Details

analyze46.0ms (3.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
64.5%	62.4%	34.3%	0.1%	3.1%	0%	0%	8
75.4%	71.8%	23.4%	0.1%	4.7%	0%	0%	9
80.7%	74.9%	18%	0.1%	7%	0%	0%	10
86.8%	79.6%	12.1%	0.1%	8.2%	0%	0%	11
89.8%	81.2%	9.2%	0.1%	9.6%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample809.0ms (55.8%)

Results

770.0ms	8256×	body	256	valid
21.0ms	264×	body	256	infinite

Bogosity

preprocess120.0ms (8.2%)

Algorithm

2×	egg-herbie

Rules

1422×	`rational_best_oopsla_all_46_json_45_simplify-49`
1288×	`rational_best_oopsla_all_46_json_45_simplify-72`
1106×	`rational_best_oopsla_all_46_json_45_simplify-10`
1050×	`rational_best_oopsla_all_46_json_45_simplify-30`
920×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	18	26
2	55	26
3	188	26
4	796	26
5	3100	26
6	7047	26
0	2	2
1	2	2

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify157.0ms (10.8%)

Algorithm

1×	egg-herbie

Rules

1878×	`rational_best_oopsla_all_46_json_45_simplify-10`
1096×	`rational_best_oopsla_all_46_json_45_simplify-49`
1046×	`rational_best_oopsla_all_46_json_45_simplify-7`
966×	`rational_best_oopsla_all_46_json_45_simplify-72`
708×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	12	13
2	35	13
3	118	13
4	472	13
5	2505	13
6	5315	13
7	7964	13

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% 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) 2)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`rational_best_oopsla_all_46_json-2`
1342×	`rational_best_oopsla_all_46_json-1`
1342×	`rational_best_oopsla_all_46_json-4`
1342×	`rational_best_oopsla_all_46_json-3`
1096×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	42	13
2	128	13
3	534	13
4	2680	13

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x y) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x y) 2) (*.f64 0 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2))) (/.f64 (*.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x y) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) 2) (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) 2) (*.f64 (/.f64 (*.f64 x y) 2) (/.f64 1 (/.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) 2) (*.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) 2) (*.f64 1 (*.f64 (/.f64 (*.f64 x y) 2) (/.f64 1 (/.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) 2) (*.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (*.f64 (/.f64 (*.f64 x y) 2) (/.f64 1 (/.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) 2) (*.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (*.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) 2) (*.f64 (/.f64 (*.f64 x y) 2) (/.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (/.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) 2) (*.f64 (*.f64 (/.f64 (*.f64 x y) 2) (/.f64 1 (/.f64 (*.f64 x y) 2))) (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) 2) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2))) (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) 2) (*.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 (/.f64 (*.f64 x y) 2) (/.f64 1 (/.f64 (*.f64 x y) 2))) (/.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) 2) (*.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2))) (/.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (/.f64 (*.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (*.f64 (/.f64 (*.f64 x y) 2) (/.f64 1 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (*.f64 (/.f64 (*.f64 x y) 2) (/.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (*.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2))) (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 1 (neg.f64 (/.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (neg.f64 (/.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 x y) 2) (/.f64 1 (/.f64 (*.f64 x y) 2))) (/.f64 (*.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 x y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 x y) 2)) (neg.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2)) (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2))) (/.f64 (*.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x y) 2) (/.f64 (*.f64 x y) 2))) (neg.f64 (/.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (*.f64 x y) 2)))))))

simplify58.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1624×	`rational_best_oopsla_all_46_json_45_simplify-37`
1454×	`rational_best_oopsla_all_46_json_45_simplify-89`
1288×	`rational_best_oopsla_all_46_json_45_simplify-74`
1124×	`rational_best_oopsla_all_46_json_45_simplify-13`
960×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	728
1	269	728
2	1951	728

Stop Event

1×	node limit

Counts

56 → 35

Calls

Call 1

Inputs
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(+.f64 (/.f64 (*.f64 x y) 2) 0)
(+.f64 (/.f64 (.f64 x y) 2) (.f64 0 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))))
(+.f64 0 (/.f64 (*.f64 x y) 2))
(+.f64 (.f64 0 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))) (/.f64 (.f64 x y) 2))
(-.f64 (/.f64 (*.f64 x y) 2) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 x y) 2)))
(.f64 (/.f64 (.f64 x y) 2) 1)
(.f64 (/.f64 (.f64 x y) 2) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)))
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (*.f64 x y) 2))))
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (*.f64 x y) 2))))
(.f64 (/.f64 (.f64 x y) 2) (.f64 1 (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (.f64 x y) 2)))))
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (.f64 x y) 2)))))
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)))))
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (.f64 x y) 2) (/.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (*.f64 x y) 2))))
(.f64 (/.f64 (.f64 x y) 2) (.f64 (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (.f64 x y) 2))) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))))
(.f64 (/.f64 (.f64 x y) 2) (.f64 (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))))
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (.f64 x y) 2))) (/.f64 (.f64 x y) 2))))
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))) (/.f64 (.f64 x y) 2))))
(.f64 1 (/.f64 (.f64 x y) 2))
(.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (.f64 x y) 2))
(.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (*.f64 x y) 2)))))
(.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (.f64 (/.f64 (.f64 x y) 2) (/.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (*.f64 x y) 2)))))
(.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)))))
(.f64 -1 (neg.f64 (/.f64 (.f64 x y) 2)))
(.f64 -1 (.f64 1 (neg.f64 (/.f64 (*.f64 x y) 2))))
(.f64 -1 (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (neg.f64 (/.f64 (*.f64 x y) 2))))
(.f64 (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (.f64 x y) 2))) (/.f64 (*.f64 x y) 2))
(.f64 (neg.f64 (/.f64 (.f64 x y) 2)) -1)
(.f64 (neg.f64 (/.f64 (.f64 x y) 2)) (neg.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))))
(.f64 (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))) (/.f64 (*.f64 x y) 2))
(.f64 (neg.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))) (neg.f64 (/.f64 (.f64 x y) 2)))
(neg.f64 (neg.f64 (/.f64 (*.f64 x y) 2)))

