Details

analyze413.0ms (3.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
25%	25%	74.9%	0.1%	0%	0%	0%	9
28.1%	25%	64%	0.1%	10.9%	0%	0%	10
36.4%	31.2%	54.6%	0.1%	14%	0%	0%	11
46.9%	39%	44.1%	0.1%	16.8%	0%	0%	12

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample4.0s (32.6%)

Results

1.1s	5486×	body	256	valid
1.0s	1664×	body	1024	infinite
972.0ms	1859×	body	1024	valid
357.0ms	1536×	body	256	infinite
285.0ms	830×	body	512	infinite
284.0ms	909×	body	512	valid
2.0ms	2×	body	2048	valid

Bogosity

preprocess111.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1536×	`rational_best_oopsla_all_46_json_45_simplify-10`
1464×	`rational_best_oopsla_all_46_json_45_simplify-89`
1374×	`rational_best_oopsla_all_46_json_45_simplify-72`
1178×	`rational_best_oopsla_all_46_json_45_simplify-74`
900×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	236
1	83	156
2	323	156
3	1294	156
4	4610	156
5	7340	156
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 th th)))

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 th (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) th)) (.f64 a2 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (+.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 th th)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 th th)))
(+.f64 (.f64 a1 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) a1)) (.f64 (.f64 th th) (/.f64 (cos.f64 a2) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 th th)))

Symmetry

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify133.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1812×	`rational_best_oopsla_all_46_json_45_simplify-10`
1540×	`rational_best_oopsla_all_46_json_45_simplify-30`
936×	`rational_best_oopsla_all_46_json_45_simplify-49`
870×	`rational_best_oopsla_all_46_json_45_simplify-7`
696×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	39	39
2	134	39
3	515	39
4	2364	39
5	4781	39
6	6845	39

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

eval1.0ms (0%)

Compiler: Compiled 35 to 20 computations (42.9% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
▶	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series9.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	a1	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	th	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	a2	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1192×	`rational_best_oopsla_all_46_json_45_simplify-80`
874×	`rational_best_oopsla_all_46_json_45_simplify-35`
662×	`rational_best_oopsla_all_46_json_45_simplify-89`
588×	`rational_best_oopsla_all_46_json_45_simplify-23`
568×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	91	54
2	308	54
3	1283	54
4	5451	54

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 0 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 0 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))))) (#(struct:change #<rule 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(2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))

simplify168.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

988×	`rational_best_oopsla_all_46_json_45_simplify-49`
960×	`rational_best_oopsla_all_46_json_45_simplify-10`
926×	`rational_best_oopsla_all_46_json_45_simplify-30`
822×	`rational_best_oopsla_all_46_json_45_simplify-72`
692×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	5503
1	661	5475
2	2954	5443
3	6681	5443

Stop Event

1×	node limit

Counts

111 → 113

Calls

Call 1

Inputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)
(-.f64 0 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) -1)
(*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 -1 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(neg.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 0)
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 0 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 0 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(+.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
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(+.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(+.f64 (.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 a1 a1)))
(+.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(+.f64 (.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(+.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(+.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))
(+.f64 (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 0)
(-.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(-.f64 0 (.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(-.f64 0 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(-.f64 0 (.f64 -1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(-.f64 0 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 (neg.f64 a2))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(neg.f64 (.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(neg.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(neg.f64 (.f64 -1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(neg.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (sqrt.f64 2))))

Outputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (/.f64 1 (sqrt.f64 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))
(+.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (+.f64 (/.f64 1 (sqrt.f64 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))))))
(+.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
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(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2)))))
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(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2)))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2)))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
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(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
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(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
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(.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 0)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(-.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(-.f64 0 (.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(-.f64 0 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(-.f64 0 (.f64 -1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(-.f64 0 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 (neg.f64 a2))))
(-.f64 (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 (neg.f64 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 a1) (*.f64 a2 (neg.f64 a2))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (.f64 a1 (neg.f64 a1)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(neg.f64 (.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(neg.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(neg.f64 (.f64 -1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(neg.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
✓	0.2b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 59 to 29 computations (50.8% saved)

series10.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
1.0ms	a1	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
1.0ms	th	@	inf	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
1.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
1.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))

rewrite142.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`rational_best_oopsla_all_46_json_45_simplify-23`
910×	`rational_best_oopsla_all_46_json_45_simplify-89`
736×	`rational_best_oopsla_all_46_json_45_simplify-13`
722×	`rational_best_oopsla_all_46_json-2`
722×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	113
1	101	93
2	363	93
3	1646	93
4	7379	93

Stop Event

1×	node limit

Counts

3 → 223

Calls

Call 1

Inputs
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Inputs

(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))

(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))

(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 a1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (neg.f64 (.f64 (.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 a1)) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (neg.f64 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 -1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (neg.f64 (.f64 (.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) a1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (.f64 (/.f64 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(cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))))

simplify202.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1614×	`rational_best_oopsla_all_46_json_45_simplify-89`
1282×	`rational_best_oopsla_all_46_json_45_simplify-24`
1266×	`rational_best_oopsla_all_46_json_45_simplify-74`
876×	`rational_best_oopsla_all_46_json_45_simplify-10`
870×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	499	13009
1	1854	12777
2	6479	12777

Stop Event

1×	node limit

Counts

307 → 289

Calls

Call 1

Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 4)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (.f64 (+.f64 (.f64 -1/720 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 6)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 4)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
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(.f64 (+.f64 (.f64 a1 a1) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (*.f64 a2 a2) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (+.f64 (.f64 (.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (+.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (+.f64 (.f64 a2 a2) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (*.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (+.f64 (.f64 (.f64 a2 a2) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (.f64 a2 a2) (.f64 (*.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) -1)
(.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(.f64 (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (neg.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (+.f64 (.f64 a2 a2) (.f64 (*.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(neg.f64 (.f64 -1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))

Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2)))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 th 2) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) -1/2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 th 2) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 (pow.f64 th 2) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 1/24 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (pow.f64 th 4)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
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(.f64 (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (neg.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (+.f64 (.f64 a2 a2) (.f64 (*.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(neg.f64 (.f64 -1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

eval222.0ms (1.8%)

Compiler: Compiled 16740 to 9263 computations (44.7% saved)

prune86.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	461	9	470
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	462	10	472

Error

0.3b

Counts

472 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.5b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
	29.5b	(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
▶	0.7b	(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
▶	0.5b	(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))
	14.9b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
	0.8b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
▶	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
✓	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	26.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	6.6b	(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))

Compiler

Compiled 406 to 277 computations (31.8% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)))
	0.2b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	0.3b	(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 68 to 35 computations (48.5% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	th	@	inf	(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)))
1.0ms	th	@	-inf	(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))
1.0ms	th	@	inf	(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))
1.0ms	a1	@	0	(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))
1.0ms	th	@	0	(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`rational_best_oopsla_all_46_json_45_simplify-80`
806×	`rational_best_oopsla_all_46_json_45_simplify-35`
626×	`rational_best_oopsla_all_46_json_45_simplify-89`
622×	`rational_best_oopsla_all_46_json_45_simplify-23`
530×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	78	56
2	268	56
3	1265	56
4	5100	56

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))
(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)))

Outputs

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(sqrt.f64 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) (+.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) (+.f64 (*.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (neg.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) (+.f64 (*.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 a1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) (+.f64 (*.f64 0 (*.f64 (/.f64 a1 a1) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 a1 a1) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (neg.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) (-.f64 0 (*.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 a1 a1) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))) (*.f64 (*.f64 (/.f64 a1 a1) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) (/.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) (/.f64 (*.f64 (/.f64 (cos.f64 th) 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a1)))))))

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(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 a1 (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))))))

simplify133.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1514×	`rational_best_oopsla_all_46_json_45_simplify-13`
1066×	`rational_best_oopsla_all_46_json_45_simplify-10`
1056×	`rational_best_oopsla_all_46_json_45_simplify-30`
722×	`rational_best_oopsla_all_46_json_45_simplify-23`
596×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	196	5230
1	602	5014
2	2249	5014
3	5535	5014

