Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 66 to 48 computations (27.3% saved)

sample2.6s (7.4%)

Results

2.6s

8256×

body

256

valid

Bogosity

preprocess49.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1506×	`rational.json-simplify-43`
1026×	`rational.json-simplify-67`
866×	`rational.json-simplify-24`
828×	`rational.json-simplify-29`
816×	`rational.json-simplify-14`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	737
1	348	737
2	1187	737
3	6790	737
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
0
2
3
2
4

Call 2

Inputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v))) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i cosTheta_i) v))) (/.f32 (.f32 sinTheta_O cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i))) (/.f32 (.f32 v cosTheta_O) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 cosTheta_i)) 2) cosTheta_i))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_O sinTheta_O) v))) (/.f32 (.f32 cosTheta_i sinTheta_i) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v))) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O))) (/.f32 (.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 cosTheta_O)) 2) cosTheta_O))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 v sinTheta_O) sinTheta_i))) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 sinTheta_i)) 2) sinTheta_i))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i v) sinTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 sinTheta_O)) 2) sinTheta_O))

Outputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (neg.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v (.f32 v 2)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (neg.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v (.f32 v 2)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v))) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (.f32 cosTheta_O (/.f32 sinTheta_i v)) (/.f32 (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2))))
(/.f32 (exp.f32 (neg.f32 (/.f32 sinTheta_O (/.f32 v cosTheta_i)))) (.f32 (/.f32 v (.f32 sinTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(.f32 (/.f32 cosTheta_O v) (/.f32 sinTheta_i (.f32 (.f32 v 2) (/.f32 (sinh.f32 (/.f32 1 v)) (exp.f32 (.f32 cosTheta_i (/.f32 sinTheta_O (neg.f32 v))))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i cosTheta_i) v))) (/.f32 (.f32 sinTheta_O cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (.f32 sinTheta_O (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (neg.f32 (.f32 sinTheta_i (/.f32 cosTheta_i v)))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2))))
(.f32 (.f32 sinTheta_O (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (neg.f32 (/.f32 sinTheta_i (/.f32 v cosTheta_i)))) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(.f32 (.f32 sinTheta_O cosTheta_O) (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 cosTheta_i (neg.f32 v)))) (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v (.f32 v 2)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i))) (/.f32 (.f32 v cosTheta_O) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 cosTheta_i)) 2) cosTheta_i))
(.f32 (.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i)))) (.f32 cosTheta_i (*.f32 2 (sinh.f32 (/.f32 1 cosTheta_i))))))
(.f32 (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i)))) (/.f32 (.f32 v (/.f32 cosTheta_O cosTheta_i)) (.f32 (sinh.f32 (/.f32 1 cosTheta_i)) (*.f32 cosTheta_i 2))))
(.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 cosTheta_i)))) (.f32 cosTheta_O (/.f32 (/.f32 v cosTheta_i) (.f32 (sinh.f32 (/.f32 1 cosTheta_i)) (*.f32 cosTheta_i 2)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_O sinTheta_O) v))) (/.f32 (.f32 cosTheta_i sinTheta_i) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (.f32 sinTheta_i (/.f32 cosTheta_i v)) (/.f32 (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 cosTheta_O v)))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2))))
(.f32 (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 cosTheta_O v)))) (/.f32 (/.f32 sinTheta_i (/.f32 v cosTheta_i)) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(/.f32 (exp.f32 (.f32 sinTheta_O (/.f32 cosTheta_O (neg.f32 v)))) (.f32 (sinh.f32 (/.f32 1 v)) (.f32 (/.f32 (/.f32 v cosTheta_i) sinTheta_i) (.f32 v 2))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v))) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta_O (/.f32 sinTheta_i v)))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2))))
(/.f32 (/.f32 sinTheta_O (/.f32 v cosTheta_i)) (/.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (exp.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 cosTheta_O v))))))
(.f32 sinTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 v (exp.f32 (.f32 sinTheta_i (/.f32 cosTheta_O (neg.f32 v))))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O))) (/.f32 (.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 cosTheta_O)) 2) cosTheta_O))
(.f32 (.f32 v (/.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O)))) (.f32 cosTheta_O (*.f32 2 (sinh.f32 (/.f32 1 cosTheta_O))))))
(.f32 (exp.f32 (neg.f32 (.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_O)))) (/.f32 (.f32 v (/.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 1 cosTheta_O)) (*.f32 cosTheta_O 2))))
(.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 cosTheta_O)))) (.f32 v (/.f32 (/.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 1 cosTheta_O)) (*.f32 cosTheta_O 2)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (neg.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v (.f32 v 2)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 v sinTheta_O) sinTheta_i))) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 sinTheta_i)) 2) sinTheta_i))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O v) sinTheta_i))) (.f32 sinTheta_i (*.f32 2 (sinh.f32 (/.f32 1 sinTheta_i))))))
(.f32 (/.f32 cosTheta_O (/.f32 sinTheta_i cosTheta_i)) (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O v) sinTheta_i))) (.f32 (sinh.f32 (/.f32 1 sinTheta_i)) (.f32 sinTheta_i 2))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (.f32 sinTheta_O (/.f32 v (neg.f32 sinTheta_i)))) (.f32 sinTheta_i (.f32 (sinh.f32 (/.f32 1 sinTheta_i)) (.f32 sinTheta_i 2)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i v) sinTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 sinTheta_O)) 2) sinTheta_O))
(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 v (/.f32 sinTheta_i sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O)) (.f32 sinTheta_O (*.f32 2 (sinh.f32 (/.f32 1 sinTheta_O)))))
(.f32 (exp.f32 (neg.f32 (.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (.f32 2 (*.f32 sinTheta_O (sinh.f32 (/.f32 1 sinTheta_O))))))
(.f32 cosTheta_i (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 1 sinTheta_O)) (*.f32 sinTheta_O 2))) (/.f32 cosTheta_O sinTheta_O)))
(.f32 cosTheta_i (.f32 (/.f32 (exp.f32 (.f32 v (neg.f32 (/.f32 sinTheta_i sinTheta_O)))) (.f32 (sinh.f32 (/.f32 1 sinTheta_O)) (*.f32 sinTheta_O 2))) (/.f32 cosTheta_O sinTheta_O)))

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 32 to 24 computations (25% saved)

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1382×	`rational.json-simplify-29`
1094×	`rational.json-simplify-43`
1002×	`rational.json-simplify-24`
886×	`rational.json-simplify-14`
826×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	55	67
2	174	67
3	878	67
4	6474	67

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))

Outputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2))))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (exp.f32 (neg.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (*.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 cosTheta_i v) v)))

eval2.0ms (0%)

Compiler: Compiled 115 to 67 computations (41.7% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

0.3b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
▶	0.5b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	0.5b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (*.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 cosTheta_i v) v)))

Status

Error

Program

▶

0.5b

(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))

▶

0.5b

(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))

▶

0.5b

(*.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (*.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 cosTheta_i v) v)))

Compiler

Compiled 81 to 57 computations (29.6% saved)

localize123.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 cosTheta_i v) v))
✓	0.2b	(/.f32 (/.f32 cosTheta_i v) v)
✓	0.3b	(/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v)))
✓	0.8b	(sinh.f32 (/.f32 1 v))

Compiler

Compiled 92 to 41 computations (55.4% saved)

series19.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	cosTheta_i	@	0	(/.f32 (/.f32 cosTheta_i v) v)
2.0ms	cosTheta_i	@	inf	(/.f32 (/.f32 cosTheta_i v) v)
2.0ms	cosTheta_i	@	0	(*.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 cosTheta_i v) v))
1.0ms	cosTheta_O	@	0	(*.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 cosTheta_i v) v))
1.0ms	cosTheta_O	@	0	(/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v)))

rewrite87.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`rational.json-1`
1412×	`rational.json-2`
1412×	`rational.json-4`
1412×	`rational.json-3`
878×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	102	88
2	455	88
3	3540	88

Stop Event

1×	node limit

Counts

4 → 389

Calls

Call 1

Inputs
(sinh.f32 (/.f32 1 v))
(/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v)))
(/.f32 (/.f32 cosTheta_i v) v)
(*.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 cosTheta_i v) v))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sinh.f32 (/.f32 1 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sinh.f32 (/.f32 1 v)) (.f32 (sinh.f32 (/.f32 1 v)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sinh.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) (neg.f32 (sinh.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 -1 (/.f32 1 (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (sinh.f32 (/.f32 1 v))) (.f32 (sinh.f32 (/.f32 1 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (sinh.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sinh.f32 (/.f32 1 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sinh.f32 (/.f32 1 v)) (.f32 (sinh.f32 (/.f32 1 v)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (sinh.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) (sinh.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sinh.f32 (/.f32 1 v)) 4) (.f32 (sinh.f32 (/.f32 1 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sinh.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sinh.f32 (/.f32 1 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (sinh.f32 (/.f32 1 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (neg.f32 (sinh.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sinh.f32 (/.f32 1 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1/2 (+.f32 (neg.f32 (sinh.f32 (/.f32 1 v))) (neg.f32 (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (neg.f32 (sinh.f32 (/.f32 1 v))) (neg.f32 (sinh.f32 (/.f32 1 v)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (sinh.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sinh.f32 (/.f32 1 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sinh.f32 (/.f32 1 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (sinh.f32 (/.f32 1 v))))))))
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simplify198.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1214×	`rational.json-simplify-24`
1148×	`rational.json-simplify-13`
932×	`rational.json-simplify-14`
908×	`rational.json-simplify-15`
782×	`rational.json-simplify-27`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	781	19683
1	2594	19553

