Details

analyze559.0ms (2.8%)

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)

sample6.0s (30.1%)

Results

1.7s	5476×	body	256	valid
1.3s	1847×	body	1024	valid
1.3s	1618×	body	1024	infinite
647.0ms	838×	body	512	infinite
643.0ms	932×	body	512	valid
312.0ms	1548×	body	256	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess7.0ms (0%)

Algorithm

2×	egg-herbie

Rules

42×	`rational_best-simplify-2`
12×	`rational_best-simplify-1`
12×	`rational_best-simplify-51`
12×	`rational_best-simplify-44`
6×	`rational_best-simplify-85`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	236
1	50	156
2	74	156
3	80	156
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`rational_best-simplify-2`
4×	`rational_best-simplify-22`
4×	`rational_best-simplify-1`
4×	`rational_best-simplify-51`
4×	`rational_best-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	24	39
2	32	39
3	34	39

Stop Event

1×

saturated

Counts

1 → 3

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 a2 a2) (*.f64 a1 a1)))

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

eval1.0ms (0%)

Compiler: Compiled 48 to 25 computations (47.9% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

0.4b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Compiler

Compiled 16 to 11 computations (31.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 th)
✓	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series87.0ms (0.4%)

Counts

4 → 68

Calls

21 calls:

Time	Variable		Point	Expression
79.0ms	a1	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	a2	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`rational_best-simplify-51`
1032×	`rational_best-simplify-2`
934×	`rational_best-1`
930×	`rational_best-2`
928×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	78
1	90	78
2	143	78
3	220	78
4	423	78
5	926	78
6	2533	78

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

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

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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 0 (.f64 (sqrt.f64 2) -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 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 (cos.f64 th) -2) (sqrt.f64 2)) (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 0 (/.f64 0 (.f64 (neg.f64 (sqrt.f64 2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) -2)) (/.f64 0 (.f64 (neg.f64 (sqrt.f64 2)) -2))))))) (#(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) (neg.f64 (sqrt.f64 2))) (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) -2)) (/.f64 (.f64 (cos.f64 th) -2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (cos.f64 th) -2) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (.f64 (sqrt.f64 2) -2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (cos.f64 th) 3) (neg.f64 (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (cos.f64 th) 3) (neg.f64 (sqrt.f64 2))) (-.f64 0 (/.f64 (.f64 (cos.f64 th) 4) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (cos.f64 th) 3) (neg.f64 (sqrt.f64 2))) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) -2)) (/.f64 (.f64 (cos.f64 th) 4) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (.f64 2 (neg.f64 (sqrt.f64 2)))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (.f64 (neg.f64 (sqrt.f64 2)) -2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (/.f64 (.f64 (cos.f64 th) -2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) -2)) (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (-.f64 (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (-.f64 (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 0 (.f64 (sqrt.f64 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 0 (.f64 (neg.f64 (sqrt.f64 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 0 (/.f64 0 (.f64 (sqrt.f64 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (/.f64 0 (.f64 (neg.f64 (sqrt.f64 2)) -2)) (/.f64 0 (.f64 (sqrt.f64 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) -2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (/.f64 0 (.f64 (sqrt.f64 2) -2)) (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (-.f64 (/.f64 (.f64 (cos.f64 th) -2) (sqrt.f64 2)) (/.f64 0 (.f64 (sqrt.f64 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (cos.f64 th) -2) (sqrt.f64 2)) (/.f64 (.f64 (cos.f64 th) 3) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (.f64 (sqrt.f64 2) -2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (cos.f64 th) 3) (neg.f64 (sqrt.f64 2))) (/.f64 (.f64 (cos.f64 th) 4) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (cos.f64 th) 3) (neg.f64 (sqrt.f64 2))) (-.f64 (/.f64 (.f64 (cos.f64 th) 4) (neg.f64 (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (.f64 2 (neg.f64 (sqrt.f64 2)))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (.f64 (neg.f64 (sqrt.f64 2)) -2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 4) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (-.f64 (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)) (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 4) (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (-.f64 (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) (/.f64 0 (.f64 (sqrt.f64 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))) (/.f64 (.f64 (cos.f64 th) 3) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (/.f64 2 (.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (-.f64 0 (-.f64 0 (/.f64 1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (+.f64 (/.f64 1 (.f64 2 (sqrt.f64 2))) (/.f64 1 (.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (+.f64 (/.f64 2 (sqrt.f64 2)) (neg.f64 (/.f64 1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (.f64 2 (neg.f64 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (neg.f64 (.f64 2 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (+.f64 (/.f64 2 (sqrt.f64 2)) (-.f64 0 (/.f64 1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (+.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (cos.f64 th) (.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (/.f64 (.f64 (cos.f64 th) 1/2) (sqrt.f64 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (.f64 2 (neg.f64 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (neg.f64 (.f64 2 (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 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (cos.f64 th) (.f64 2 (sqrt.f64 2))) (/.f64 (cos.f64 th) (.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 th)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 th)) (neg.f64 (/.f64 1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 th)) (+.f64 (/.f64 1 (sqrt.f64 2)) (.f64 2 (/.f64 -1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 2) (/.f64 1 (.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 2) (.f64 (/.f64 1 (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 2) (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 2) (+.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 2 (neg.f64 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 2) (+.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (neg.f64 (.f64 2 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (/.f64 (neg.f64 (cos.f64 th)) (.f64 2 (sqrt.f64 2))) (/.f64 (neg.f64 (cos.f64 th)) (.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 1/2) (/.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) -2) (/.f64 1 (.f64 (sqrt.f64 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) -2) (/.f64 1 (neg.f64 (.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 th) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (.f64 2 (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 2 (sqrt.f64 2))) (.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sqrt.f64 2)) (.f64 (cos.f64 th) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (.f64 (cos.f64 th) 1/2) (sqrt.f64 2)) 0) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 1 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (sqrt.f64 2)) 1/2) (.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 2 (sqrt.f64 2))) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (sqrt.f64 2) -2)) (.f64 (cos.f64 th) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (+.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (.f64 2 (sqrt.f64 2)))) (.f64 (cos.f64 th) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 (.f64 2 (sqrt.f64 2)))) (.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 0 (-.f64 0 (/.f64 1 (sqrt.f64 2)))) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (sqrt.f64 2) 4)) (.f64 (cos.f64 th) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (.f64 2 (sqrt.f64 2)) -2)) (+.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 th) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 th) (.f64 0 (-.f64 0 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 th)) (.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) 2) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) 4) (.f64 (neg.f64 (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (cos.f64 th)) 3) (-.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (cos.f64 th)) 3) (-.f64 0 (neg.f64 (.f64 (cos.f64 th) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (cos.f64 th) 4)) (+.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (-.f64 0 (sin.f64 th))) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) (cos.f64 (neg.f64 (+.f64 th th)))) (.f64 (sin.f64 (neg.f64 (+.f64 th th))) (-.f64 0 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 th) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 th)) (.f64 (cos.f64 th) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) 2) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) -2) (.f64 (neg.f64 (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (neg.f64 (cos.f64 th)) 3) (neg.f64 (.f64 (cos.f64 th) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (neg.f64 (cos.f64 th)) 3) (-.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 4)) (+.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 th) (cos.f64 (neg.f64 (.f64 1/2 (PI.f64))))) (.f64 (cos.f64 th) (sin.f64 (neg.f64 (.f64 1/2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (neg.f64 (cos.f64 th)) (cos.f64 (neg.f64 (PI.f64)))) (.f64 (sin.f64 th) (sin.f64 (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (sin.f64 th)) (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 0 (sin.f64 th)) (cos.f64 (neg.f64 (.f64 1/2 (PI.f64))))) (.f64 (cos.f64 th) (sin.f64 (neg.f64 (.f64 1/2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (neg.f64 (cos.f64 th)) (cos.f64 (neg.f64 (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) th))))) (.f64 (sin.f64 th) (sin.f64 (neg.f64 (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) th))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 th) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 (cos.f64 th) 1/2) (.f64 (cos.f64 th) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (/.f64 (cos.f64 th) -2) (/.f64 (cos.f64 th) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (.f64 (cos.f64 th) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (cos.f64 th) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/4 (+.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (.f64 1/2 (PI.f64)) th))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 th (.f64 1/2 (PI.f64))))))))

simplify235.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1256×	`rational_best-simplify-1`
1160×	`rational_best-simplify-2`
984×	`rational_best-simplify-39`
610×	`rational_best-simplify-55`
508×	`rational_best-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	373	4965
1	672	4917
2	1752	4917
3	4016	4911
4	5972	4911
5	7110	4911
6	7951	4911

Stop Event

1×	node limit

Counts

231 → 235

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 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)))
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(/.f64 (*.f64 (cos.f64 th) -2) -2)
(pow.f64 (cos.f64 th) 1)
(neg.f64 (neg.f64 (cos.f64 th)))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) th))
(sin.f64 (+.f64 th (*.f64 1/2 (PI.f64))))

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 (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 th 2) (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 -1/720 (/.f64 (pow.f64 th 6) (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 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (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 (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))
(+.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 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 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 (/.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 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (+.f64 (.f64 1/24 (.f64 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.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 (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 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/720 (.f64 (pow.f64 th 6) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (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 a1 2)) (/.f64 (pow.f64 th 6) (sqrt.f64 2))))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (+.f64 (.f64 1/24 (.f64 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (.f64 -1/720 (.f64 (pow.f64 th 6) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (cos.f64 th))
(+.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)))
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(.f64 4 (.f64 (cos.f64 th) (/.f64 1 (*.f64 (sqrt.f64 2) 4))))
(.f64 4 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 2) 4)))
(/.f64 (.f64 4 (cos.f64 th)) (.f64 (sqrt.f64 2) 4))
(.f64 (/.f64 1 (.f64 (.f64 2 (sqrt.f64 2)) -2)) (+.f64 (.f64 (cos.f64 th) -2) (*.f64 (cos.f64 th) -2)))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 0)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 0 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(-.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 0)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 0)
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(-.f64 0 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 1)
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 1 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) -1)
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) -1)
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(pow.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 1)
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(neg.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fabs.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+.f64 (cos.f64 th) 0)
(cos.f64 th)
(+.f64 (cos.f64 th) (*.f64 0 (-.f64 0 (sin.f64 th))))
(cos.f64 th)
(+.f64 0 (cos.f64 th))
(cos.f64 th)
(+.f64 (neg.f64 (cos.f64 th)) (*.f64 (cos.f64 th) 2))
(cos.f64 th)
(+.f64 (*.f64 (cos.f64 th) 2) (neg.f64 (cos.f64 th)))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) 4) (.f64 (neg.f64 (cos.f64 th)) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) -2))
(cos.f64 th)
(+.f64 (.f64 (neg.f64 (cos.f64 th)) 3) (-.f64 (.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) -2)))
(cos.f64 th)
(+.f64 (.f64 (neg.f64 (cos.f64 th)) 3) (-.f64 0 (neg.f64 (.f64 (cos.f64 th) 4))))
(cos.f64 th)
(+.f64 (neg.f64 (.f64 (cos.f64 th) 4)) (+.f64 (.f64 (cos.f64 th) 3) (*.f64 (cos.f64 th) 2)))
(cos.f64 th)
(+.f64 (*.f64 0 (-.f64 0 (sin.f64 th))) (cos.f64 th))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) (cos.f64 (neg.f64 (+.f64 th th)))) (.f64 (sin.f64 (neg.f64 (+.f64 th th))) (-.f64 0 (sin.f64 th))))
(+.f64 (.f64 (cos.f64 th) (cos.f64 (neg.f64 (+.f64 th th)))) (.f64 (neg.f64 (sin.f64 th)) (sin.f64 (neg.f64 (+.f64 th th)))))
(-.f64 (cos.f64 th) 0)
(cos.f64 th)
(-.f64 0 (neg.f64 (cos.f64 th)))
(cos.f64 th)
(-.f64 (neg.f64 (cos.f64 th)) (*.f64 (cos.f64 th) -2))
(cos.f64 th)
(-.f64 (*.f64 (cos.f64 th) 2) (cos.f64 th))
(cos.f64 th)
(-.f64 (.f64 (cos.f64 th) -2) (.f64 (neg.f64 (cos.f64 th)) 3))
(cos.f64 th)
(-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2))
(cos.f64 th)
(-.f64 (.f64 (neg.f64 (cos.f64 th)) 3) (neg.f64 (.f64 (cos.f64 th) 4)))
(cos.f64 th)
(-.f64 (.f64 (neg.f64 (cos.f64 th)) 3) (-.f64 (.f64 (cos.f64 th) -2) (*.f64 (cos.f64 th) 2)))
(cos.f64 th)
(-.f64 (+.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 4)) (+.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)))
(cos.f64 th)
(-.f64 (.f64 (sin.f64 th) (cos.f64 (neg.f64 (.f64 1/2 (PI.f64))))) (.f64 (cos.f64 th) (sin.f64 (neg.f64 (.f64 1/2 (PI.f64))))))
(-.f64 (.f64 (sin.f64 th) (cos.f64 (.f64 (PI.f64) -1/2))) (.f64 (cos.f64 th) (sin.f64 (.f64 (PI.f64) -1/2))))
(-.f64 (.f64 (sin.f64 th) (cos.f64 (.f64 -1/2 (PI.f64)))) (.f64 (cos.f64 th) (sin.f64 (.f64 -1/2 (PI.f64)))))
(-.f64 (.f64 (neg.f64 (cos.f64 th)) (cos.f64 (neg.f64 (PI.f64)))) (.f64 (sin.f64 th) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (.f64 (cos.f64 th) (neg.f64 (cos.f64 (neg.f64 (PI.f64))))) (.f64 (sin.f64 th) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (.f64 (cos.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (sin.f64 th)) (.f64 (sin.f64 (neg.f64 (.f64 1/2 (PI.f64)))) (cos.f64 th)))
(-.f64 (.f64 (sin.f64 th) (cos.f64 (neg.f64 (.f64 1/2 (PI.f64))))) (.f64 (cos.f64 th) (sin.f64 (neg.f64 (.f64 1/2 (PI.f64))))))
(-.f64 (.f64 (sin.f64 th) (cos.f64 (.f64 (PI.f64) -1/2))) (.f64 (cos.f64 th) (sin.f64 (.f64 (PI.f64) -1/2))))
(-.f64 (.f64 (sin.f64 th) (cos.f64 (.f64 -1/2 (PI.f64)))) (.f64 (cos.f64 th) (sin.f64 (.f64 -1/2 (PI.f64)))))
(-.f64 (.f64 (-.f64 0 (sin.f64 th)) (cos.f64 (neg.f64 (.f64 1/2 (PI.f64))))) (.f64 (cos.f64 th) (sin.f64 (neg.f64 (.f64 1/2 (PI.f64))))))
(-.f64 (.f64 (neg.f64 (sin.f64 th)) (cos.f64 (neg.f64 (.f64 1/2 (PI.f64))))) (.f64 (cos.f64 th) (sin.f64 (neg.f64 (.f64 1/2 (PI.f64))))))
(-.f64 (.f64 (neg.f64 (sin.f64 th)) (cos.f64 (.f64 (PI.f64) -1/2))) (.f64 (cos.f64 th) (sin.f64 (.f64 (PI.f64) -1/2))))
(-.f64 (.f64 (neg.f64 (sin.f64 th)) (cos.f64 (.f64 -1/2 (PI.f64)))) (.f64 (cos.f64 th) (sin.f64 (.f64 -1/2 (PI.f64)))))
(-.f64 (.f64 (neg.f64 (cos.f64 th)) (cos.f64 (neg.f64 (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) th))))) (.f64 (sin.f64 th) (sin.f64 (neg.f64 (.f64 2 (-.f64 (.f64 1/2 (PI.f64)) th))))))
(-.f64 (.f64 (neg.f64 (cos.f64 th)) (cos.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) th) -2))) (.f64 (sin.f64 th) (sin.f64 (.f64 (-.f64 (.f64 1/2 (PI.f64)) th) -2))))
(-.f64 (.f64 (cos.f64 th) (neg.f64 (cos.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) th))))) (.f64 (sin.f64 th) (sin.f64 (.f64 -2 (-.f64 (.f64 1/2 (PI.f64)) th)))))
(-.f64 (.f64 (cos.f64 th) (neg.f64 (cos.f64 (.f64 2 (-.f64 th (.f64 1/2 (PI.f64))))))) (.f64 (sin.f64 th) (sin.f64 (.f64 2 (-.f64 th (.f64 1/2 (PI.f64)))))))
(*.f64 (cos.f64 th) 1)
(cos.f64 th)
(.f64 2 (.f64 (cos.f64 th) 1/2))
(cos.f64 th)
(*.f64 1 (cos.f64 th))
(cos.f64 th)
(.f64 1 (+.f64 (.f64 (cos.f64 th) 1/2) (*.f64 (cos.f64 th) 1/2)))
(cos.f64 th)
(*.f64 (neg.f64 (cos.f64 th)) -1)
(cos.f64 th)
(.f64 (.f64 (cos.f64 th) 2) 1/2)
(cos.f64 th)
(*.f64 -1 (neg.f64 (cos.f64 th)))
(cos.f64 th)
(*.f64 -1 (+.f64 (/.f64 (cos.f64 th) -2) (/.f64 (cos.f64 th) -2)))
(cos.f64 th)
(.f64 (.f64 (cos.f64 th) 1/2) 2)
(cos.f64 th)
(.f64 (.f64 (cos.f64 th) -2) -1/2)
(cos.f64 th)
(.f64 1/2 (.f64 (cos.f64 th) 2))
(cos.f64 th)
(.f64 -1/2 (.f64 (cos.f64 th) -2))
(cos.f64 th)
(.f64 1/4 (.f64 (cos.f64 th) 4))
(cos.f64 th)
(.f64 -1/4 (+.f64 (.f64 (cos.f64 th) -2) (*.f64 (cos.f64 th) -2)))
(.f64 (+.f64 (.f64 (cos.f64 th) -2) (*.f64 (cos.f64 th) -2)) -1/4)
(.f64 (.f64 (cos.f64 th) -4) -1/4)
(/.f64 (cos.f64 th) 1)
(cos.f64 th)
(/.f64 (neg.f64 (cos.f64 th)) -1)
(cos.f64 th)
(/.f64 (*.f64 (cos.f64 th) 2) 2)
(cos.f64 th)
(/.f64 (*.f64 (cos.f64 th) -2) -2)
(cos.f64 th)
(pow.f64 (cos.f64 th) 1)
(cos.f64 th)
(neg.f64 (neg.f64 (cos.f64 th)))
(cos.f64 th)
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) th))
(sin.f64 (+.f64 th (*.f64 1/2 (PI.f64))))

eval144.0ms (0.7%)

Compiler: Compiled 5198 to 2930 computations (43.6% saved)

prune118.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	228	7	235
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	228	8	236

Error

0.2b

Counts

236 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
▶	0.6b	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	0.5b	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	24.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(.f64 (-.f64 (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(.f64 (+.f64 (/.f64 (.f64 (cos.f64 th) -2) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))

Compiler

Compiled 306 to 217 computations (29.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 th)
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	0.1b	(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))

Compiler

Compiled 47 to 14 computations (70.2% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`rational_best-simplify-2`
1032×	`rational_best-2`
1032×	`rational_best-1`
1030×	`rational_best-4`
1030×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	92	68
2	155	68
3	244	68
4	462	68
5	1061	68
6	2913	68

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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

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

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

simplify235.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1450×	`rational_best-simplify-2`
1254×	`rational_best-simplify-1`
860×	`rational_best-simplify-50`
836×	`rational_best-simplify-51`
812×	`rational_best-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	162	4949
1	309	4949
2	543	4901
3	958	4877
4	2110	4797
5	4715	4797
6	6390	4797
7	7885	4797

Stop Event

1×	node limit

Counts

127 → 114

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	0.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 38 to 19 computations (50% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a2	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
0.0ms	a2	@	0	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
0.0ms	a1	@	0	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
0.0ms	a1	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
0.0ms	a1	@	-inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1310×	`rational_best-1`
1288×	`rational_best-2`
1284×	`rational_best-3`
1268×	`rational_best-4`
1198×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	83	46
2	119	40
3	137	40
4	162	40
5	221	40
6	354	40
7	721	40
8	2263	40
9	4168	40
10	6347	40

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))) (+.f64 -1 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 -1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -4) (+.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))) (+.f64 1 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2))) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) -2))) (neg.f64 (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -4) (-.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -4) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -4) (neg.f64 (+.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -4) (+.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2)) 2) (+.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3) 2) (neg.f64 (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3) 2) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4) 2) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 2 (*.f64 a2 a2))) 2) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 a2) (+.f64 (*.f64 a1 a1) (*.f64 2 (*.f64 a2 a2)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 2 (*.f64 a1 a1))) 2) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a1 a1) (+.f64 (*.f64 a2 a2) (*.f64 2 (*.f64 a1 a1)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 2 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (/.f64 (+.f64 (*.f64 a1 a1) (+.f64 (*.f64 a2 a2) (*.f64 2 (*.f64 a1 a1)))) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 2 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))) (/.f64 (+.f64 (*.f64 a2 a2) (+.f64 (*.f64 a1 a1) (*.f64 2 (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 1 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (+.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))))))

simplify272.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1464×	`rational_best-simplify-55`
1188×	`rational_best-simplify-2`
1090×	`rational_best-simplify-1`
950×	`rational_best-simplify-47`
894×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	2488
1	280	2480
2	494	2456
3	900	2456
4	2167	2456
5	3897	2456
6	6321	2456
7	6975	2456
8	7324	2456
9	7503	2456
10	7583	2456

Stop Event

1×	node limit

Counts

88 → 82

Calls

Call 1

Inputs
(/.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)))
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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 (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 0 (/.f64 1 (sqrt.f64 2)))
(+.f64 (/.f64 1 (sqrt.f64 2)) 0)
(-.f64 0 (/.f64 -1 (sqrt.f64 2)))
(-.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -2 (sqrt.f64 2)))
(-.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(-.f64 (/.f64 1 (sqrt.f64 2)) 0)
(-.f64 (/.f64 -2 (sqrt.f64 2)) (+.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -2 (sqrt.f64 2))))
(-.f64 (/.f64 -2 (sqrt.f64 2)) (neg.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) 3)))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 4) (.f64 (/.f64 1 (sqrt.f64 2)) 3))
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) 4) (neg.f64 (+.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -2 (sqrt.f64 2)))))
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) 3) (/.f64 2 (sqrt.f64 2)))
(-.f64 (*.f64 2 (/.f64 -2 (sqrt.f64 2))) (+.f64 (/.f64 -2 (sqrt.f64 2)) (+.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -2 (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 4) (.f64 (/.f64 1 (sqrt.f64 2)) 4)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 4) (.f64 (/.f64 1 (sqrt.f64 2)) 3)))
(-.f64 (+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 3) (.f64 (/.f64 1 (sqrt.f64 2)) 3)) (+.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) 3)))
(*.f64 1 (/.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)) 1)
(pow.f64 (/.f64 1 (sqrt.f64 2)) 1)
(neg.f64 (/.f64 -1 (sqrt.f64 2)))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 -1 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4))
(+.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))) (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))
(+.f64 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))
(+.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) -1)
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4) (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2))))
(+.f64 (+.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))) (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))
(+.f64 (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))
(+.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -4))
(+.f64 (/.f64 (+.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2))) (neg.f64 (sqrt.f64 2))) 0)
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 0)
(-.f64 0 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4))
(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4) (neg.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4) (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3)))
(-.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2)) 2) (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2))))
(-.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3) 2) (neg.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2)))))
(-.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3) 2) (+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4)))
(-.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) 2) (+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 2) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 2 (.f64 a1 a1))) 2) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 2 (.f64 a1 a1)))) (sqrt.f64 2)))
(-.f64 (/.f64 (.f64 2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 2 (.f64 a1 a1)))) (neg.f64 (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 2 (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (neg.f64 (sqrt.f64 2))))
(-.f64 (+.f64 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (+.f64 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)
(/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) -1)
(pow.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))