Stop Event

1×	node limit

Counts

126 → 125

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 a1 (sqrt.f64 2)))
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(+.f64 (.f64 1/720 (/.f64 (.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 -1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (.f64 -1 (/.f64 a1 (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))))))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
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(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
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(+.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)))
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(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
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(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) (/.f64 (.f64 (/.f64 a1 a1) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))) (.f64 (/.f64 a1 a1) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 a1))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) (/.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a1 (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (neg.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (neg.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) -1)
(neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))
(neg.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))
(neg.f64 (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))
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(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))) 0)
(-.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(-.f64 0 (.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))))
(-.f64 0 (.f64 -1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 (neg.f64 a1)))))
(-.f64 0 (.f64 (/.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))))
(-.f64 0 (.f64 (.f64 a1 (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))
(-.f64 (.f64 0 (.f64 a1 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) a1))) (.f64 (.f64 a1 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) a1)) (neg.f64 a1)))
(-.f64 (.f64 0 (.f64 a1 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))) (.f64 (.f64 a1 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))) (.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))) 1)
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))) (/.f64 a1 a1))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))) (/.f64 (/.f64 a1 a1) (/.f64 a1 a1)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))) (/.f64 (.f64 a1 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a1 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))) (/.f64 (.f64 a1 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))) (.f64 a1 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))) (/.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))) (/.f64 (.f64 a1 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) a1)) (.f64 a1 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)) a1))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))) (/.f64 (.f64 (.f64 a1 (neg.f64 a1)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (.f64 a1 (neg.f64 a1)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) -1)
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(neg.f64 (.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))))
(neg.f64 (.f64 -1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 (neg.f64 a1)))))
(neg.f64 (.f64 (/.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))))
(neg.f64 (.f64 (.f64 a1 (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))

Outputs
(*.f64 -1 (/.f64 a1 (sqrt.f64 2)))
(neg.f64 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (.f64 -1 (/.f64 a1 (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 -1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (.f64 -1 (/.f64 a1 (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (.f64 -1 (/.f64 a1 (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2)))) (.f64 -1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (.f64 -1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (.f64 1/720 (/.f64 (.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 -1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (.f64 -1 (/.f64 a1 (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 -1 (/.f64 a1 (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))))))
(+.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))))))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
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(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
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(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
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(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
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(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
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(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
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(.f64 -1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
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(neg.f64 (.f64 -1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 (neg.f64 a1)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1)))
(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)))
(neg.f64 (.f64 (/.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1)))
(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)))
(neg.f64 (.f64 (.f64 a1 (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 (neg.f64 a1)))
(.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1)))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 38 to 19 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a1	@	0	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	a1	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	a2	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	a2	@	0	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	a2	@	-inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1140×	`rational_best_oopsla_all_46_json_45_simplify-80`
800×	`rational_best_oopsla_all_46_json_45_simplify-35`
634×	`rational_best_oopsla_all_46_json_45_simplify-89`
548×	`rational_best_oopsla_all_46_json_45_simplify-23`
538×	`rational_best_oopsla_all_46_json_45_simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	85	46
2	286	46
3	1219	46
4	5147	46

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(/.f64 1 (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Outputs

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2)) (/.f64 1 (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1 (sqrt.f64 2)))) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (/.f64 1 (sqrt.f64 2))))))))

simplify139.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1044×	`rational_best_oopsla_all_46_json_45_simplify-49`
822×	`rational_best_oopsla_all_46_json_45_simplify-72`
800×	`rational_best_oopsla_all_46_json_45_simplify-10`
766×	`rational_best_oopsla_all_46_json_45_simplify-30`
740×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	3669
1	528	3653
2	2605	3621
3	6039	3621

Stop Event

1×	node limit

Counts

95 → 85

Calls

Call 1

Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
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(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 1 (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 1 (sqrt.f64 2)))
(-.f64 (/.f64 1 (sqrt.f64 2)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(*.f64 1 (/.f64 1 (sqrt.f64 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) 1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (sqrt.f64 2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
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(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) -1)
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (.f64 (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(*.f64 -1 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (sqrt.f64 2)))) (/.f64 1 (sqrt.f64 2)))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (neg.f64 (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (/.f64 1 (sqrt.f64 2)))
(neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))))
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(+.f64 (.f64 0 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
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(+.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))) (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
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(+.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(+.f64 (.f64 (.f64 a2 a2) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 a1 a1)))
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(+.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(+.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))) (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(+.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))))
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(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 0)
(-.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(-.f64 0 (.f64 1 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
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(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 (neg.f64 a2))))
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(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1 (sqrt.f64 2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(neg.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(neg.f64 (.f64 1 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(neg.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
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(neg.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (/.f64 1 (sqrt.f64 2))))

Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
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(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 1 (sqrt.f64 2)) 0)
(/.f64 1 (sqrt.f64 2))
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(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 1 (sqrt.f64 2)) 0)
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(*.f64 (/.f64 1 (sqrt.f64 2)) 1)
(/.f64 1 (sqrt.f64 2))
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(/.f64 1 (sqrt.f64 2))
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(/.f64 1 (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (sqrt.f64 2)))))
(/.f64 1 (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 1 (sqrt.f64 2))
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(/.f64 1 (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 1 (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
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(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))
(/.f64 1 (sqrt.f64 2))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) -1)
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(/.f64 1 (sqrt.f64 2))
(*.f64 -1 (neg.f64 (/.f64 1 (sqrt.f64 2))))
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(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 1 (sqrt.f64 2))))
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(.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))) (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 1 (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 0)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
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(neg.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(-.f64 0 (.f64 1 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(neg.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(-.f64 0 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(neg.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(-.f64 0 (.f64 -1 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(-.f64 0 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 (neg.f64 a2))))
(-.f64 (.f64 a1 (.f64 (/.f64 1 (sqrt.f64 2)) a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 (neg.f64 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 a1) (*.f64 a2 (neg.f64 a2))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 (neg.f64 a1))))
(neg.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))))
(.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (neg.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (.f64 a1 (neg.f64 a1)))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) 1)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 1 (sqrt.f64 2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1 (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(neg.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(neg.f64 (.f64 1 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(neg.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(neg.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 a2)))))
(neg.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (*.f64 a1 (neg.f64 a1))))
(neg.f64 (.f64 -1 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(neg.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 a2 2) (cos.f64 th))
✓	0.3b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a2	@	inf	(*.f64 (pow.f64 a2 2) (cos.f64 th))
0.0ms	th	@	0	(*.f64 (pow.f64 a2 2) (cos.f64 th))
0.0ms	th	@	0	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
0.0ms	a2	@	0	(*.f64 (pow.f64 a2 2) (cos.f64 th))
0.0ms	a2	@	inf	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1752×	`rational_best_oopsla_all_46_json-2`
1752×	`rational_best_oopsla_all_46_json-1`
1752×	`rational_best_oopsla_all_46_json-4`
1752×	`rational_best_oopsla_all_46_json-3`
806×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	62	44
2	171	44
3	685	44
4	3429	44

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (*.f64 0 (/.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 a2 2) 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simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

886×	`rational_best_oopsla_all_46_json_45_simplify-37`
884×	`rational_best_oopsla_all_46_json_45_simplify-72`
812×	`rational_best_oopsla_all_46_json_45_simplify-10`
782×	`rational_best_oopsla_all_46_json_45_simplify-30`
724×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	2235
1	498	2235
2	2340	2227
3	6853	2227