Stop Event

1×	node limit

Counts

485 → 551

Calls

Call 1

Inputs
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1 v)
(+.f32 (/.f32 1 v) (*.f32 1/6 (/.f32 1 (pow.f32 v 3))))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1 v) (.f32 1/120 (/.f32 1 (pow.f32 v 5)))))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1 v) (+.f32 (.f32 1/5040 (/.f32 1 (pow.f32 v 7))) (*.f32 1/120 (/.f32 1 (pow.f32 v 5))))))
(/.f32 1 v)
(+.f32 (/.f32 1 v) (*.f32 1/6 (/.f32 1 (pow.f32 v 3))))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1 v) (.f32 1/120 (/.f32 1 (pow.f32 v 5)))))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1 v) (+.f32 (.f32 1/5040 (/.f32 1 (pow.f32 v 7))) (*.f32 1/120 (/.f32 1 (pow.f32 v 5))))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 v cosTheta_O))
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(/.f32 (-.f32 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) -1/2) (/.f32 0 (sinh.f32 (/.f32 1 v)))) (neg.f32 (.f32 v (/.f32 v cosTheta_i))))
(/.f32 (-.f32 (/.f32 (neg.f32 cosTheta_O) (.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 0 (sinh.f32 (/.f32 1 v)))) (neg.f32 (.f32 v (/.f32 v cosTheta_i))))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 3/2) (/.f32 (+.f32 cosTheta_O cosTheta_O) (sinh.f32 (/.f32 1 v)))) (neg.f32 (.f32 v (/.f32 v cosTheta_i))))
(/.f32 (-.f32 (.f32 0 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v)))) (/.f32 (.f32 (*.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(/.f32 (-.f32 (/.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O))) (/.f32 (.f32 (*.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(/.f32 (-.f32 (/.f32 (/.f32 0 v) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O))) (/.f32 (.f32 (*.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 0 v)) (/.f32 (.f32 (.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 0 (sinh.f32 (/.f32 1 v)))) (/.f32 (.f32 (*.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v))) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 1 v)) 2)) (neg.f32 (/.f32 cosTheta_i v))) (*.f32 0 (neg.f32 (/.f32 cosTheta_i v)))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 0 v)) (.f32 cosTheta_O (*.f32 (/.f32 (/.f32 cosTheta_i v) v) 1/2))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (-.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_O (.f32 (/.f32 (/.f32 cosTheta_i v) v) 1/2))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O 1/2) (/.f32 (/.f32 0 v) v)) (.f32 cosTheta_O (.f32 (/.f32 (/.f32 cosTheta_i v) v) 1/2))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O 1/2) (/.f32 0 v)) (.f32 cosTheta_O (.f32 (/.f32 (/.f32 cosTheta_i v) v) 1/2))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O -1/2) (sinh.f32 (/.f32 1 v))) (/.f32 0 (sinh.f32 (/.f32 1 v)))) (neg.f32 (.f32 v (/.f32 v cosTheta_i))))
(neg.f32 (.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v)))) -1/2))
(neg.f32 (/.f32 (neg.f32 cosTheta_O) (.f32 v (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 v cosTheta_i)))))
(neg.f32 (/.f32 (.f32 cosTheta_O -1/2) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))))
(neg.f32 (/.f32 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) -1/2) (.f32 v (/.f32 v cosTheta_i))))
(neg.f32 (/.f32 (neg.f32 (/.f32 cosTheta_i v)) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O))))
(neg.f32 (.f32 (/.f32 (.f32 (*.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 1 v))))

Outputs
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1 v)
(+.f32 (/.f32 1 v) (*.f32 1/6 (/.f32 1 (pow.f32 v 3))))
(+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3)))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1 v) (.f32 1/120 (/.f32 1 (pow.f32 v 5)))))
(+.f32 (/.f32 1/6 (pow.f32 v 3)) (+.f32 (/.f32 1 v) (/.f32 1/120 (pow.f32 v 5))))
(+.f32 (/.f32 1 v) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (/.f32 1/120 (pow.f32 v 5))))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1 v) (+.f32 (.f32 1/5040 (/.f32 1 (pow.f32 v 7))) (*.f32 1/120 (/.f32 1 (pow.f32 v 5))))))
(+.f32 (/.f32 1 v) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (+.f32 (/.f32 1/120 (pow.f32 v 5)) (/.f32 1/5040 (pow.f32 v 7)))))
(/.f32 1 v)
(+.f32 (/.f32 1 v) (*.f32 1/6 (/.f32 1 (pow.f32 v 3))))
(+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3)))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1 v) (.f32 1/120 (/.f32 1 (pow.f32 v 5)))))
(+.f32 (/.f32 1/6 (pow.f32 v 3)) (+.f32 (/.f32 1 v) (/.f32 1/120 (pow.f32 v 5))))
(+.f32 (/.f32 1 v) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (/.f32 1/120 (pow.f32 v 5))))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1 v) (+.f32 (.f32 1/5040 (/.f32 1 (pow.f32 v 7))) (*.f32 1/120 (/.f32 1 (pow.f32 v 5))))))
(+.f32 (/.f32 1 v) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (+.f32 (/.f32 1/120 (pow.f32 v 5)) (/.f32 1/5040 (pow.f32 v 7)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 v cosTheta_O))
(.f32 v (.f32 1/2 cosTheta_O))
(+.f32 (.f32 -1/12 (/.f32 cosTheta_O v)) (.f32 1/2 (*.f32 v cosTheta_O)))
(+.f32 (.f32 1/2 (.f32 v cosTheta_O)) (*.f32 -1/12 (/.f32 cosTheta_O v)))
(+.f32 (.f32 v (.f32 1/2 cosTheta_O)) (/.f32 cosTheta_O (/.f32 v -1/12)))
(+.f32 (.f32 -1/12 (/.f32 cosTheta_O v)) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/120 cosTheta_O) (.f32 -1/36 cosTheta_O)) (pow.f32 v 3))) (.f32 1/2 (.f32 v cosTheta_O))))
(+.f32 (.f32 -1/12 (/.f32 cosTheta_O v)) (+.f32 (.f32 1/2 (.f32 v cosTheta_O)) (.f32 -1/2 (/.f32 (+.f32 (.f32 1/120 cosTheta_O) (.f32 cosTheta_O -1/36)) (pow.f32 v 3)))))
(+.f32 (+.f32 (.f32 v (.f32 1/2 cosTheta_O)) (/.f32 cosTheta_O (/.f32 v -1/12))) (/.f32 -1/2 (/.f32 (pow.f32 v 3) (+.f32 (.f32 1/120 cosTheta_O) (.f32 cosTheta_O -1/36)))))
(+.f32 (.f32 -1/12 (/.f32 cosTheta_O v)) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 -1/6 (+.f32 (.f32 1/120 cosTheta_O) (.f32 -1/36 cosTheta_O))) (+.f32 (.f32 -1/720 cosTheta_O) (.f32 1/5040 cosTheta_O))) (pow.f32 v 5))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/120 cosTheta_O) (.f32 -1/36 cosTheta_O)) (pow.f32 v 3))) (.f32 1/2 (.f32 v cosTheta_O)))))
(+.f32 (.f32 -1/12 (/.f32 cosTheta_O v)) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/120 cosTheta_O) (.f32 cosTheta_O -1/36)) (pow.f32 v 3))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 (+.f32 (.f32 1/120 cosTheta_O) (.f32 cosTheta_O -1/36)) -1/6) (+.f32 (.f32 cosTheta_O -1/720) (.f32 1/5040 cosTheta_O))) (pow.f32 v 5))) (.f32 1/2 (.f32 v cosTheta_O)))))
(+.f32 (/.f32 -1/2 (/.f32 (pow.f32 v 3) (+.f32 (.f32 1/120 cosTheta_O) (.f32 cosTheta_O -1/36)))) (+.f32 (/.f32 cosTheta_O (/.f32 v -1/12)) (+.f32 (.f32 v (.f32 1/2 cosTheta_O)) (/.f32 -1/2 (/.f32 (pow.f32 v 5) (+.f32 (+.f32 (.f32 (.f32 1/120 cosTheta_O) -1/6) (.f32 cosTheta_O 1/216)) (+.f32 (.f32 cosTheta_O -1/720) (*.f32 1/5040 cosTheta_O))))))))
(.f32 1/2 (.f32 v cosTheta_O))
(.f32 v (.f32 1/2 cosTheta_O))
(+.f32 (.f32 -1/12 (/.f32 cosTheta_O v)) (.f32 1/2 (*.f32 v cosTheta_O)))
(+.f32 (.f32 1/2 (.f32 v cosTheta_O)) (*.f32 -1/12 (/.f32 cosTheta_O v)))
(+.f32 (.f32 v (.f32 1/2 cosTheta_O)) (/.f32 cosTheta_O (/.f32 v -1/12)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1/120 cosTheta_O) (.f32 1/36 cosTheta_O)) (pow.f32 v 3))) (+.f32 (.f32 -1/12 (/.f32 cosTheta_O v)) (.f32 1/2 (.f32 v cosTheta_O))))
(+.f32 (+.f32 (.f32 1/2 (.f32 v cosTheta_O)) (.f32 -1/12 (/.f32 cosTheta_O v))) (.f32 1/2 (/.f32 (+.f32 (.f32 cosTheta_O -1/120) (.f32 cosTheta_O 1/36)) (pow.f32 v 3))))
(+.f32 (.f32 v (.f32 1/2 cosTheta_O)) (+.f32 (/.f32 (+.f32 (.f32 cosTheta_O -1/120) (.f32 cosTheta_O 1/36)) (/.f32 (pow.f32 v 3) 1/2)) (/.f32 cosTheta_O (/.f32 v -1/12))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1/120 cosTheta_O) (.f32 1/36 cosTheta_O)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1/5040 cosTheta_O) (+.f32 (.f32 1/720 cosTheta_O) (.f32 -1/6 (+.f32 (.f32 -1/120 cosTheta_O) (.f32 1/36 cosTheta_O))))) (pow.f32 v 5))) (+.f32 (.f32 -1/12 (/.f32 cosTheta_O v)) (.f32 1/2 (.f32 v cosTheta_O)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 cosTheta_O -1/120) (.f32 cosTheta_O 1/36)) (pow.f32 v 3))) (+.f32 (+.f32 (.f32 1/2 (.f32 v cosTheta_O)) (.f32 -1/12 (/.f32 cosTheta_O v))) (.f32 1/2 (/.f32 (+.f32 (.f32 cosTheta_O -1/5040) (+.f32 (.f32 cosTheta_O 1/720) (.f32 -1/6 (+.f32 (.f32 cosTheta_O -1/120) (.f32 cosTheta_O 1/36))))) (pow.f32 v 5)))))
(+.f32 (+.f32 (.f32 v (.f32 1/2 cosTheta_O)) (/.f32 cosTheta_O (/.f32 v -1/12))) (+.f32 (/.f32 (+.f32 (.f32 cosTheta_O -1/120) (.f32 cosTheta_O 1/36)) (/.f32 (pow.f32 v 3) 1/2)) (/.f32 1/2 (/.f32 (pow.f32 v 5) (+.f32 (.f32 cosTheta_O -1/5040) (+.f32 (.f32 (.f32 cosTheta_O -1/120) -1/6) (+.f32 (.f32 cosTheta_O 1/720) (*.f32 cosTheta_O -1/216))))))))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 cosTheta_i (pow.f32 v 2))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 v 2)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 v 2)) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 v 2)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 v 2)) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 v 2)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 v 2)) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 v 2)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 v 2)) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 v 2)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 v 2)) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
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(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 v 2)) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 v 2)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 v 2)) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 v 2)))
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(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(/.f32 (neg.f32 (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) v))) (neg.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2)))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(/.f32 (neg.f32 (.f32 cosTheta_O (.f32 (/.f32 (/.f32 cosTheta_i v) v) 1/2))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(/.f32 (neg.f32 (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 1 v)) 2)) cosTheta_i)) (neg.f32 (*.f32 v v)))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(/.f32 (neg.f32 (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 1 v)) 2)) cosTheta_i)) (*.f32 v (neg.f32 v)))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 (/.f32 (/.f32 cosTheta_i v) v) 1/2)) (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) v))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(-.f32 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 cosTheta_i v) v)) (.f32 cosTheta_O (*.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v))))))
(/.f32 (/.f32 (-.f32 (*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (sinh.f32 (/.f32 1 v))) (neg.f32 v))
(/.f32 (-.f32 (.f32 0 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v)))) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 1 v)) 2))) (neg.f32 (*.f32 v (/.f32 v cosTheta_i))))
(/.f32 (-.f32 (/.f32 cosTheta_O (.f32 2 (sinh.f32 (/.f32 1 v)))) (/.f32 0 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_O))) (.f32 v (/.f32 v cosTheta_i)))
(.f32 (+.f32 (.f32 1/2 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v)))) (/.f32 0 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_O))) (/.f32 cosTheta_i (*.f32 v v)))
(/.f32 (-.f32 (-.f32 cosTheta_O cosTheta_O) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 1 v)) 2))) (neg.f32 (.f32 v (/.f32 v cosTheta_i))))
(/.f32 (-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_O (.f32 2 (sinh.f32 (/.f32 1 v)))))) (.f32 v (/.f32 v cosTheta_i)))
(.f32 (-.f32 (.f32 1/2 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v)))) (-.f32 cosTheta_O cosTheta_O)) (/.f32 cosTheta_i (*.f32 v v)))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) -1/2) (/.f32 0 (sinh.f32 (/.f32 1 v)))) (neg.f32 (.f32 v (/.f32 v cosTheta_i))))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(/.f32 (-.f32 (/.f32 (neg.f32 cosTheta_O) (.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 0 (sinh.f32 (/.f32 1 v)))) (neg.f32 (.f32 v (/.f32 v cosTheta_i))))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 3/2) (/.f32 (+.f32 cosTheta_O cosTheta_O) (sinh.f32 (/.f32 1 v)))) (neg.f32 (.f32 v (/.f32 v cosTheta_i))))
(/.f32 (-.f32 (/.f32 (+.f32 cosTheta_O cosTheta_O) (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 3/2)) (.f32 v (/.f32 v cosTheta_i)))
(.f32 (-.f32 (/.f32 (+.f32 cosTheta_O cosTheta_O) (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 3/2)) (/.f32 cosTheta_i (*.f32 v v)))
(/.f32 (-.f32 (.f32 0 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v)))) (/.f32 (.f32 (*.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(/.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 1/2 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_O))) (/.f32 0 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_O))) v)
(/.f32 (-.f32 (.f32 1/2 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))))) (/.f32 0 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_O))) v)
(/.f32 (-.f32 (/.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O))) (/.f32 (.f32 (*.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(/.f32 (-.f32 (/.f32 (/.f32 0 v) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O))) (/.f32 (.f32 (*.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 0 v)) (/.f32 (.f32 (.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 0 (sinh.f32 (/.f32 1 v)))) (/.f32 (.f32 (*.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v))) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(-.f32 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 cosTheta_i v) v)) (.f32 cosTheta_O (*.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v))))))
(/.f32 (/.f32 (-.f32 (*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (sinh.f32 (/.f32 1 v))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 1 v)) 2)) (neg.f32 (/.f32 cosTheta_i v))) (*.f32 0 (neg.f32 (/.f32 cosTheta_i v)))) (neg.f32 v))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 0 v)) (.f32 cosTheta_O (*.f32 (/.f32 (/.f32 cosTheta_i v) v) 1/2))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(/.f32 (-.f32 (-.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_O (.f32 (/.f32 (/.f32 cosTheta_i v) v) 1/2))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 cosTheta_i v) v))) (-.f32 cosTheta_O cosTheta_O)) (sinh.f32 (/.f32 1 v)))
(/.f32 (-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_O (/.f32 (.f32 v v) (.f32 cosTheta_i 1/2))))) (sinh.f32 (/.f32 1 v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O 1/2) (/.f32 (/.f32 0 v) v)) (.f32 cosTheta_O (.f32 (/.f32 (/.f32 cosTheta_i v) v) 1/2))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 cosTheta_i v) v))) (/.f32 (.f32 (.f32 1/2 cosTheta_O) (/.f32 0 v)) v)) (sinh.f32 (/.f32 1 v)))
(/.f32 (-.f32 (/.f32 cosTheta_O (/.f32 (.f32 v v) (.f32 cosTheta_i 1/2))) (/.f32 (/.f32 (*.f32 cosTheta_O 0) v) v)) (sinh.f32 (/.f32 1 v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O 1/2) (/.f32 0 v)) (.f32 cosTheta_O (.f32 (/.f32 (/.f32 cosTheta_i v) v) 1/2))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 cosTheta_i v) v))) (.f32 (.f32 1/2 cosTheta_O) (/.f32 0 v))) (sinh.f32 (/.f32 1 v)))
(/.f32 (-.f32 (/.f32 cosTheta_O (/.f32 (.f32 v v) (.f32 cosTheta_i 1/2))) (/.f32 (*.f32 cosTheta_O 0) v)) (sinh.f32 (/.f32 1 v)))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O -1/2) (sinh.f32 (/.f32 1 v))) (/.f32 0 (sinh.f32 (/.f32 1 v)))) (neg.f32 (.f32 v (/.f32 v cosTheta_i))))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(neg.f32 (.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v)))) -1/2))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(neg.f32 (/.f32 (neg.f32 cosTheta_O) (.f32 v (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 v cosTheta_i)))))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(neg.f32 (/.f32 (.f32 cosTheta_O -1/2) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(neg.f32 (/.f32 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) -1/2) (.f32 v (/.f32 v cosTheta_i))))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(neg.f32 (/.f32 (neg.f32 (/.f32 cosTheta_i v)) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O))))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))
(neg.f32 (.f32 (/.f32 (.f32 (*.f32 cosTheta_O 1/2) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 1 v))))
(.f32 cosTheta_O (.f32 1/2 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (*.f32 v v))))

