (1%)

series4.0ms (0.1%)

rewrite64.0ms (1.4%)

simplify8.0ms (0.2%)

localize7.0ms (0.2%)

series6.0ms (0.1%)

rewrite51.0ms (1.1%)

simplify36.0ms (0.8%)

localize9.0ms (0.2%)

series8.0ms (0.2%)

rewrite378.0ms (8.1%)

simplify231.0ms (4.9%)

eval280.0ms (6%)

prune119.0ms (2.5%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite101.0ms (2.2%)

simplify190.0ms (4.1%)

eval200.0ms (4.3%)

prune191.0ms (4.1%)

eval0.0ms (0%)

prune38.0ms (0.8%)

regimes17.0ms (0.4%)

regimes80.0ms (1.7%)

bsearch36.0ms (0.8%)

regimes31.0ms (0.7%)

bsearch42.0ms (0.9%)

regimes26.0ms (0.6%)

bsearch69.0ms (1.5%)

simplify8.0ms (0.2%)

soundness0.0ms (0%)

end96.0ms (2.1%)

Profiling