Stop Event

1×	node limit

Counts

73 → 79

Calls

Call 1

Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))) (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a2 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a2 2))) (.f64 -1/720 (.f64 (pow.f64 th 6) (pow.f64 a2 2))))))
(+.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 0)
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(+.f64 0 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
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(-.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 1)
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(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 1 (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(.f64 1 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))
(.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))
(.f64 -1 (neg.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(.f64 -1 (.f64 1 (neg.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(.f64 -1 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (neg.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) -1)
(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(.f64 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (neg.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (neg.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) 0)
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 0 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a2 2) (cos.f64 th)))))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 0 (*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (pow.f64 a2 2)))))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 0 (.f64 (cos.f64 th) (.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2))))))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 0 (*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (cos.f64 th)))))
(+.f64 0 (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 0 (.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (pow.f64 a2 2)))) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 0 (.f64 (cos.f64 th) (.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2))))) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 0 (.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (cos.f64 th)))) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(-.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) 0)
(-.f64 0 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 a2 2))))
(-.f64 (.f64 0 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (cos.f64 th) (neg.f64 (pow.f64 a2 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) 1)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (cos.f64 th) (cos.f64 th)))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2))) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (cos.f64 th))) (*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (cos.f64 th)))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (pow.f64 a2 2))) (*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (pow.f64 a2 2)))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) (.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)))) (.f64 (cos.f64 th) (*.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2))))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a2 2) (cos.f64 th))) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 a2 2) (cos.f64 th)))))
(neg.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 a2 2))))

Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2))))
(+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) (.f64 -1/2 (pow.f64 th 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))) (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a2 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2))) (.f64 1/24 (.f64 (pow.f64 a2 2) (pow.f64 th 4)))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (pow.f64 a2 2) (.f64 -1/2 (pow.f64 th 2))) (.f64 (pow.f64 a2 2) (.f64 1/24 (pow.f64 th 4)))))
(+.f64 (.f64 (pow.f64 a2 2) (.f64 -1/2 (pow.f64 th 2))) (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) (.f64 1/24 (pow.f64 th 4)))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a2 2))) (.f64 -1/720 (.f64 (pow.f64 th 6) (pow.f64 a2 2))))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (pow.f64 th 4))) (.f64 -1/720 (.f64 (pow.f64 a2 2) (pow.f64 th 6))))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (pow.f64 a2 2) (.f64 -1/2 (pow.f64 th 2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 1/24 (pow.f64 th 4))) (.f64 (pow.f64 a2 2) (.f64 -1/720 (pow.f64 th 6))))))
(+.f64 (.f64 (pow.f64 a2 2) (.f64 -1/2 (pow.f64 th 2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 1/24 (pow.f64 th 4))) (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) (.f64 -1/720 (pow.f64 th 6))))))
(+.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 0)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 0 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 0 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (.f64 0 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(-.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 0)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(-.f64 0 (neg.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 1)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 1 (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 1 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 -1 (neg.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 -1 (.f64 1 (neg.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 -1 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (neg.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) -1)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (neg.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) 0)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 0 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a2 2) (cos.f64 th)))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 0 (*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (pow.f64 a2 2)))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 0 (.f64 (cos.f64 th) (.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2))))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 0 (*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (cos.f64 th)))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 0 (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 (.f64 0 (.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (pow.f64 a2 2)))) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 (.f64 0 (.f64 (cos.f64 th) (.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2))))) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 (.f64 0 (.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (cos.f64 th)))) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(-.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) 0)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(-.f64 0 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 a2 2))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(-.f64 (.f64 0 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a2 2) (cos.f64 th)))) (.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (cos.f64 th) (neg.f64 (pow.f64 a2 2)))))
(.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a2 2) (cos.f64 th))) (neg.f64 (.f64 (cos.f64 th) (neg.f64 (pow.f64 a2 2)))))
(.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) 1)
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (cos.f64 th) (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2))) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (cos.f64 th))) (*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (cos.f64 th)))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (pow.f64 a2 2))) (*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (pow.f64 a2 2)))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) (.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)))) (.f64 (cos.f64 th) (*.f64 (/.f64 (pow.f64 a2 2) (pow.f64 a2 2)) (/.f64 (pow.f64 a2 2) (pow.f64 a2 2))))))
(/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (/.f64 (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a2 2) (cos.f64 th))) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 a2 2) (cos.f64 th)))))
(neg.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 a2 2))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))

localize90.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
✓	0.4b	(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))

Compiler

Compiled 47 to 31 computations (34% saved)

series4.0ms (0%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a2	@	-inf	(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
1.0ms	a2	@	inf	(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
0.0ms	a1	@	inf	(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
0.0ms	a1	@	-inf	(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
0.0ms	th	@	0	(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))

rewrite154.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`rational_best_oopsla_all_46_json_45_simplify-7`
730×	`rational_best_oopsla_all_46_json_45_simplify-35`
594×	`rational_best_oopsla_all_46_json_45_simplify-108`
586×	`rational_best_oopsla_all_46_json_45_simplify-80`
514×	`rational_best_oopsla_all_46_json_45_simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	78	68
2	211	68
3	889	68
4	4574	68
5	7703	68

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (*.f64 0 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (-.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (*.f64 0 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (*.f64 1 (*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))) (*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (neg.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))))))

simplify223.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1254×	`rational_best_oopsla_all_46_json_45_simplify-37`
1050×	`rational_best_oopsla_all_46_json_45_simplify-72`
956×	`rational_best_oopsla_all_46_json_45_simplify-49`
856×	`rational_best_oopsla_all_46_json_45_simplify-13`
806×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	286	9321
1	889	8361
2	3492	8361

Stop Event

1×	node limit

Counts

177 → 166

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
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(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))) 0) (.f64 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (neg.f64 (cos.f64 th)))))
(-.f64 (+.f64 0 (.f64 0 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (neg.f64 (cos.f64 th))))
(-.f64 (+.f64 0 (.f64 0 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))) (.f64 (*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (neg.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))) (.f64 0 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))) (.f64 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (neg.f64 (cos.f64 th)))))
(-.f64 (+.f64 0 (.f64 0 (.f64 (cos.f64 th) (.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (neg.f64 (cos.f64 th))))
(-.f64 (+.f64 0 (.f64 0 (.f64 (cos.f64 th) (.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))) (.f64 (*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (neg.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))) (.f64 0 (.f64 (cos.f64 th) (.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))) (.f64 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (neg.f64 (cos.f64 th)))))
(-.f64 (+.f64 0 (.f64 0 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (neg.f64 (cos.f64 th))))
(-.f64 (+.f64 0 (.f64 0 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (neg.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))) (.f64 0 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (.f64 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (neg.f64 (cos.f64 th)))))
(-.f64 (+.f64 0 (.f64 0 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (cos.f64 th))))) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (neg.f64 (cos.f64 th))))
(-.f64 (+.f64 0 (.f64 0 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (cos.f64 th))))) (.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (neg.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))) (.f64 0 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (cos.f64 th))))) (.f64 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (neg.f64 (cos.f64 th)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (cos.f64 th)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) (.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (.f64 (cos.f64 th) (*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))) (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (cos.f64 th)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(neg.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (neg.f64 (cos.f64 th))))
(neg.f64 (.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (neg.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))

Outputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
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(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(-.f64 (+.f64 0 (.f64 0 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (cos.f64 th))))) (.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (neg.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(neg.f64 (.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (neg.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(neg.f64 (.f64 (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (.f64 (neg.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (cos.f64 th))))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))) (.f64 0 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (cos.f64 th))))) (.f64 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (neg.f64 (cos.f64 th)))))
(.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) 1)
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (.f64 (cos.f64 th) (.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (.f64 (cos.f64 th) (*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))) (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (cos.f64 th)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (/.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (cos.f64 th)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(neg.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (neg.f64 (cos.f64 th))))
(+.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(neg.f64 (.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (neg.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(neg.f64 (.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (neg.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(neg.f64 (.f64 (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (.f64 (neg.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (cos.f64 th))))

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
✓	0.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 90 to 46 computations (48.9% saved)

series5.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	a2	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
1.0ms	th	@	0	(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
1.0ms	th	@	inf	(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
0.0ms	a2	@	0	(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
0.0ms	th	@	-inf	(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))

rewrite127.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`rational_best_oopsla_all_46_json_45_simplify-35`
848×	`rational_best_oopsla_all_46_json_45_simplify-89`
806×	`rational_best_oopsla_all_46_json_45_simplify-23`
732×	`rational_best_oopsla_all_46_json_45_simplify-37`
694×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	153
1	105	153
2	361	133
3	1562	113
4	6952	113