localize81.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v)
✓	0.3b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	0.3b	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
	0.8b	(sinh.f32 (/.f32 1 v))

Compiler

Compiled 97 to 37 computations (61.9% saved)

series10.0ms (0%)

Counts

3 → 12

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	sinTheta_O	@	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
1.0ms	sinTheta_i	@	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
0.0ms	v	@	0	(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v)
0.0ms	v	@	inf	(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v)
0.0ms	sinTheta_i	@	inf	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

rewrite86.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`rational.json-1`
964×	`rational.json-2`
964×	`rational.json-4`
964×	`rational.json-3`
946×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	49
1	107	49
2	369	49
3	2212	49

Stop Event

1×	node limit

Counts

3 → 492

Calls

Call 1

Inputs
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 0 v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (-.f32 sinTheta_O sinTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (neg.f32 (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 0 (/.f32 v sinTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 (-.f32 sinTheta_i sinTheta_i) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 (-.f32 sinTheta_O sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 sinTheta_O (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 0 (/.f32 sinTheta_i v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 -1 (/.f32 v 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))) (.f32 sinTheta_O (.f32 (/.f32 sinTheta_i v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_O (.f32 (/.f32 sinTheta_i v) 2)) (.f32 sinTheta_O 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Outputs

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#<rule egg-rr> (2) ((x /.f32 1 (/.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (*.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 -1 (*.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (*.f32 (/.f32 1 v) (/.f32 1 (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 v v) (/.f32 1 (sinh.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 v v) (/.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 (/.f32 1 v) (*.f32 (sinh.f32 (/.f32 1 v)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 v) (/.f32 -1 (*.f32 (sinh.f32 (/.f32 1 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 v) (neg.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sinh.f32 (/.f32 1 v)) -2) (/.f32 -1 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sinh.f32 (/.f32 1 v)) -2) (-.f32 (/.f32 0 v) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sinh.f32 (/.f32 1 v)) -2) (-.f32 (/.f32 3 v) (/.f32 4 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 4) 1/4) (/.f32 1/2 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 1/2 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 2 v)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 0) (*.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 -1 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (sinh.f32 (/.f32 1 v)) (*.f32 (sinh.f32 (/.f32 1 v)) 3)) (/.f32 -1 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 6) (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) 4))) (/.f32 -1 v))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) -2)))))))

simplify153.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1260×	`rational.json-simplify-5`
954×	`rational.json-simplify-24`
710×	`rational.json-simplify-1`
668×	`rational.json-simplify-2`
622×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	951	16762
1	2617	15930