Outputs
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(+.f64 (/.f64 (*.f64 x y) 2) 0)
(/.f64 (*.f64 y x) 2)
(+.f64 (/.f64 (.f64 x y) 2) (.f64 0 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))))
(/.f64 (*.f64 y x) 2)
(+.f64 0 (/.f64 (*.f64 x y) 2))
(/.f64 (*.f64 y x) 2)
(+.f64 (.f64 0 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))) (/.f64 (.f64 x y) 2))
(/.f64 (*.f64 y x) 2)
(-.f64 (/.f64 (*.f64 x y) 2) 0)
(/.f64 (*.f64 y x) 2)
(-.f64 0 (neg.f64 (/.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (.f64 x y) 2) 1)
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (.f64 x y) 2) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (*.f64 x y) 2))))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (*.f64 x y) 2))))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (.f64 x y) 2) (.f64 1 (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (.f64 x y) 2)))))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (.f64 x y) 2)))))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)))))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (.f64 x y) 2) (/.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (*.f64 x y) 2))))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (.f64 x y) 2) (.f64 (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (.f64 x y) 2))) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (.f64 x y) 2) (.f64 (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (.f64 x y) 2))) (/.f64 (.f64 x y) 2))))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (.f64 x y) 2) (.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))) (/.f64 (.f64 x y) 2))))
(/.f64 (*.f64 y x) 2)
(.f64 1 (/.f64 (.f64 x y) 2))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (.f64 x y) 2))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (*.f64 x y) 2)))))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (.f64 (/.f64 (.f64 x y) 2) (/.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (*.f64 x y) 2)))))
(/.f64 (*.f64 y x) 2)
(.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)))))
(/.f64 (*.f64 y x) 2)
(.f64 -1 (neg.f64 (/.f64 (.f64 x y) 2)))
(/.f64 (*.f64 y x) 2)
(.f64 -1 (.f64 1 (neg.f64 (/.f64 (*.f64 x y) 2))))
(/.f64 (*.f64 y x) 2)
(.f64 -1 (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (neg.f64 (/.f64 (*.f64 x y) 2))))
(/.f64 (*.f64 y x) 2)
(.f64 (.f64 (/.f64 (.f64 x y) 2) (/.f64 1 (/.f64 (.f64 x y) 2))) (/.f64 (*.f64 x y) 2))
(/.f64 (*.f64 y x) 2)
(.f64 (neg.f64 (/.f64 (.f64 x y) 2)) -1)
(/.f64 (*.f64 y x) 2)
(.f64 (neg.f64 (/.f64 (.f64 x y) 2)) (neg.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))))
(/.f64 (*.f64 y x) 2)
(.f64 (.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2)) (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))) (/.f64 (*.f64 x y) 2))
(/.f64 (*.f64 y x) 2)
(.f64 (neg.f64 (/.f64 (/.f64 (.f64 x y) 2) (/.f64 (.f64 x y) 2))) (neg.f64 (/.f64 (.f64 x y) 2)))
(/.f64 (*.f64 y x) 2)
(neg.f64 (neg.f64 (/.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 y x) 2)

eval10.0ms (0.7%)

Compiler: Compiled 710 to 368 computations (48.2% saved)

prune5.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	1	36

Error

Counts

36 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(.f64 y (.f64 1/2 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.4%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(.f64 y (.f64 1/2 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.8%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0.0b (-∞%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
3.0ms	y
3.0ms	(/.f64 (*.f64 x y) 2)
3.0ms	(*.f64 x y)

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(/.f64 (*.f64 x y) 2)`
0b	1	`(*.f64 x y)`

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness142.0ms (9.8%)

Algorithm

1×	egg-herbie

Rules

1624×	`rational_best_oopsla_all_46_json_45_simplify-37`
1454×	`rational_best_oopsla_all_46_json_45_simplify-89`
1288×	`rational_best_oopsla_all_46_json_45_simplify-74`
1124×	`rational_best_oopsla_all_46_json_45_simplify-13`
960×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	728
1	269	728
2	1951	728

Stop Event

1×	node limit

Compiler

Compiled 12 to 8 computations (33.3% saved)

end12.0ms (0.8%)

Remove: (sort x y)
Compiler: Compiled 21 to 15 computations (28.6% saved)

Details

analyze46.0ms (3.2%)

sample809.0ms (55.8%)

preprocess120.0ms (8.2%)

simplify157.0ms (10.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite64.0ms (4.4%)

simplify58.0ms (4%)

eval10.0ms (0.7%)

prune5.0ms (0.3%)

localize6.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes12.0ms (0.8%)

simplify1.0ms (0.1%)

soundness142.0ms (9.8%)

end12.0ms (0.8%)

Profiling