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

Inputs

(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))

(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))

(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (+.f64 (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 0 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 0 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a1 a1) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (+.f64 (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) 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th) (sqrt.f64 2))))) (neg.f64 (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))

simplify181.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1464×	`rational_best_oopsla_all_46_json_45_simplify-13`
1178×	`rational_best_oopsla_all_46_json_45_simplify-49`
942×	`rational_best_oopsla_all_46_json_45_simplify-72`
778×	`rational_best_oopsla_all_46_json_45_simplify-89`
762×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	11859
1	986	11719
2	3824	11199

Stop Event

1×	node limit

Counts

215 → 182

Calls

Call 1

Inputs
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
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(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)
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(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
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(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(/.f64 (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) -1)
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(neg.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
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(-.f64 0 (neg.f64 (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 1 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
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(.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(.f64 (neg.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) -1)
(.f64 (neg.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (neg.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 -1 (neg.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
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(neg.f64 (neg.f64 (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))

Outputs
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(+.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))) (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
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(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
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(neg.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (neg.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(neg.f64 (.f64 -1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(neg.f64 (.f64 (neg.f64 (.f64 (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 0 (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 0 (neg.f64 (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 1 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (neg.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) -1)
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (neg.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (neg.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 -1 (neg.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (neg.f64 (/.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (neg.f64 (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(neg.f64 (neg.f64 (/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))

eval667.0ms (5.4%)

Compiler: Compiled 34286 to 21267 computations (38% saved)

prune216.0ms (1.7%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	874	8	882
Fresh	0	4	4
Picked	0	1	1
Done	0	5	5
Total	874	18	892

Error

0.2b

Counts

892 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	41.3b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
▶	41.0b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	6.5b	(/.f64 (+.f64 (.f64 (pow.f64 a2 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (pow.f64 a1 2))) (sqrt.f64 2))
✓	27.5b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
	29.5b	(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
✓	0.7b	(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
✓	0.5b	(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))
▶	0.5b	(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
▶	12.7b	(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
▶	14.6b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))
▶	26.4b	(-.f64 (.f64 a1 (.f64 (/.f64 1 (sqrt.f64 2)) a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 (neg.f64 a2))))
	14.9b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
	0.8b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))))
✓	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
✓	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	26.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	6.6b	(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))

Compiler

Compiled 678 to 486 computations (28.3% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))
	0.2b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	0.5b	(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 77 to 38 computations (50.6% saved)

series1.0ms (0%)

Counts

2 → 28

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	th	@	0	(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
0.0ms	th	@	0	(.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))
0.0ms	a1	@	0	(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
0.0ms	a1	@	-inf	(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
0.0ms	th	@	-inf	(.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2048×	`rational_best_oopsla_all_46_json-2`
2048×	`rational_best_oopsla_all_46_json-1`
2048×	`rational_best_oopsla_all_46_json-4`
2048×	`rational_best_oopsla_all_46_json-3`
532×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	75	52
2	232	52
3	1017	52
4	4392	52

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (*.f64 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 -1 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (*.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (*.f64 (/.f64 (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (*.f64 (*.f64 a1 (/.f64 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) a1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 a1 a1) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (neg.f64 (/.f64 a1 a1)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (*.f64 (*.f64 a1 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 a1 a1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))) (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 a1 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))) (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 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(sqrt.f64 2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (*.f64 (*.f64 a1 (/.f64 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) a1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 a1 a1) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (neg.f64 (/.f64 a1 a1)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (*.f64 (*.f64 a1 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 a1 a1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 a1 a1) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (/.f64 (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))) (*.f64 (/.f64 (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 a1 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (/.f64 a1 a1) (/.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 a1 a1)) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 a1 (/.f64 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) a1)) (*.f64 a1 (/.f64 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 a1 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (*.f64 a1 (/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (/.f64 (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 (/.f64 a1 a1) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (neg.f64 (/.f64 a1 a1)))) (*.f64 (/.f64 a1 a1) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (neg.f64 (/.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 a1 a1) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))))))

simplify140.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1494×	`rational_best_oopsla_all_46_json_45_simplify-37`
1244×	`rational_best_oopsla_all_46_json_45_simplify-13`
798×	`rational_best_oopsla_all_46_json_45_simplify-10`
694×	`rational_best_oopsla_all_46_json_45_simplify-72`
670×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	162	3503
1	533	3455
2	2039	3455
3	7824	3455

Stop Event

1×	node limit

Counts

87 → 97

Calls

Call 1

Inputs
(/.f64 a1 (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 -1/720 (/.f64 (.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))))))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(-.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))
(.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) 1)
(.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))
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(.f64 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) -1)
(.f64 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
(.f64 1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 -1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))
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(.f64 (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))
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(.f64 (.f64 (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(neg.f64 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))
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(-.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) 0)
(-.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (.f64 (.f64 a1 (neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) 0))
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(-.f64 (.f64 0 (/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))) (.f64 (/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
(-.f64 (.f64 0 (.f64 a1 (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) 1)
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(/.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (/.f64 a1 a1) (/.f64 a1 a1)))
(/.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 a1 a1)) (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 a1 a1))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) a1)) (.f64 a1 (/.f64 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) a1))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (.f64 a1 (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 a1 a1) (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (neg.f64 (/.f64 a1 a1)))) (.f64 (/.f64 a1 a1) (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (neg.f64 (/.f64 a1 a1))))))
(/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) -1)
(neg.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))
(neg.f64 (.f64 (/.f64 a1 a1) (.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))

Outputs
(/.f64 a1 (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))))
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(+.f64 (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2)))) (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))))
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(.f64 -1 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(neg.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
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(neg.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
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(/.f64 (.f64 (neg.f64 a1) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (.f64 a1 (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (.f64 a1 (/.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (.f64 (neg.f64 a1) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 a1 a1) (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (neg.f64 (/.f64 a1 a1)))) (.f64 (/.f64 a1 a1) (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (neg.f64 (/.f64 a1 a1))))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 a1 a1) (neg.f64 (/.f64 a1 a1)))) (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 a1 a1) (neg.f64 (/.f64 a1 a1))))))
(/.f64 (.f64 (neg.f64 a1) (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 a1 a1) (neg.f64 (/.f64 a1 a1)))) (.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (.f64 (/.f64 a1 a1) (neg.f64 (/.f64 a1 a1))))))
(/.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) -1)
(neg.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))
(neg.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))
(neg.f64 (.f64 (/.f64 a1 a1) (.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
(neg.f64 (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	a1	@	0	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
0.0ms	a1	@	inf	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
0.0ms	a1	@	-inf	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))

rewrite99.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`rational_best_oopsla_all_46_json_45_simplify-23`
994×	`rational_best_oopsla_all_46_json_45_simplify-13`
980×	`rational_best_oopsla_all_46_json_45_simplify-37`
728×	`rational_best_oopsla_all_46_json-2`
728×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	42	17
2	92	17
3	289	17
4	1331	17
5	7595	17

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))))

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1726×	`rational_best_oopsla_all_46_json_45_simplify-89`
1412×	`rational_best_oopsla_all_46_json_45_simplify-74`
1126×	`rational_best_oopsla_all_46_json_45_simplify-49`
1010×	`rational_best_oopsla_all_46_json_45_simplify-24`
994×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	952
1	440	952
2	2548	952

Stop Event

1×	node limit

Counts

56 → 57

Calls

Call 1

Inputs
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 0)
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) 0))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) 0))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) 0))
(+.f64 0 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 0 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 0)
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 0 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) 0))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) 0))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) 0))
(-.f64 0 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(-.f64 (.f64 0 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 1)
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (neg.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(*.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 0 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))))
(.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))))
(*.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) -1)
(*.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 -1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(*.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (-.f64 (/.f64 0 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (neg.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (neg.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(*.f64 -1 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (neg.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(neg.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))