Stop Event

1×	node limit

Counts

504 → 730

Calls

Call 1

Inputs
(*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
2
(+.f32 2 (*.f32 1/3 (/.f32 1 (pow.f32 v 2))))
(+.f32 2 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 2))) (.f32 1/60 (/.f32 1 (pow.f32 v 4)))))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 6))) (+.f32 2 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 2))) (*.f32 1/60 (/.f32 1 (pow.f32 v 4))))))
2
(+.f32 2 (*.f32 1/3 (/.f32 1 (pow.f32 v 2))))
(+.f32 2 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 2))) (.f32 1/60 (/.f32 1 (pow.f32 v 4)))))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 6))) (+.f32 2 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 2))) (*.f32 1/60 (/.f32 1 (pow.f32 v 4))))))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 0)
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 0 v))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (-.f32 sinTheta_O sinTheta_O))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (neg.f32 (/.f32 0 v)))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O)))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 0 v)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 0 (/.f32 v sinTheta_i)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 (-.f32 sinTheta_i sinTheta_i) v))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 (-.f32 sinTheta_O sinTheta_O) v))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 sinTheta_O (/.f32 0 v)))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 0 (/.f32 sinTheta_i v)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 -1 (/.f32 v 0)))
(+.f32 0 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (/.f32 0 v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))) (.f32 sinTheta_O (*.f32 (/.f32 sinTheta_i v) 2)))
(+.f32 (-.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (.f32 sinTheta_O (.f32 (/.f32 sinTheta_i v) 2)) (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
(+.f32 (neg.f32 (/.f32 0 v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 0 v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (/.f32 0 (/.f32 v sinTheta_i)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (/.f32 (-.f32 sinTheta_i sinTheta_i) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (/.f32 (-.f32 sinTheta_O sinTheta_O) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 1/2 v)) (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 1/2 v)))
(+.f32 (.f32 sinTheta_O (/.f32 0 v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (.f32 0 (/.f32 sinTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (+.f32 v v)) (/.f32 (.f32 sinTheta_i sinTheta_O) (+.f32 v v)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 0)
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 0 v))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (-.f32 sinTheta_O sinTheta_O))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (neg.f32 (/.f32 0 v)))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O)))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 0 v)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 0 (/.f32 v sinTheta_i)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 (-.f32 sinTheta_i sinTheta_i) v))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 (-.f32 sinTheta_O sinTheta_O) v))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 sinTheta_O (/.f32 0 v)))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 0 (/.f32 sinTheta_i v)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 (/.f32 (neg.f32 v) 0)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (-.f32 sinTheta_O sinTheta_O) (-.f32 sinTheta_O sinTheta_O)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (/.f32 0 v) (/.f32 0 v)))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O)) (-.f32 sinTheta_O sinTheta_O)))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 0 (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O))))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (-.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O))))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O))))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (-.f32 sinTheta_O sinTheta_O) (/.f32 0 v)))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 0 v)) (/.f32 0 v)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (/.f32 0 (/.f32 v sinTheta_i)) (/.f32 0 v)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (/.f32 (-.f32 sinTheta_i sinTheta_i) v) (/.f32 0 v)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (/.f32 (-.f32 sinTheta_O sinTheta_O) v) (/.f32 0 v)))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (.f32 sinTheta_O (/.f32 0 v)) (/.f32 0 v)))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O)) (/.f32 0 v)))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (.f32 0 (/.f32 sinTheta_i v)) (/.f32 0 v)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (/.f32 0 v) (-.f32 sinTheta_O sinTheta_O)))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 0 v)) (-.f32 sinTheta_O sinTheta_O)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (/.f32 0 (/.f32 v sinTheta_i)) (-.f32 sinTheta_O sinTheta_O)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (/.f32 (-.f32 sinTheta_i sinTheta_i) v) (-.f32 sinTheta_O sinTheta_O)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (/.f32 (-.f32 sinTheta_O sinTheta_O) v) (-.f32 sinTheta_O sinTheta_O)))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (.f32 sinTheta_O (/.f32 0 v)) (-.f32 sinTheta_O sinTheta_O)))
(-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (.f32 0 (/.f32 sinTheta_i v)) (-.f32 sinTheta_O sinTheta_O)))
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(*.f32 (/.f32 cosTheta_i (neg.f32 v)) (neg.f32 cosTheta_O))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) (+.f32 cosTheta_i cosTheta_i))
(.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 1/2 v)) 2)
(.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) 1/2) (/.f32 2 v))
(.f32 (.f32 (/.f32 cosTheta_i v) 1/2) (+.f32 cosTheta_O cosTheta_O))
(*.f32 (/.f32 cosTheta_i (+.f32 v v)) (+.f32 cosTheta_O cosTheta_O))
(*.f32 (/.f32 cosTheta_O (+.f32 v v)) (+.f32 cosTheta_i cosTheta_i))
(*.f32 (/.f32 (+.f32 cosTheta_i cosTheta_i) v) (/.f32 1/2 (/.f32 1 cosTheta_O)))
(.f32 (.f32 (+.f32 cosTheta_i cosTheta_i) (+.f32 cosTheta_O cosTheta_O)) (/.f32 1/2 (+.f32 v v)))
(.f32 (.f32 (+.f32 cosTheta_i cosTheta_i) (+.f32 cosTheta_O cosTheta_O)) (-.f32 (/.f32 1/2 v) (/.f32 1/2 (+.f32 v v))))
(.f32 (.f32 (+.f32 cosTheta_i cosTheta_i) (+.f32 cosTheta_O cosTheta_O)) (/.f32 1/2 (/.f32 1 (/.f32 1/2 v))))
(.f32 (neg.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O))) (neg.f32 (/.f32 1/2 v)))
(.f32 (neg.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O))) (/.f32 1/2 (neg.f32 v)))
(*.f32 (+.f32 (/.f32 (neg.f32 cosTheta_O) (/.f32 v cosTheta_i)) (/.f32 (neg.f32 cosTheta_O) (/.f32 v cosTheta_i))) -1/2)
(*.f32 (/.f32 (+.f32 cosTheta_O cosTheta_O) -1) (/.f32 1/2 (neg.f32 (/.f32 v cosTheta_i))))
(.f32 (/.f32 1/2 (+.f32 v v)) (.f32 (+.f32 cosTheta_i cosTheta_i) (+.f32 cosTheta_O cosTheta_O)))
(.f32 (/.f32 1/2 (neg.f32 v)) (neg.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O))))
(*.f32 (/.f32 1/2 (/.f32 v cosTheta_i)) (+.f32 cosTheta_O cosTheta_O))
(.f32 (/.f32 1/2 (/.f32 v (.f32 cosTheta_i cosTheta_O))) 2)
(*.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_O v)) (/.f32 1/2 (/.f32 1 cosTheta_i)))
(.f32 (+.f32 (neg.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O))) (neg.f32 (*.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)))) (/.f32 1/2 (/.f32 (neg.f32 v) 1/2)))
(neg.f32 (/.f32 (neg.f32 cosTheta_O) (/.f32 v cosTheta_i)))
(+.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) 0)
(+.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (*.f32 (sinh.f32 (/.f32 1 v)) 0))
(+.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (-.f32 v v))
(+.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (neg.f32 (-.f32 v v)))
(+.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (neg.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 0)))
(+.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (*.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v)))
(+.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (-.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 0) (-.f32 v v)))
(+.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (-.f32 (-.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) 0)))
(+.f32 0 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)))
(+.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2)) (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)))
(+.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2)))
(+.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
(+.f32 (-.f32 v v) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)))
(+.f32 (neg.f32 (-.f32 v v)) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)))
(+.f32 (neg.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0)) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
(+.f32 (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v)) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
(+.f32 (-.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (-.f32 v v)) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
(+.f32 (-.f32 (-.f32 v v) (.f32 (sinh.f32 (/.f32 1 v)) 0)) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) 0)
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (*.f32 (sinh.f32 (/.f32 1 v)) 0))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (-.f32 v v))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (neg.f32 (-.f32 v v)))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (neg.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 0)))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (*.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v)))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (-.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 0) (-.f32 v v)))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (-.f32 (-.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) 0)))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 (-.f32 v v) (-.f32 v v)))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 (-.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) 0)))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (.f32 (sinh.f32 (/.f32 1 v)) 0)))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 0) (-.f32 v v)))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 (*.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v)) (-.f32 v v)))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v)) (.f32 (sinh.f32 (/.f32 1 v)) 0)))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 0 (*.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 (-.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v)) (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 0 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2)))
(-.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)))
(-.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) -2)))
(-.f32 (-.f32 v v) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2)))
(-.f32 (.f32 0 (neg.f32 v)) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) -2)))
(-.f32 (.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) -2)) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2)))
(-.f32 (.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)) 2) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 6)))
(-.f32 (+.f32 (-.f32 v v) (-.f32 v v)) (+.f32 (-.f32 v v) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2))))
(-.f32 (+.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (.f32 (sinh.f32 (/.f32 1 v)) 0)) (+.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) -2))))
(-.f32 (+.f32 (.f32 0 (neg.f32 v)) (.f32 0 (neg.f32 v))) (+.f32 (.f32 0 (neg.f32 v)) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) -2))))
(-.f32 (+.f32 (.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) -2)) (.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) -2))) (+.f32 (.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) -2)) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2))))
(-.f32 (+.f32 (.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)) 2) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)) 2)) (+.f32 (.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)) 2) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 6))))
(/.f32 v (/.f32 1/2 (sinh.f32 (/.f32 1 v))))
(/.f32 1 (/.f32 (/.f32 1 v) (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
(/.f32 1 (/.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) v))
(/.f32 1 (/.f32 1 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(/.f32 1 (/.f32 -1 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2))))
(/.f32 2 (*.f32 (/.f32 1 v) (/.f32 1 (sinh.f32 (/.f32 1 v)))))
(/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 1 v))
(/.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) 1)
(/.f32 (+.f32 v v) (/.f32 1 (sinh.f32 (/.f32 1 v))))
(/.f32 (+.f32 v v) (/.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
(/.f32 -1 (/.f32 (/.f32 1 v) (*.f32 (sinh.f32 (/.f32 1 v)) -2)))
(/.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2)) -1)
(/.f32 (neg.f32 v) (/.f32 -1 (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
(/.f32 (neg.f32 v) (neg.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v)))))
(/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) -2) (/.f32 -1 v))
(/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) -2) (-.f32 (/.f32 0 v) (/.f32 1 v)))
(/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) -2) (-.f32 (/.f32 3 v) (/.f32 4 v)))
(/.f32 (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 4) 1/4) (/.f32 1/2 v))
(/.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 1/2 v)) 2)
(/.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 2 v)) 1/2)
(/.f32 (-.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 -1 v))
(/.f32 (-.f32 (sinh.f32 (/.f32 1 v)) (*.f32 (sinh.f32 (/.f32 1 v)) 3)) (/.f32 -1 v))
(/.f32 (-.f32 (.f32 (sinh.f32 (/.f32 1 v)) 6) (.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) 4))) (/.f32 -1 v))
(neg.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2)))