Outputs
(/.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 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 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 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 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 (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 (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 (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 (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 (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 (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 (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 (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 (pow.f64 a1 2) (sqrt.f64 2))
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(+.f64 (/.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 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 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(/.f64 1 (sqrt.f64 2))
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(-.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -2 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 1 (sqrt.f64 2)) 0)
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 -2 (sqrt.f64 2)) (+.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -2 (sqrt.f64 2))))
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 -2 (sqrt.f64 2)) (neg.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) 3)))
(/.f64 1 (sqrt.f64 2))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 4) (.f64 (/.f64 1 (sqrt.f64 2)) 3))
(/.f64 1 (sqrt.f64 2))
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) 4) (neg.f64 (+.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -2 (sqrt.f64 2)))))
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(/.f64 1 (sqrt.f64 2))
(-.f64 (+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 4) (.f64 (/.f64 1 (sqrt.f64 2)) 4)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 4) (.f64 (/.f64 1 (sqrt.f64 2)) 3)))
(/.f64 1 (sqrt.f64 2))
(-.f64 (+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 3) (.f64 (/.f64 1 (sqrt.f64 2)) 3)) (+.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) 3)))
(/.f64 1 (sqrt.f64 2))
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(*.f64 -1 (/.f64 -1 (sqrt.f64 2)))
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(*.f64 (/.f64 -1 (sqrt.f64 2)) -1)
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(*.f64 (/.f64 1 (sqrt.f64 2)) 1)
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(neg.f64 (/.f64 -1 (sqrt.f64 2)))
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(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 0)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 0 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 -1 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))) (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) -1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4) (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))) (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -4))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (+.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2))) (neg.f64 (sqrt.f64 2))) 0)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 0)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 0 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4) (neg.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4) (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2)) 2) (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3) 2) (neg.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3) 2) (+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) 2) (+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 2) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 (*.f64 2 a2))))) (sqrt.f64 2))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 2 (.f64 a1 a1))) 2) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 2 (.f64 a1 a1)))) (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 2 a1)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 2 a1))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 2)))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 (.f64 a1 2)) (.f64 a1 a1)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (*.f64 a1 2) a1)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 (*.f64 a1 2))))) (sqrt.f64 2))
(-.f64 (/.f64 (.f64 2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 2 (.f64 a1 a1)))) (neg.f64 (sqrt.f64 2))))
(/.f64 (-.f64 (.f64 a1 (.f64 2 a1)) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 2 a1))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 (.f64 a1 2)) (.f64 a1 a1))) (.f64 a1 (.f64 a1 2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (.f64 a1 2) a1))) (.f64 a1 (*.f64 a1 2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 a1 (.f64 a1 2)))) (.f64 a1 (*.f64 a1 2))) (sqrt.f64 2))
(-.f64 (/.f64 (.f64 2 (.f64 a2 a2)) (neg.f64 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (neg.f64 (sqrt.f64 2))))
(/.f64 (-.f64 (.f64 2 (.f64 a2 a2)) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (.f64 2 (.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 (.f64 2 a2)))) (.f64 2 (*.f64 a2 a2))) (sqrt.f64 2))
(-.f64 (+.f64 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (+.f64 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) -1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(pow.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 th)
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	0.1b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
✓	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))

Compiler

Compiled 47 to 17 computations (63.8% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`rational_best-1`
1196×	`rational_best-2`
1194×	`rational_best-3`
1192×	`rational_best-4`
1172×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	90	68
2	143	68
3	216	68
4	381	68
5	779	68
6	1981	68
7	6289	68

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -2) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -2) (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -2) (-.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -2) (neg.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -2) (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))))))

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

simplify295.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1464×	`rational_best-simplify-53`
1336×	`rational_best-simplify-47`
1262×	`rational_best-simplify-2`
1130×	`rational_best-simplify-52`
1124×	`rational_best-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	111	3513
1	177	3513
2	282	3513
3	517	3513
4	1323	3445
5	3648	3445
6	5598	3445
7	6121	3445
8	6320	3445
9	6410	3445
10	6483	3445

Stop Event

1×	node limit

Counts

95 → 78

Calls

Call 1

Inputs
(/.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)))
(+.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)))
(+.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)))
(+.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 (+.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 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 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2) (-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1) -1)
(+.f64 (-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 0)
(-.f64 0 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -2))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2) (-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2))))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2) (neg.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3)))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2) (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2)))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1)
(.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 -1 (sqrt.f64 2)))
(.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) -1)
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(pow.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)

Outputs
(/.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 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 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 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 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 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 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 a1 2) (sqrt.f64 2)) (/.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 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 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 a1 2) (sqrt.f64 2)) (/.f64 (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 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (/.f64 (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 (/.f64 (pow.f64 th 2) (sqrt.f64 2)) (.f64 -1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (/.f64 (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 (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (pow.f64 th 4) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (/.f64 (pow.f64 th 2) (sqrt.f64 2)) (.f64 -1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (*.f64 1/24 (pow.f64 th 4))))))
(+.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 (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 -1/720 (.f64 (pow.f64 th 6) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))) (.f64 -1/720 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))
(+.f64 (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))))) (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 th 2) (sqrt.f64 2)) (.f64 -1/2 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))))) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))))
(+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))))) (.f64 (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6)))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (.f64 (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 1/24 (pow.f64 th 4)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (cos.f64 th))
(+.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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (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 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 0)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 0 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2) (-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1) -1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 0)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 0 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2) (-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2) (neg.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2) (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) -1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(pow.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 0 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 th) 3)
✓	0.4b	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	0.4b	(-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2))
✓	0.7b	(/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (sqrt.f64 2))

Compiler

Compiled 74 to 37 computations (50% saved)

series98.0ms (0.5%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
91.0ms	th	@	0	(/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (sqrt.f64 2))
1.0ms	th	@	inf	(/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (sqrt.f64 2))
1.0ms	a2	@	0	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	-inf	(/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (sqrt.f64 2))
1.0ms	a1	@	0	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

rewrite113.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1430×	`rational_best-1`
1422×	`rational_best-2`
1420×	`rational_best-3`
1410×	`rational_best-4`
1358×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	88
1	121	70
2	214	70
3	389	70
4	892	70
5	2710	70
6	6021	70

Stop Event

1×	node limit

Counts

4 → 227

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (sqrt.f64 2))
(-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) 3)

Outputs
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0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (-.f64 2 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 th) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 th)) (neg.f64 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (cos.f64 th) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 0)) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (.f64 (cos.f64 th) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 2 (cos.f64 0)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (neg.f64 th)) (neg.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 th) 1/2) (+.f64 1 (cos.f64 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (neg.f64 (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (/.f64 -1 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (-.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (.f64 3 (/.f64 1 (sqrt.f64 2)))) (+.f64 (/.f64 3 (sqrt.f64 2)) (.f64 3 (/.f64 1 (sqrt.f64 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (-.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 3 (sqrt.f64 2))) (.f64 2 (/.f64 3 (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (-.f64 (/.f64 3 (neg.f64 (sqrt.f64 2))) (/.f64 2 (neg.f64 (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 th) (.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) 2) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 th)) (.f64 (cos.f64 th) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) 6) (.f64 (cos.f64 th) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) 5) (.f64 (cos.f64 th) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) -3) (.f64 (cos.f64 th) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) 4) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (cos.f64 th)) 4) (+.f64 (cos.f64 th) (.f64 (cos.f64 th) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) -5) (.f64 (.f64 (cos.f64 th) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 th) 4) 2) (.f64 (cos.f64 th) -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) 5) 2)) (+.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) 11)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 th) 6) (neg.f64 (cos.f64 th))) (+.f64 (cos.f64 th) (.f64 (cos.f64 th) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 12)) (+.f64 (cos.f64 th) (.f64 (cos.f64 th) 11)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 th) (.f64 (cos.f64 th) 6)) (.f64 (neg.f64 (cos.f64 th)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) 11)) (neg.f64 (.f64 (.f64 (cos.f64 th) 5) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 th) (.f64 (cos.f64 th) -5)) (-.f64 (.f64 (cos.f64 th) 6) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 th) (.f64 (cos.f64 th) 11)) (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 th) (.f64 (cos.f64 th) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) 2) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (cos.f64 th) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) 6) (.f64 (cos.f64 th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) 5) (.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) -5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) 4) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) 12) (+.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (cos.f64 th) 4) 2) (.f64 (cos.f64 th) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (cos.f64 th) 5) 2) (+.f64 (cos.f64 th) (.f64 (cos.f64 th) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 th) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (cos.f64 th) -3))))))

simplify220.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1454×	`rational_best-simplify-2`
936×	`rational_best-simplify-43`
614×	`rational_best-simplify-44`
552×	`rational_best-simplify-40`
506×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	489	10927
1	867	6517
2	2133	6441
3	5756	6435
4	7426	6435

Stop Event

1×	node limit

Counts

299 → 334

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 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (pow.f64 th 2)))))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(/.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)))))
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(*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) 2) (+.f64 (-.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) (cos.f64 th)) (-.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) (cos.f64 th))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) 2) (+.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) (.f64 (cos.f64 th) -3)) (-.f64 (neg.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) (*.f64 (cos.f64 th) -3))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) 2) (+.f64 (-.f64 (.f64 (cos.f64 th) 3) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))) (-.f64 (*.f64 (cos.f64 th) 3) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))))))
(.f64 (/.f64 (.f64 2 (/.f64 1 (sqrt.f64 2))) 2) (cos.f64 th))
(.f64 (-.f64 (.f64 2 (/.f64 3 (sqrt.f64 2))) (+.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 3 (/.f64 1 (sqrt.f64 2))))) (cos.f64 th))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) -2) (.f64 (cos.f64 th) -2))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) -2) (+.f64 (-.f64 (.f64 (cos.f64 th) -3) (neg.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))))) (-.f64 (*.f64 (cos.f64 th) -3) (neg.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) -2) (+.f64 (-.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) (.f64 (cos.f64 th) 3)) (-.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) (*.f64 (cos.f64 th) 3))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) 4) (.f64 (cos.f64 th) 4))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) 4) (+.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th)))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) -4) (.f64 (neg.f64 (cos.f64 th)) 4))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(+.f64 (cos.f64 th) 0)
(+.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) -2))
(+.f64 (*.f64 (cos.f64 th) 2) (neg.f64 (cos.f64 th)))
(+.f64 0 (cos.f64 th))
(+.f64 (neg.f64 (cos.f64 th)) (*.f64 (cos.f64 th) 2))
(+.f64 (.f64 (cos.f64 th) 6) (.f64 (cos.f64 th) -5))
(+.f64 (.f64 (cos.f64 th) 5) (.f64 (neg.f64 (cos.f64 th)) 4))
(+.f64 (.f64 (cos.f64 th) 5) (+.f64 (.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) -6)))
(+.f64 (.f64 (cos.f64 th) 5) (+.f64 (neg.f64 (cos.f64 th)) (.f64 (cos.f64 th) -3)))
(+.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) 3))
(+.f64 (.f64 (cos.f64 th) -3) (.f64 (cos.f64 th) 4))
(+.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) -3))
(+.f64 (.f64 (neg.f64 (cos.f64 th)) 4) (.f64 (cos.f64 th) 5))
(+.f64 (.f64 (cos.f64 th) -6) (-.f64 (.f64 (cos.f64 th) 6) (neg.f64 (cos.f64 th))))
(+.f64 (.f64 (cos.f64 th) -6) (+.f64 (cos.f64 th) (.f64 (cos.f64 th) 6)))
(+.f64 (.f64 (cos.f64 th) 1/2) (.f64 (cos.f64 th) 1/2))
(+.f64 (.f64 (cos.f64 th) -5) (.f64 (cos.f64 th) 6))
(+.f64 (.f64 (cos.f64 th) 11) (neg.f64 (.f64 (*.f64 (cos.f64 th) 5) 2)))
(+.f64 (neg.f64 (.f64 (.f64 (neg.f64 (cos.f64 th)) 4) 2)) (+.f64 (.f64 (cos.f64 th) -3) (.f64 (neg.f64 (cos.f64 th)) 4)))
(+.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) 5) 2)) (*.f64 (cos.f64 th) 11))
(+.f64 (neg.f64 (.f64 (cos.f64 th) 12)) (+.f64 (.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) 11)))
(+.f64 (.f64 (.f64 (cos.f64 th) 5) 2) (+.f64 (.f64 (neg.f64 (cos.f64 th)) 4) (.f64 (cos.f64 th) -5)))
(+.f64 (-.f64 (.f64 (cos.f64 th) 6) (neg.f64 (cos.f64 th))) (.f64 (cos.f64 th) -6))
(+.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 12)) (+.f64 (neg.f64 (cos.f64 th)) (*.f64 (cos.f64 th) 11)))
(+.f64 (+.f64 (cos.f64 th) (.f64 (cos.f64 th) 6)) (.f64 (cos.f64 th) -6))
(+.f64 (+.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) 11)) (neg.f64 (*.f64 (cos.f64 th) 12)))
(+.f64 (+.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) -6)) (*.f64 (cos.f64 th) 5))
(+.f64 (+.f64 (neg.f64 (cos.f64 th)) (.f64 (cos.f64 th) 11)) (-.f64 (.f64 (cos.f64 th) 3) (*.f64 (cos.f64 th) 12)))
(+.f64 (+.f64 (.f64 (cos.f64 th) -3) (.f64 (neg.f64 (cos.f64 th)) 4)) (neg.f64 (.f64 (.f64 (neg.f64 (cos.f64 th)) 4) 2)))
(+.f64 (+.f64 (.f64 (neg.f64 (cos.f64 th)) 4) (.f64 (cos.f64 th) -5)) (.f64 (.f64 (cos.f64 th) 5) 2))
(+.f64 (+.f64 (neg.f64 (cos.f64 th)) (.f64 (cos.f64 th) -3)) (.f64 (cos.f64 th) 5))
(+.f64 (.f64 (cos.f64 0) (cos.f64 (neg.f64 th))) (.f64 (sin.f64 (neg.f64 th)) 0))
(+.f64 (.f64 (sin.f64 (neg.f64 th)) 0) (.f64 (cos.f64 0) (cos.f64 (neg.f64 th))))
(*.f64 (cos.f64 th) 1)
(*.f64 (cos.f64 th) (cos.f64 0))
(*.f64 (cos.f64 th) (-.f64 2 (cos.f64 0)))
(.f64 2 (.f64 (cos.f64 th) 1/2))
(.f64 (.f64 (cos.f64 th) 2) 1/2)
(*.f64 1 (cos.f64 th))
(*.f64 (neg.f64 (cos.f64 th)) -1)
(*.f64 (neg.f64 (cos.f64 th)) (neg.f64 (cos.f64 0)))
(*.f64 -1 (neg.f64 (cos.f64 th)))
(*.f64 (cos.f64 0) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) -2) -1/2)
(*.f64 -2 (/.f64 (cos.f64 th) -2))
(.f64 (.f64 (cos.f64 th) 1/2) 2)
(*.f64 (neg.f64 (cos.f64 0)) (neg.f64 (cos.f64 th)))
(.f64 1/2 (.f64 (cos.f64 th) 2))
(.f64 -1/2 (.f64 (cos.f64 th) -2))
(*.f64 (/.f64 (cos.f64 th) -2) -2)
(*.f64 (-.f64 2 (cos.f64 0)) (cos.f64 th))
(/.f64 (cos.f64 th) 1)
(/.f64 (*.f64 (cos.f64 th) 2) 2)
(/.f64 (neg.f64 (cos.f64 th)) -1)
(/.f64 (*.f64 (cos.f64 th) -2) -2)
(/.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) 2)
(/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 4)) -1)
(/.f64 (-.f64 (cos.f64 (neg.f64 th)) (neg.f64 (cos.f64 th))) 2)
(/.f64 (.f64 (.f64 (cos.f64 th) 1/2) (+.f64 1 (cos.f64 0))) 1)
(/.f64 (.f64 (.f64 (cos.f64 th) 1/2) (+.f64 (cos.f64 0) (cos.f64 0))) 1)
(pow.f64 (cos.f64 th) 1)
(neg.f64 (neg.f64 (cos.f64 th)))
(neg.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 4)))
(cos.f64 th)
(sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) th))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 0)
(+.f64 0 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (neg.f64 (neg.f64 (sqrt.f64 2)))) 0)
(-.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 0)
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))) -1)
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) -1)
(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (/.f64 -1 (sqrt.f64 2))) 1)
(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (-.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (.f64 3 (/.f64 1 (sqrt.f64 2)))) (+.f64 (/.f64 3 (sqrt.f64 2)) (.f64 3 (/.f64 1 (sqrt.f64 2)))))) 1)
(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (-.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 3 (sqrt.f64 2))) (*.f64 2 (/.f64 3 (sqrt.f64 2))))) 1)
(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (-.f64 (/.f64 3 (neg.f64 (sqrt.f64 2))) (/.f64 2 (neg.f64 (sqrt.f64 2))))) 1)
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)
(neg.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))
(neg.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(+.f64 (cos.f64 th) (*.f64 (cos.f64 th) 2))
(+.f64 (*.f64 (cos.f64 th) 3) 0)
(+.f64 (*.f64 (cos.f64 th) 2) (cos.f64 th))
(+.f64 0 (*.f64 (cos.f64 th) 3))
(+.f64 (neg.f64 (cos.f64 th)) (*.f64 (cos.f64 th) 4))
(+.f64 (.f64 (cos.f64 th) 6) (.f64 (cos.f64 th) -3))
(+.f64 (.f64 (cos.f64 th) 5) (.f64 (cos.f64 th) -2))
(+.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) 5))
(+.f64 (.f64 (cos.f64 th) -3) (.f64 (cos.f64 th) 6))
(+.f64 (*.f64 (cos.f64 th) 4) (neg.f64 (cos.f64 th)))
(+.f64 (.f64 (neg.f64 (cos.f64 th)) 4) (+.f64 (cos.f64 th) (.f64 (cos.f64 th) 6)))
(+.f64 (.f64 (cos.f64 th) -5) (.f64 (*.f64 (cos.f64 th) 4) 2))
(+.f64 (.f64 (.f64 (cos.f64 th) 4) 2) (*.f64 (cos.f64 th) -5))
(+.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) 5) 2)) (+.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) 11)))
(+.f64 (-.f64 (.f64 (cos.f64 th) 6) (neg.f64 (cos.f64 th))) (+.f64 (cos.f64 th) (.f64 (cos.f64 th) -5)))
(+.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 12)) (+.f64 (cos.f64 th) (*.f64 (cos.f64 th) 11)))
(+.f64 (+.f64 (cos.f64 th) (.f64 (cos.f64 th) 6)) (.f64 (neg.f64 (cos.f64 th)) 4))
(+.f64 (+.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) 11)) (neg.f64 (.f64 (.f64 (cos.f64 th) 5) 2)))
(+.f64 (+.f64 (cos.f64 th) (.f64 (cos.f64 th) -5)) (-.f64 (.f64 (cos.f64 th) 6) (neg.f64 (cos.f64 th))))
(+.f64 (+.f64 (cos.f64 th) (.f64 (cos.f64 th) 11)) (-.f64 (.f64 (cos.f64 th) 3) (*.f64 (cos.f64 th) 12)))
(-.f64 (cos.f64 th) (*.f64 (cos.f64 th) -2))
(-.f64 (*.f64 (cos.f64 th) 3) 0)
(-.f64 (*.f64 (cos.f64 th) 2) (neg.f64 (cos.f64 th)))
(-.f64 0 (*.f64 (cos.f64 th) -3))
(-.f64 (.f64 (cos.f64 th) 6) (.f64 (cos.f64 th) 3))
(-.f64 (.f64 (cos.f64 th) 5) (.f64 (cos.f64 th) 2))
(-.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) -5))
(-.f64 (*.f64 (cos.f64 th) 4) (cos.f64 th))
(-.f64 (.f64 (cos.f64 th) 12) (+.f64 (.f64 (cos.f64 th) 3) (*.f64 (cos.f64 th) 6)))
(-.f64 (.f64 (.f64 (cos.f64 th) 4) 2) (*.f64 (cos.f64 th) 5))
(-.f64 (.f64 (.f64 (cos.f64 th) 5) 2) (+.f64 (cos.f64 th) (*.f64 (cos.f64 th) 6)))
(/.f64 (*.f64 (cos.f64 th) 3) 1)
(/.f64 (*.f64 (cos.f64 th) -3) -1)
(pow.f64 (*.f64 (cos.f64 th) 3) 1)
(neg.f64 (*.f64 (cos.f64 th) -3))