Outputs
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) 0))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) 0))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) 0))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 0 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (.f64 0 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 0 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) 0))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) 0))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) 0))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 0 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (.f64 0 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (neg.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 0 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) -1)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 -1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (-.f64 (/.f64 0 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (neg.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (neg.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 -1 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (*.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (neg.f64 (.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(neg.f64 (neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a1 (.f64 (/.f64 1 (sqrt.f64 2)) a1))
✓	0.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 (neg.f64 a2)))
✓	0.4b	(*.f64 (/.f64 1 (sqrt.f64 2)) a1)
	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 60 to 41 computations (31.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	a2	@	0	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 (neg.f64 a2)))
0.0ms	a1	@	-inf	(*.f64 (/.f64 1 (sqrt.f64 2)) a1)
0.0ms	a1	@	0	(*.f64 (/.f64 1 (sqrt.f64 2)) a1)
0.0ms	a2	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 (neg.f64 a2)))
0.0ms	a1	@	inf	(*.f64 (/.f64 1 (sqrt.f64 2)) a1)

rewrite117.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`rational_best_oopsla_all_46_json_45_simplify-89`
886×	`rational_best_oopsla_all_46_json_45_simplify-23`
862×	`rational_best_oopsla_all_46_json_45_simplify-13`
782×	`rational_best_oopsla_all_46_json_45_simplify-37`
724×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	98	67
2	366	67
3	1813	67
4	7506	67

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (sqrt.f64 2)) a1)
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 (neg.f64 a2)))
(.f64 a1 (.f64 (/.f64 1 (sqrt.f64 2)) a1))

Outputs

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a1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 a1 a1) (*.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a1) (neg.f64 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2))))))))

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1068×	`rational_best_oopsla_all_46_json_45_simplify-23`
956×	`rational_best_oopsla_all_46_json_45_simplify-72`
778×	`rational_best_oopsla_all_46_json_45_simplify-49`
640×	`rational_best_oopsla_all_46_json_45_simplify-89`
618×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	5650
1	871	5626
2	3070	5594

Stop Event

1×	node limit

Counts

176 → 191

Calls

Call 1

Inputs
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(*.f64 -1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a1) 0)
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(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a1 a1)) 0))
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(+.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a1 (/.f64 1 (sqrt.f64 2))))) (*.f64 (/.f64 1 (sqrt.f64 2)) a1))
(+.f64 (.f64 0 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))) (.f64 (/.f64 1 (sqrt.f64 2)) a1))
(+.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a1 a1))) (*.f64 (/.f64 1 (sqrt.f64 2)) a1))
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a1) 0)
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(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) 0))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a1 a1)) 0))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (.f64 (neg.f64 (*.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) 0))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (.f64 (neg.f64 (/.f64 a1 a1)) 0))
(-.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a1)))
(-.f64 0 (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (neg.f64 (/.f64 a1 a1))))
(-.f64 0 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a1))))
(-.f64 0 (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (.f64 (/.f64 1 (sqrt.f64 2)) a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a1))))
(-.f64 0 (.f64 (neg.f64 (.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (/.f64 1 (sqrt.f64 2))))
(-.f64 0 (.f64 (neg.f64 (/.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) a1)))
(-.f64 (.f64 0 (.f64 (/.f64 a1 a1) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (.f64 (/.f64 1 (sqrt.f64 2)) a1)))) (.f64 (.f64 (/.f64 a1 a1) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (.f64 (/.f64 1 (sqrt.f64 2)) a1))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a1))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a1) 1)
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a1) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a1) (/.f64 a1 a1))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (*.f64 (/.f64 1 (sqrt.f64 2)) a1)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a1) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (/.f64 (.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (*.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a1) (/.f64 (/.f64 a1 a1) (/.f64 a1 a1)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a1 a1)) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a1 a1))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a1 (/.f64 1 (sqrt.f64 2)))) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a1 (/.f64 1 (sqrt.f64 2))))))
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Outputs
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
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(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1)) 0))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (neg.f64 (.f64 a1 a1)) 0))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(-.f64 0 (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (neg.f64 a1)))
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(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(-.f64 0 (.f64 1 (.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a1) (neg.f64 a1))))
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(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(-.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (.f64 a1 a1))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(-.f64 0 (.f64 -1 (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(-.f64 0 (.f64 (/.f64 a1 a1) (.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a1) (neg.f64 a1))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(-.f64 0 (.f64 (.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a1))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(-.f64 0 (.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1)))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(-.f64 0 (.f64 (neg.f64 (.f64 a1 a1)) (/.f64 1 (sqrt.f64 2))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(-.f64 (.f64 0 (.f64 a1 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (.f64 (/.f64 1 (sqrt.f64 2)) a1)))) (.f64 (.f64 a1 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (.f64 (/.f64 1 (sqrt.f64 2)) a1))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a1))))
(.f64 (.f64 a1 (/.f64 (.f64 a1 (/.f64 1 (sqrt.f64 2))) (.f64 a1 (/.f64 1 (sqrt.f64 2))))) (neg.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a1))))
(.f64 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a1))) (.f64 a1 (/.f64 (.f64 a1 (/.f64 1 (sqrt.f64 2))) (*.f64 a1 (/.f64 1 (sqrt.f64 2))))))
(.f64 (.f64 1 (.f64 a1 (/.f64 1 (sqrt.f64 2)))) (.f64 a1 (/.f64 (.f64 a1 (/.f64 1 (sqrt.f64 2))) (.f64 a1 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)))) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))) (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (neg.f64 a1))))
(.f64 (/.f64 (.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2)))) (.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))) (neg.f64 (.f64 (*.f64 a1 (/.f64 1 (sqrt.f64 2))) (neg.f64 a1))))
(.f64 (/.f64 (.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2)))) (.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))) (neg.f64 (.f64 a1 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a1)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) 1)
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 a1 a1))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (.f64 (/.f64 1 (sqrt.f64 2)) a1)))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))
(/.f64 (.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (/.f64 a1 a1) (/.f64 a1 a1)))
(/.f64 (.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 a1 a1) (/.f64 a1 a1)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)))))
(/.f64 (.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2)))) (.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))) (/.f64 (.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2)))) (.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2)))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 a1 (.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (.f64 a1 (.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 a1 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (.f64 (/.f64 1 (sqrt.f64 2)) a1))) (.f64 a1 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) (.f64 (/.f64 1 (sqrt.f64 2)) a1)))))
(/.f64 (.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 (.f64 a1 (/.f64 1 (sqrt.f64 2))) (.f64 a1 (/.f64 1 (sqrt.f64 2))))) (.f64 a1 (/.f64 (.f64 a1 (/.f64 1 (sqrt.f64 2))) (.f64 a1 (/.f64 1 (sqrt.f64 2)))))))
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(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 a1 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) a1)) (.f64 a1 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) a1))))
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(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (.f64 a1 (/.f64 (.f64 a1 (/.f64 1 (sqrt.f64 2))) a1)) (.f64 a1 (/.f64 (.f64 a1 (/.f64 1 (sqrt.f64 2))) a1))))
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(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(neg.f64 (.f64 1 (.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a1) (neg.f64 a1))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(neg.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (.f64 a1 a1))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(neg.f64 (.f64 -1 (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(neg.f64 (.f64 (/.f64 a1 a1) (.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a1) (neg.f64 a1))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(neg.f64 (.f64 (.f64 a1 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a1))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(neg.f64 (.f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1)))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(neg.f64 (.f64 (neg.f64 (.f64 a1 a1)) (/.f64 1 (sqrt.f64 2))))
(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
	0.2b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	0.5b	(/.f64 a1 (sqrt.f64 2))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a1	@	inf	(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
0.0ms	a1	@	0	(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
0.0ms	a1	@	-inf	(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
0.0ms	a1	@	0	(/.f64 a1 (sqrt.f64 2))
0.0ms	a1	@	inf	(/.f64 a1 (sqrt.f64 2))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`rational_best_oopsla_all_46_json-2`
1648×	`rational_best_oopsla_all_46_json-1`
1648×	`rational_best_oopsla_all_46_json-4`
1648×	`rational_best_oopsla_all_46_json-3`
976×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	56	32
2	168	32
3	714	32
4	3363	32