Outputs
(*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
2
(+.f32 2 (*.f32 1/3 (/.f32 1 (pow.f32 v 2))))
(+.f32 2 (/.f32 1/3 (pow.f32 v 2)))
(+.f32 2 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 2))) (.f32 1/60 (/.f32 1 (pow.f32 v 4)))))
(+.f32 2 (+.f32 (/.f32 1/3 (pow.f32 v 2)) (/.f32 1/60 (pow.f32 v 4))))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 6))) (+.f32 2 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 2))) (*.f32 1/60 (/.f32 1 (pow.f32 v 4))))))
(+.f32 2 (+.f32 (/.f32 1/2520 (pow.f32 v 6)) (+.f32 (/.f32 1/3 (pow.f32 v 2)) (/.f32 1/60 (pow.f32 v 4)))))
(+.f32 2 (+.f32 (+.f32 (/.f32 1/3 (pow.f32 v 2)) (/.f32 1/60 (pow.f32 v 4))) (/.f32 1/2520 (pow.f32 v 6))))
2
(+.f32 2 (*.f32 1/3 (/.f32 1 (pow.f32 v 2))))
(+.f32 2 (/.f32 1/3 (pow.f32 v 2)))
(+.f32 2 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 2))) (.f32 1/60 (/.f32 1 (pow.f32 v 4)))))
(+.f32 2 (+.f32 (/.f32 1/3 (pow.f32 v 2)) (/.f32 1/60 (pow.f32 v 4))))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 6))) (+.f32 2 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 2))) (*.f32 1/60 (/.f32 1 (pow.f32 v 4))))))
(+.f32 2 (+.f32 (/.f32 1/2520 (pow.f32 v 6)) (+.f32 (/.f32 1/3 (pow.f32 v 2)) (/.f32 1/60 (pow.f32 v 4)))))
(+.f32 2 (+.f32 (+.f32 (/.f32 1/3 (pow.f32 v 2)) (/.f32 1/60 (pow.f32 v 4))) (/.f32 1/2520 (pow.f32 v 6))))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 0)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 0 v))
(/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 0) v)
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (-.f32 sinTheta_O sinTheta_O))
(+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (-.f32 sinTheta_O sinTheta_O))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (neg.f32 (/.f32 0 v)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 0 v))
(/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 0) v)
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O)))
(+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O)))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 0 v)))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 (/.f32 0 v) (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 0 v))))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 0 (/.f32 v sinTheta_i)))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 0 (/.f32 sinTheta_i v)))
(+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (.f32 0 (/.f32 sinTheta_i v)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 (-.f32 sinTheta_i sinTheta_i) v))
(+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (-.f32 sinTheta_i sinTheta_i) v))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 (-.f32 sinTheta_O sinTheta_O) v))
(+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (-.f32 sinTheta_O sinTheta_O) v))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 sinTheta_O (/.f32 0 v)))
(+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (.f32 sinTheta_O (/.f32 0 v)))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 0 (/.f32 sinTheta_i v)))
(+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (.f32 0 (/.f32 sinTheta_i v)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 -1 (/.f32 v 0)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 0 v))
(/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 0) v)
(+.f32 0 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(+.f32 (/.f32 0 v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 0 v))
(/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 0) v)
(+.f32 (.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))) (.f32 sinTheta_O (*.f32 (/.f32 sinTheta_i v) 2)))
(+.f32 (.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))) (.f32 sinTheta_O (*.f32 2 (/.f32 sinTheta_i v))))
(+.f32 (.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))) (.f32 2 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (-.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (-.f32 sinTheta_O sinTheta_O))
(+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (-.f32 sinTheta_O sinTheta_O))
(+.f32 (.f32 sinTheta_O (.f32 (/.f32 sinTheta_i v) 2)) (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
(+.f32 (.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))) (.f32 sinTheta_O (*.f32 2 (/.f32 sinTheta_i v))))
(+.f32 (.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))) (.f32 2 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (neg.f32 (/.f32 0 v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 0 v))
(/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 0) v)
(+.f32 (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O)))
(+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (.f32 sinTheta_i (-.f32 sinTheta_O sinTheta_O)))
(+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 0 v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 (/.f32 0 v) (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 0 v))))
(+.f32 (/.f32 0 (/.f32 v sinTheta_i)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 0 (/.f32 sinTheta_i v)))
(+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (.f32 0 (/.f32 sinTheta_i v)))
(+.f32 (/.f32 (-.f32 sinTheta_i sinTheta_i) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 (-.f32 sinTheta_i sinTheta_i) v))
(+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (-.f32 sinTheta_i sinTheta_i) v))
(+.f32 (/.f32 (-.f32 sinTheta_O sinTheta_O) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 (-.f32 sinTheta_O sinTheta_O) v))
(+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (-.f32 sinTheta_O sinTheta_O) v))
(+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 1/2 v)) (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 1/2 v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(+.f32 (.f32 sinTheta_O (/.f32 0 v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 sinTheta_O (/.f32 0 v)))
(+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (.f32 sinTheta_O (/.f32 0 v)))
(+.f32 (.f32 0 (/.f32 sinTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (.f32 0 (/.f32 sinTheta_i v)))
(+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (.f32 0 (/.f32 sinTheta_i v)))
(+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (+.f32 v v)) (/.f32 (.f32 sinTheta_i sinTheta_O) (+.f32 v v)))
(*.f32 (+.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (+.f32 v v)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 0)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 0 v))
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(-.f32 (.f32 v (.f32 2 (sinh.f32 (/.f32 1 v)))) (+.f32 (.f32 0 (sinh.f32 (/.f32 1 v))) (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 (.f32 2 (.f32 v (sinh.f32 (/.f32 1 v)))) (+.f32 (.f32 0 (sinh.f32 (/.f32 1 v))) (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 0 (*.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 (.f32 v (.f32 2 (sinh.f32 (/.f32 1 v)))) (*.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v)))
(-.f32 (.f32 2 (.f32 v (sinh.f32 (/.f32 1 v)))) (*.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v)))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 (-.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 (.f32 v (.f32 2 (sinh.f32 (/.f32 1 v)))) (+.f32 (-.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 v (-.f32 (+.f32 v (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))) (.f32 2 (*.f32 v (sinh.f32 (/.f32 1 v))))))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 (.f32 v (.f32 2 (sinh.f32 (/.f32 1 v)))) (+.f32 (.f32 0 (sinh.f32 (/.f32 1 v))) (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 (.f32 2 (.f32 v (sinh.f32 (/.f32 1 v)))) (+.f32 (.f32 0 (sinh.f32 (/.f32 1 v))) (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (+.f32 (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v)) (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 (.f32 v (.f32 2 (sinh.f32 (/.f32 1 v)))) (+.f32 (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v)) (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 (.f32 2 (.f32 v (sinh.f32 (/.f32 1 v)))) (+.f32 (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v)) (.f32 (sinh.f32 (/.f32 1 v)) (-.f32 v v))))
(-.f32 0 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2)))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(-.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)))
(-.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)) (.f32 v (.f32 2 (sinh.f32 (/.f32 1 v)))))
(.f32 (sinh.f32 (/.f32 1 v)) (-.f32 (.f32 v 4) (*.f32 v 2)))
(-.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) -2)))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(-.f32 (-.f32 v v) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2)))
(-.f32 (-.f32 v v) (.f32 v (.f32 -2 (sinh.f32 (/.f32 1 v)))))
(-.f32 (-.f32 v v) (.f32 -2 (.f32 v (sinh.f32 (/.f32 1 v)))))
(-.f32 (.f32 0 (neg.f32 v)) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) -2)))
(-.f32 (.f32 0 (neg.f32 v)) (.f32 v (*.f32 -2 (sinh.f32 (/.f32 1 v)))))
(-.f32 (.f32 v 0) (.f32 -2 (*.f32 v (sinh.f32 (/.f32 1 v)))))
(-.f32 (.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) -2)) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2)))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(-.f32 (.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)) 2) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 6)))
(-.f32 (.f32 2 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4))) (.f32 v (*.f32 6 (sinh.f32 (/.f32 1 v)))))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 8)) (.f32 6 (.f32 v (sinh.f32 (/.f32 1 v)))))
(-.f32 (+.f32 (-.f32 v v) (-.f32 v v)) (+.f32 (-.f32 v v) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2))))
(-.f32 (-.f32 v v) (.f32 v (.f32 -2 (sinh.f32 (/.f32 1 v)))))
(-.f32 (-.f32 v v) (.f32 -2 (.f32 v (sinh.f32 (/.f32 1 v)))))
(-.f32 (+.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (.f32 (sinh.f32 (/.f32 1 v)) 0)) (+.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) -2))))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(-.f32 (+.f32 (.f32 0 (neg.f32 v)) (.f32 0 (neg.f32 v))) (+.f32 (.f32 0 (neg.f32 v)) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) -2))))
(-.f32 (.f32 0 (neg.f32 v)) (.f32 v (*.f32 -2 (sinh.f32 (/.f32 1 v)))))
(-.f32 (.f32 v 0) (.f32 -2 (*.f32 v (sinh.f32 (/.f32 1 v)))))
(-.f32 (+.f32 (.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) -2)) (.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) -2))) (+.f32 (.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) -2)) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2))))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(-.f32 (+.f32 (.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)) 2) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)) 2)) (+.f32 (.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)) 2) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 6))))
(-.f32 (.f32 2 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4))) (.f32 v (*.f32 6 (sinh.f32 (/.f32 1 v)))))
(-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 8)) (.f32 6 (.f32 v (sinh.f32 (/.f32 1 v)))))
(/.f32 v (/.f32 1/2 (sinh.f32 (/.f32 1 v))))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 1 (/.f32 (/.f32 1 v) (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 1 (/.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) v))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 1 (/.f32 1 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 1 (/.f32 -1 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2))))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 2 (*.f32 (/.f32 1 v) (/.f32 1 (sinh.f32 (/.f32 1 v)))))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 1 v))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) 1)
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (+.f32 v v) (/.f32 1 (sinh.f32 (/.f32 1 v))))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (+.f32 v v) (/.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 -1 (/.f32 (/.f32 1 v) (*.f32 (sinh.f32 (/.f32 1 v)) -2)))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2)) -1)
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (neg.f32 v) (/.f32 -1 (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (neg.f32 v) (neg.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v)))))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) -2) (/.f32 -1 v))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) -2) (-.f32 (/.f32 0 v) (/.f32 1 v)))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) -2) (-.f32 (/.f32 3 v) (/.f32 4 v)))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 4) 1/4) (/.f32 1/2 v))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 1/2 v)) 2)
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 2 v)) 1/2)
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 -1 v))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (sinh.f32 (/.f32 1 v)) (*.f32 (sinh.f32 (/.f32 1 v)) 3)) (/.f32 -1 v))
(.f32 (-.f32 (sinh.f32 (/.f32 1 v)) (.f32 3 (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (sinh.f32 (/.f32 1 v)) 6) (.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) 4))) (/.f32 -1 v))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))
(neg.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) -2)))
(.f32 v (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 2 (.f32 v (sinh.f32 (/.f32 1 v))))

localize82.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	0.2b	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
✓	0.3b	(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))
	0.8b	(sinh.f32 (/.f32 1 v))