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 (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 th 2) (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 (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 (/.f64 1 (sqrt.f64 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (*.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 (.f64 -1/2 (/.f64 (pow.f64 th 2) (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 (/.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 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (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 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))
(+.f64 (.f64 -1/2 (pow.f64 th 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) 1))
(+.f64 (.f64 -1/2 (pow.f64 th 2)) (+.f64 1 (.f64 1/24 (pow.f64 th 4))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 th 2)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 th 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6)))))
(+.f64 (.f64 -1/2 (pow.f64 th 2)) (+.f64 (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6))) 1))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(/.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 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (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 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))))))
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(+.f64 (+.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) 11)) (neg.f64 (*.f64 (cos.f64 th) 12)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(+.f64 (+.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) -6)) (*.f64 (cos.f64 th) 5))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(+.f64 (+.f64 (neg.f64 (cos.f64 th)) (.f64 (cos.f64 th) 11)) (-.f64 (.f64 (cos.f64 th) 3) (*.f64 (cos.f64 th) 12)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(+.f64 (+.f64 (.f64 (cos.f64 th) -3) (.f64 (neg.f64 (cos.f64 th)) 4)) (neg.f64 (.f64 (.f64 (neg.f64 (cos.f64 th)) 4) 2)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(+.f64 (+.f64 (.f64 (neg.f64 (cos.f64 th)) 4) (.f64 (cos.f64 th) -5)) (.f64 (.f64 (cos.f64 th) 5) 2))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(+.f64 (+.f64 (neg.f64 (cos.f64 th)) (.f64 (cos.f64 th) -3)) (.f64 (cos.f64 th) 5))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 0) (cos.f64 (neg.f64 th))) (.f64 (sin.f64 (neg.f64 th)) 0))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(+.f64 (.f64 (sin.f64 (neg.f64 th)) 0) (.f64 (cos.f64 0) (cos.f64 (neg.f64 th))))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(*.f64 (cos.f64 th) 1)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(*.f64 (cos.f64 th) (cos.f64 0))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(*.f64 (cos.f64 th) (-.f64 2 (cos.f64 0)))
(.f64 2 (.f64 (cos.f64 th) 1/2))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(.f64 (.f64 (cos.f64 th) 2) 1/2)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(*.f64 1 (cos.f64 th))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(*.f64 (neg.f64 (cos.f64 th)) -1)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(*.f64 (neg.f64 (cos.f64 th)) (neg.f64 (cos.f64 0)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(*.f64 -1 (neg.f64 (cos.f64 th)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(*.f64 (cos.f64 0) (cos.f64 th))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(.f64 (.f64 (cos.f64 th) -2) -1/2)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(*.f64 -2 (/.f64 (cos.f64 th) -2))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(.f64 (.f64 (cos.f64 th) 1/2) 2)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(*.f64 (neg.f64 (cos.f64 0)) (neg.f64 (cos.f64 th)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(.f64 1/2 (.f64 (cos.f64 th) 2))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(.f64 -1/2 (.f64 (cos.f64 th) -2))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(*.f64 (/.f64 (cos.f64 th) -2) -2)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(*.f64 (-.f64 2 (cos.f64 0)) (cos.f64 th))
(*.f64 (cos.f64 th) (-.f64 2 (cos.f64 0)))
(/.f64 (cos.f64 th) 1)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(/.f64 (*.f64 (cos.f64 th) 2) 2)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(/.f64 (neg.f64 (cos.f64 th)) -1)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(/.f64 (*.f64 (cos.f64 th) -2) -2)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(/.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) 2)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 4)) -1)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(/.f64 (-.f64 (cos.f64 (neg.f64 th)) (neg.f64 (cos.f64 th))) 2)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(/.f64 (.f64 (.f64 (cos.f64 th) 1/2) (+.f64 1 (cos.f64 0))) 1)
(.f64 (.f64 (cos.f64 th) 1/2) (+.f64 1 (cos.f64 0)))
(.f64 (cos.f64 th) (.f64 (+.f64 1 (cos.f64 0)) 1/2))
(/.f64 (.f64 (.f64 (cos.f64 th) 1/2) (+.f64 (cos.f64 0) (cos.f64 0))) 1)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(pow.f64 (cos.f64 th) 1)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(neg.f64 (neg.f64 (cos.f64 th)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(neg.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 4)))
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(cos.f64 th)
(cos.f64 th)
(-.f64 (.f64 3 (cos.f64 th)) (.f64 2 (cos.f64 th)))
(sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) th))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) th))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 0)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 0 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (neg.f64 (neg.f64 (sqrt.f64 2)))) 0)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 0)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))) -1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) -1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (/.f64 -1 (sqrt.f64 2))) 1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (-.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (.f64 3 (/.f64 1 (sqrt.f64 2)))) (+.f64 (/.f64 3 (sqrt.f64 2)) (.f64 3 (/.f64 1 (sqrt.f64 2)))))) 1)
(.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (-.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (+.f64 (/.f64 3 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2)))))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (-.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (+.f64 (/.f64 3 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (-.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (+.f64 (/.f64 3 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (-.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 3 (sqrt.f64 2))) (*.f64 2 (/.f64 3 (sqrt.f64 2))))) 1)
(.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (-.f64 (+.f64 (/.f64 3 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (*.f64 2 (/.f64 3 (sqrt.f64 2)))))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (-.f64 (+.f64 (/.f64 3 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (.f64 2 (/.f64 3 (sqrt.f64 2)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (neg.f64 (cos.f64 th)) (-.f64 (+.f64 (/.f64 3 (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2))) (*.f64 2 (/.f64 3 (sqrt.f64 2))))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (-.f64 (/.f64 3 (neg.f64 (sqrt.f64 2))) (/.f64 2 (neg.f64 (sqrt.f64 2))))) 1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(neg.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(neg.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (cos.f64 th) (*.f64 (cos.f64 th) 2))
(*.f64 3 (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) 3) 0)
(*.f64 3 (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) 2) (cos.f64 th))
(*.f64 3 (cos.f64 th))
(+.f64 0 (*.f64 (cos.f64 th) 3))
(*.f64 3 (cos.f64 th))
(+.f64 (neg.f64 (cos.f64 th)) (*.f64 (cos.f64 th) 4))
(*.f64 3 (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) 6) (.f64 (cos.f64 th) -3))
(*.f64 3 (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) 5) (.f64 (cos.f64 th) -2))
(*.f64 3 (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) 5))
(*.f64 3 (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) -3) (.f64 (cos.f64 th) 6))
(*.f64 3 (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) 4) (neg.f64 (cos.f64 th)))
(*.f64 3 (cos.f64 th))
(+.f64 (.f64 (neg.f64 (cos.f64 th)) 4) (+.f64 (cos.f64 th) (.f64 (cos.f64 th) 6)))
(*.f64 3 (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) -5) (.f64 (*.f64 (cos.f64 th) 4) 2))
(*.f64 3 (cos.f64 th))
(+.f64 (.f64 (.f64 (cos.f64 th) 4) 2) (*.f64 (cos.f64 th) -5))
(*.f64 3 (cos.f64 th))
(+.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) 5) 2)) (+.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) 11)))
(+.f64 (.f64 (cos.f64 th) 11) (+.f64 (.f64 2 (cos.f64 th)) (neg.f64 (.f64 2 (.f64 (cos.f64 th) 5)))))
(+.f64 (neg.f64 (.f64 (cos.f64 th) 10)) (.f64 (cos.f64 th) 13))
(+.f64 (-.f64 (.f64 (cos.f64 th) 6) (neg.f64 (cos.f64 th))) (+.f64 (cos.f64 th) (.f64 (cos.f64 th) -5)))
(*.f64 3 (cos.f64 th))
(+.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 12)) (+.f64 (cos.f64 th) (*.f64 (cos.f64 th) 11)))
(*.f64 3 (cos.f64 th))
(+.f64 (+.f64 (cos.f64 th) (.f64 (cos.f64 th) 6)) (.f64 (neg.f64 (cos.f64 th)) 4))
(*.f64 3 (cos.f64 th))
(+.f64 (+.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) 11)) (neg.f64 (.f64 (.f64 (cos.f64 th) 5) 2)))
(+.f64 (.f64 (cos.f64 th) 11) (+.f64 (.f64 2 (cos.f64 th)) (neg.f64 (.f64 2 (.f64 (cos.f64 th) 5)))))
(+.f64 (neg.f64 (.f64 (cos.f64 th) 10)) (.f64 (cos.f64 th) 13))
(+.f64 (+.f64 (cos.f64 th) (.f64 (cos.f64 th) -5)) (-.f64 (.f64 (cos.f64 th) 6) (neg.f64 (cos.f64 th))))
(*.f64 3 (cos.f64 th))
(+.f64 (+.f64 (cos.f64 th) (.f64 (cos.f64 th) 11)) (-.f64 (.f64 (cos.f64 th) 3) (*.f64 (cos.f64 th) 12)))
(*.f64 3 (cos.f64 th))
(-.f64 (cos.f64 th) (*.f64 (cos.f64 th) -2))
(*.f64 3 (cos.f64 th))
(-.f64 (*.f64 (cos.f64 th) 3) 0)
(*.f64 3 (cos.f64 th))
(-.f64 (*.f64 (cos.f64 th) 2) (neg.f64 (cos.f64 th)))
(*.f64 3 (cos.f64 th))
(-.f64 0 (*.f64 (cos.f64 th) -3))
(*.f64 3 (cos.f64 th))
(-.f64 (.f64 (cos.f64 th) 6) (.f64 (cos.f64 th) 3))
(*.f64 3 (cos.f64 th))
(-.f64 (.f64 (cos.f64 th) 5) (.f64 (cos.f64 th) 2))
(*.f64 3 (cos.f64 th))
(-.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) -5))
(*.f64 3 (cos.f64 th))
(-.f64 (*.f64 (cos.f64 th) 4) (cos.f64 th))
(*.f64 3 (cos.f64 th))
(-.f64 (.f64 (cos.f64 th) 12) (+.f64 (.f64 (cos.f64 th) 3) (*.f64 (cos.f64 th) 6)))
(*.f64 3 (cos.f64 th))
(-.f64 (.f64 (.f64 (cos.f64 th) 4) 2) (*.f64 (cos.f64 th) 5))
(*.f64 3 (cos.f64 th))
(-.f64 (.f64 (.f64 (cos.f64 th) 5) 2) (+.f64 (cos.f64 th) (*.f64 (cos.f64 th) 6)))
(*.f64 3 (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) 3) 1)
(*.f64 3 (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) -3) -1)
(*.f64 3 (cos.f64 th))
(pow.f64 (*.f64 (cos.f64 th) 3) 1)
(*.f64 3 (cos.f64 th))
(neg.f64 (*.f64 (cos.f64 th) -3))
(*.f64 3 (cos.f64 th))

localize94.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 th) 3)
✓	0.4b	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	0.4b	(-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3))
✓	0.7b	(/.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))

Compiler

Compiled 75 to 38 computations (49.3% saved)

series10.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	th	@	inf	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	a2	@	0	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	-inf	(/.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
1.0ms	th	@	-inf	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	a1	@	0	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

rewrite243.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2144×	`rational_best-1`
2140×	`rational_best-2`
1162×	`rational_best-simplify-51`
964×	`rational_best-4`
964×	`rational_best-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	127	59
2	220	59
3	395	59
4	894	59
5	2741	59
6	7053	59

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

Inputs

(/.f64 (-.f64 (*.f64 (cos.f64 th) 4) (*.f64 (cos.f64 th) 3)) (sqrt.f64 2))

(-.f64 (*.f64 (cos.f64 th) 4) (*.f64 (cos.f64 th) 3))

(*.f64 (/.f64 (-.f64 (*.f64 (cos.f64 th) 4) (*.f64 (cos.f64 th) 3)) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) (-.f64 (/.f64 4 (sqrt.f64 2)) (*.f64 3 (/.f64 1 (sqrt.f64 2))))) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) (-.f64 (*.f64 4 (/.f64 1 (sqrt.f64 2))) (/.f64 3 (sqrt.f64 2)))) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) (/.f64 -1 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (neg.f64 (sqrt.f64 2)))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) (neg.f64 (neg.f64 (sqrt.f64 2)))) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (*.f64 2 (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (sqrt.f64 2))) (*.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 2 (/.f64 4 (sqrt.f64 2))) (+.f64 (/.f64 3 (sqrt.f64 2)) (*.f64 4 (/.f64 1 (sqrt.f64 2))))) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 th) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 th) (+.f64 (*.f64 (cos.f64 th) 6) (*.f64 (cos.f64 th) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) 4) (*.f64 (cos.f64 th) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) 4) (+.f64 (*.f64 (cos.f64 th) 3) (*.f64 (cos.f64 th) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) 3) (*.f64 (cos.f64 th) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 th)) (*.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) 8) (*.f64 (cos.f64 th) -7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) 8) (+.f64 (*.f64 (cos.f64 th) -6) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) 8) (+.f64 (neg.f64 (cos.f64 th)) (*.f64 (cos.f64 th) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) 7) (*.f64 (cos.f64 th) -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) 7) (-.f64 (*.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) -3) (*.f64 (cos.f64 th) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) 2) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) -4) (*.f64 (cos.f64 th) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) 6) (-.f64 (*.f64 (cos.f64 th) 4) (*.f64 (cos.f64 th) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) 5) (*.f64 (cos.f64 th) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) -6) (*.f64 (cos.f64 th) 7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) -8) (+.f64 (*.f64 (cos.f64 th) 15) (*.f64 (cos.f64 th) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) -7) (*.f64 (cos.f64 th) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) -7) (-.f64 (*.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) 15) (-.f64 (*.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) -2) (*.f64 (cos.f64 th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 th) 8) (*.f64 (cos.f64 th) -3)) (+.f64 (*.f64 (cos.f64 th) -4) (*.f64 (cos.f64 th) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) 8)) (*.f64 (cos.f64 th) 7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 th) 8) (*.f64 (cos.f64 th) 2)) (+.f64 (cos.f64 th) (*.f64 (cos.f64 th) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 th) 8) (*.f64 (cos.f64 th) -6)) (+.f64 (*.f64 (cos.f64 th) -7) (*.f64 (cos.f64 th) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 th) 4) (*.f64 (cos.f64 th) 9)) (*.f64 (cos.f64 th) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) -6)) (*.f64 (cos.f64 th) -7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) 16)) (*.f64 (cos.f64 th) 15))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 0) (cos.f64 (neg.f64 th))) (*.f64 (sin.f64 (neg.f64 th)) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (*.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (-.f64 2 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (+.f64 -3 (*.f64 4 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (+.f64 -3 (-.f64 (cos.f64 0) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (+.f64 2 (neg.f64 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (+.f64 4 (-.f64 (cos.f64 0) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 th) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 th)) (neg.f64 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 0)) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (cos.f64 0)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (neg.f64 th)) (neg.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 th) (neg.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 th)))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) th))))))

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

simplify205.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1592×	`rational_best-simplify-2`
1152×	`rational_best-simplify-1`
1152×	`rational_best-simplify-47`
724×	`rational_best-simplify-44`
704×	`rational_best-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	454	9783
1	845	5745
2	2070	5745
3	5835	5745

Stop Event

1×	node limit

Counts

241 → 262

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 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (pow.f64 th 2)))))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(/.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)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(+.f64 (.f64 (-.f64 (.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 3 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 a2 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (.f64 (-.f64 (.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 3 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 a2 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (.f64 (-.f64 (.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 3 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 a2 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2))
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(+.f64 (.f64 (cos.f64 th) -8) (+.f64 (.f64 (cos.f64 th) 15) (*.f64 (cos.f64 th) -6)))
(+.f64 (.f64 (cos.f64 th) -7) (.f64 (cos.f64 th) 8))
(+.f64 (.f64 (cos.f64 th) -7) (-.f64 (.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) -6)))
(+.f64 (.f64 (cos.f64 th) 15) (-.f64 (.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) 16)))
(+.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) 3))
(+.f64 (-.f64 (.f64 (cos.f64 th) 8) (.f64 (cos.f64 th) -3)) (+.f64 (.f64 (cos.f64 th) -4) (.f64 (cos.f64 th) -6)))
(+.f64 (-.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) 8)) (*.f64 (cos.f64 th) 7))
(+.f64 (-.f64 (.f64 (cos.f64 th) 8) (.f64 (cos.f64 th) 2)) (+.f64 (cos.f64 th) (*.f64 (cos.f64 th) -6)))
(+.f64 (-.f64 (.f64 (cos.f64 th) 8) (.f64 (cos.f64 th) -6)) (+.f64 (.f64 (cos.f64 th) -7) (.f64 (cos.f64 th) -6)))
(+.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 9)) (*.f64 (cos.f64 th) 6))
(+.f64 (-.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) -6)) (*.f64 (cos.f64 th) -7))
(+.f64 (-.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) 16)) (*.f64 (cos.f64 th) 15))
(+.f64 (.f64 (cos.f64 0) (cos.f64 (neg.f64 th))) (.f64 (sin.f64 (neg.f64 th)) (sin.f64 0)))
(*.f64 (cos.f64 th) 1)
(*.f64 (cos.f64 th) (cos.f64 0))
(.f64 (cos.f64 th) (.f64 (cos.f64 0) (cos.f64 0)))
(*.f64 (cos.f64 th) (-.f64 2 (cos.f64 0)))
(.f64 (cos.f64 th) (+.f64 -3 (.f64 4 (cos.f64 0))))
(*.f64 (cos.f64 th) (+.f64 -3 (-.f64 (cos.f64 0) -3)))
(*.f64 (cos.f64 th) (+.f64 2 (neg.f64 (cos.f64 0))))
(*.f64 (cos.f64 th) (+.f64 4 (-.f64 (cos.f64 0) 4)))
(.f64 2 (.f64 (cos.f64 th) 1/2))
(*.f64 1 (cos.f64 th))
(*.f64 (neg.f64 (cos.f64 th)) -1)
(*.f64 (neg.f64 (cos.f64 th)) (neg.f64 (cos.f64 0)))
(*.f64 -1 (neg.f64 (cos.f64 th)))
(*.f64 (cos.f64 0) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) 2) 1/2)
(.f64 (.f64 (cos.f64 th) 1/2) 2)
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 th))
(*.f64 (neg.f64 (cos.f64 0)) (neg.f64 (cos.f64 th)))
(.f64 1/2 (.f64 (cos.f64 th) 2))
(*.f64 (-.f64 2 (cos.f64 0)) (cos.f64 th))
(/.f64 (cos.f64 th) 1)
(/.f64 (neg.f64 (cos.f64 th)) -1)
(/.f64 (*.f64 (cos.f64 th) 2) 2)
(/.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) 2)
(/.f64 (*.f64 (cos.f64 th) -2) -2)
(/.f64 (-.f64 (cos.f64 (neg.f64 th)) (neg.f64 (cos.f64 th))) 2)
(/.f64 (-.f64 (cos.f64 th) (neg.f64 (cos.f64 th))) 2)
(pow.f64 (cos.f64 th) 1)
(neg.f64 (neg.f64 (cos.f64 th)))
(cos.f64 th)
(sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) th))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 0)
(+.f64 0 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(-.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 0)
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)

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 (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (pow.f64 th 2) (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 1 (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))))))
(+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (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 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (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 (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 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 th 2)) (.f64 1/24 (pow.f64 th 4))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 th 2)) (.f64 -1/720 (pow.f64 th 6))) (+.f64 (*.f64 1/24 (pow.f64 th 4)) 1))
(+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 th 2)) (*.f64 -1/720 (pow.f64 th 6))) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 th 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6)))))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(/.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 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (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 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (.f64 (pow.f64 th 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 (.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 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a2 2) (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 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2))))) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (/.f64 (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 (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/720 (.f64 (pow.f64 th 6) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))) (.f64 -1/720 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 6) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))))) (.f64 -1/720 (.f64 (pow.f64 th 6) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 (-.f64 (.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 3 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 a2 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (.f64 (-.f64 (.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 3 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 a2 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
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(*.f64 (/.f64 (cos.f64 0) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (-.f64 (/.f64 3 (sqrt.f64 2)) (.f64 4 (/.f64 1 (sqrt.f64 2)))) (neg.f64 (cos.f64 th)))
(.f64 (neg.f64 (cos.f64 th)) (-.f64 (/.f64 3 (sqrt.f64 2)) (.f64 (/.f64 1 (sqrt.f64 2)) 4)))
(.f64 (-.f64 (.f64 3 (/.f64 1 (sqrt.f64 2))) (/.f64 4 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(.f64 (neg.f64 (cos.f64 th)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 3) (/.f64 4 (sqrt.f64 2))))
(.f64 (cos.f64 th) (neg.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 3) (/.f64 4 (sqrt.f64 2)))))
(.f64 (-.f64 (/.f64 4 (sqrt.f64 2)) (.f64 3 (/.f64 1 (sqrt.f64 2)))) (cos.f64 th))
(.f64 (cos.f64 th) (-.f64 (/.f64 4 (sqrt.f64 2)) (.f64 (/.f64 1 (sqrt.f64 2)) 3)))
(.f64 (-.f64 (.f64 4 (/.f64 1 (sqrt.f64 2))) (/.f64 3 (sqrt.f64 2))) (cos.f64 th))
(.f64 (cos.f64 th) (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 4) (/.f64 3 (sqrt.f64 2))))
(.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 0) (sqrt.f64 2))) (cos.f64 th))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (.f64 (cos.f64 0) (-.f64 (/.f64 4 (sqrt.f64 2)) (*.f64 3 (/.f64 1 (sqrt.f64 2))))) (cos.f64 th))
(.f64 (cos.f64 th) (-.f64 (/.f64 4 (sqrt.f64 2)) (.f64 (/.f64 1 (sqrt.f64 2)) 3)))
(.f64 (.f64 (cos.f64 0) (-.f64 (*.f64 4 (/.f64 1 (sqrt.f64 2))) (/.f64 3 (sqrt.f64 2)))) (cos.f64 th))
(.f64 (cos.f64 th) (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 4) (/.f64 3 (sqrt.f64 2))))
(.f64 (.f64 (cos.f64 0) (/.f64 -1 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 (sqrt.f64 2)))) (neg.f64 (cos.f64 th)))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 0) (neg.f64 (neg.f64 (sqrt.f64 2)))) (cos.f64 th))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (.f64 2 (sqrt.f64 2))) 2)
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 1 (.f64 2 (sqrt.f64 2))) (*.f64 (cos.f64 th) 2))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (-.f64 (.f64 2 (/.f64 4 (sqrt.f64 2))) (+.f64 (/.f64 3 (sqrt.f64 2)) (*.f64 4 (/.f64 1 (sqrt.f64 2))))) (cos.f64 th))
(.f64 (cos.f64 th) (-.f64 (.f64 2 (/.f64 4 (sqrt.f64 2))) (+.f64 (/.f64 3 (sqrt.f64 2)) (*.f64 (/.f64 1 (sqrt.f64 2)) 4))))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(neg.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(+.f64 (cos.f64 th) 0)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (cos.f64 th) (+.f64 (.f64 (cos.f64 th) 6) (.f64 (cos.f64 th) -6)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) -3))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) 4) (+.f64 (.f64 (cos.f64 th) 3) (*.f64 (cos.f64 th) -6)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) -2))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 0 (cos.f64 th))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (neg.f64 (cos.f64 th)) (*.f64 (cos.f64 th) 2))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) 8) (.f64 (cos.f64 th) -7))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) 8) (+.f64 (.f64 (cos.f64 th) -6) (neg.f64 (cos.f64 th))))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) 8) (+.f64 (neg.f64 (cos.f64 th)) (.f64 (cos.f64 th) -6)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) 7) (.f64 (cos.f64 th) -6))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) 7) (-.f64 (.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) 8)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) -3) (.f64 (cos.f64 th) 4))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (*.f64 (cos.f64 th) 2) (neg.f64 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) -4) (.f64 (cos.f64 th) 5))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) 6) (-.f64 (.f64 (cos.f64 th) 4) (*.f64 (cos.f64 th) 9)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) 5) (.f64 (cos.f64 th) -4))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) -6) (.f64 (cos.f64 th) 7))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) -8) (+.f64 (.f64 (cos.f64 th) 15) (*.f64 (cos.f64 th) -6)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) -7) (.f64 (cos.f64 th) 8))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) -7) (-.f64 (.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) -6)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) 15) (-.f64 (.f64 (cos.f64 th) 2) (*.f64 (cos.f64 th) 16)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 th) -2) (.f64 (cos.f64 th) 3))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (-.f64 (.f64 (cos.f64 th) 8) (.f64 (cos.f64 th) -3)) (+.f64 (.f64 (cos.f64 th) -4) (.f64 (cos.f64 th) -6)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (-.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) 8)) (*.f64 (cos.f64 th) 7))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (-.f64 (.f64 (cos.f64 th) 8) (.f64 (cos.f64 th) 2)) (+.f64 (cos.f64 th) (*.f64 (cos.f64 th) -6)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (-.f64 (.f64 (cos.f64 th) 8) (.f64 (cos.f64 th) -6)) (+.f64 (.f64 (cos.f64 th) -7) (.f64 (cos.f64 th) -6)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 9)) (*.f64 (cos.f64 th) 6))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (-.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) -6)) (*.f64 (cos.f64 th) -7))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (-.f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 th) 16)) (*.f64 (cos.f64 th) 15))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(+.f64 (.f64 (cos.f64 0) (cos.f64 (neg.f64 th))) (.f64 (sin.f64 (neg.f64 th)) (sin.f64 0)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(*.f64 (cos.f64 th) 1)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(*.f64 (cos.f64 th) (cos.f64 0))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(.f64 (cos.f64 th) (.f64 (cos.f64 0) (cos.f64 0)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(*.f64 (cos.f64 th) (-.f64 2 (cos.f64 0)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(.f64 (cos.f64 th) (+.f64 -3 (.f64 4 (cos.f64 0))))
(*.f64 (cos.f64 th) (+.f64 -3 (-.f64 (cos.f64 0) -3)))
(*.f64 (cos.f64 th) (+.f64 2 (neg.f64 (cos.f64 0))))
(*.f64 (cos.f64 th) (+.f64 4 (-.f64 (cos.f64 0) 4)))
(.f64 2 (.f64 (cos.f64 th) 1/2))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(*.f64 1 (cos.f64 th))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(*.f64 (neg.f64 (cos.f64 th)) -1)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(*.f64 (neg.f64 (cos.f64 th)) (neg.f64 (cos.f64 0)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(*.f64 -1 (neg.f64 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(*.f64 (cos.f64 0) (cos.f64 th))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(.f64 (.f64 (cos.f64 th) 2) 1/2)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(.f64 (.f64 (cos.f64 th) 1/2) 2)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 th))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(*.f64 (neg.f64 (cos.f64 0)) (neg.f64 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(.f64 1/2 (.f64 (cos.f64 th) 2))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(*.f64 (-.f64 2 (cos.f64 0)) (cos.f64 th))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(/.f64 (cos.f64 th) 1)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(/.f64 (neg.f64 (cos.f64 th)) -1)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(/.f64 (*.f64 (cos.f64 th) 2) 2)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(/.f64 (+.f64 (cos.f64 th) (cos.f64 (neg.f64 th))) 2)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(/.f64 (*.f64 (cos.f64 th) -2) -2)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(/.f64 (-.f64 (cos.f64 (neg.f64 th)) (neg.f64 (cos.f64 th))) 2)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(/.f64 (-.f64 (cos.f64 th) (neg.f64 (cos.f64 th))) 2)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(pow.f64 (cos.f64 th) 1)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(neg.f64 (neg.f64 (cos.f64 th)))
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(cos.f64 th)
(cos.f64 th)
(-.f64 (.f64 4 (cos.f64 th)) (.f64 (cos.f64 th) 3))
(sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) th))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) th))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 0)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 0 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 0)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