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(/.f64 a1 (sqrt.f64 2))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (-.f64 0 (*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (*.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (/.f64 -1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))) (neg.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (*.f64 0 (/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (*.f64 0 (*.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (*.f64 0 (*.f64 a1 (/.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (*.f64 0 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (/.f64 a1 a1) (neg.f64 (/.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 a1 (/.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) a1))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (/.f64 a1 a1) (neg.f64 (/.f64 a1 a1))))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (-.f64 0 (*.f64 0 (*.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) (*.f64 (/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 a1 a1) (/.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (*.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))) (*.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (*.f64 a1 (/.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) a1)) (*.f64 a1 (/.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (*.f64 (/.f64 a1 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a1))) (*.f64 (/.f64 a1 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))))

simplify142.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1702×	`rational_best_oopsla_all_46_json_45_simplify-89`
1306×	`rational_best_oopsla_all_46_json_45_simplify-74`
1162×	`rational_best_oopsla_all_46_json_45_simplify-24`
792×	`rational_best_oopsla_all_46_json_45_simplify-10`
722×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	130	1483
1	502	1459
2	2333	1459
3	7456	1459

Stop Event

1×	node limit

Counts

75 → 68

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 a1 (sqrt.f64 2)))
(-.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(-.f64 0 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 a1 (sqrt.f64 2)))))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 a1 (sqrt.f64 2))))))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 -1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 -1 (/.f64 a1 (sqrt.f64 2))))))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 -1 (*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 a1 (sqrt.f64 2))))))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (neg.f64 (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))
(.f64 (/.f64 a1 (sqrt.f64 2)) (-.f64 0 (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))))
(.f64 (/.f64 a1 (sqrt.f64 2)) (-.f64 0 (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 -1 (/.f64 a1 (sqrt.f64 2))))))
(*.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) -1)
(*.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))
(.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 -1 (/.f64 a1 (sqrt.f64 2)))))
(.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (.f64 -1 (*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (.f64 -1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 a1 (sqrt.f64 2))))))
(.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (-.f64 0 (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 -1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (/.f64 -1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(*.f64 (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))) (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 a1 (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))) (/.f64 a1 (sqrt.f64 2)))
(neg.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) 0)
(+.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (.f64 0 (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(+.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (.f64 0 (*.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(+.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (.f64 0 (*.f64 a1 (/.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) a1))))
(+.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (.f64 0 (.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 a1 a1) (neg.f64 (/.f64 a1 a1))))))
(+.f64 0 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (.f64 0 (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))) (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (.f64 0 (.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (.f64 0 (.f64 a1 (/.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) a1))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (.f64 0 (.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 a1 a1) (neg.f64 (/.f64 a1 a1))))) (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) 0)
(-.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (-.f64 0 (.f64 0 (*.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))))
(-.f64 0 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (.f64 0 (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))) (.f64 (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (.f64 0 (.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) 1)
(/.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 a1 a1))
(/.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 a1 a1) (/.f64 a1 a1)))
(/.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a1))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))) (*.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) a1)) (*.f64 a1 (/.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) a1))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 a1 a1) (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a1))) (.f64 (/.f64 a1 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a1)))))
(/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) -1)
(neg.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))

Outputs
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(neg.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(+.f64 0 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (sqrt.f64 2))
(-.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(-.f64 0 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 a1 (sqrt.f64 2)))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 -1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 -1 (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 -1 (*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (neg.f64 (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 a1 (sqrt.f64 2)) (-.f64 0 (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 a1 (sqrt.f64 2)) (-.f64 0 (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 -1 (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) -1)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 -1 (/.f64 a1 (sqrt.f64 2)))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (.f64 -1 (*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (.f64 -1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (-.f64 0 (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (sqrt.f64 2))
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (sqrt.f64 2))
(*.f64 -1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (/.f64 -1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))) (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (sqrt.f64 2))
(.f64 (.f64 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))) (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (sqrt.f64 2))
(neg.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(+.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) 0)
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (.f64 0 (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (.f64 0 (*.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (.f64 0 (*.f64 a1 (/.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) a1))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (.f64 0 (.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 a1 a1) (neg.f64 (/.f64 a1 a1))))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 0 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (.f64 0 (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))) (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (.f64 0 (.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (.f64 0 (.f64 a1 (/.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) a1))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (.f64 0 (.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 a1 a1) (neg.f64 (/.f64 a1 a1))))) (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) 0)
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (-.f64 0 (.f64 0 (*.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(-.f64 0 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (.f64 0 (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))) (.f64 (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (.f64 0 (.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) 1)
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 a1 a1))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 a1 a1) (/.f64 a1 a1)))
(/.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a1))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))) (*.f64 a1 (/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 a1 (/.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) a1)) (*.f64 a1 (/.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) a1))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 a1 a1) (.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a1))) (.f64 (/.f64 a1 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a1)))))
(/.f64 (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 a1 a1) (/.f64 a1 a1))) (.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (/.f64 a1 a1) (/.f64 a1 a1)))))
(/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) -1)
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(neg.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))
✓	0.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))
	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 71 to 42 computations (40.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	a2	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
0.0ms	a2	@	0	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
0.0ms	a2	@	-inf	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`rational_best_oopsla_all_46_json-2`
1614×	`rational_best_oopsla_all_46_json-1`
1614×	`rational_best_oopsla_all_46_json-4`
1614×	`rational_best_oopsla_all_46_json-3`
986×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	63	23
2	204	23
3	876	23
4	3775	23

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 0 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 0 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 1 (sqrt.f64 2))))) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))) (*.f64 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))) (*.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2)) (neg.f64 (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (/.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (/.f64 (*.f64 a2 (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (*.f64 a2 (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2) (*.f64 (/.f64 1 (sqrt.f64 2)) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (/.f64 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2))) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 1 (sqrt.f64 2)))) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (/.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))) (*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (*.f64 a2 a2))))))))

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1328×	`rational_best_oopsla_all_46_json_45_simplify-49`
1202×	`rational_best_oopsla_all_46_json_45_simplify-7`
818×	`rational_best_oopsla_all_46_json_45_simplify-89`
620×	`rational_best_oopsla_all_46_json_45_simplify-13`
596×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	1018
1	202	1018
2	867	942
3	4317	942

Stop Event

1×	node limit

Counts

38 → 33

Calls

Call 1

Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) 0)
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 1 (sqrt.f64 2))))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 0 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))))
(+.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 1 (sqrt.f64 2))))) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (.f64 0 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) 0)
(-.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2))))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))))
(-.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))) (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2)) (neg.f64 (*.f64 a2 a2))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) 1)
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 a2 a2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (.f64 (/.f64 1 (sqrt.f64 2)) a2)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 1 (sqrt.f64 2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 1 (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))))
(neg.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2))))

Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) 0)
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 1 (sqrt.f64 2))))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 0 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 1 (sqrt.f64 2))))) (.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2)))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 (.f64 0 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(+.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) 0)
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(-.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2)))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(-.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))) (.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2)) (neg.f64 (*.f64 a2 a2))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) 1)
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 a2 a2))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (.f64 (/.f64 1 (sqrt.f64 2)) a2)))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 1 (sqrt.f64 2)))) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 1 (sqrt.f64 2))))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2)))) (/.f64 (.f64 a2 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))) (.f64 a2 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2)) (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(neg.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 (.f64 a2 a2))))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))

eval605.0ms (4.9%)

Compiler: Compiled 27775 to 18747 computations (32.5% saved)

prune426.0ms (3.4%)

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	828	4	832
Fresh	0	7	7
Picked	0	1	1
Done	3	7	10
Total	831	19	850

Error

0.2b

Counts

850 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.3b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
✓	41.0b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	6.5b	(/.f64 (+.f64 (.f64 (pow.f64 a2 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (pow.f64 a1 2))) (sqrt.f64 2))
✓	27.5b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
	29.5b	(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
✓	0.7b	(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
✓	0.5b	(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))
✓	14.6b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))
▶	14.6b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
	26.4b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
▶	12.7b	(-.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
▶	26.4b	(-.f64 (.f64 a1 (.f64 (/.f64 1 (sqrt.f64 2)) a1)) (.f64 a2 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))))
	14.9b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
▶	0.8b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))))
✓	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
✓	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	26.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	6.6b	(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))