Compiler

Compiled 108 to 28 computations (74.1% saved)

series35.0ms (0.1%)

Counts

3 → 156

Calls

39 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
5.0ms	v	@	-inf	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
2.0ms	sinTheta_i	@	inf	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
1.0ms	cosTheta_i	@	0	(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))
1.0ms	sinTheta_O	@	inf	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))

rewrite120.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`rational.json-simplify-44`
984×	`rational.json-simplify-35`
766×	`rational.json-simplify-1`
644×	`rational.json-simplify-43`
586×	`rational.json-simplify-14`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	125
1	149	125
2	682	125
3	5903	125

Stop Event

1×	node limit

Counts

3 → 438

Calls

Call 1

Inputs

(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))

(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))

(*.f32 cosTheta_i (/.f32 cosTheta_O v))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i))) (/.f32 0 v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i))) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i))) (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i))) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i))) (neg.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i))) (neg.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i))) (*.f32 0 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i))) (*.f32 0 (-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i))) (/.f32 0 (/.f32 (/.f32 v cosTheta_O) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i))) (/.f32 (-.f32 cosTheta_i cosTheta_i) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i))) (/.f32 (/.f32 cosTheta_O (/.f32 v 0)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) 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((x neg.f32 (/.f32 (neg.f32 (/.f32 cosTheta_O v)) (/.f32 1 cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (neg.f32 (/.f32 cosTheta_O v)) cosTheta_i))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (neg.f32 (/.f32 1 v)) (*.f32 cosTheta_i cosTheta_O)))))))

simplify250.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1588×	`rational.json-simplify-14`
1466×	`rational.json-simplify-15`
544×	`rational.json-simplify-67`
446×	`rational.json-simplify-45`
410×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	879	36512
1	3027	34858

Stop Event

1×	node limit

Counts

594 → 704

Calls

Call 1

Inputs
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
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(neg.f32 (/.f32 (neg.f32 (/.f32 cosTheta_O v)) (/.f32 1 cosTheta_i)))
(neg.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(neg.f32 (*.f32 (neg.f32 (/.f32 cosTheta_O v)) cosTheta_i))
(neg.f32 (.f32 (neg.f32 (/.f32 1 v)) (.f32 cosTheta_i cosTheta_O)))

Outputs
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v 2)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))
(*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2)))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (*.f32 sinTheta_O cosTheta_O))) (pow.f32 v 3))))
(+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) (.f32 -1 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (pow.f32 v 3)))))
(+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) (/.f32 (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_O)))) (pow.f32 v 3)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) cosTheta_O))) (pow.f32 v 4))) (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (*.f32 sinTheta_O cosTheta_O))) (pow.f32 v 3)))))
(+.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) (.f32 -1 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (pow.f32 v 3))))) (.f32 1/2 (.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (pow.f32 sinTheta_O 2))) (/.f32 (pow.f32 sinTheta_i 2) (pow.f32 v 4)))))
(+.f32 (/.f32 (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_O)))) (pow.f32 v 3)) (+.f32 (/.f32 1/2 (/.f32 (pow.f32 v 4) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_O (pow.f32 sinTheta_O 2)))))) (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2)))))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 3) cosTheta_O))) (pow.f32 v 5))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) cosTheta_O))) (pow.f32 v 4))) (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (*.f32 sinTheta_O cosTheta_O))) (pow.f32 v 3))))))
(+.f32 (+.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) (.f32 -1 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (pow.f32 v 3))))) (.f32 1/2 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O (pow.f32 sinTheta_O 2))) (/.f32 (pow.f32 sinTheta_i 2) (pow.f32 v 4))))) (.f32 -1/6 (.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (pow.f32 sinTheta_O 3))) (/.f32 (pow.f32 sinTheta_i 3) (pow.f32 v 5)))))
(+.f32 (/.f32 1/2 (/.f32 (pow.f32 v 4) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_O (pow.f32 sinTheta_O 2)))))) (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) (+.f32 (/.f32 (.f32 -1/6 (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_i 3) (.f32 cosTheta_O (pow.f32 sinTheta_O 3))))) (pow.f32 v 5)) (/.f32 (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O cosTheta_O)))) (pow.f32 v 3)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))
(*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2)))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (*.f32 sinTheta_O cosTheta_O))) (pow.f32 v 3))))
(+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) (.f32 -1 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (pow.f32 v 3)))))
(+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) (/.f32 (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_O)))) (pow.f32 v 3)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) cosTheta_O))) (pow.f32 v 4))) (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (*.f32 sinTheta_O cosTheta_O))) (pow.f32 v 3)))))
(+.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) (.f32 -1 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (pow.f32 v 3))))) (.f32 1/2 (.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (pow.f32 sinTheta_O 2))) (/.f32 (pow.f32 sinTheta_i 2) (pow.f32 v 4)))))
(+.f32 (/.f32 (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_O)))) (pow.f32 v 3)) (+.f32 (/.f32 1/2 (/.f32 (pow.f32 v 4) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_O (pow.f32 sinTheta_O 2)))))) (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2)))))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 3) cosTheta_O))) (pow.f32 v 5))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) cosTheta_O))) (pow.f32 v 4))) (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (*.f32 sinTheta_O cosTheta_O))) (pow.f32 v 3))))))
(+.f32 (+.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) (.f32 -1 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (pow.f32 v 3))))) (.f32 1/2 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O (pow.f32 sinTheta_O 2))) (/.f32 (pow.f32 sinTheta_i 2) (pow.f32 v 4))))) (.f32 -1/6 (.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (pow.f32 sinTheta_O 3))) (/.f32 (pow.f32 sinTheta_i 3) (pow.f32 v 5)))))
(+.f32 (/.f32 1/2 (/.f32 (pow.f32 v 4) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_O (pow.f32 sinTheta_O 2)))))) (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) (+.f32 (/.f32 (.f32 -1/6 (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_i 3) (.f32 cosTheta_O (pow.f32 sinTheta_O 3))))) (pow.f32 v 5)) (/.f32 (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O cosTheta_O)))) (pow.f32 v 3)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))
(*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2)))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (*.f32 sinTheta_O cosTheta_O))) (pow.f32 v 3))))
(+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) (.f32 -1 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (pow.f32 v 3)))))
(+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) (/.f32 (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_O)))) (pow.f32 v 3)))
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(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 0 (-.f32 (/.f32 cosTheta_O v) cosTheta_i)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 0 (/.f32 1 cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 0 (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (/.f32 0 v) (/.f32 1 cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (-.f32 cosTheta_O cosTheta_O) v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 cosTheta_O cosTheta_O)) v)
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (*.f32 cosTheta_i cosTheta_O) 0))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 0 cosTheta_O)))
(.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (.f32 0 cosTheta_O)))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (/.f32 0 v)))
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(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (*.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) 0))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 0 (*.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i))))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (.f32 0 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O))))
(-.f32 0 (*.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(-.f32 (-.f32 cosTheta_i cosTheta_i) (*.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (-.f32 cosTheta_i cosTheta_i)))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (neg.f32 (-.f32 cosTheta_i cosTheta_i)))
(-.f32 (/.f32 cosTheta_O (/.f32 v 0)) (*.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(-.f32 (/.f32 cosTheta_O (/.f32 v 0)) (/.f32 cosTheta_i (neg.f32 (/.f32 v cosTheta_O))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (/.f32 (-.f32 (.f32 2 cosTheta_O) cosTheta_O) v))
(-.f32 (.f32 (.f32 cosTheta_O (/.f32 2 v)) cosTheta_i) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (/.f32 (-.f32 (.f32 2 cosTheta_O) cosTheta_O) v))
(-.f32 (.f32 (/.f32 2 v) (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (/.f32 (-.f32 (.f32 2 cosTheta_O) cosTheta_O) v))
(-.f32 (.f32 0 (neg.f32 cosTheta_i)) (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(-.f32 (.f32 0 (neg.f32 (/.f32 cosTheta_O v))) (.f32 (neg.f32 (/.f32 cosTheta_O v)) cosTheta_i))
(*.f32 (neg.f32 (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(*.f32 (/.f32 cosTheta_O (neg.f32 v)) (neg.f32 cosTheta_i))
(-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) 2) (.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 3)))
(-.f32 (.f32 2 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v)))) (.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 3)))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O v) (/.f32 1 cosTheta_i))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 1)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 1 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 -1 (/.f32 (neg.f32 v) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v))) 1/2)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 v v) 2))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 2 (+.f32 v v)))
(*.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 (+.f32 v v) 2)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 -1 (neg.f32 (/.f32 1 v))))
(neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 1 v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 -1 v)))
(/.f32 (+.f32 cosTheta_O cosTheta_O) (*.f32 (+.f32 v v) (/.f32 1 cosTheta_i)))
(/.f32 (+.f32 cosTheta_O cosTheta_O) (/.f32 (+.f32 v v) cosTheta_i))
(/.f32 (neg.f32 cosTheta_O) (/.f32 (neg.f32 v) cosTheta_i))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (neg.f32 cosTheta_O) (*.f32 -1 (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (neg.f32 cosTheta_O) (*.f32 (neg.f32 v) (/.f32 1 cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (neg.f32 (/.f32 cosTheta_O v)) (*.f32 -1 (/.f32 1 cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (neg.f32 (/.f32 cosTheta_O v)) (neg.f32 (/.f32 1 cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (neg.f32 cosTheta_i) (neg.f32 (/.f32 v cosTheta_O)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (neg.f32 cosTheta_i) (*.f32 -1 (/.f32 v cosTheta_O)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (neg.f32 cosTheta_i) (*.f32 (/.f32 1 cosTheta_O) (neg.f32 v)))
(/.f32 (neg.f32 cosTheta_i) (*.f32 (neg.f32 v) (/.f32 1 cosTheta_O)))
(/.f32 (*.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i)) -1)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1/2 cosTheta_O))
(.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 cosTheta_O 1/2))
(*.f32 (/.f32 1/2 v) (/.f32 cosTheta_i (/.f32 1/2 cosTheta_O)))
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 0 v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 0) v)
(/.f32 (+.f32 cosTheta_i cosTheta_i) (/.f32 (/.f32 v cosTheta_O) 1/2))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) (+.f32 v v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) (/.f32 1 (/.f32 1/2 v)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (/.f32 (neg.f32 cosTheta_i) (/.f32 v cosTheta_O)) -1)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) (/.f32 1 cosTheta_O))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O 1))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (.f32 -1 (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 0 v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 0) v)
(/.f32 (/.f32 (neg.f32 cosTheta_O) (/.f32 1 cosTheta_i)) (neg.f32 v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (/.f32 (neg.f32 cosTheta_O) (/.f32 v cosTheta_i)) -1)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (/.f32 (neg.f32 (/.f32 cosTheta_O v)) (/.f32 1 cosTheta_i)) -1)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i)) (neg.f32 v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 (+.f32 cosTheta_O cosTheta_O) cosTheta_i) (+.f32 v v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) -1)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 (neg.f32 (/.f32 cosTheta_O v)) cosTheta_i) -1)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (+.f32 v v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 2 (+.f32 v v)))
(*.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 (+.f32 v v) 2)))
(/.f32 (.f32 (neg.f32 (/.f32 1 v)) (.f32 cosTheta_i cosTheta_O)) -1)
(neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 1 v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 -1 v)))
(/.f32 (.f32 -1/2 (.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i))) (neg.f32 v))
(.f32 (.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) (/.f32 -1/2 (neg.f32 v)))
(.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (/.f32 -1/2 (neg.f32 v)))
(neg.f32 (*.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(neg.f32 (/.f32 (neg.f32 cosTheta_i) (/.f32 v cosTheta_O)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(neg.f32 (/.f32 (neg.f32 cosTheta_O) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(neg.f32 (/.f32 (neg.f32 (/.f32 cosTheta_O v)) (/.f32 1 cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(neg.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(neg.f32 (*.f32 (neg.f32 (/.f32 cosTheta_O v)) cosTheta_i))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(neg.f32 (.f32 (neg.f32 (/.f32 1 v)) (.f32 cosTheta_i cosTheta_O)))
(neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 1 v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 -1 v)))