eval684.0ms (3.5%)

Compiler: Compiled 26152 to 14561 computations (44.3% saved)

prune578.0ms (2.9%)

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	1083	24	1107
Fresh	1	1	2
Picked	1	0	1
Done	0	5	5
Total	1085	30	1115

Error

0.0b

Counts

1115 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	39.9b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	40.7b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	24.8b	(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 (.f64 a1 2)) (.f64 a1 a1))) (.f64 a1 (.f64 a1 2))) (sqrt.f64 2))
	24.8b	(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (.f64 2 (.f64 a2 a2))) (sqrt.f64 2))
	24.9b	(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (.f64 a1 2) a1))) (.f64 a1 (*.f64 a1 2))) (sqrt.f64 2))
	24.9b	(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 (.f64 2 a2)))) (.f64 2 (*.f64 a2 a2))) (sqrt.f64 2))
	24.8b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 2)))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 (.f64 a1 2)) (.f64 a1 a1)))) (sqrt.f64 2))
	24.9b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (*.f64 a1 2) a1)))) (sqrt.f64 2))
	24.8b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))))) (sqrt.f64 2))
▶	24.9b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 (*.f64 2 a2))))) (sqrt.f64 2))
▶	24.7b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
▶	0.5b	(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
▶	0.4b	(/.f64 (.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (neg.f64 (+.f64 th th)))) (.f64 (neg.f64 (sin.f64 th)) (sin.f64 (neg.f64 (+.f64 th th))))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
	0.7b	(-.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))
	37.3b	(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)
	24.9b	(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -4))
	25.0b	(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3))
✓	0.5b	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.7b	(.f64 (/.f64 (+.f64 (.f64 (cos.f64 th) 5) (.f64 (cos.f64 th) -4)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	39.9b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
✓	24.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(.f64 (-.f64 (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(.f64 (-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
	0.5b	(.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
	0.8b	(.f64 (cos.f64 th) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3)))
	0.8b	(.f64 (cos.f64 th) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2))))

Compiler

Compiled 1320 to 874 computations (33.8% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (neg.f64 (sin.f64 th)) (sin.f64 (neg.f64 (+.f64 th th))))
✓	0.2b	(+.f64 (.f64 (cos.f64 th) (cos.f64 (neg.f64 (+.f64 th th)))) (.f64 (neg.f64 (sin.f64 th)) (sin.f64 (neg.f64 (+.f64 th th)))))
✓	0.2b	(*.f64 (cos.f64 th) (cos.f64 (neg.f64 (+.f64 th th))))
✓	0.4b	(/.f64 (.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (neg.f64 (+.f64 th th)))) (.f64 (neg.f64 (sin.f64 th)) (sin.f64 (neg.f64 (+.f64 th th))))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))

Compiler

Compiled 136 to 23 computations (83.1% saved)

series14.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	a2	@	0	(/.f64 (.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (neg.f64 (+.f64 th th)))) (.f64 (neg.f64 (sin.f64 th)) (sin.f64 (neg.f64 (+.f64 th th))))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
2.0ms	th	@	inf	(/.f64 (.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (neg.f64 (+.f64 th th)))) (.f64 (neg.f64 (sin.f64 th)) (sin.f64 (neg.f64 (+.f64 th th))))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
2.0ms	a1	@	0	(/.f64 (.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (neg.f64 (+.f64 th th)))) (.f64 (neg.f64 (sin.f64 th)) (sin.f64 (neg.f64 (+.f64 th th))))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
1.0ms	th	@	-inf	(/.f64 (.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (neg.f64 (+.f64 th th)))) (.f64 (neg.f64 (sin.f64 th)) (sin.f64 (neg.f64 (+.f64 th th))))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
1.0ms	a2	@	inf	(/.f64 (.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (neg.f64 (+.f64 th th)))) (.f64 (neg.f64 (sin.f64 th)) (sin.f64 (neg.f64 (+.f64 th th))))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`rational_best-1`
1284×	`rational_best-4`
1284×	`rational_best-2`
1284×	`rational_best-3`
1284×	`exponential-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	206
1	169	206
2	346	206
3	626	182
4	1411	170
5	4662	86

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 0 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 0 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (neg.f64 (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (.f64 (cos.f64 th) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (.f64 th 3)) (neg.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 th) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3))) (+.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) 2) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) (.f64 (cos.f64 (+.f64 th th)) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 th)) (neg.f64 (.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) 1/2) (-.f64 (.f64 (cos.f64 (.f64 th 3)) 1/2) (.f64 (cos.f64 th) (cos.f64 (+.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (-.f64 2 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (-.f64 2 (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (-.f64 (.f64 (cos.f64 0) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (-.f64 (.f64 (cos.f64 0) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (-.f64 (.f64 (cos.f64 0) 2) (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (-.f64 (+.f64 1 (cos.f64 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (-.f64 (+.f64 1 (cos.f64 0)) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (-.f64 (+.f64 1 (cos.f64 0)) (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 th) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 2) (.f64 (cos.f64 0) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3))) (-.f64 (cos.f64 th) (cos.f64 (.f64 th 3)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 th) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (cos.f64 th) 2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (-.f64 (cos.f64 (.f64 th 3)) (cos.f64 th)) (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 0) 2) (.f64 (cos.f64 th) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 2 (cos.f64 0)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (cos.f64 0)) (.f64 (cos.f64 th) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3))) (-.f64 (cos.f64 th) (cos.f64 (.f64 th 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (cos.f64 th) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (cos.f64 (.f64 th 3)) (cos.f64 th)) (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 th)))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (neg.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) th))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 th) (sin.f64 (+.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (.f64 th 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3))) (+.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (.f64 th 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) 1/2) (.f64 (cos.f64 (.f64 th 3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (.f64 th 3)) (cos.f64 th)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 th) (cos.f64 (.f64 th 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) th) (+.f64 (.f64 th -2) (.f64 1/2 (PI.f64))))) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) th) (+.f64 (.f64 th -2) (.f64 1/2 (PI.f64)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) th) (+.f64 (.f64 th -2) (.f64 1/2 (PI.f64))))) (cos.f64 (-.f64 (+.f64 (.f64 th -2) (.f64 1/2 (PI.f64))) (-.f64 (.f64 1/2 (PI.f64)) th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 th) (+.f64 (cos.f64 (+.f64 th (-.f64 (.f64 1/2 (PI.f64)) th))) (cos.f64 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) th) th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))))))))

simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1322×	`rational_best-simplify-2`
1100×	`rational_best-simplify-49`
1054×	`rational_best-simplify-46`
892×	`rational_best-simplify-43`
766×	`rational_best-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	282	7689
1	585	7007
2	1375	6997
3	3320	5637

Stop Event

1×	node limit

Counts

165 → 195

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)))))))
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(-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3))
(*.f64 (cos.f64 th) 1)
(*.f64 (cos.f64 th) (cos.f64 0))
(*.f64 (cos.f64 th) (-.f64 2 (cos.f64 0)))
(*.f64 (cos.f64 th) (-.f64 2 (-.f64 2 (cos.f64 0))))
(.f64 (cos.f64 th) (-.f64 (.f64 (cos.f64 0) 2) 1))
(.f64 (cos.f64 th) (-.f64 (.f64 (cos.f64 0) 2) (cos.f64 0)))
(.f64 (cos.f64 th) (-.f64 (.f64 (cos.f64 0) 2) (-.f64 2 (cos.f64 0))))
(*.f64 (cos.f64 th) (-.f64 (+.f64 1 (cos.f64 0)) 1))
(*.f64 (cos.f64 th) (-.f64 (+.f64 1 (cos.f64 0)) (cos.f64 0)))
(*.f64 (cos.f64 th) (-.f64 (+.f64 1 (cos.f64 0)) (-.f64 2 (cos.f64 0))))
(.f64 2 (.f64 (cos.f64 th) 1/2))
(*.f64 1 (cos.f64 th))
(*.f64 (cos.f64 0) (cos.f64 th))
(.f64 1/2 (.f64 (cos.f64 th) 2))
(.f64 (.f64 (cos.f64 th) 2) 1/2)
(.f64 (.f64 (cos.f64 th) 2) (*.f64 (cos.f64 0) 1/2))
(*.f64 (neg.f64 (cos.f64 th)) -1)
(.f64 (+.f64 (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3))) (-.f64 (cos.f64 th) (cos.f64 (*.f64 th 3)))) 1/2)
(.f64 (.f64 (cos.f64 th) 1/2) 2)
(.f64 (neg.f64 (.f64 (cos.f64 th) 2)) -1/2)
(.f64 (-.f64 (-.f64 (cos.f64 (.f64 th 3)) (cos.f64 th)) (+.f64 (cos.f64 th) (cos.f64 (*.f64 th 3)))) -1/2)
(.f64 (.f64 (cos.f64 0) 2) (*.f64 (cos.f64 th) 1/2))
(*.f64 (-.f64 2 (cos.f64 0)) (cos.f64 th))
(.f64 (+.f64 1 (cos.f64 0)) (.f64 (cos.f64 th) 1/2))
(/.f64 (cos.f64 th) 1)
(/.f64 (*.f64 (cos.f64 th) 2) 2)
(/.f64 (neg.f64 (cos.f64 th)) -1)
(/.f64 (+.f64 (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3))) (-.f64 (cos.f64 th) (cos.f64 (.f64 th 3)))) 2)
(/.f64 (neg.f64 (*.f64 (cos.f64 th) 2)) -2)
(/.f64 (-.f64 (-.f64 (cos.f64 (.f64 th 3)) (cos.f64 th)) (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3)))) -2)
(pow.f64 (cos.f64 th) 1)
(neg.f64 (neg.f64 (cos.f64 th)))
(cos.f64 th)
(cos.f64 (neg.f64 th))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) th))
(+.f64 0 (*.f64 (sin.f64 th) (sin.f64 (+.f64 th th))))
(+.f64 (*.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) 0)
(-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (.f64 th 3)))
(-.f64 0 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))))
(-.f64 (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3))) (+.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (*.f64 th 3))))
(-.f64 (*.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) 0)
(-.f64 (.f64 (cos.f64 th) 1/2) (.f64 (cos.f64 (*.f64 th 3)) 1/2))
(/.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) -1)
(/.f64 (-.f64 (cos.f64 (*.f64 th 3)) (cos.f64 th)) -2)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) 1)
(/.f64 (-.f64 (cos.f64 th) (cos.f64 (*.f64 th 3))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) th) (+.f64 (.f64 th -2) (.f64 1/2 (PI.f64))))) (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) th) (+.f64 (.f64 th -2) (.f64 1/2 (PI.f64)))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) th) (+.f64 (.f64 th -2) (.f64 1/2 (PI.f64))))) (cos.f64 (-.f64 (+.f64 (.f64 th -2) (.f64 1/2 (PI.f64))) (-.f64 (.f64 1/2 (PI.f64)) th)))) 2)
(/.f64 (.f64 (sin.f64 th) (+.f64 (cos.f64 (+.f64 th (-.f64 (.f64 1/2 (PI.f64)) th))) (cos.f64 (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) th) th)))) 1)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) 1)
(neg.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -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 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (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 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 4) (sqrt.f64 2))))) (/.f64 (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 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (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 a1 2)) (/.f64 (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 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 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))))) (+.f64 (/.f64 (pow.f64 a2 2) (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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (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 a1 2)) (/.f64 (pow.f64 th 6) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2))))) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (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 a1 2)) (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/720 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 6) (sqrt.f64 2)))) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (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 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2))))))))
(/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 (*.f64 th -2)) (neg.f64 (sin.f64 th)))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 (*.f64 th -2))))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 (+.f64 th (.f64 th -2))) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 (*.f64 th -2)) (neg.f64 (sin.f64 th)))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 (*.f64 th -2))))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 (+.f64 th (.f64 th -2))) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 (*.f64 th -2)) (neg.f64 (sin.f64 th)))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 (*.f64 th -2))))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 (+.f64 th (.f64 th -2))) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 (*.f64 th -2)) (neg.f64 (sin.f64 th)))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 (*.f64 th -2))))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 (+.f64 th (.f64 th -2))) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -2 th)) (sin.f64 th))) (.f64 (cos.f64 (.f64 -2 th)) (cos.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 (*.f64 th -2)) (neg.f64 (sin.f64 th)))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 (*.f64 th -2))))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 (+.f64 th (.f64 th -2))) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -2 th)) (sin.f64 th))) (.f64 (cos.f64 (.f64 -2 th)) (cos.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 (*.f64 th -2)) (neg.f64 (sin.f64 th)))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 (*.f64 th -2))))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 (+.f64 th (.f64 th -2))) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -2 th)) (sin.f64 th))) (.f64 (cos.f64 (.f64 -2 th)) (cos.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 (*.f64 th -2)) (neg.f64 (sin.f64 th)))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 (*.f64 th -2))))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 (+.f64 th (.f64 th -2))) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -2 th)) (sin.f64 th))) (.f64 (cos.f64 (.f64 -2 th)) (cos.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 (*.f64 th -2)) (neg.f64 (sin.f64 th)))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 (*.f64 th -2))))) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 (+.f64 th (.f64 th -2))) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (pow.f64 a1 2)) (sqrt.f64 2))
(.f64 (pow.f64 a1 2) (/.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 2 th))) (sin.f64 th))) (.f64 (cos.f64 (neg.f64 (.f64 2 th))) (cos.f64 th))) (sqrt.f64 2)))
(.f64 (pow.f64 a1 2) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 (*.f64 th -2)) (neg.f64 (sin.f64 th)))) (sqrt.f64 2)))
(.f64 (pow.f64 a1 2) (/.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (.f64 th -2))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 (*.f64 th -2))))) (sqrt.f64 2)))
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(/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (.f64 1/2 (PI.f64)) th) (+.f64 (.f64 th -2) (.f64 1/2 (PI.f64))))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 th -2) (-.f64 (.f64 1/2 (PI.f64)) th))))) 2)
(.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) th)) (cos.f64 (+.f64 (.f64 th -2) (.f64 1/2 (PI.f64)))))
(/.f64 (.f64 (sin.f64 th) (+.f64 (cos.f64 (+.f64 th (-.f64 (.f64 1/2 (PI.f64)) th))) (cos.f64 (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) th) th)))) 1)
(.f64 (sin.f64 th) (+.f64 (cos.f64 (+.f64 th (-.f64 (.f64 1/2 (PI.f64)) th))) (cos.f64 (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) th) th))))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) 1)
(*.f64 (sin.f64 th) (sin.f64 (+.f64 th th)))
(neg.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))))
(.f64 -1 (.f64 (sin.f64 (neg.f64 (*.f64 2 th))) (sin.f64 th)))
(.f64 (sin.f64 (.f64 th -2)) (neg.f64 (sin.f64 th)))
(.f64 (sin.f64 th) (neg.f64 (sin.f64 (.f64 th -2))))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))

Compiler

Compiled 31 to 12 computations (61.3% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 a2 a2))
✓	0.2b	(.f64 a2 (+.f64 a2 (.f64 2 a2)))
✓	0.4b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 (*.f64 2 a2))))) (sqrt.f64 2))
✓	0.4b	(-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 (*.f64 2 a2)))))

Compiler

Compiled 114 to 57 computations (50% saved)

series5.0ms (0%)

Counts

4 → 72

Calls

18 calls:

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

rewrite118.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`rational_best-1`
1432×	`rational_best-2`
1432×	`rational_best-3`
1426×	`rational_best-4`
1320×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	176
1	123	158
2	209	158
3	335	158
4	617	158
5	1609	158
6	4209	158
7	6164	158

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (+.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 4) (+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (+.f64 (.f64 2 (.f64 a2 a2)) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 4)) (+.f64 (.f64 a1 a1) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2) (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 a1 a1) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) 2) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (sqrt.f64 2)) (/.f64 (.f64 2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (sqrt.f64 2)) (.f64 (.f64 2 (/.f64 1 (sqrt.f64 2))) (-.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 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(.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2) (-.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 2 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sqrt.f64 2)) (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 (.f64 a2 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a2 (.f64 a2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a2 (.f64 a2 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a2 (.f64 a2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a2 (.f64 a2 3)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 a2) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2 (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 2 (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 a2 (neg.f64 a2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (.f64 2 (.f64 a2 a2))))))))

simplify405.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1284×	`rational_best-simplify-1`
1234×	`rational_best-simplify-2`
760×	`rational_best-simplify-53`
756×	`rational_best-simplify-51`
740×	`rational_best-simplify-43`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	300	14640
1	507	14246
2	797	13072
3	1334	11754
4	2758	11056
5	4988	11002
6	6503	8608
7	7054	8608
8	7302	8608
9	7920	8608

Stop Event

1×	node limit

Counts

190 → 304

Calls

Call 1

Inputs
(-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(pow.f64 a2 2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(pow.f64 a2 2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(/.f64 (-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2)) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (*.f64 2 a2) a2) a2) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (*.f64 2 a2) a2) a2) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (*.f64 2 a2) a2) a2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (*.f64 2 a2) a2) a2) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (*.f64 2 a2) a2) a2) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (*.f64 2 a2) a2) a2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (*.f64 2 a2) a2) a2) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (*.f64 2 a2) a2) a2) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (*.f64 2 a2) a2) a2) (sqrt.f64 2)))
(/.f64 (-.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a1 2)) (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 3 (pow.f64 a2 2))
(*.f64 2 (pow.f64 a2 2))
(*.f64 2 (pow.f64 a2 2))
(*.f64 2 (pow.f64 a2 2))
(*.f64 2 (pow.f64 a2 2))
(*.f64 2 (pow.f64 a2 2))
(*.f64 2 (pow.f64 a2 2))
(*.f64 2 (pow.f64 a2 2))
(*.f64 2 (pow.f64 a2 2))
(*.f64 2 (pow.f64 a2 2))
(*.f64 2 (pow.f64 a2 2))
(*.f64 2 (pow.f64 a2 2))
(*.f64 2 (pow.f64 a2 2))
(+.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (+.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))
(+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))))
(+.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) 0)
(+.f64 0 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))))
(+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 4) (+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2))) -2)))
(+.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2))
(+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2)))))
(+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (+.f64 (.f64 2 (.f64 a2 a2)) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))))
(+.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 4)) (+.f64 (.f64 a1 a1) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))
(+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2) (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))))
(+.f64 (+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2))) 4))
(+.f64 (+.f64 (.f64 a1 a1) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 4)))
(+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))))
(+.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2))))
(.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) 1)
(.f64 1 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))
(.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) -1)
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(-.f64 (.f64 (.f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (sqrt.f64 2)) -2) 2) (+.f64 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (sqrt.f64 2)) (.f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (sqrt.f64 2)) -2)))
(-.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (/.f64 -2 (sqrt.f64 2))) 2) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (/.f64 -2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (*.f64 a2 a2) 5))) (neg.f64 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))) (neg.f64 (sqrt.f64 2))) 2) (+.f64 (/.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))) (neg.f64 (sqrt.f64 2))) (.f64 (.f64 2 (/.f64 1 (sqrt.f64 2))) (-.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))) (neg.f64 (sqrt.f64 2))) 2) (+.f64 (/.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))) (neg.f64 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2))) (sqrt.f64 2)) -4)))
(-.f64 (+.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (/.f64 2 (sqrt.f64 2))) (.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))))))
(-.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 4) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (sqrt.f64 2)) 2) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (/.f64 2 (sqrt.f64 2))) (/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 4) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (sqrt.f64 2)) 8) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (sqrt.f64 2)) 8)) (+.f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 6)) (sqrt.f64 2)) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2))) (sqrt.f64 2)) 8)))
(-.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 6)) (neg.f64 (sqrt.f64 2))) (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 6)) (neg.f64 (sqrt.f64 2)))) (+.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) (neg.f64 (sqrt.f64 2))) 8) (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2))) 6)) (neg.f64 (sqrt.f64 2)))))
(.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (/.f64 1 (sqrt.f64 2)))
(.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (-.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 2 (/.f64 -1 (sqrt.f64 2)))))
(.f64 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (sqrt.f64 2)) 1)
(.f64 1 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (sqrt.f64 2)))
(.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (/.f64 -1 (sqrt.f64 2)))
(.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (-.f64 (*.f64 2 (/.f64 -1 (sqrt.f64 2))) (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 4) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 2 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2)))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (.f64 2 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 4) (.f64 2 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2) (-.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 2 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))))))
(.f64 -1 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (sqrt.f64 2)) -1)
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)))
(.f64 (/.f64 -1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) 2) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2))))
(pow.f64 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2))) -2)) (sqrt.f64 2)))
(+.f64 (.f64 a2 (.f64 a2 3)) 0)
(+.f64 0 (.f64 a2 (.f64 a2 3)))
(-.f64 (.f64 a2 (.f64 a2 3)) 0)
(/.f64 (.f64 a2 (.f64 a2 3)) 1)
(pow.f64 (.f64 a2 (.f64 a2 3)) 1)
(+.f64 (.f64 a2 a2) (.f64 a2 a2))
(+.f64 (.f64 2 (.f64 a2 a2)) 0)
(+.f64 0 (.f64 2 (.f64 a2 a2)))
(-.f64 (.f64 2 (.f64 a2 a2)) 0)
(/.f64 (.f64 2 (.f64 a2 a2)) 1)
(pow.f64 (.f64 2 (.f64 a2 a2)) 1)
(fabs.f64 (.f64 2 (.f64 a2 a2)))
(fabs.f64 (.f64 (.f64 a2 (neg.f64 a2)) 2))
(fabs.f64 (-.f64 0 (.f64 2 (.f64 a2 a2))))