Compiler

Compiled 683 to 493 computations (27.8% saved)

localize70.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
✓	0.4b	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 63 to 34 computations (46% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	th	@	-inf	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
1.0ms	th	@	inf	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
1.0ms	a2	@	0	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
0.0ms	th	@	0	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
0.0ms	a2	@	inf	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`rational_best_oopsla_all_46_json-2`
1846×	`rational_best_oopsla_all_46_json-1`
1846×	`rational_best_oopsla_all_46_json-4`
1846×	`rational_best_oopsla_all_46_json-3`
676×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	66	48
2	203	48
3	899	48
4	4089	48

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 0 (*.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 0 (*.f64 (/.f64 a2 a2) (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 0 (*.f64 (/.f64 a2 a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 0 (*.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 a2 a2) (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 a2 a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2)))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 a2 a2) (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 (*.f64 (/.f64 a2 a2) (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 a2 a2) (/.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (/.f64 a2 a2) (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (/.f64 a2 a2) (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) (*.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (/.f64 a2 a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2))) (*.f64 (/.f64 a2 a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 0 (*.f64 a2 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 0 (/.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 0 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 0 (*.f64 a2 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 a2 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 a2 a2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 a2 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 a2 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 (*.f64 a2 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (/.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 (/.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 a2 a2) (/.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 a2 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 a2 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 a2 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2)) (*.f64 a2 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 a2)))))))

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1578×	`rational_best_oopsla_all_46_json_45_simplify-89`
1198×	`rational_best_oopsla_all_46_json_45_simplify-74`
1120×	`rational_best_oopsla_all_46_json_45_simplify-24`
1078×	`rational_best_oopsla_all_46_json_45_simplify-13`
976×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	3109
1	438	3109
2	1676	3109
3	6036	3109

Stop Event

1×	node limit

Counts

99 → 79

Calls

Call 1

Inputs
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 a2 (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
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(+.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 0 (.f64 (/.f64 a2 a2) (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(+.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 0 (.f64 (/.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2)))))
(+.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 0 (*.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(+.f64 0 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (.f64 0 (.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (.f64 0 (.f64 (/.f64 a2 a2) (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (.f64 0 (.f64 (/.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2)))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (.f64 0 (.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(-.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a2)))
(-.f64 (.f64 0 (.f64 (/.f64 a2 a2) (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (.f64 (.f64 (/.f64 a2 a2) (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a2))))
(/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 a2 a2))
(/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 a2 a2) (/.f64 a2 a2)))
(/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2))))
(/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (/.f64 a2 a2) (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 (/.f64 a2 a2) (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2)) (*.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))))
(/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (/.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2))) (.f64 (/.f64 a2 a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2)))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a2)) -1)
(neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a2)))
(+.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 0)
(+.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 0 (.f64 a2 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(+.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 0 (/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(+.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 0 (.f64 a2 a2)))
(+.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 0 (.f64 a2 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))))
(+.f64 0 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (.f64 0 (.f64 a2 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (.f64 0 (/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (.f64 0 (.f64 a2 a2)) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (.f64 0 (.f64 a2 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))) (.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(-.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 0)
(-.f64 0 (.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 a2)))
(-.f64 (.f64 0 (.f64 a2 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (.f64 (.f64 a2 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a2))))
(-.f64 (.f64 0 (/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (.f64 (/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 a2))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 a2 a2))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 a2 a2) (/.f64 a2 a2)))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 a2 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2)) (.f64 a2 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))))
(neg.f64 (.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 a2)))

Outputs
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2)))))
(+.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2)))) (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))))
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(+.f64 (+.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))))) (.f64 -1/720 (/.f64 (.f64 a2 (pow.f64 th 6)) (sqrt.f64 2))))
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(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
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(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
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(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
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(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
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(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 0 (.f64 (/.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2)))))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 0 (*.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (.f64 0 (.f64 a2 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (.f64 0 (.f64 (/.f64 a2 a2) (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
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(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 a2 a2) (/.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 a2 a2) (/.f64 a2 a2)))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a2)) -1)
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a2)))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
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(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
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(-.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 0)
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(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
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(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 a2 a2) (/.f64 a2 a2)))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 a2))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (.f64 a2 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (.f64 a2 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2)) (.f64 a2 (/.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(neg.f64 (.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 a2)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	a2	@	inf	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
0.0ms	a2	@	0	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
0.0ms	a2	@	-inf	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`rational_best_oopsla_all_46_json_45_simplify-23`
994×	`rational_best_oopsla_all_46_json_45_simplify-13`
980×	`rational_best_oopsla_all_46_json_45_simplify-37`
728×	`rational_best_oopsla_all_46_json-2`
728×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	42	17
2	92	17
3	289	17
4	1331	17
5	7595	17

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))

Outputs

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simplify132.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1726×	`rational_best_oopsla_all_46_json_45_simplify-89`
1412×	`rational_best_oopsla_all_46_json_45_simplify-74`
1126×	`rational_best_oopsla_all_46_json_45_simplify-49`
1010×	`rational_best_oopsla_all_46_json_45_simplify-24`
994×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	952
1	440	952
2	2548	952

Stop Event

1×	node limit

Counts

56 → 57

Calls

Call 1

Inputs
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 0)
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(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) 0))
(+.f64 0 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
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(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 0)
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 0 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
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(-.f64 0 (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
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(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1)
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(.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(*.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
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(.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 0 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))))
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(.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
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(*.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) -1)
(*.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
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(.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (neg.f64 (.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(*.f64 -1 (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
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(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
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(*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
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(neg.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))

Outputs
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
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(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
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(.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (-.f64 (/.f64 0 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (neg.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (neg.f64 (.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 -1 (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (neg.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(neg.f64 (neg.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))

localize80.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 a1 (.f64 (/.f64 1 (sqrt.f64 2)) a1))
	0.4b	(*.f64 (/.f64 1 (sqrt.f64 2)) a1)
✓	0.4b	(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 63 to 47 computations (25.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	a2	@	0	(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
0.0ms	a2	@	inf	(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
0.0ms	a2	@	-inf	(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1658×	`rational_best_oopsla_all_46_json-2`
1658×	`rational_best_oopsla_all_46_json-1`
1658×	`rational_best_oopsla_all_46_json-4`
1658×	`rational_best_oopsla_all_46_json-3`
984×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	60	21
2	168	21
3	717	21
4	3380	21

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (*.f64 0 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2) (*.f64 (/.f64 1 (sqrt.f64 2)) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (*.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (*.f64 0 (*.f64 a2 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (*.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 a2) (/.f64 1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2) (*.f64 (/.f64 1 (sqrt.f64 2)) a2))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 a2 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 a2) (/.f64 1 (sqrt.f64 2))))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (-.f64 0 (*.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) a2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2) (*.f64 (/.f64 1 (sqrt.f64 2)) a2))) (*.f64 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2) (*.f64 (/.f64 1 (sqrt.f64 2)) a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))) (*.f64 (/.f64 1 (sqrt.f64 2)) a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2) (*.f64 (/.f64 1 (sqrt.f64 2)) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 a2) (/.f64 1 (sqrt.f64 2)))) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 a2) (/.f64 1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2) (*.f64 (/.f64 1 (sqrt.f64 2)) a2)) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2) (*.f64 (/.f64 1 (sqrt.f64 2)) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2))))))

simplify134.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational_best_oopsla_all_46_json_45_simplify-72`
908×	`rational_best_oopsla_all_46_json_45_simplify-49`
900×	`rational_best_oopsla_all_46_json_45_simplify-7`
720×	`rational_best_oopsla_all_46_json_45_simplify-89`
558×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	911
1	197	887
2	795	887
3	3501	887
4	7948	887