eval956.0ms (2.8%)

Compiler: Compiled 62787 to 26445 computations (57.9% saved)

prune996.0ms (2.9%)

Pruning

47 alts after pruning (46 fresh and 1 done)

	Pruned	Kept	Total
New	2013	46	2059
Fresh	0	0	0
Picked	0	1	1
Done	2	0	2
Total	2015	47	2062

Error

0.0b

Counts

2062 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f32 (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (/.f32 1 cosTheta_i)) 2) (sinh.f32 (/.f32 1 v)))
	0.4b	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))) (/.f32 -1 (neg.f32 (/.f32 1 v)))) 2) (sinh.f32 (/.f32 1 v)))
	0.4b	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))) v) 2) (sinh.f32 (/.f32 1 v)))
	0.7b	(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) 2) (sinh.f32 (/.f32 1 v)))
	0.5b	(/.f32 (/.f32 (-.f32 (.f32 (/.f32 2 v) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)))) (.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i)))) 2) (sinh.f32 (/.f32 1 v)))
	0.4b	(/.f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1/2 cosTheta_O)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	11.3b	(/.f32 (/.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i))) 2) (sinh.f32 (/.f32 1 v)))
	0.7b	(/.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) 2) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	0.4b	(/.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 cosTheta_O (/.f32 2 v)) cosTheta_i) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	13.4b	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (/.f32 1 v))
✓	0.5b	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	0.4b	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	0.7b	(/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) 2) (sinh.f32 (/.f32 1 v)))
	2.4b	(/.f32 (/.f32 1 v) (/.f32 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (*.f32 cosTheta_i cosTheta_O)))
▶	2.4b	(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 cosTheta_i cosTheta_O))))
	0.7b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (.f32 3 (.f32 cosTheta_i cosTheta_O)) (.f32 (+.f32 cosTheta_i cosTheta_i) (+.f32 cosTheta_O cosTheta_O))) (neg.f32 v))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	0.5b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 1 v)) -2) (-.f32 (/.f32 3 v) (/.f32 4 v))))
	0.5b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (/.f32 1/2 (sinh.f32 (/.f32 1 v)))))
	0.5b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 (.f32 (/.f32 1 v) (/.f32 1 (sinh.f32 (/.f32 1 v))))))
	2.0b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 4 (/.f32 v (.f32 cosTheta_i cosTheta_O))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	2.1b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (+.f32 (/.f32 4 (/.f32 v (.f32 cosTheta_i cosTheta_O))) (/.f32 4 (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (+.f32 (/.f32 4 (/.f32 v (.f32 cosTheta_i cosTheta_O))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	1.5b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (/.f32 1 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	0.5b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (-.f32 (/.f32 3 v) (/.f32 4 v)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	0.9b	(-.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 1 v)))) 2)) (.f32 (.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 v (sinh.f32 (/.f32 1 v))))) 3/2))
	0.4b	(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v)) (.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 (/.f32 cosTheta_i 2) (sinh.f32 (/.f32 1 v)))))
	0.5b	(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v)) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 1 v)))))
	0.5b	(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))))
	0.4b	(.f32 (/.f32 1 (sinh.f32 (/.f32 1 v))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v))))
	0.4b	(.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i (/.f32 cosTheta_O v)))
	0.4b	(.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (/.f32 cosTheta_i (.f32 2 (sinh.f32 (/.f32 1 v)))))
	0.4b	(.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))
	0.4b	(.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))) (/.f32 1/2 (sinh.f32 (/.f32 1 v))))
▶	0.4b	(.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) (/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
	0.4b	(.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (/.f32 cosTheta_i (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))
	0.5b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v))) (/.f32 1 (/.f32 1/2 v))))
	13.4b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) 1/2) v))
▶	0.6b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))))
	0.7b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (-.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (+.f32 cosTheta_O cosTheta_O) (sinh.f32 (/.f32 1 v)))) (.f32 (/.f32 (/.f32 cosTheta_i v) v) (*.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 3/2))))
	13.4b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (*.f32 (/.f32 (/.f32 cosTheta_O 2) (/.f32 1 v)) (/.f32 (/.f32 cosTheta_i v) v)))
	0.4b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (-.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 2 v)) (/.f32 (/.f32 cosTheta_i v) v))))
	0.6b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (-.f32 (.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 2 v)) 2) (.f32 (/.f32 (/.f32 cosTheta_i v) v) 3))))
	13.8b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (+.f32 (.f32 v (*.f32 1/2 cosTheta_O)) (/.f32 cosTheta_O (/.f32 v -1/12))) (/.f32 (/.f32 cosTheta_i v) v)))
	0.5b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v)))
	13.4b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (.f32 v (*.f32 1/2 cosTheta_O)) (/.f32 (/.f32 cosTheta_i v) v)))
	13.4b	(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
	13.4b	(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
▶	13.4b	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))

Compiler

Compiled 2793 to 1937 computations (30.6% saved)

localize130.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)))
✓	0.3b	(*.f32 cosTheta_O (/.f32 2 v))
✓	0.4b	(/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))
	0.8b	(sinh.f32 (/.f32 1 v))

Compiler

Compiled 128 to 59 computations (53.9% saved)

series20.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	sinTheta_i	@	-inf	(/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)))
1.0ms	sinTheta_i	@	0	(/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))
1.0ms	sinTheta_O	@	0	(/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))
1.0ms	sinTheta_i	@	inf	(/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))
1.0ms	sinTheta_O	@	-inf	(/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)))

rewrite110.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`rational.json-1`
1522×	`rational.json-2`
1522×	`rational.json-4`
1522×	`rational.json-3`
800×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	117
1	147	111
2	606	111
3	4237	111

Stop Event

1×	node limit

Counts

3 → 307

Calls

Call 1

Inputs

(/.f32 (*.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))

(*.f32 cosTheta_O (/.f32 2 v))

(/.f32 1/2 (/.f32 (*.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) 1/2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (*.f32 0 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (*.f32 (sinh.f32 (/.f32 1 v)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (neg.f32 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) 1/2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (neg.f32 (*.f32 0 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (*.f32 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 1 v)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (-.f32 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) 1/2) 0)) (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) 1/2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (-.f32 (*.f32 0 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))) (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) 1/2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (-.f32 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) 1/2) 0)) (*.f32 0 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (-.f32 (*.f32 0 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))) (*.f32 0 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (/.f32 0 (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (/.f32 0 (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (*.f32 1 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) 1/2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (*.f32 1 (*.f32 0 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (*.f32 (*.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 0 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (*.f32 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (*.f32 (*.f32 2 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (*.f32 0 (*.f32 2 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (*.f32 (*.f32 1/2 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) 1/2) 0)) (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))) (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 1 v)) -2)) (*.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 4) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 4) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))) (*.f32 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 1 v)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))) (*.f32 (*.f32 1/2 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))) (*.f32 2 (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 0) (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) 1/2) 0))) (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (*.f32 0 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))) (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 1 v)) 0)) (*.f32 2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 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simplify167.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

858×	`rational.json-simplify-24`
818×	`rational.json-simplify-41`
626×	`rational.json-simplify-28`
618×	`rational.json-simplify-48`
518×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	678	19919
1	2231	18613