Outputs
(-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 a2 (+.f64 a2 (*.f64 a2 2))))
(-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 a2 (+.f64 a2 (+.f64 a2 a2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (*.f64 a2 2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (+.f64 a2 a2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (*.f64 a2 2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (+.f64 a2 a2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (*.f64 a2 2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (+.f64 a2 a2))))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (*.f64 a2 2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (+.f64 a2 a2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (*.f64 a2 2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (+.f64 a2 a2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (*.f64 a2 2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (+.f64 a2 a2))))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (*.f64 a2 2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (+.f64 a2 a2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (*.f64 a2 2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (+.f64 a2 a2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (*.f64 a2 2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 a2 2)) (pow.f64 a1 2)) (.f64 a2 (+.f64 a2 (+.f64 a2 a2))))
(-.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (pow.f64 a2 2) (*.f64 2 (pow.f64 a1 2))) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (pow.f64 a2 2) (*.f64 2 (pow.f64 a1 2))) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (pow.f64 a2 2) (*.f64 2 (pow.f64 a1 2))) (pow.f64 a1 2))
(pow.f64 a2 2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (pow.f64 a2 2) (*.f64 2 (pow.f64 a1 2))) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (pow.f64 a2 2) (*.f64 2 (pow.f64 a1 2))) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (pow.f64 a2 2) (*.f64 2 (pow.f64 a1 2))) (pow.f64 a1 2))
(pow.f64 a2 2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (pow.f64 a2 2) (*.f64 2 (pow.f64 a1 2))) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (pow.f64 a2 2) (*.f64 2 (pow.f64 a1 2))) (pow.f64 a1 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 a1 2)) (pow.f64 a2 2)) (pow.f64 a1 2))
(-.f64 (+.f64 (pow.f64 a2 2) (*.f64 2 (pow.f64 a1 2))) (pow.f64 a1 2))
(/.f64 (-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 (+.f64 (*.f64 2 a2) a2) a2)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 a2 (+.f64 a2 (*.f64 a2 2)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 4 (pow.f64 a2 2)) (.f64 a2 (+.f64 a2 (+.f64 a2 a2)))) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (*.f64 2 a2) a2) a2) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 a2 (/.f64 (+.f64 a2 (*.f64 a2 2)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (+.f64 a2 (*.f64 a2 2)) (/.f64 a2 (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 a2 (/.f64 (+.f64 a2 (*.f64 a2 2)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 a2 (/.f64 (+.f64 a2 (+.f64 a2 a2)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (*.f64 2 a2) a2) a2) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 a2 (/.f64 (+.f64 a2 (*.f64 a2 2)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (+.f64 a2 (*.f64 a2 2)) (/.f64 a2 (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 a2 (/.f64 (+.f64 a2 (*.f64 a2 2)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 a2 (/.f64 (+.f64 a2 (+.f64 a2 a2)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (*.f64 2 a2) a2) a2) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 a2 (/.f64 (+.f64 a2 (*.f64 a2 2)) (sqrt.f64 2))))
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(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (*.f64 a2 (+.f64 a2 a2))))
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(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 2 (.f64 a2 a2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 4) (.f64 2 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2) (-.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 2 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))))))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 -1 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (sqrt.f64 2)) -1)
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (/.f64 -1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) 2) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2))))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(pow.f64 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2)) 1)
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(neg.f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2))) -2)) (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(+.f64 (.f64 a2 (.f64 a2 3)) 0)
(.f64 a2 (.f64 a2 3))
(+.f64 0 (.f64 a2 (.f64 a2 3)))
(.f64 a2 (.f64 a2 3))
(-.f64 (.f64 a2 (.f64 a2 3)) 0)
(.f64 a2 (.f64 a2 3))
(/.f64 (.f64 a2 (.f64 a2 3)) 1)
(.f64 a2 (.f64 a2 3))
(pow.f64 (.f64 a2 (.f64 a2 3)) 1)
(.f64 a2 (.f64 a2 3))
(+.f64 (.f64 a2 a2) (.f64 a2 a2))
(*.f64 a2 (+.f64 a2 a2))
(.f64 a2 (.f64 a2 2))
(+.f64 (.f64 2 (.f64 a2 a2)) 0)
(*.f64 a2 (+.f64 a2 a2))
(.f64 a2 (.f64 a2 2))
(+.f64 0 (.f64 2 (.f64 a2 a2)))
(*.f64 a2 (+.f64 a2 a2))
(.f64 a2 (.f64 a2 2))
(-.f64 (.f64 2 (.f64 a2 a2)) 0)
(*.f64 a2 (+.f64 a2 a2))
(.f64 a2 (.f64 a2 2))
(/.f64 (.f64 2 (.f64 a2 a2)) 1)
(*.f64 a2 (+.f64 a2 a2))
(.f64 a2 (.f64 a2 2))
(pow.f64 (.f64 2 (.f64 a2 a2)) 1)
(*.f64 a2 (+.f64 a2 a2))
(.f64 a2 (.f64 a2 2))
(fabs.f64 (.f64 2 (.f64 a2 a2)))
(*.f64 a2 (+.f64 a2 a2))
(.f64 a2 (.f64 a2 2))
(fabs.f64 (.f64 (.f64 a2 (neg.f64 a2)) 2))
(*.f64 a2 (+.f64 a2 a2))
(.f64 a2 (.f64 a2 2))
(fabs.f64 (-.f64 0 (.f64 2 (.f64 a2 a2))))
(*.f64 a2 (+.f64 a2 a2))
(.f64 a2 (.f64 a2 2))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 23 to 20 computations (13% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`rational_best-1`
1152×	`rational_best-2`
1144×	`rational_best-4`
1144×	`rational_best-3`
1120×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	62	23
2	86	17
3	88	17
4	96	17
5	126	17
6	223	17
7	535	17
8	1935	17
9	3638	17
10	6001	17

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (+.f64 -1 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2)))) (+.f64 -1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2)))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (+.f64 1 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5) (*.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))) (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (-.f64 (*.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (+.f64 (*.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6)) (neg.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6)) (+.f64 (*.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 8) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (+.f64 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 a2 2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (pow.f64 a2 2)) (-.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a2 2) -2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a2 2) -2) (-.f64 (*.f64 (pow.f64 a2 2) -2) (pow.f64 a2 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (pow.f64 a2 2) -2) (pow.f64 a2 2)) (*.f64 (pow.f64 a2 2) -2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a2 2) -2)) (*.f64 2 (pow.f64 a2 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2)))) (*.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5) (*.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 7) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 7) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))))))

simplify129.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1512×	`rational_best-simplify-52`
1174×	`rational_best-simplify-1`
1098×	`rational_best-simplify-2`
960×	`rational_best-simplify-45`
744×	`rational_best-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	114	1239
1	223	1223
2	431	1223
3	809	1223
4	2350	1199
5	6097	1199
6	7610	1199

Stop Event

1×	node limit

Counts

61 → 54

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 (pow.f64 a2 2) (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(+.f64 (.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))))
(+.f64 (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))))
(+.f64 (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))))
(+.f64 (.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (+.f64 -1 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2)))))
(+.f64 (+.f64 1 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2)))) (+.f64 -1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(+.f64 (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) -1)
(+.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5))
(+.f64 (+.f64 -1 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2)))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(+.f64 (+.f64 -1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (+.f64 1 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2)))))
(+.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5) (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 0)
(-.f64 0 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))))
(-.f64 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) 1)
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (-.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (+.f64 (.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2)))))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (neg.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5)))
(-.f64 (neg.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6)) (neg.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 7)))
(-.f64 (neg.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6)) (+.f64 (.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5))
(-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 8) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 7))
(-.f64 (+.f64 (+.f64 1 (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (+.f64 1 (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (+.f64 (+.f64 1 (*.f64 2 (/.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 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1)
(/.f64 (neg.f64 (pow.f64 a2 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) -1)
(/.f64 (-.f64 (.f64 2 (pow.f64 a2 2)) (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) -2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 (pow.f64 a2 2) -2) (-.f64 (.f64 (pow.f64 a2 2) -2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 a2 2) -2) (pow.f64 a2 2)) (.f64 (pow.f64 a2 2) -2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) -2)) (.f64 2 (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2)))) (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) 1)
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2)))) -1)
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5) (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) 1)
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 7) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6)) 1)
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6)) -1)
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 7) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 8)) -1)
(pow.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))

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 (pow.f64 a2 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 0 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (+.f64 -1 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (+.f64 1 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2)))) (+.f64 -1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) -1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) -5))
(.f64 (pow.f64 a2 2) (+.f64 (/.f64 -4 (sqrt.f64 2)) (.f64 5 (/.f64 1 (sqrt.f64 2)))))
(+.f64 (+.f64 -1 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2)))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (+.f64 -1 (*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (+.f64 1 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5) (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))))
(+.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) -5))
(.f64 (pow.f64 a2 2) (+.f64 (/.f64 -4 (sqrt.f64 2)) (.f64 5 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 0 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (*.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 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 3 (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) 1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (-.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (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) (/.f64 -4 (sqrt.f64 2))) (+.f64 (.f64 (pow.f64 a2 2) (/.f64 -2 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (neg.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5)))
(+.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) -5))
(.f64 (pow.f64 a2 2) (+.f64 (/.f64 -4 (sqrt.f64 2)) (.f64 5 (/.f64 1 (sqrt.f64 2)))))
(-.f64 (neg.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6)) (neg.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 7)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (neg.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6)) (+.f64 (.f64 (pow.f64 a2 2) (/.f64 -3 (sqrt.f64 2))) (*.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) -6) (.f64 (pow.f64 a2 2) (+.f64 (/.f64 -4 (sqrt.f64 2)) (/.f64 -3 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) -6) (.f64 (pow.f64 a2 2) (+.f64 (/.f64 -3 (sqrt.f64 2)) (/.f64 -4 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) -6) (.f64 (pow.f64 a2 2) (+.f64 (/.f64 -2 (sqrt.f64 2)) (/.f64 -5 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 8) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 7))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (+.f64 (+.f64 1 (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (+.f64 1 (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (+.f64 (+.f64 1 (*.f64 2 (/.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 (pow.f64 a2 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (neg.f64 (pow.f64 a2 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))) -1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (pow.f64 a2 2)) (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) -2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (pow.f64 a2 2) -2) (-.f64 (.f64 (pow.f64 a2 2) -2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 a2 2) -2) (pow.f64 a2 2)) (.f64 (pow.f64 a2 2) -2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 (pow.f64 a2 2) (.f64 (pow.f64 a2 2) -2)) (.f64 2 (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) (/.f64 -4 (sqrt.f64 2)))) (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) 1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2)))) -1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5) (.f64 (pow.f64 a2 2) (/.f64 4 (sqrt.f64 2)))) 1)
(+.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5))
(-.f64 (.f64 (pow.f64 a2 2) (/.f64 -4 (sqrt.f64 2))) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) -5))
(.f64 (pow.f64 a2 2) (+.f64 (/.f64 -4 (sqrt.f64 2)) (.f64 5 (/.f64 1 (sqrt.f64 2)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 7) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6)) 1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 5) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 6)) -1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 7) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 8)) -1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(pow.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(neg.f64 (/.f64 (pow.f64 a2 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 th) 3)
✓	0.1b	(.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	0.4b	(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
	0.4b	(-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3))

Compiler

Compiled 80 to 36 computations (55% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a2	@	inf	(.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
0.0ms	th	@	0	(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
0.0ms	a2	@	inf	(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
0.0ms	a1	@	inf	(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
0.0ms	a2	@	-inf	(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`rational_best-1`
1860×	`rational_best-2`
1860×	`rational_best-3`
1854×	`rational_best-4`
828×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	80
1	126	68
2	215	68
3	378	68
4	803	68
5	2400	68
6	6377	68

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs

(/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 th) 4) (*.f64 (cos.f64 th) 3)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))

(*.f64 (-.f64 (*.f64 (cos.f64 th) 4) (*.f64 (cos.f64 th) 3)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))

Outputs

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

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

simplify147.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1242×	`rational_best-simplify-51`
1152×	`rational_best-simplify-49`
1116×	`rational_best-simplify-46`
1110×	`rational_best-simplify-2`
1090×	`rational_best-simplify-53`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	132	5570
1	235	4546
2	405	4114
3	673	4090
4	1315	4022
5	2636	3934
6	5320	3934

Stop Event

1×	node limit

Counts

108 → 112

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)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(+.f64 (.f64 (-.f64 (.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 3 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 a2 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (.f64 (-.f64 (.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 3 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 a2 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (.f64 (-.f64 (.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 3 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 a2 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 3 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 3 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 3 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))) (.f64 -1/720 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))))
(.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))) (pow.f64 a2 2))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))) (pow.f64 a2 2))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))) (pow.f64 a2 2))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th))))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(+.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (.f64 (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th))) (pow.f64 a2 2)))
(+.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 0)
(+.f64 0 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(-.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 0)
(-.f64 0 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) 2) (sqrt.f64 2))) (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) 2) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) 2) (sqrt.f64 2)))) (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) 2) (sqrt.f64 2))) (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 0) (sqrt.f64 2))))
(.f64 (cos.f64 th) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 0)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 1 (sqrt.f64 2)))
(.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)
(.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (cos.f64 0))
(.f64 1 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(.f64 -1 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))
(.f64 (cos.f64 0) (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))
(.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))) -1)
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 0) (sqrt.f64 2))) (cos.f64 th))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 0)) (cos.f64 th))
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)
(neg.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))
(+.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(+.f64 0 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(-.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) -1)
(pow.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)

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 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (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 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/2 (/.f64 (pow.f64 th 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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/2 (/.f64 (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 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) -1/2) (/.f64 (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 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 4) (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 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 1/24 (/.f64 (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 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/2 (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 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/2 (pow.f64 th 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 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))))) (+.f64 (/.f64 (pow.f64 a2 2) (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 (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 4) (sqrt.f64 2))))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))) (.f64 -1/720 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (+.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))))) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))))) (.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 1/24 (pow.f64 th 4))))))
(+.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (.f64 -1/2 (pow.f64 th 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (.f64 (cos.f64 th) 1) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (.f64 (cos.f64 th) 1) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (.f64 (cos.f64 th) 1) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (.f64 (cos.f64 th) 1) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (.f64 (cos.f64 th) 1) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (.f64 (cos.f64 th) 1) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (.f64 (cos.f64 th) 1) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (.f64 (cos.f64 th) 1) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (*.f64 3 (cos.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (cos.f64 th) 1))
(*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (.f64 (-.f64 (.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 3 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 a2 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
(.f64 (-.f64 (.f64 4 (cos.f64 th)) (*.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (.f64 (cos.f64 th) 1) (sqrt.f64 2)))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (.f64 (-.f64 (.f64 4 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 3 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 a2 2)) (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 4 (cos.f64 th)) (.f64 3 (cos.f64 th)))) (sqrt.f64 2)))
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(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 -1 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (cos.f64 0) (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 -1 (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))) -1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 0) (sqrt.f64 2))) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -1 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 0)) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(neg.f64 (.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 0 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 0)
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) -1)
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) 1)
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

eval594.0ms (3%)

Compiler: Compiled 25931 to 14966 computations (42.3% saved)

prune481.0ms (2.4%)

Pruning

52 alts after pruning (45 fresh and 7 done)

	Pruned	Kept	Total
New	827	29	856
Fresh	4	16	20
Picked	1	0	1
Done	2	7	9
Total	834	52	886

Error

0.0b

Counts

886 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	39.9b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	40.7b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	25.4b	(/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (+.f64 (.f64 a2 (.f64 5 a2)) (.f64 a1 a1))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (sqrt.f64 2))
	25.4b	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))) (sqrt.f64 2))
	25.5b	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (+.f64 (.f64 a2 (.f64 5 a2)) (.f64 a1 a1))))) (sqrt.f64 2))
▶	25.6b	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
	25.7b	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
	25.5b	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))))) (sqrt.f64 2))
	24.8b	(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 (.f64 a1 2)) (.f64 a1 a1))) (.f64 a1 (.f64 a1 2))) (sqrt.f64 2))
	24.8b	(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (.f64 2 (.f64 a2 a2))) (sqrt.f64 2))
	24.9b	(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (.f64 a1 2) a1))) (.f64 a1 (*.f64 a1 2))) (sqrt.f64 2))
	24.9b	(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 a2 (+.f64 a2 a2))) (sqrt.f64 2))
	25.2b	(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 2 (-.f64 (.f64 (.f64 a2 3) (+.f64 a2 a2)) (.f64 a2 (.f64 a2 5))))) (sqrt.f64 2))
	25.6b	(/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 8)) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
	25.4b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1))))) (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))))) (sqrt.f64 2))
	24.8b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 2)))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 (.f64 a1 2)) (.f64 a1 a1)))) (sqrt.f64 2))
	24.9b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (*.f64 a1 2) a1)))) (sqrt.f64 2))
	25.5b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 7)))) (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 7)) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))) (sqrt.f64 2))
	24.9b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
	25.1b	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5)) (+.f64 (.f64 a1 a1) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2))) (sqrt.f64 2))
▶	25.3b	(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2)) (sqrt.f64 2))
	25.2b	(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2)) (sqrt.f64 2))
	24.9b	(/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 4)) (+.f64 (.f64 a1 a1) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))))) (sqrt.f64 2))
	25.1b	(/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2))) 4)) (sqrt.f64 2))
✓	24.7b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	25.1b	(/.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 7)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2))) (sqrt.f64 2))
▶	0.4b	(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2))
	0.6b	(/.f64 (.f64 (+.f64 (.f64 (cos.f64 th) 5) (.f64 (cos.f64 th) -4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
	0.7b	(-.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))
	46.8b	(-.f64 (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) 1)
▶	37.3b	(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)
	24.9b	(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3))
▶	24.9b	(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)))
	25.4b	(+.f64 (/.f64 (-.f64 (neg.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 6))) (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2)))) 8)) (sqrt.f64 2)) 0)
	24.9b	(+.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (sqrt.f64 2)) (/.f64 (.f64 (*.f64 a2 a2) -2) (sqrt.f64 2)))
✓	0.5b	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.7b	(.f64 (/.f64 (+.f64 (.f64 (cos.f64 th) 5) (.f64 (cos.f64 th) -4)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	39.9b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
	25.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 4) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))))))
	24.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (*.f64 a2 (+.f64 a2 a2))))
	25.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 2 (-.f64 (.f64 (.f64 a2 3) (+.f64 a2 a2)) (.f64 a2 (*.f64 a2 5))))))
	25.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))
✓	24.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(.f64 (-.f64 (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(.f64 (-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
	0.5b	(.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
	0.8b	(.f64 (cos.f64 th) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3)))
	0.8b	(.f64 (cos.f64 th) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2))))

Compiler

Compiled 2946 to 1929 computations (34.5% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))
✓	0.2b	(-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2))))
✓	0.2b	(*.f64 (cos.f64 th) (cos.f64 (+.f64 th th)))
✓	0.4b	(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2))

Compiler

Compiled 119 to 44 computations (63% saved)

series15.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	th	@	0	(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2))
1.0ms	a2	@	0	(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2))
1.0ms	th	@	0	(.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))
1.0ms	th	@	-inf	(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2))
1.0ms	th	@	inf	(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2088×	`rational_best-1`
2084×	`rational_best-2`
2084×	`rational_best-3`
2082×	`rational_best-4`
672×	`rational_best-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	170
1	171	170
2	434	170
3	1278	94
4	5071	94