Stop Event

1×	node limit

Counts

39 → 33

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) 0)
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (.f64 (/.f64 1 (sqrt.f64 2)) a2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (.f64 0 (.f64 a2 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 a2) (/.f64 1 (sqrt.f64 2))))))
(+.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))
(+.f64 (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (.f64 (/.f64 1 (sqrt.f64 2)) a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))
(+.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))
(+.f64 (.f64 0 (.f64 a2 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))) (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))
(+.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 a2) (/.f64 1 (sqrt.f64 2))))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) 0)
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (-.f64 0 (.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2)))))
(-.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) a2))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (.f64 (/.f64 1 (sqrt.f64 2)) a2))) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (.f64 (/.f64 1 (sqrt.f64 2)) a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) a2)))
(-.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))) (*.f64 (/.f64 1 (sqrt.f64 2)) a2))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) 1)
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 a2 a2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (*.f64 (/.f64 1 (sqrt.f64 2)) a2)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 a2) (/.f64 1 (sqrt.f64 2)))) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 a2) (/.f64 1 (sqrt.f64 2))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (.f64 (/.f64 1 (sqrt.f64 2)) a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (*.f64 (/.f64 1 (sqrt.f64 2)) a2))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2) -1)
(neg.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2))

Outputs
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(neg.f64 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(neg.f64 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(neg.f64 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(neg.f64 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(neg.f64 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(neg.f64 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(neg.f64 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(neg.f64 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(neg.f64 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(neg.f64 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(neg.f64 (/.f64 a2 (sqrt.f64 2)))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(neg.f64 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) 0)
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (.f64 (/.f64 1 (sqrt.f64 2)) a2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (.f64 0 (.f64 a2 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 a2) (/.f64 1 (sqrt.f64 2))))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(+.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (.f64 (/.f64 1 (sqrt.f64 2)) a2))) (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 0 (.f64 a2 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))) (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 a2) (/.f64 1 (sqrt.f64 2))))) (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) 0)
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (-.f64 0 (.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2)))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(-.f64 0 (*.f64 (/.f64 1 (sqrt.f64 2)) a2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (.f64 (/.f64 1 (sqrt.f64 2)) a2))) (.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (.f64 (/.f64 1 (sqrt.f64 2)) a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(-.f64 (.f64 0 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))) (*.f64 (/.f64 1 (sqrt.f64 2)) a2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) 1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 a2 a2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (*.f64 (/.f64 1 (sqrt.f64 2)) a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))) (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a2 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (.f64 a2 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (.f64 a2 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))
(/.f64 (.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2)))) (/.f64 (.f64 a2 (.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))) (.f64 a2 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 a2) (/.f64 1 (sqrt.f64 2)))) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (neg.f64 a2) (/.f64 1 (sqrt.f64 2))))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (.f64 (/.f64 1 (sqrt.f64 2)) a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a2) (*.f64 (/.f64 1 (sqrt.f64 2)) a2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2)) (*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 a2 a2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2) -1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))
(neg.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) a2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))
(*.f64 a2 (neg.f64 (/.f64 1 (sqrt.f64 2))))

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2))))
	0.4b	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
	0.5b	(/.f64 a1 (sqrt.f64 2))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 65 to 42 computations (35.4% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))))
	0.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	0.5b	(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 75 to 42 computations (44% saved)

eval388.0ms (3.1%)

Compiler: Compiled 25379 to 17545 computations (30.9% saved)

prune172.0ms (1.4%)

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	769	3	772
Fresh	4	2	6
Picked	0	1	1
Done	1	11	12
Total	774	17	791

Error

0.2b

Counts

791 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.3b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
✓	41.0b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	6.5b	(/.f64 (+.f64 (.f64 (pow.f64 a2 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (pow.f64 a1 2))) (sqrt.f64 2))
✓	27.5b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
	29.5b	(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
✓	0.7b	(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
✓	0.5b	(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))
✓	14.6b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))
✓	14.6b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
	12.7b	(-.f64 (.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 2))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
	26.4b	(-.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
✓	12.7b	(-.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
	14.9b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
✓	0.8b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
✓	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
✓	0.8b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	26.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Compiler

Compiled 333 to 250 computations (24.9% saved)

regimes93.0ms (0.7%)

Counts

26 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(-.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (.f64 a1 (.f64 (/.f64 1 (sqrt.f64 2)) a1)) (.f64 a2 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))))
(-.f64 (.f64 a1 (.f64 (/.f64 1 (sqrt.f64 2)) a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 (neg.f64 a2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(-.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 2))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))))
(/.f64 (+.f64 (.f64 (pow.f64 a2 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (pow.f64 a1 2))) (sqrt.f64 2))

Outputs
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))

Calls

8 calls:

12.0ms	th
12.0ms	a1
12.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
11.0ms	a2
10.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Error	Segments	Branch
0.5b	1	`a1`
0.5b	1	`a2`
0.5b	1	`th`
0.5b	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
0.5b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.5b	1	`(cos.f64 th)`
0.5b	1	`(*.f64 a1 a1)`
0.5b	1	`(*.f64 a2 a2)`

Compiler

Compiled 538 to 330 computations (38.7% saved)

regimes203.0ms (1.6%)

Counts

20 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(-.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (.f64 a1 (.f64 (/.f64 1 (sqrt.f64 2)) a1)) (.f64 a2 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))))
(-.f64 (.f64 a1 (.f64 (/.f64 1 (sqrt.f64 2)) a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 (neg.f64 a2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(-.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 2))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Outputs
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))

Calls

8 calls:

83.0ms	(cos.f64 th)
59.0ms	a1
12.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
11.0ms	a2
9.0ms	th

Results

Error	Segments	Branch
0.7b	1	`a1`
0.7b	1	`a2`
0.7b	1	`th`
0.7b	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
0.7b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.7b	1	`(cos.f64 th)`
0.7b	1	`(*.f64 a1 a1)`
0.7b	1	`(*.f64 a2 a2)`

Compiler

Compiled 357 to 232 computations (35% saved)

regimes62.0ms (0.5%)

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(-.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (.f64 a1 (.f64 (/.f64 1 (sqrt.f64 2)) a1)) (.f64 a2 (.f64 (/.f64 1 (sqrt.f64 2)) (neg.f64 a2))))
(-.f64 (.f64 a1 (.f64 (/.f64 1 (sqrt.f64 2)) a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 (neg.f64 a2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(-.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 2))) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (*.f64 a1 (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 a1))))

Outputs
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

7 calls:

11.0ms	th
11.0ms	(cos.f64 th)
10.0ms	a1
8.0ms	a2
7.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Error	Segments	Branch
0.8b	1	`a1`
0.8b	1	`a2`
0.8b	1	`th`
0.8b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.8b	1	`(cos.f64 th)`
0.8b	1	`(*.f64 a1 a1)`
0.8b	1	`(*.f64 a2 a2)`

Compiler

Compiled 284 to 189 computations (33.5% saved)

regimes18.0ms (0.1%)

Accuracy

Total -29.6b remaining (-112.1%)

Threshold costs -29.6b (-112.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))

Outputs
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

5 calls:

6.0ms	a2
3.0ms	th
3.0ms	a1
2.0ms	(*.f64 a2 a2)
2.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
26.4b	1	`a1`
26.4b	1	`a2`
26.4b	1	`th`
26.4b	1	`(*.f64 a1 a1)`
26.4b	1	`(*.f64 a2 a2)`

Compiler

Compiled 51 to 38 computations (25.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	176

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Outputs
(-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 a1 (neg.f64 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Compiler

Compiled 70 to 51 computations (27.1% saved)

soundness257.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1614×	`rational_best_oopsla_all_46_json_45_simplify-89`
1514×	`rational_best_oopsla_all_46_json_45_simplify-13`
1282×	`rational_best_oopsla_all_46_json_45_simplify-24`
1266×	`rational_best_oopsla_all_46_json_45_simplify-74`
1066×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	499	13009
1	1854	12777
2	6479	12777
0	196	5230
1	602	5014
2	2249	5014
3	5535	5014

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 108 to 64 computations (40.7% saved)

end124.0ms (1%)

Compiler: Compiled 107 to 68 computations (36.4% saved)