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2))) (/.f64 0 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 0 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (sqrt.f64 2))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 (neg.f64 th))) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)))) (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2))) (/.f64 0 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 (neg.f64 th))) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (neg.f64 th)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 (neg.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 (neg.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (neg.f64 th)) (cos.f64 (.f64 th -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (sin.f64 th) (sin.f64 (+.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (neg.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (neg.f64 th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (neg.f64 th)) 1/2) (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (cos.f64 (.f64 th 3)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (neg.f64 th)) 1/2) (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (cos.f64 (.f64 th -3)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))) (-.f64 0 (.f64 (sin.f64 (.f64 th -2)) (.f64 (sin.f64 th) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (cos.f64 (.f64 th 3)) 1/2)) (.f64 (cos.f64 (neg.f64 th)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (neg.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (neg.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (+.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th))) (-.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (-.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th))) (+.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (neg.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (neg.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th))) (-.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th))) (+.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (neg.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (neg.f64 th)) (-.f64 (+.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th))) (cos.f64 (.f64 th -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th))) (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (.f64 th -2) (-.f64 (-.f64 (.f64 (PI.f64) 1/2) th) (.f64 (PI.f64) 1/2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th))) (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 th (.f64 (PI.f64) 1/2))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (cos.f64 (neg.f64 th)) (cos.f64 (.f64 th 3))) (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (neg.f64 th)) (-.f64 (cos.f64 (.f64 th -3)) (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3))) (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (.f64 th -2) (-.f64 (-.f64 (.f64 (PI.f64) 1/2) th) (.f64 (PI.f64) 1/2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3))) (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 th (.f64 (PI.f64) 1/2))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th))) (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (cos.f64 (.f64 th -3)) (cos.f64 (neg.f64 th))) (+.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (cos.f64 (.f64 th -3)) (cos.f64 (neg.f64 th))) (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (.f64 th -2) (-.f64 (-.f64 (.f64 (PI.f64) 1/2) th) (.f64 (PI.f64) 1/2))))) (+.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (.f64 th -2) (-.f64 (-.f64 (.f64 (PI.f64) 1/2) th) (.f64 (PI.f64) 1/2))))) (+.f64 (cos.f64 th) (cos.f64 (.f64 th 3)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 th (.f64 (PI.f64) 1/2)))))) (+.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 th (.f64 (PI.f64) 1/2)))))) (+.f64 (cos.f64 th) (cos.f64 (*.f64 th 3)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (neg.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (neg.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (neg.f64 th))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1/2) (-.f64 (.f64 (cos.f64 (.f64 th 3)) 1/2) (.f64 (cos.f64 th) (/.f64 (cos.f64 (.f64 th -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1/2) (-.f64 (.f64 (cos.f64 (.f64 th -3)) 1/2) (.f64 (cos.f64 th) (/.f64 (cos.f64 (.f64 th -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (sin.f64 th) (sin.f64 (+.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 th 3)) 1/2) (.f64 (cos.f64 (neg.f64 th)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 th -3)) 1/2) (.f64 (cos.f64 (neg.f64 th)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1/2) (-.f64 (.f64 (cos.f64 th) (/.f64 (cos.f64 (.f64 th -2)) 2)) (.f64 (cos.f64 (.f64 th 3)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1/2) (-.f64 (.f64 (cos.f64 th) (/.f64 (cos.f64 (.f64 th -2)) 2)) (.f64 (cos.f64 (.f64 th -3)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1/2) (/.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (.f64 th 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1/2) (/.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (.f64 th -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 th 3)) (cos.f64 0)) (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (neg.f64 th)) -2) (/.f64 (cos.f64 (.f64 th 3)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 (.f64 th 3)) 1/2) (.f64 (cos.f64 (.f64 th 3)) 1/2)) (+.f64 (.f64 (cos.f64 (.f64 th 3)) 1/2) (.f64 (cos.f64 (neg.f64 th)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (.f64 th -3)) (cos.f64 (neg.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (.f64 th -2) (-.f64 (-.f64 (.f64 (PI.f64) 1/2) th) (.f64 (PI.f64) 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 th (.f64 (PI.f64) 1/2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (neg.f64 th)) (cos.f64 (.f64 th 3))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (neg.f64 th)) (cos.f64 (.f64 th -3))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1)))))

simplify451.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1068×	`rational_best-simplify-2`
656×	`rational_best-simplify-1`
618×	`rational_best-simplify-49`
618×	`rational_best-simplify-53`
538×	`rational_best-simplify-54`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	290	8182
1	583	8164
2	1103	8160
3	2287	8134
4	5898	7866
5	7843	7862

Stop Event

1×	node limit

Counts

154 → 223

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)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th)))) (sqrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 (.f64 -2 th))) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 (.f64 -2 th))) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 (.f64 -2 th))) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 (.f64 -2 th))) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th)))) (sqrt.f64 2))
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(+.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1/2) (-.f64 (.f64 (cos.f64 (.f64 th -3)) 1/2) (.f64 (cos.f64 th) (/.f64 (cos.f64 (*.f64 th -2)) 2))))
(-.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 0)
(-.f64 0 (*.f64 (sin.f64 th) (sin.f64 (+.f64 th th))))
(-.f64 (.f64 (cos.f64 (.f64 th 3)) 1/2) (*.f64 (cos.f64 (neg.f64 th)) 1/2))
(-.f64 (.f64 (cos.f64 (.f64 th -3)) 1/2) (*.f64 (cos.f64 (neg.f64 th)) 1/2))
(-.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1/2) (-.f64 (.f64 (cos.f64 th) (/.f64 (cos.f64 (.f64 th -2)) 2)) (.f64 (cos.f64 (*.f64 th 3)) 1/2)))
(-.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1/2) (-.f64 (.f64 (cos.f64 th) (/.f64 (cos.f64 (.f64 th -2)) 2)) (.f64 (cos.f64 (*.f64 th -3)) 1/2)))
(-.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1/2) (/.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (*.f64 th 3))) 2))
(-.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1/2) (/.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (*.f64 th -3))) 2))
(-.f64 (.f64 (cos.f64 (.f64 th 3)) (cos.f64 0)) (*.f64 (cos.f64 th) (cos.f64 (+.f64 th th))))
(-.f64 (/.f64 (cos.f64 (neg.f64 th)) -2) (/.f64 (cos.f64 (*.f64 th 3)) -2))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 th 3)) 1/2) (.f64 (cos.f64 (.f64 th 3)) 1/2)) (+.f64 (.f64 (cos.f64 (.f64 th 3)) 1/2) (*.f64 (cos.f64 (neg.f64 th)) 1/2)))
(/.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1)
(/.f64 (-.f64 (cos.f64 (*.f64 th 3)) (cos.f64 (neg.f64 th))) 2)
(/.f64 (-.f64 (cos.f64 (*.f64 th -3)) (cos.f64 (neg.f64 th))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (.f64 th -2) (-.f64 (-.f64 (.f64 (PI.f64) 1/2) th) (*.f64 (PI.f64) 1/2))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 th (.f64 (PI.f64) 1/2)))))) 2)
(/.f64 (-.f64 (cos.f64 (neg.f64 th)) (cos.f64 (*.f64 th 3))) -2)
(/.f64 (-.f64 (cos.f64 (neg.f64 th)) (cos.f64 (*.f64 th -3))) -2)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) -1)
(pow.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1)

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 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 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 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/2 (/.f64 (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 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))))
(+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (*.f64 1/24 (pow.f64 th 4))))))
(+.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 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))))) (+.f64 (/.f64 (pow.f64 a2 2) (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 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (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 a1 2)) (/.f64 (pow.f64 th 6) (sqrt.f64 2))))))
(+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))))) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))) (+.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))))) (.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6))))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 (.f64 -2 th))) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 (.f64 -2 th))) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 (.f64 -2 th))) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (neg.f64 (.f64 -2 th))) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))))
(/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 (*.f64 -2 th)) (sin.f64 th)))) (sqrt.f64 2))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (pow.f64 a1 2) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 (.f64 -2 th)) (sin.f64 th)))) (sqrt.f64 2)) (.f64 (-.f64 (/.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (sin.f64 (.f64 -2 th)) (sin.f64 th)) (sqrt.f64 2))) (pow.f64 a2 2)))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 (.f64 -2 th)) (sin.f64 th)))) (sqrt.f64 2)) (.f64 (-.f64 (/.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (sin.f64 (.f64 -2 th)) (sin.f64 th)) (sqrt.f64 2))) (pow.f64 a2 2)))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
(.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (sqrt.f64 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 (.f64 -2 th)) (sin.f64 th)))) (sqrt.f64 2)) (.f64 (-.f64 (/.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (sin.f64 (.f64 -2 th)) (sin.f64 th)) (sqrt.f64 2))) (pow.f64 a2 2)))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 2 th)) (cos.f64 th)) (.f64 (sin.f64 th) (sin.f64 (*.f64 th -2)))) (/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2)))
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(-.f64 (.f64 (sin.f64 (.f64 th -2)) (.f64 (sin.f64 th) 1/2)) (/.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (*.f64 th 3))) 2))
(+.f64 (.f64 (sin.f64 th) (.f64 1/2 (sin.f64 (.f64 th -2)))) (/.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (*.f64 th 3))) -2))
(+.f64 (.f64 (sin.f64 th) (.f64 1/2 (sin.f64 (.f64 th -2)))) (/.f64 (-.f64 (cos.f64 (.f64 th 3)) (*.f64 (cos.f64 th) (cos.f64 (+.f64 th th)))) 2))
(-.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1/2) (/.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (*.f64 th -3))) 2))
(-.f64 (.f64 1/2 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))) (/.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (*.f64 th -3))) 2))
(-.f64 (.f64 (sin.f64 (.f64 th -2)) (.f64 1/2 (sin.f64 th))) (/.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (*.f64 th -3))) 2))
(-.f64 (.f64 (sin.f64 (.f64 th -2)) (.f64 (sin.f64 th) 1/2)) (/.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (cos.f64 (*.f64 th -3))) 2))
(+.f64 (.f64 (sin.f64 th) (.f64 1/2 (sin.f64 (.f64 th -2)))) (/.f64 (-.f64 (cos.f64 (.f64 th -3)) (*.f64 (cos.f64 th) (cos.f64 (+.f64 th th)))) 2))
(-.f64 (.f64 (cos.f64 (.f64 th 3)) (cos.f64 0)) (*.f64 (cos.f64 th) (cos.f64 (+.f64 th th))))
(-.f64 (cos.f64 (.f64 th 3)) (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))))
(-.f64 (/.f64 (cos.f64 (neg.f64 th)) -2) (/.f64 (cos.f64 (*.f64 th 3)) -2))
(/.f64 (-.f64 (cos.f64 (*.f64 th 3)) (cos.f64 (neg.f64 th))) 2)
(/.f64 (-.f64 (cos.f64 (neg.f64 th)) (cos.f64 (*.f64 th 3))) -2)
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 th 3)) 1/2) (.f64 (cos.f64 (.f64 th 3)) 1/2)) (+.f64 (.f64 (cos.f64 (.f64 th 3)) 1/2) (*.f64 (cos.f64 (neg.f64 th)) 1/2)))
(-.f64 (.f64 (cos.f64 (.f64 th 3)) 1/2) (*.f64 (cos.f64 (neg.f64 th)) 1/2))
(.f64 1/2 (-.f64 (cos.f64 (.f64 th 3)) (cos.f64 (neg.f64 th))))
(/.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1)
(.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))
(/.f64 (-.f64 (cos.f64 (*.f64 th 3)) (cos.f64 (neg.f64 th))) 2)
(/.f64 (-.f64 (cos.f64 (neg.f64 th)) (cos.f64 (*.f64 th 3))) -2)
(/.f64 (-.f64 (cos.f64 (*.f64 th -3)) (cos.f64 (neg.f64 th))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (.f64 th -2) (-.f64 (-.f64 (.f64 (PI.f64) 1/2) th) (*.f64 (PI.f64) 1/2))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) th)))) (cos.f64 (+.f64 (.f64 th -2) (-.f64 (-.f64 (.f64 1/2 (PI.f64)) th) (*.f64 1/2 (PI.f64)))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) th) (+.f64 th (+.f64 th (.f64 1/2 (PI.f64)))))) (cos.f64 (+.f64 (.f64 th -2) (-.f64 (-.f64 (.f64 1/2 (PI.f64)) th) (*.f64 1/2 (PI.f64)))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 th (+.f64 th (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) th))))) (cos.f64 (+.f64 (.f64 th -2) (-.f64 (-.f64 (.f64 1/2 (PI.f64)) th) (*.f64 1/2 (PI.f64)))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 th (+.f64 th (-.f64 (.f64 1/2 (PI.f64)) (-.f64 th (.f64 1/2 (PI.f64))))))) (cos.f64 (+.f64 (.f64 th -2) (-.f64 (-.f64 (.f64 1/2 (PI.f64)) th) (*.f64 1/2 (PI.f64)))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) th)))) (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 th (.f64 (PI.f64) 1/2)))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) th)))) (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 1/2 (PI.f64)) (-.f64 th (.f64 1/2 (PI.f64))))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (.f64 1/2 (PI.f64)) th) (+.f64 th (+.f64 th (.f64 1/2 (PI.f64)))))) (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 1/2 (PI.f64)) (-.f64 th (.f64 1/2 (PI.f64))))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 th (+.f64 th (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (.f64 1/2 (PI.f64)) th))))) (cos.f64 (+.f64 (+.f64 th th) (+.f64 (.f64 1/2 (PI.f64)) (-.f64 th (.f64 1/2 (PI.f64))))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 th (+.f64 th (-.f64 (.f64 1/2 (PI.f64)) (-.f64 th (.f64 1/2 (PI.f64))))))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 (+.f64 th th) (-.f64 th (.f64 1/2 (PI.f64))))))) 2)
(/.f64 (-.f64 (cos.f64 (neg.f64 th)) (cos.f64 (*.f64 th 3))) -2)
(/.f64 (-.f64 (cos.f64 (*.f64 th 3)) (cos.f64 (neg.f64 th))) 2)
(/.f64 (-.f64 (cos.f64 (neg.f64 th)) (cos.f64 (*.f64 th -3))) -2)
(/.f64 (-.f64 (cos.f64 (*.f64 th -3)) (cos.f64 (neg.f64 th))) 2)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 (+.f64 th th))) -1)
(neg.f64 (*.f64 (sin.f64 th) (sin.f64 (+.f64 th th))))
(*.f64 (sin.f64 (+.f64 th th)) (neg.f64 (sin.f64 th)))
(*.f64 (sin.f64 th) (neg.f64 (sin.f64 (+.f64 th th))))
(pow.f64 (.f64 (sin.f64 th) (sin.f64 (.f64 th -2))) 1)
(.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
✓	2.3b	(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)

Compiler

Compiled 58 to 25 computations (56.9% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a1	@	0	(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)
0.0ms	a2	@	0	(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)
0.0ms	a1	@	inf	(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)
0.0ms	a2	@	inf	(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)
0.0ms	a1	@	-inf	(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`rational_best-simplify-46`
1562×	`rational_best-1`
1554×	`rational_best-2`
1552×	`rational_best-4`
1552×	`rational_best-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	92	41
2	138	29
3	172	29
4	227	29
5	374	29
6	928	29
7	2958	29
8	6087	29

Stop Event

1×	node limit

Counts

1 → 67

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 -1 (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 -1 (-.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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((x +.f64 (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -1)) (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4) -1) (-.f64 1 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 4)) 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2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))) (-.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (*.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (+.f64 -1 (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (+.f64 -1 (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -1))) (-.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (*.f64 (+.f64 -1 (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) 2) (-.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) 2) (-.f64 0 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2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -1) (+.f64 -1 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (-.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (*.f64 (+.f64 -1 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 1 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (neg.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 1 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (-.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) (*.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (-.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 2 (/.f64 -1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (-.f64 (*.f64 (/.f64 1 (sqrt.f64 2)) 3) (*.f64 2 (/.f64 1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 2 (/.f64 1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 3) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (-.f64 (*.f64 2 (/.f64 -1 (sqrt.f64 2))) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 2 (/.f64 -1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) (-.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) -2) (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))))))

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1318×	`rational_best-simplify-2`
1090×	`rational_best-simplify-1`
1082×	`rational_best-simplify-50`
1060×	`rational_best-simplify-55`
864×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	3135
1	293	3135
2	546	3135
3	1337	3135
4	2321	3135
5	3455	3135
6	5744	3135
7	7210	3135

Stop Event

1×	node limit

Counts

91 → 84

Calls

Call 1

Inputs
(/.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)))
(+.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)))
(+.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)))
(+.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 1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1))
(+.f64 2 (+.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1)))
(+.f64 2 (-.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 0)
(+.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) -1)
(+.f64 0 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 -1 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1) 1)
(+.f64 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) -2)
(+.f64 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (.f64 2 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(+.f64 -2 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))
(+.f64 -2 (-.f64 1 (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(+.f64 (+.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1)) 2)
(+.f64 (+.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (.f64 2 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1))))
(+.f64 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(+.f64 (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (-.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (-.f64 -1 (.f64 2 (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))))
(+.f64 (-.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))
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(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3))
(+.f64 (.f64 2 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) (neg.f64 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))
(+.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1)) (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) 2))
(+.f64 (+.f64 1 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) -3)
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2))
(+.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) -1) (-.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3)))
(+.f64 (+.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4)) (-.f64 -1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3)))
(+.f64 (-.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4))
(+.f64 (+.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (-.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(+.f64 (+.f64 2 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) -4)
(+.f64 (+.f64 2 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (.f64 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 2)))
(+.f64 (+.f64 -2 (+.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1))) 4)
(+.f64 (+.f64 -2 (+.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1))) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (.f64 (+.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1)) 2)))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) 2) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) 2))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) 2) (-.f64 0 (.f64 (-.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))) 2)))
(+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (.f64 2 (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (.f64 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) 2)))
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1) (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (.f64 2 (-.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1) (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (.f64 (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) 2)))
(+.f64 (+.f64 1 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (neg.f64 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))
(+.f64 (+.f64 1 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (.f64 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) 2)))
(.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2)))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (-.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 2 (/.f64 -1 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 3) (*.f64 2 (/.f64 1 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 -1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 2 (/.f64 1 (sqrt.f64 2)))))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1)
(.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2)))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 -1 (sqrt.f64 2)))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (-.f64 (.f64 2 (/.f64 -1 (sqrt.f64 2))) (/.f64 -1 (sqrt.f64 2))))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (/.f64 1 (sqrt.f64 2)) (.f64 2 (/.f64 -1 (sqrt.f64 2)))))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) -1)
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)
(/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) -1)
(pow.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))

Outputs
(/.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 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 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 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 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 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 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 a1 2) (sqrt.f64 2)) (/.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 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 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 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 2 (+.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 2 (-.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 0)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) -1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 0 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 -1 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) -2)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (.f64 2 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 -2 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 -2 (-.f64 1 (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1)) 2)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (.f64 2 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (-.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (-.f64 -1 (.f64 2 (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))))
(+.f64 (-.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (-.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (-.f64 1 (.f64 2 (-.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 2 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) (neg.f64 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1)) (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) 2))
(+.f64 2 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) (.f64 2 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -1))))
(+.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1)) (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))
(+.f64 2 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (.f64 2 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -1))))
(+.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1)) (+.f64 2 (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))
(+.f64 (+.f64 1 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) -3)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) -1) (-.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4)) (-.f64 -1 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (-.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -3) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
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(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 2 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) -4)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
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(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 -2 (+.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1))) 4)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
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(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
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(+.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1)) (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))
(+.f64 2 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (.f64 2 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -1))))
(+.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1)) (+.f64 2 (neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))
(+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (.f64 2 (-.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (.f64 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1) (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (.f64 2 (-.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -1) (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (.f64 (+.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 1 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (neg.f64 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (+.f64 1 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (.f64 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))) 2)))
(+.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) 2) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (.f64 2 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))))
(+.f64 2 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (.f64 2 (+.f64 1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))))))
(+.f64 2 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (.f64 2 (+.f64 1 (.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))))))))
(.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (-.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 2 (/.f64 -1 (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 2)) 3) (*.f64 2 (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 -1 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 2 (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 -1 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (-.f64 (.f64 2 (/.f64 -1 (sqrt.f64 2))) (/.f64 -1 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (/.f64 1 (sqrt.f64 2)) (.f64 2 (/.f64 -1 (sqrt.f64 2)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) -1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 -1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))) -1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(pow.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(neg.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))
✓	0.2b	(.f64 a2 (.f64 a2 3))
✓	0.4b	(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2)) (sqrt.f64 2))
✓	1.0b	(+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2))

Compiler

Compiled 131 to 57 computations (56.5% saved)

series5.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a2	@	0	(+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2))
1.0ms	a1	@	0	(+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2))
0.0ms	a1	@	inf	(*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))
0.0ms	a2	@	0	(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2)) (sqrt.f64 2))
0.0ms	a2	@	inf	(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2)) (sqrt.f64 2))

rewrite124.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`rational_best-1`
1538×	`rational_best-2`
1530×	`rational_best-3`
906×	`rational_best-simplify-51`
882×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	188
1	151	188
2	216	188
3	273	170
4	322	170
5	440	170
6	790	170
7	2226	170
8	4234	170
9	7153	170

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2)) (sqrt.f64 2))
(.f64 a2 (.f64 a2 3))
(*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))) (.f64 -2 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -4)) (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)) 4) (.f64 3 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -2 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))) (.f64 (neg.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -2 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))) (/.f64 (.f64 3 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 3 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))) (+.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2) (.f64 a2 (.f64 a2 14)))) 2) (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2) (.f64 a2 (.f64 a2 14))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2) (.f64 a1 (.f64 a1 6)))) 2) (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2) (.f64 a1 (.f64 a1 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 14)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2) (.f64 a1 (.f64 a1 6)))) 2) (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (+.f64 (.f64 a2 (.f64 a2 14)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2) (.f64 a1 (.f64 a1 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -4))) 2) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2) (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -4)) (.f64 a2 (.f64 a2 14))) 2) (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)) (+.f64 (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -4)) (.f64 a2 (.f64 a2 14)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -4)) (.f64 a1 (.f64 a1 6))) 2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a1 (.f64 a1 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a1 (.f64 a1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a1 (.f64 a1 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a1 (.f64 a1 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (.f64 a1 (neg.f64 a1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a1 (.f64 a1 3)) 1)))))

simplify422.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1084×	`rational_best-simplify-2`
1038×	`rational_best-simplify-1`
1024×	`rational_best-simplify-51`
822×	`rational_best-simplify-47`
628×	`rational_best-simplify-55`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	319	13283
1	645	12633
2	1183	12153
3	2692	11793
4	4875	11673
5	6441	11673
6	6973	11673
7	7363	11673
8	7990	11673

Stop Event

1×	node limit

Counts

185 → 255

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2)))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
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(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (pow.f64 a1 2) (.f64 7 (pow.f64 a2 2))))
(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (pow.f64 a1 2) (.f64 7 (pow.f64 a2 2))))
(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (pow.f64 a1 2) (.f64 7 (pow.f64 a2 2))))
(pow.f64 a1 2)
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(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (.f64 7 (pow.f64 a2 2)) (pow.f64 a1 2)))
(pow.f64 a1 2)
(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (.f64 7 (pow.f64 a2 2)) (pow.f64 a1 2)))
(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (.f64 7 (pow.f64 a2 2)) (pow.f64 a1 2)))
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(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (.f64 a1 (+.f64 a1 (*.f64 2 a1))) (sqrt.f64 2))))
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(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
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(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (.f64 a1 (+.f64 a1 (*.f64 2 a1))) (sqrt.f64 2))))
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(+.f64 (.f64 7 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (.f64 -6 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
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(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)) 4) (-.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)) (.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2)) 4))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)) 4) (.f64 (neg.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2))) 3)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 -2 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))) (.f64 3 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 -2 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))) (-.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)) (.f64 -2 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2))))))
(.f64 (neg.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2))) (/.f64 -1 (sqrt.f64 2)))
(.f64 (neg.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))) (+.f64 (.f64 3 (/.f64 1 (sqrt.f64 2))) (*.f64 2 (/.f64 -2 (sqrt.f64 2)))))
(.f64 (neg.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2))) (+.f64 (/.f64 2 (sqrt.f64 2)) (-.f64 (/.f64 -2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (neg.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))) (+.f64 (/.f64 2 (sqrt.f64 2)) (.f64 (/.f64 -1 (sqrt.f64 2)) 3)))
(.f64 -1 (/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2)) (neg.f64 (sqrt.f64 2))))
(.f64 (/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2)) (neg.f64 (sqrt.f64 2))) -1)
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (.f64 3 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))) (.f64 2 (.f64 -2 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -4)) (-.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)) (.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2)) 4))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -4)) (.f64 (neg.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2))) 3)))
(pow.f64 (/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)) (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)) (neg.f64 (sqrt.f64 2))))
(+.f64 (.f64 (.f64 a2 a2) 3) 0)
(+.f64 0 (.f64 (.f64 a2 a2) 3))
(-.f64 (.f64 (.f64 a2 a2) 3) 0)
(/.f64 (.f64 (.f64 a2 a2) 3) 1)
(/.f64 (.f64 3 (.f64 a2 (neg.f64 a2))) -1)
(pow.f64 (.f64 (.f64 a2 a2) 3) 1)
(+.f64 (.f64 a1 (.f64 a1 3)) 0)
(+.f64 0 (.f64 a1 (.f64 a1 3)))
(-.f64 (.f64 a1 (.f64 a1 3)) 0)
(/.f64 (.f64 a1 (.f64 a1 3)) 1)
(/.f64 (.f64 3 (.f64 a1 (neg.f64 a1))) -1)
(pow.f64 (.f64 a1 (.f64 a1 3)) 1)

Outputs
(+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2)))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 a1 (+.f64 a1 (*.f64 a1 2))))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 a1 (*.f64 a1 3)))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 a1 (+.f64 a1 (.f64 a1 2))) (+.f64 (*.f64 -2 (pow.f64 a1 2)) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (*.f64 a1 3))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 a1 (+.f64 a1 (.f64 a1 2))) (+.f64 (*.f64 -2 (pow.f64 a1 2)) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (*.f64 a1 3))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 a1 (+.f64 a1 (.f64 a1 2))) (+.f64 (*.f64 -2 (pow.f64 a1 2)) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (*.f64 a1 3))))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 a1 (+.f64 a1 (.f64 a1 2))) (+.f64 (*.f64 -2 (pow.f64 a1 2)) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (*.f64 a1 3))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 a1 (+.f64 a1 (.f64 a1 2))) (+.f64 (*.f64 -2 (pow.f64 a1 2)) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (*.f64 a1 3))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 a1 (+.f64 a1 (.f64 a1 2))) (+.f64 (*.f64 -2 (pow.f64 a1 2)) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (*.f64 a1 3))))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 a1 (+.f64 a1 (.f64 a1 2))) (+.f64 (*.f64 -2 (pow.f64 a1 2)) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (*.f64 a1 3))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 a1 (+.f64 a1 (.f64 a1 2))) (+.f64 (*.f64 -2 (pow.f64 a1 2)) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (*.f64 a1 3))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (*.f64 -2 (pow.f64 a1 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 a1 (+.f64 a1 (.f64 a1 2))) (+.f64 (*.f64 -2 (pow.f64 a1 2)) (pow.f64 a2 2)))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))))
(+.f64 (.f64 -2 (pow.f64 a1 2)) (+.f64 (pow.f64 a2 2) (.f64 a1 (*.f64 a1 3))))
(+.f64 (.f64 -6 (pow.f64 a2 2)) (.f64 7 (pow.f64 a2 2)))
(pow.f64 a2 2)
(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (pow.f64 a1 2) (.f64 7 (pow.f64 a2 2))))
(+.f64 (.f64 (pow.f64 a2 2) -6) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 7)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (pow.f64 a1 2) (.f64 7 (pow.f64 a2 2))))
(+.f64 (.f64 (pow.f64 a2 2) -6) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 7)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (pow.f64 a1 2) (.f64 7 (pow.f64 a2 2))))
(+.f64 (.f64 (pow.f64 a2 2) -6) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 7)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(pow.f64 a1 2)
(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (.f64 7 (pow.f64 a2 2)) (pow.f64 a1 2)))
(+.f64 (.f64 (pow.f64 a2 2) -6) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 7)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (.f64 7 (pow.f64 a2 2)) (pow.f64 a1 2)))
(+.f64 (.f64 (pow.f64 a2 2) -6) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 7)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (.f64 7 (pow.f64 a2 2)) (pow.f64 a1 2)))
(+.f64 (.f64 (pow.f64 a2 2) -6) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 7)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(pow.f64 a1 2)
(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (.f64 7 (pow.f64 a2 2)) (pow.f64 a1 2)))
(+.f64 (.f64 (pow.f64 a2 2) -6) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 7)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (.f64 7 (pow.f64 a2 2)) (pow.f64 a1 2)))
(+.f64 (.f64 (pow.f64 a2 2) -6) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 7)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(+.f64 (.f64 -6 (pow.f64 a2 2)) (+.f64 (.f64 7 (pow.f64 a2 2)) (pow.f64 a1 2)))
(+.f64 (.f64 (pow.f64 a2 2) -6) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a2 2) 7)))
(+.f64 (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) 1))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(/.f64 (+.f64 (.f64 a1 (+.f64 a1 (.f64 2 a1))) (*.f64 -2 (pow.f64 a1 2))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 a1 (+.f64 a1 (*.f64 a1 2)))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 -2 (pow.f64 a1 2)) (.f64 a1 (*.f64 a1 3))) (sqrt.f64 2))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 a1 (*.f64 2 a1)) a1) (sqrt.f64 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (.f64 a1 (+.f64 a1 (*.f64 a1 2))) (sqrt.f64 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 a1 (/.f64 (+.f64 a1 (*.f64 a1 2)) (sqrt.f64 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (.f64 a1 (*.f64 a1 3)) (sqrt.f64 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 a1 (*.f64 2 a1)) a1) (sqrt.f64 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (.f64 a1 (+.f64 a1 (*.f64 a1 2))) (sqrt.f64 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 a1 (/.f64 (+.f64 a1 (*.f64 a1 2)) (sqrt.f64 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (.f64 a1 (*.f64 a1 3)) (sqrt.f64 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 a1 (*.f64 2 a1)) a1) (sqrt.f64 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (.f64 a1 (+.f64 a1 (*.f64 a1 2))) (sqrt.f64 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 a1 (/.f64 (+.f64 a1 (*.f64 a1 2)) (sqrt.f64 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (.f64 a1 (*.f64 a1 3)) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (.f64 a1 (+.f64 a1 (*.f64 2 a1))) (sqrt.f64 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (.f64 a1 (+.f64 a1 (*.f64 a1 2))) (sqrt.f64 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 a1 (/.f64 (+.f64 a1 (*.f64 a1 2)) (sqrt.f64 2)))))
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(.f64 (neg.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 3 a2)))))) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 -3 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))))) (neg.f64 (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 -3 (sqrt.f64 2)))))
(neg.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))))) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 -3 (sqrt.f64 2)))))
(.f64 -1 (/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2)) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 3 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))) (sqrt.f64 2))
(.f64 (/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2)) (neg.f64 (sqrt.f64 2))) -1)
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 3 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))) (sqrt.f64 2))
(.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2))))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 3 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))) (sqrt.f64 2))
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (.f64 3 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))) (.f64 2 (.f64 -2 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2))))))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 3 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))) (sqrt.f64 2))
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -4)) (-.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)) (.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2)) 4))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))) -4)) (-.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))))) (.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (*.f64 a2 a2))))) 4))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 3 a2))) -4) (.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 3 a2))))) -3))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -4) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))))) -3))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) 2) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -4)) (.f64 (neg.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2))) 3)))
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))) -4)) (-.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))))) (.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (*.f64 a2 a2))))) 4))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 3 a2))) -4) (.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 3 a2))))) -3))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (+.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -4) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))))) -3))))
(pow.f64 (/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)) (sqrt.f64 2)) 1)
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 3 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))) (sqrt.f64 2))
(neg.f64 (/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2)) (neg.f64 (sqrt.f64 2))))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 3 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))) (sqrt.f64 2))
(+.f64 (.f64 (.f64 a2 a2) 3) 0)
(.f64 3 (.f64 a2 a2))
(.f64 a2 (.f64 3 a2))
(.f64 a2 (.f64 a2 3))
(+.f64 0 (.f64 (.f64 a2 a2) 3))
(.f64 3 (.f64 a2 a2))
(.f64 a2 (.f64 3 a2))
(.f64 a2 (.f64 a2 3))
(-.f64 (.f64 (.f64 a2 a2) 3) 0)
(.f64 3 (.f64 a2 a2))
(.f64 a2 (.f64 3 a2))
(.f64 a2 (.f64 a2 3))
(/.f64 (.f64 (.f64 a2 a2) 3) 1)
(.f64 3 (.f64 a2 a2))
(.f64 a2 (.f64 3 a2))
(.f64 a2 (.f64 a2 3))
(/.f64 (.f64 3 (.f64 a2 (neg.f64 a2))) -1)
(.f64 3 (.f64 a2 a2))
(.f64 a2 (.f64 3 a2))
(.f64 a2 (.f64 a2 3))
(pow.f64 (.f64 (.f64 a2 a2) 3) 1)
(.f64 3 (.f64 a2 a2))
(.f64 a2 (.f64 3 a2))
(.f64 a2 (.f64 a2 3))
(+.f64 (.f64 a1 (.f64 a1 3)) 0)
(.f64 a1 (.f64 a1 3))
(+.f64 0 (.f64 a1 (.f64 a1 3)))
(.f64 a1 (.f64 a1 3))
(-.f64 (.f64 a1 (.f64 a1 3)) 0)
(.f64 a1 (.f64 a1 3))
(/.f64 (.f64 a1 (.f64 a1 3)) 1)
(.f64 a1 (.f64 a1 3))
(/.f64 (.f64 3 (.f64 a1 (neg.f64 a1))) -1)
(.f64 a1 (.f64 a1 3))
(pow.f64 (.f64 a1 (.f64 a1 3)) 1)
(.f64 a1 (.f64 a1 3))

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 2))) 6))
✓	0.3b	(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)
✓	0.4b	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
✓	1.7b	(-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1))))))

Compiler

Compiled 208 to 96 computations (53.8% saved)

series7.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	a2	@	0	(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)
1.0ms	a1	@	inf	(-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1))))))
1.0ms	a1	@	0	(-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1))))))
0.0ms	a2	@	inf	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
0.0ms	a2	@	0	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))

rewrite137.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`rational_best-1`
1416×	`rational_best-2`
1416×	`rational_best-3`
1410×	`rational_best-4`
1300×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	320
1	188	320
2	292	320
3	439	308
4	769	308
5	1953	308
6	4606	308
7	6587	308

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

Inputs
(-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1))))))
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)
(+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 2))) 6))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 (.f64 a2 3)) (+.f64 (+.f64 (.f64 a1 a1) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 a1 a1) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)) (+.f64 (.f64 a1 a1) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)))))) (#(struct:change #<rule 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simplify531.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1600×	`rational_best-simplify-1`
1148×	`rational_best-simplify-2`
970×	`rational_best-simplify-55`
684×	`rational_best-simplify-51`
656×	`rational_best-simplify-43`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	322	21359
1	544	20711
2	923	20161
3	2083	20065
4	4180	20029
5	5865	19969
6	6500	19969
7	6888	19969
8	7360	19969
9	7773	19969

Stop Event

1×	node limit

Counts

217 → 273

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (.f64 12 (pow.f64 a2 2))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (.f64 12 (pow.f64 a2 2)) (.f64 3 (pow.f64 a2 2)))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (.f64 12 (pow.f64 a2 2)) (.f64 3 (pow.f64 a2 2)))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (.f64 12 (pow.f64 a2 2)) (.f64 3 (pow.f64 a2 2)))) (*.f64 14 (pow.f64 a2 2)))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 12 (pow.f64 a2 2)) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 12 (pow.f64 a2 2)) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 12 (pow.f64 a2 2)) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 14 (pow.f64 a2 2)))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 12 (pow.f64 a2 2)) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 12 (pow.f64 a2 2)) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 12 (pow.f64 a2 2)) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(pow.f64 a2 2)
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(pow.f64 a2 2)
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(/.f64 (-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (.f64 12 (pow.f64 a2 2))) (*.f64 14 (pow.f64 a2 2))) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 12 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (*.f64 14 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 12 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (*.f64 14 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 12 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (*.f64 14 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 12 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (*.f64 14 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 12 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (*.f64 14 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
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(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 12 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (*.f64 14 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 12 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (*.f64 14 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (-.f64 (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1))) (sqrt.f64 2))
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(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 6 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (.f64 2 (/.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (sqrt.f64 2))))
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(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 6 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (.f64 2 (/.f64 (.f64 (+.f64 a1 (.f64 2 a1)) a1) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
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(*.f64 12 (pow.f64 a2 2))
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(*.f64 6 (pow.f64 a1 2))
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(+.f64 (.f64 12 (pow.f64 a2 2)) (.f64 6 (pow.f64 a1 2)))
(*.f64 6 (pow.f64 a1 2))
(+.f64 (.f64 12 (pow.f64 a2 2)) (.f64 6 (pow.f64 a1 2)))
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(*.f64 6 (pow.f64 a1 2))
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(*.f64 12 (pow.f64 a2 2))
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(*.f64 12 (pow.f64 a2 2))
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(*.f64 7 (pow.f64 a1 2))
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(*.f64 7 (pow.f64 a1 2))
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(*.f64 15 (pow.f64 a2 2))
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(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (-.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (-.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) 4) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (-.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) (.f64 2 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (neg.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))) (-.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2) (.f64 2 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))))) (-.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 12) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) 2)) (.f64 2 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))) -2)))))))
(.f64 -1 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))) (sqrt.f64 2)))
(.f64 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))) (sqrt.f64 2)) -1)
(.f64 (/.f64 -1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (-.f64 (.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))) 2) (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))))))
(pow.f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))) -2))) (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6)))) (sqrt.f64 2)))
(+.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6) 0)
(+.f64 0 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6))
(-.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6) 0)
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6) 1)
(pow.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6) 1)
(-.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) 0)
(-.f64 0 (neg.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))))
(.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6))) 1)
(.f64 1 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6))))
(.f64 -1 (neg.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6)))))
(.f64 (neg.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6)))) -1)
(/.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) 1)
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))) -1)
(pow.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) 1)
(neg.f64 (neg.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))))

Outputs
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (.f64 12 (pow.f64 a2 2))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (.f64 (pow.f64 a2 2) 12)) (*.f64 (pow.f64 a2 2) 14))
(-.f64 (.f64 (pow.f64 a2 2) 15) (.f64 (pow.f64 a2 2) 14))
(*.f64 (pow.f64 a2 2) 1)
(pow.f64 a2 2)
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (.f64 12 (pow.f64 a2 2)) (.f64 3 (pow.f64 a2 2)))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 12) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 15) (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (.f64 12 (pow.f64 a2 2)) (.f64 3 (pow.f64 a2 2)))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 12) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 15) (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (.f64 12 (pow.f64 a2 2)) (.f64 3 (pow.f64 a2 2)))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 12) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 15) (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 14))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 12 (pow.f64 a2 2)) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 12) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 15) (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (.f64 12 (pow.f64 a2 2)) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 12) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 15) (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (.f64 12 (pow.f64 a2 2)) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 12) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 15) (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 14))
(pow.f64 a1 2)
(-.f64 (+.f64 (.f64 12 (pow.f64 a2 2)) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 12) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 15) (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (.f64 12 (pow.f64 a2 2)) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 12) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 15) (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (.f64 12 (pow.f64 a2 2)) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 14 (pow.f64 a2 2)))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 12) (+.f64 (.f64 3 (pow.f64 a2 2)) (pow.f64 a1 2))) (*.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (.f64 (pow.f64 a2 2) 15) (pow.f64 a1 2)) (.f64 (pow.f64 a2 2) 14))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) 6)) (.f64 2 (.f64 a1 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) 6)) (.f64 a1 (.f64 2 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) 6))) (.f64 2 (.f64 a1 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 2) 6))) (.f64 a1 (.f64 2 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) 6))) (.f64 2 (.f64 a1 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 2) 6))) (.f64 a1 (.f64 2 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) 6))) (.f64 2 (.f64 a1 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 2) 6))) (.f64 a1 (.f64 2 (+.f64 a1 (.f64 2 a1)))))
(pow.f64 a2 2)
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (.f64 (pow.f64 a2 2) 12)) (*.f64 (pow.f64 a2 2) 14))
(-.f64 (.f64 (pow.f64 a2 2) 15) (.f64 (pow.f64 a2 2) 14))
(*.f64 (pow.f64 a2 2) 1)
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) 6))) (.f64 2 (.f64 a1 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 2) 6))) (.f64 a1 (.f64 2 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) 6))) (.f64 2 (.f64 a1 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 2) 6))) (.f64 a1 (.f64 2 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) 6))) (.f64 2 (.f64 a1 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 2) 6))) (.f64 a1 (.f64 2 (+.f64 a1 (.f64 2 a1)))))
(pow.f64 a2 2)
(-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (.f64 (pow.f64 a2 2) 12)) (*.f64 (pow.f64 a2 2) 14))
(-.f64 (.f64 (pow.f64 a2 2) 15) (.f64 (pow.f64 a2 2) 14))
(*.f64 (pow.f64 a2 2) 1)
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) 6))) (.f64 2 (.f64 a1 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 2) 6))) (.f64 a1 (.f64 2 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) 6))) (.f64 2 (.f64 a1 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 2) 6))) (.f64 a1 (.f64 2 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 6 (pow.f64 a1 2)))) (.f64 2 (.f64 (+.f64 a1 (.f64 2 a1)) a1)))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 (pow.f64 a1 2) 6))) (.f64 2 (.f64 a1 (+.f64 a1 (.f64 2 a1)))))
(-.f64 (+.f64 (pow.f64 a1 2) (+.f64 (pow.f64 a2 2) (.f64 (pow.f64 a1 2) 6))) (.f64 a1 (.f64 2 (+.f64 a1 (.f64 2 a1)))))
(/.f64 (-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (.f64 12 (pow.f64 a2 2))) (*.f64 14 (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 3 (pow.f64 a2 2)) (.f64 (pow.f64 a2 2) 12)) (*.f64 (pow.f64 a2 2) 14)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (pow.f64 a2 2) 15) (.f64 (pow.f64 a2 2) 14)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) 1) (sqrt.f64 2))
(*.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 12 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (*.f64 14 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 12 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (*.f64 (pow.f64 a2 2) (/.f64 14 (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) 15)) (.f64 (pow.f64 a2 2) (/.f64 14 (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 (pow.f64 a2 2) (/.f64 15 (sqrt.f64 2)))) (.f64 (pow.f64 a2 2) (/.f64 14 (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 12 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (*.f64 14 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 12 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))) (*.f64 (pow.f64 a2 2) (/.f64 14 (sqrt.f64 2))))
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(.f64 -1 (neg.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6)))))
(+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 3 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(.f64 (neg.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6)))) -1)
(+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 3 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(/.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) 1)
(+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 3 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(/.f64 (neg.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))) -1)
(+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 3 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(pow.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) 1)
(+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 3 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(neg.f64 (neg.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))))
(+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 3 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))
(+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3)
	0.4b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
✓	0.4b	(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2))
✓	0.8b	(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)))

Compiler

Compiled 90 to 36 computations (60% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a2	@	0	(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)))
0.0ms	a2	@	inf	(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)))
0.0ms	a1	@	inf	(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)))
0.0ms	a1	@	0	(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)))
0.0ms	a2	@	-inf	(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)))

rewrite499.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`rational_best-1`
1466×	`rational_best-4`
1466×	`rational_best-2`
1466×	`rational_best-3`
1466×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	145
1	104	145
2	166	99
3	261	99
4	508	99
5	1506	99
6	5838	99

Stop Event

1×	node limit

Counts

3 → 206

Calls

Call 1

Inputs

(-.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2)))

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

(*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 6) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 5) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 10) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 5) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 8) (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3))))))

simplify647.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1598×	`rational_best-simplify-2`
1296×	`rational_best-simplify-1`
984×	`rational_best-simplify-55`
918×	`rational_best-simplify-43`
720×	`rational_best-simplify-53`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	412	13458
1	669	11058
2	952	10752
3	1763	10360
4	3751	10206
5	5035	10206
6	6191	10188
7	6819	10184
8	7358	10184
9	7745	10184

Stop Event

1×	node limit

Counts

278 → 239

Calls

Call 1

Inputs
(-.f64 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
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(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 4) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 4) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) -2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 4)))
(.f64 (/.f64 2 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 2 (sqrt.f64 2)) (+.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2)))
(.f64 -1 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 2))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 2))) (+.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2)))
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) -1)
(.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2) (/.f64 -1 (sqrt.f64 2)))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 -2 (sqrt.f64 2)))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 2 (/.f64 -1 (sqrt.f64 2))))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (+.f64 (/.f64 -1 (sqrt.f64 2)) (/.f64 -1 (sqrt.f64 2))))
(.f64 (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (-.f64 (/.f64 2 (sqrt.f64 2)) (.f64 3 (/.f64 1 (sqrt.f64 2)))) (/.f64 -1 (sqrt.f64 2))))
(.f64 -2 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(.f64 (/.f64 -1 (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) -2))
(.f64 (/.f64 -2 (sqrt.f64 2)) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (+.f64 (.f64 3 (/.f64 1 (sqrt.f64 2))) (/.f64 -2 (sqrt.f64 2))) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2))
(.f64 (.f64 2 (+.f64 (.f64 3 (/.f64 1 (sqrt.f64 2))) (/.f64 -2 (sqrt.f64 2)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 2 (-.f64 (/.f64 2 (sqrt.f64 2)) (.f64 3 (/.f64 1 (sqrt.f64 2))))) (neg.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(.f64 (.f64 2 (/.f64 -1 (sqrt.f64 2))) (neg.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (+.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 3 (/.f64 1 (sqrt.f64 2))) (/.f64 -2 (sqrt.f64 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(pow.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) 1)
(neg.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) 0)
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 0 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 5))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) 0)
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(-.f64 0 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 6) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 5) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -5))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 10) (+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 5) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 8) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 5))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) 1)
(/.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3) -1)
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2))
(pow.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) 1)
(neg.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3))

Outputs
(-.f64 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.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 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(-.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 1)
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (.f64 3 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) 1)
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 3 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
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(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
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(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
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(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
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(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 2 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(*.f64 2 (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
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(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) 0)
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(+.f64 0 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 5))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) 0)
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(-.f64 0 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 6) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 5) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 -2 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) -5))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 10) (+.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 5) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 10) (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 5)))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 10) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (-.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 -5 (/.f64 1 (sqrt.f64 2))))))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 10) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 7))
(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 8) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 5))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) 1)
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3) -1)
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 3) (sqrt.f64 2))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(pow.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3) 1)
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))
(neg.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) -3))
(+.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 3 (sqrt.f64 2)))

eval1.0s (5.1%)

Compiler: Compiled 47207 to 26965 computations (42.9% saved)

prune595.0ms (3%)

Pruning

82 alts after pruning (71 fresh and 11 done)

	Pruned	Kept	Total
New	1118	39	1157
Fresh	8	32	40
Picked	0	1	1
Done	1	10	11
Total	1127	82	1209

Error

0.0b

Counts

1209 → 82

Alt Table

Click to see full alt table

Status	Error	Program
	39.9b	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	40.7b	(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
	25.4b	(/.f64 (-.f64 (/.f64 (.f64 a2 (.f64 a2 14)) -1) (/.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2) (.f64 a2 (.f64 a2 14))))) -1)) (sqrt.f64 2))
	25.4b	(/.f64 (-.f64 (/.f64 (.f64 a1 (.f64 a1 6)) -1) (/.f64 (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2) (.f64 a1 (.f64 a1 6))))) -1)) (sqrt.f64 2))
	25.4b	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))) (sqrt.f64 2))
	25.5b	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (+.f64 (.f64 a2 (.f64 5 a2)) (.f64 a1 a1))))) (sqrt.f64 2))
✓	25.6b	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
	25.5b	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))))) (sqrt.f64 2))
	25.8b	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 a2 (.f64 a2 21))) (.f64 a1 (.f64 a1 9))) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))))) (sqrt.f64 2))
	24.8b	(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 (.f64 a1 2)) (.f64 a1 a1))) (.f64 a1 (.f64 a1 2))) (sqrt.f64 2))
	24.8b	(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (.f64 2 (.f64 a2 a2))) (sqrt.f64 2))
	24.9b	(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (.f64 a1 2) a1))) (.f64 a1 (*.f64 a1 2))) (sqrt.f64 2))
	25.8b	(/.f64 (-.f64 (+.f64 (.f64 a1 (+.f64 (.f64 a1 3) (.f64 a1 6))) (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 a2 (+.f64 (.f64 a2 14) (.f64 a2 7))))) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))))) (sqrt.f64 2))
	24.9b	(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 a2 (+.f64 a2 a2))) (sqrt.f64 2))
	25.2b	(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 2 (-.f64 (.f64 (.f64 a2 3) (+.f64 a2 a2)) (.f64 a2 (.f64 a2 5))))) (sqrt.f64 2))
	25.6b	(/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 8)) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
	26.1b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))))) 4) (+.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 3 (.f64 a1 a1)))) (.f64 3 (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))))))))) (sqrt.f64 2))
	25.6b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -4) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 6))))) (+.f64 (.f64 -6 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 9))))) (sqrt.f64 2))
	25.6b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2)))) (.f64 a1 (.f64 a1 6))) (+.f64 (.f64 a2 (.f64 a2 14)) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3)))))) (neg.f64 (sqrt.f64 2)))
	24.9b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (*.f64 a1 2) a1)))) (sqrt.f64 2))
	25.7b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -4) (.f64 (.f64 a2 a2) 14)))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -6) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 a2 (+.f64 (.f64 a2 14) (.f64 a2 7)))))) (sqrt.f64 2))
	25.5b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 7)))) (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 7)) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))) (sqrt.f64 2))
	24.9b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
	25.9b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (+.f64 (.f64 a2 (.f64 a2 14)) (.f64 a1 (.f64 a1 6))))) (+.f64 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 a2 (.f64 a2 21))) (.f64 a1 (*.f64 a1 9)))) (sqrt.f64 2))
	25.6b	(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 (.f64 a2 a2) 14)))) (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 a2 (+.f64 (.f64 a2 14) (.f64 a2 7)))))) (sqrt.f64 2))
	25.6b	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)) (*.f64 a1 a1)) (sqrt.f64 2))
	25.1b	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5)) (+.f64 (.f64 a1 a1) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2))) (sqrt.f64 2))
	25.6b	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 a2 (.f64 a2 21))) (.f64 -6 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (.f64 -2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))) (sqrt.f64 2))
	25.8b	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -4)) (sqrt.f64 2))
	25.5b	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6)) (sqrt.f64 2))
	25.9b	(/.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 12) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) 2)) (neg.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))))))) (sqrt.f64 2))
	25.4b	(/.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
	25.1b	(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 3 (*.f64 a2 a2))) -2)) (sqrt.f64 2))
	25.3b	(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2)) (sqrt.f64 2))
	25.2b	(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))))) (sqrt.f64 2))
	25.7b	(/.f64 (+.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))) -2)) (sqrt.f64 2))
	25.8b	(/.f64 (+.f64 (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2)))) (.f64 12 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))) (-.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 3 (.f64 a1 a1))) -2) (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))))))) (sqrt.f64 2))
	25.5b	(/.f64 (+.f64 (+.f64 (.f64 -6 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 9)))) (.f64 -2 (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))) (sqrt.f64 2))
	25.1b	(/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2))) 4)) (sqrt.f64 2))
✓	24.7b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	25.1b	(/.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 7)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2))) (sqrt.f64 2))
	25.3b	(/.f64 (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 (+.f64 (.f64 7 (.f64 a2 a2)) (.f64 3 (*.f64 a1 a1))) -2)))) (sqrt.f64 2))
	25.7b	(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2)))) (+.f64 (neg.f64 (+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 2 (+.f64 (.f64 7 (.f64 a2 a2)) (.f64 3 (.f64 a1 a1)))))))) (.f64 12 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))))) (sqrt.f64 2))
✓	0.4b	(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2))
	0.6b	(/.f64 (.f64 (+.f64 (.f64 (cos.f64 th) 5) (.f64 (cos.f64 th) -4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
	26.2b	(/.f64 (neg.f64 (-.f64 (+.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) 4)) (.f64 2 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))))))))) (sqrt.f64 2))
	25.7b	(-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))) (sqrt.f64 2)) (.f64 (/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))) -2))) (sqrt.f64 2)) -2))
	0.7b	(-.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))
	46.8b	(-.f64 (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) 1)
	46.5b	(-.f64 (+.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) 1)
✓	37.3b	(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)
	24.9b	(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3))
✓	24.9b	(-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 2) (sqrt.f64 2)))
	25.4b	(+.f64 (/.f64 (-.f64 (neg.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 6))) (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2)))) 8)) (sqrt.f64 2)) 0)
	24.9b	(+.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (sqrt.f64 2)) (/.f64 (.f64 (*.f64 a2 a2) -2) (sqrt.f64 2)))
	37.4b	(+.f64 (+.f64 2 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) -4)
✓	0.5b	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.7b	(.f64 (/.f64 (+.f64 (.f64 (cos.f64 th) 5) (.f64 (cos.f64 th) -4)) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	0.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	39.9b	(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
	26.0b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))))) (-.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 12) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) 2)) (.f64 2 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))) -2)))))))
	24.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (*.f64 a2 (+.f64 a2 a2))))
	25.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 2 (-.f64 (.f64 (.f64 a2 3) (+.f64 a2 a2)) (.f64 a2 (*.f64 a2 5))))))
	25.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 6) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 5)))
	25.1b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 5) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 4)))
	24.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2)))
	25.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (-.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))))
	25.7b	(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (-.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) (.f64 2 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)))))))
	25.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2)))
	25.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 2 (+.f64 (.f64 7 (.f64 a2 a2)) (.f64 3 (.f64 a1 a1))))))) (-.f64 (.f64 2 (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 (+.f64 (.f64 7 (.f64 a2 a2)) (.f64 3 (.f64 a1 a1))) -2))))) (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2)))) (.f64 12 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))))))))
✓	24.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	25.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a2 (.f64 3 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 3 a1))) -2)))) (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 3 a2))) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 3 a1)))))) (+.f64 (.f64 12 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 3 a2))))))))
	25.9b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 3 (.f64 a1 a1))) -2))))) (-.f64 (+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 3 (.f64 a1 a1))))))) (+.f64 (.f64 12 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 3 (*.f64 a2 a2))))))))
	25.7b	(.f64 (/.f64 -1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))))
	0.6b	(.f64 (-.f64 (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(.f64 (-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	0.6b	(.f64 (-.f64 (.f64 (cos.f64 th) 4) (.f64 (cos.f64 th) 3)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
	0.5b	(.f64 (-.f64 (.f64 (cos.f64 th) 3) (.f64 (cos.f64 th) 2)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
	0.8b	(.f64 (cos.f64 th) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3)))
	0.8b	(.f64 (cos.f64 th) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2))))

Compiler

Compiled 3302 to 2115 computations (35.9% saved)

regimes1.0s (5.3%)

Counts

101 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)
(+.f64 (+.f64 2 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) -4)
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 a2 (+.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (*.f64 a2 (+.f64 a2 a2))))
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 (.f64 2 a2)))) (.f64 2 (*.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (.f64 a1 2) a1))) (.f64 a1 (*.f64 a1 2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (.f64 2 (.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 (.f64 a1 2)) (.f64 a1 a1))) (.f64 a1 (.f64 a1 2))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 5) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 4)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 6) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 5)))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 (*.f64 2 a2))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (*.f64 a1 2) a1)))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 4)) (+.f64 (.f64 a1 a1) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2)))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2)) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 3 (*.f64 a2 a2))) -2)) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))))) (sqrt.f64 2))
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(.f64 (cos.f64 th) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 3) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2) (sqrt.f64 2))))
(.f64 (cos.f64 th) (-.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) 4) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) 3)))
(+.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 (.f64 (cos.f64 th) -2) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (-.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (-.f64 (/.f64 (.f64 (cos.f64 th) 4) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 th) (cos.f64 (+.f64 th th))) (.f64 (sin.f64 th) (sin.f64 (.f64 th -2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 th) (cos.f64 (neg.f64 (+.f64 th th)))) (.f64 (neg.f64 (sin.f64 th)) (sin.f64 (neg.f64 (+.f64 th th))))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 2 (sqrt.f64 2))))) (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 2 (sqrt.f64 2)))))

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

Calls

8 calls:

367.0ms	a1
216.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
92.0ms	(cos.f64 th)
45.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
44.0ms	a2

Results

Error	Segments	Branch
0.4b	1	`a1`
0.4b	1	`a2`
0.4b	1	`th`
0.4b	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
0.4b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.4b	1	`(cos.f64 th)`
0.4b	1	`(*.f64 a1 a1)`
0.4b	1	`(*.f64 a2 a2)`

Compiler

Compiled 3660 to 1940 computations (47% saved)

regimes603.0ms (3.1%)

Counts

78 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)
(+.f64 (+.f64 2 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) -4)
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 a2 (+.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (*.f64 a2 (+.f64 a2 a2))))
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 (.f64 2 a2)))) (.f64 2 (*.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (.f64 a1 2) a1))) (.f64 a1 (*.f64 a1 2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (.f64 2 (.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 (.f64 a1 2)) (.f64 a1 a1))) (.f64 a1 (.f64 a1 2))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 5) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 4)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 6) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 5)))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 (*.f64 2 a2))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (*.f64 a1 2) a1)))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 4)) (+.f64 (.f64 a1 a1) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2)))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2)) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 3 (*.f64 a2 a2))) -2)) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 2)))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 (.f64 a1 2)) (.f64 a1 a1)))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 2 (-.f64 (.f64 (.f64 a2 3) (+.f64 a2 a2)) (.f64 a2 (.f64 a2 5))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 2 (-.f64 (.f64 (.f64 a2 3) (+.f64 a2 a2)) (.f64 a2 (*.f64 a2 5))))))
(/.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 7)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5)) (+.f64 (.f64 a1 a1) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2))) 4)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 4) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))))))
(/.f64 (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 (+.f64 (.f64 7 (.f64 a2 a2)) (.f64 3 (*.f64 a1 a1))) -2)))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))) -2)) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6)) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 8)) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
(.f64 (/.f64 -1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))))
(+.f64 (/.f64 (-.f64 (neg.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 6))) (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2)))) 8)) (sqrt.f64 2)) 0)
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 a2 (.f64 a2 21))) (.f64 a1 (.f64 a1 9))) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))) (sqrt.f64 2))
(/.f64 (-.f64 (/.f64 (.f64 a1 (.f64 a1 6)) -1) (/.f64 (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2) (.f64 a1 (.f64 a1 6))))) -1)) (sqrt.f64 2))
(/.f64 (-.f64 (/.f64 (.f64 a2 (.f64 a2 14)) -1) (/.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2) (.f64 a2 (.f64 a2 14))))) -1)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1))))) (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 -6 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 9)))) (.f64 -2 (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 a2 (.f64 a2 21))) (.f64 -6 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (.f64 -2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 7)))) (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 7)) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a1 (+.f64 (.f64 a1 3) (.f64 a1 6))) (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 a2 (+.f64 (.f64 a2 14) (.f64 a2 7))))) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (+.f64 (.f64 a2 (.f64 5 a2)) (.f64 a1 a1))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (+.f64 (.f64 a2 (.f64 5 a2)) (.f64 a1 a1))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -4)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (+.f64 (.f64 a2 (.f64 a2 14)) (.f64 a1 (.f64 a1 6))))) (+.f64 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 a2 (.f64 a2 21))) (.f64 a1 (*.f64 a1 9)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -4) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 6))))) (+.f64 (.f64 -6 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 9))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2)))) (.f64 a1 (.f64 a1 6))) (+.f64 (.f64 a2 (.f64 a2 14)) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3)))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 (.f64 a2 a2) 14)))) (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 a2 (+.f64 (.f64 a2 14) (.f64 a2 7)))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -4) (.f64 (.f64 a2 a2) 14)))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -6) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 a2 (+.f64 (.f64 a2 14) (.f64 a2 7)))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (-.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))))
(/.f64 (+.f64 (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2)))) (.f64 12 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))) (-.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 3 (.f64 a1 a1))) -2) (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))))))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2)))) (+.f64 (neg.f64 (+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 2 (+.f64 (.f64 7 (.f64 a2 a2)) (.f64 3 (.f64 a1 a1)))))))) (.f64 12 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 12) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) 2)) (neg.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))))) 4) (+.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 3 (.f64 a1 a1)))) (.f64 3 (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))))))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (-.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) (.f64 2 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)))))))
(/.f64 (neg.f64 (-.f64 (+.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) 4)) (.f64 2 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))))))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 3 (.f64 a1 a1))) -2))))) (-.f64 (+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 3 (.f64 a1 a1))))))) (+.f64 (.f64 12 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 3 (*.f64 a2 a2))))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a2 (.f64 3 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 3 a1))) -2)))) (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 3 a2))) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 3 a1)))))) (+.f64 (.f64 12 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 3 a2))))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 2 (+.f64 (.f64 7 (.f64 a2 a2)) (.f64 3 (.f64 a1 a1))))))) (-.f64 (.f64 2 (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 (+.f64 (.f64 7 (.f64 a2 a2)) (.f64 3 (.f64 a1 a1))) -2))))) (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2)))) (.f64 12 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))))) (-.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 12) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) 2)) (.f64 2 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))) -2)))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
(-.f64 (+.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) 1)
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

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

Calls

7 calls:

336.0ms	a2
81.0ms	th
33.0ms	a1
30.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
26.0ms	(cos.f64 th)

Results

Error	Segments	Branch
0.4b	1	`a1`
0.4b	1	`a2`
0.4b	1	`th`
0.4b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.4b	1	`(cos.f64 th)`
0.4b	1	`(*.f64 a1 a1)`
0.4b	1	`(*.f64 a2 a2)`

Compiler

Compiled 3041 to 1647 computations (45.8% saved)

regimes193.0ms (1%)

Accuracy

Total -31.5b remaining (-127.4%)

Threshold costs -31.5b (-127.4%)

Counts

76 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(-.f64 (+.f64 1 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))) 1)
(+.f64 (+.f64 2 (+.f64 2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) -4)
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 a2 (+.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (*.f64 a2 (+.f64 a2 a2))))
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 (.f64 2 a2)))) (.f64 2 (*.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (.f64 a1 2) a1))) (.f64 a1 (*.f64 a1 2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (.f64 2 (.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 (.f64 a1 2)) (.f64 a1 a1))) (.f64 a1 (.f64 a1 2))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 3) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 5) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 4)))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) 6) (.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) 5)))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 (*.f64 2 a2))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 2)))) (+.f64 (.f64 a2 a2) (.f64 a1 (+.f64 (*.f64 a1 2) a1)))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 4)) (+.f64 (.f64 a1 a1) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) 3)) -2)))
(/.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2)) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 3 (*.f64 a2 a2))) -2)) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))) -2)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2)))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 2)))) (+.f64 (.f64 a2 a2) (+.f64 (.f64 a1 (.f64 a1 2)) (.f64 a1 a1)))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 2 (-.f64 (.f64 (.f64 a2 3) (+.f64 a2 a2)) (.f64 a2 (.f64 a2 5))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 2 (-.f64 (.f64 (.f64 a2 3) (+.f64 a2 a2)) (.f64 a2 (*.f64 a2 5))))))
(/.f64 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 7)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5)) (+.f64 (.f64 a1 a1) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -2))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) -2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2))) 4)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 4) (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))))))
(/.f64 (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 (+.f64 (.f64 7 (.f64 a2 a2)) (.f64 3 (*.f64 a1 a1))) -2)))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))) -2)) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)) (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))) 6)) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 8)) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
(.f64 (/.f64 -1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))))
(+.f64 (/.f64 (-.f64 (neg.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 2 (.f64 a2 a2))) 6))) (.f64 (neg.f64 (+.f64 (.f64 a1 a1) (.f64 2 (*.f64 a2 a2)))) 8)) (sqrt.f64 2)) 0)
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 a2 (.f64 a2 21))) (.f64 a1 (.f64 a1 9))) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (*.f64 a1 (+.f64 a1 (+.f64 a1 a1)))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))) (sqrt.f64 2))
(/.f64 (-.f64 (/.f64 (.f64 a1 (.f64 a1 6)) -1) (/.f64 (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2) (.f64 a1 (.f64 a1 6))))) -1)) (sqrt.f64 2))
(/.f64 (-.f64 (/.f64 (.f64 a2 (.f64 a2 14)) -1) (/.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) 3)) -2) (.f64 a2 (.f64 a2 14))))) -1)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1))))) (+.f64 (+.f64 (.f64 (.f64 a2 a2) 7) (.f64 a1 (+.f64 a1 (+.f64 a1 a1)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3)))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 -6 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 9)))) (.f64 -2 (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 a2 (.f64 a2 21))) (.f64 -6 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (.f64 -2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 7)))) (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a1 (+.f64 a1 a1)) (.f64 (.f64 a2 a2) 7)) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 3))))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (.f64 a1 (+.f64 (.f64 a1 3) (.f64 a1 6))) (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 a2 (+.f64 (.f64 a2 14) (.f64 a2 7))))) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (.f64 (.f64 a2 a2) 5))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 2))) 6)) (.f64 2 (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (+.f64 (.f64 a2 (.f64 5 a2)) (.f64 a1 a1))))) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (.f64 a2 (.f64 a2 2)) (.f64 a1 (+.f64 a1 a1))) (+.f64 (.f64 a2 (.f64 5 a2)) (.f64 a1 a1))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (.f64 4 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -4)) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (+.f64 (.f64 a2 (.f64 a2 14)) (.f64 a1 (.f64 a1 6))))) (+.f64 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 a2 (.f64 a2 21))) (.f64 a1 (*.f64 a1 9)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -4) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 6))))) (+.f64 (.f64 -6 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 9))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (+.f64 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2)))) (.f64 a1 (.f64 a1 6))) (+.f64 (.f64 a2 (.f64 a2 14)) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3)))))) (neg.f64 (sqrt.f64 2)))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 (.f64 a2 a2) 14)))) (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 -2 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3)))) (.f64 a2 (+.f64 (.f64 a2 14) (.f64 a2 7)))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 2 (+.f64 (.f64 a1 (.f64 a1 3)) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -4) (.f64 (.f64 a2 a2) 14)))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) -6) (+.f64 (.f64 a1 (.f64 a1 3)) (.f64 a2 (+.f64 (.f64 a2 14) (.f64 a2 7)))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (-.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6)))))
(/.f64 (+.f64 (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2)))) (.f64 12 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))) (-.f64 (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 3 (.f64 a1 a1))) -2) (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))))))) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2)))) (+.f64 (neg.f64 (+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 2 (+.f64 (.f64 7 (.f64 a2 a2)) (.f64 3 (.f64 a1 a1)))))))) (.f64 12 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))))) (sqrt.f64 2))
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 12) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) 2)) (neg.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))))))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))))) 4) (+.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 3 (.f64 a1 a1)))) (.f64 3 (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))))))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))) (-.f64 (+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 (.f64 a2 3)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6))) (.f64 2 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) -2)))))))
(/.f64 (neg.f64 (-.f64 (+.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))) 4)) (.f64 2 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3))))))))) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 3 (.f64 a1 a1))) -2))))) (-.f64 (+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 3 (.f64 a1 a1))))))) (+.f64 (.f64 12 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 3 (*.f64 a2 a2))))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (+.f64 (+.f64 (.f64 a2 (.f64 3 a2)) (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 3 a1))) -2)))) (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 3 a2))) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 3 a1)))))) (+.f64 (.f64 12 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (.f64 2 (+.f64 (.f64 a1 a1) (.f64 a2 (*.f64 3 a2))))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 3 (.f64 a2 a2)) (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 2 (+.f64 (.f64 7 (.f64 a2 a2)) (.f64 3 (.f64 a1 a1))))))) (-.f64 (.f64 2 (+.f64 (.f64 6 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (+.f64 (.f64 3 (.f64 a2 a2)) (.f64 (+.f64 (.f64 7 (.f64 a2 a2)) (.f64 3 (.f64 a1 a1))) -2))))) (+.f64 (.f64 2 (+.f64 (.f64 a1 a1) (.f64 3 (.f64 a2 a2)))) (.f64 12 (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a2 a2))))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (-.f64 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 2 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (.f64 a1 3)))))) (-.f64 (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 12) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) 2)) (.f64 2 (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 3))) (+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 (+.f64 a2 a2))) 6) (.f64 (+.f64 (.f64 a2 (.f64 a2 7)) (.f64 a1 (*.f64 a1 3))) -2)))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 a2 2))
(-.f64 (+.f64 1 (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) 1)

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

Calls

5 calls:

36.0ms	a1
33.0ms	a2
32.0ms	th
18.0ms	(*.f64 a1 a1)
17.0ms	(*.f64 a2 a2)

Results

Error	Segments	Branch
24.7b	1	`a1`
24.7b	1	`a2`
24.7b	1	`th`
24.7b	1	`(*.f64 a1 a1)`
24.7b	1	`(*.f64 a2 a2)`

Compiler

Compiled 3002 to 1627 computations (45.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	107

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Compiler

Compiled 45 to 31 computations (31.1% saved)

soundness12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`rational_best-simplify-2`
4×	`rational_best-simplify-22`
4×	`rational_best-simplify-1`
4×	`rational_best-simplify-51`
4×	`rational_best-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	24	39
2	32	39
3	34	39

Stop Event

1×

saturated

Compiler

Compiled 54 to 29 computations (46.3% saved)

end25.0ms (0.1%)

Remove: (sort a1 a2)
Compiler: Compiled 71 to 40 computations (43.7% saved)