Stop Event

1×	node limit

Counts

403 → 415

Calls

Call 1

Inputs
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
2
(+.f32 2 (.f32 2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(+.f32 (.f32 2 (/.f32 (-.f32 1/6 (+.f32 (.f32 1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (.f32 -1 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))))) (pow.f32 v 2))) (+.f32 2 (.f32 2 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(+.f32 (.f32 -2 (/.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3))) (+.f32 (.f32 -1 (.f32 sinTheta_i (.f32 sinTheta_O (-.f32 1/6 (+.f32 (.f32 1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (.f32 -1 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)))))))) (.f32 1/2 (.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3))))) (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 (-.f32 1/6 (+.f32 (.f32 1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (.f32 -1 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))))) (pow.f32 v 2))) (+.f32 2 (.f32 2 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
2
(+.f32 2 (.f32 2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(+.f32 2 (+.f32 (.f32 2 (/.f32 (+.f32 (.f32 -1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (+.f32 1/6 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)))) (pow.f32 v 2))) (.f32 2 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(+.f32 (.f32 -2 (/.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3))) (+.f32 (.f32 -1 (.f32 sinTheta_i (.f32 (+.f32 (.f32 -1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (+.f32 1/6 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)))) sinTheta_O))) (.f32 1/2 (.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3))))) (pow.f32 v 3))) (+.f32 2 (+.f32 (.f32 2 (/.f32 (+.f32 (.f32 -1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (+.f32 1/6 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)))) (pow.f32 v 2))) (.f32 2 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(+.f32 (.f32 sinTheta_i (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) sinTheta_O)) (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(+.f32 (.f32 sinTheta_i (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) sinTheta_O)) (+.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (.f32 -2 (.f32 (pow.f32 sinTheta_i 2) (+.f32 (.f32 1/4 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 sinTheta_O 2)) v)) (.f32 -1/2 (/.f32 (*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 sinTheta_O 2)) v)))))))
(+.f32 (.f32 sinTheta_i (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) sinTheta_O)) (+.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (+.f32 (.f32 -2 (.f32 (pow.f32 sinTheta_i 3) (+.f32 (/.f32 (.f32 (+.f32 (.f32 1/4 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 sinTheta_O 2)) v)) (.f32 -1/2 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 sinTheta_O 2)) v))) sinTheta_O) v) (+.f32 (.f32 -1/12 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 sinTheta_O 3)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 sinTheta_O 3)) (pow.f32 v 2))))))) (.f32 -2 (.f32 (pow.f32 sinTheta_i 2) (+.f32 (.f32 1/4 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 sinTheta_O 2)) v)) (.f32 -1/2 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 sinTheta_O 2)) v))))))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(+.f32 (.f32 sinTheta_i (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) sinTheta_O)) (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(+.f32 (.f32 sinTheta_i (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) sinTheta_O)) (+.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (.f32 -2 (.f32 (pow.f32 sinTheta_O 2) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) v)) (.f32 1/4 (/.f32 (*.f32 (pow.f32 sinTheta_i 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) v)))))))
(+.f32 (.f32 -2 (.f32 (+.f32 (/.f32 (.f32 sinTheta_i (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) v)) (.f32 1/4 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) v)))) v) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (pow.f32 v 2))))) (pow.f32 sinTheta_O 3))) (+.f32 (.f32 sinTheta_i (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) sinTheta_O)) (+.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (.f32 -2 (.f32 (pow.f32 sinTheta_O 2) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) v)) (.f32 1/4 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) v))))))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
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(.f32 (/.f32 1 v) (.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 1/4 (sinh.f32 (/.f32 1 v)))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 1 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 4))))
(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (/.f32 1/4 (sinh.f32 (/.f32 1 v))))
(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (-.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (/.f32 1/4 (sinh.f32 (/.f32 1 v)))))
(.f32 1/2 (.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))))
(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 4))) 1)
(.f32 (.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (/.f32 1/2 v))
(.f32 -1 (.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
(.f32 -1 (/.f32 1/2 (.f32 (/.f32 v (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (.f32 (sinh.f32 (/.f32 1 v)) -2))))
(.f32 (.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) 1/2)
(.f32 (/.f32 1/2 v) (.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))))
(.f32 (.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) 2) (/.f32 (/.f32 1/2 v) (.f32 (sinh.f32 (/.f32 1 v)) 4)))
(.f32 (.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) 2) (/.f32 1/2 (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 4))))
(.f32 (.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 1/2) (/.f32 1/2 (sinh.f32 (/.f32 1 v))))
(.f32 (.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 1/4 (sinh.f32 (/.f32 1 v)))) (/.f32 1 v))
(.f32 -1/2 (neg.f32 (.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (/.f32 1/2 (sinh.f32 (/.f32 1 v))))))
(.f32 -1/2 (.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
(.f32 (.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))) -1)
(.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 1/2))
(.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 1/2 v) (/.f32 1 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))))
(.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (-.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 1/2)))
(.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (-.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (/.f32 (/.f32 1/2 v) (/.f32 1 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))
(.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))
(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (sinh.f32 (/.f32 1 v))) (/.f32 1/2 (+.f32 v v)))
(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (sinh.f32 (/.f32 1 v))) (-.f32 (/.f32 1/2 v) (/.f32 1/2 (+.f32 v v))))
(.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 2) (.f32 1/2 (/.f32 1/4 (sinh.f32 (/.f32 1 v)))))
(.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 2) (-.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (.f32 1/2 (/.f32 1/4 (sinh.f32 (/.f32 1 v))))))
(.f32 (.f32 1/2 (/.f32 1/4 (sinh.f32 (/.f32 1 v)))) (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 2))
(.f32 (.f32 1/2 (/.f32 1/4 (sinh.f32 (/.f32 1 v)))) (/.f32 (/.f32 1/2 v) (.f32 1/2 (/.f32 1/2 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))
(.f32 (+.f32 (neg.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (neg.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))) (/.f32 1/2 (neg.f32 (.f32 (sinh.f32 (/.f32 1 v)) 4))))
(.f32 (+.f32 (.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))) (.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)))) -1/2)
(.f32 (+.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (/.f32 1/4 (sinh.f32 (/.f32 1 v)))) (.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 1/2))
(.f32 (+.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (/.f32 1/2 (.f32 2 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))
(.f32 (+.f32 (.f32 1/2 (/.f32 1/4 (sinh.f32 (/.f32 1 v)))) (.f32 1/2 (/.f32 1/4 (sinh.f32 (/.f32 1 v))))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))
(neg.f32 (.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
(neg.f32 (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (neg.f32 (.f32 (sinh.f32 (/.f32 1 v)) 4))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 4))))
(neg.f32 (.f32 -1 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 4)))))

Outputs
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 v (exp.f32 (.f32 -1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (-.f32 (.f32 (exp.f32 (/.f32 1 v)) v) (/.f32 v (exp.f32 (/.f32 1 v)))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 v (exp.f32 (.f32 -1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (-.f32 (.f32 (exp.f32 (/.f32 1 v)) v) (/.f32 v (exp.f32 (/.f32 1 v)))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 v (exp.f32 (.f32 -1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (-.f32 (.f32 (exp.f32 (/.f32 1 v)) v) (/.f32 v (exp.f32 (/.f32 1 v)))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 v (exp.f32 (.f32 -1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (-.f32 (.f32 (exp.f32 (/.f32 1 v)) v) (/.f32 v (exp.f32 (/.f32 1 v)))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))))
2
(+.f32 2 (.f32 2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(+.f32 2 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2))
(+.f32 2 (.f32 sinTheta_O (.f32 2 (/.f32 sinTheta_i v))))
(+.f32 (.f32 2 (/.f32 (-.f32 1/6 (+.f32 (.f32 1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (.f32 -1 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))))) (pow.f32 v 2))) (+.f32 2 (.f32 2 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(+.f32 (+.f32 2 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2)) (.f32 2 (/.f32 (-.f32 1/6 (+.f32 (.f32 1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (.f32 -1 (*.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))))) (pow.f32 v 2))))
(+.f32 2 (.f32 2 (+.f32 (/.f32 (-.f32 1/6 (.f32 (pow.f32 sinTheta_O 2) (.f32 -1/2 (pow.f32 sinTheta_i 2)))) (pow.f32 v 2)) (.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 (.f32 -2 (/.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3))) (+.f32 (.f32 -1 (.f32 sinTheta_i (.f32 sinTheta_O (-.f32 1/6 (+.f32 (.f32 1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (.f32 -1 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)))))))) (.f32 1/2 (.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3))))) (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 (-.f32 1/6 (+.f32 (.f32 1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (.f32 -1 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))))) (pow.f32 v 2))) (+.f32 2 (.f32 2 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(+.f32 (+.f32 (+.f32 2 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2)) (.f32 2 (/.f32 (-.f32 1/6 (+.f32 (.f32 1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (.f32 -1 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))))) (pow.f32 v 2)))) (.f32 -2 (/.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3))) (+.f32 (.f32 -1 (.f32 sinTheta_i (.f32 sinTheta_O (-.f32 1/6 (+.f32 (.f32 1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (.f32 -1 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)))))))) (.f32 1/2 (*.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3))))) (pow.f32 v 3))))
(+.f32 2 (+.f32 (.f32 -2 (/.f32 (+.f32 (neg.f32 (.f32 (-.f32 1/6 (.f32 (pow.f32 sinTheta_O 2) (.f32 -1/2 (pow.f32 sinTheta_i 2)))) (.f32 sinTheta_i sinTheta_O))) (.f32 (.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3)) 1/3)) (pow.f32 v 3))) (.f32 2 (+.f32 (/.f32 (-.f32 1/6 (.f32 (pow.f32 sinTheta_O 2) (.f32 -1/2 (pow.f32 sinTheta_i 2)))) (pow.f32 v 2)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
2
(+.f32 2 (.f32 2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(+.f32 2 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2))
(+.f32 2 (.f32 sinTheta_O (.f32 2 (/.f32 sinTheta_i v))))
(+.f32 2 (+.f32 (.f32 2 (/.f32 (+.f32 (.f32 -1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (+.f32 1/6 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)))) (pow.f32 v 2))) (.f32 2 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(+.f32 2 (+.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2) (.f32 2 (/.f32 (+.f32 1/6 (+.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 -1/2 (pow.f32 sinTheta_O 2))) (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)))) (pow.f32 v 2)))))
(+.f32 2 (.f32 2 (+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (+.f32 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)) (+.f32 1/6 (.f32 (pow.f32 sinTheta_O 2) (*.f32 -1/2 (pow.f32 sinTheta_i 2))))) (pow.f32 v 2)))))
(+.f32 (.f32 -2 (/.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3))) (+.f32 (.f32 -1 (.f32 sinTheta_i (.f32 (+.f32 (.f32 -1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (+.f32 1/6 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)))) sinTheta_O))) (.f32 1/2 (.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3))))) (pow.f32 v 3))) (+.f32 2 (+.f32 (.f32 2 (/.f32 (+.f32 (.f32 -1/2 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (+.f32 1/6 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)))) (pow.f32 v 2))) (.f32 2 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(+.f32 2 (+.f32 (.f32 -2 (/.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3))) (+.f32 (.f32 1/2 (.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3))) (.f32 -1 (.f32 sinTheta_i (.f32 sinTheta_O (+.f32 1/6 (+.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 -1/2 (pow.f32 sinTheta_O 2))) (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))))))))) (pow.f32 v 3))) (+.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2) (.f32 2 (/.f32 (+.f32 1/6 (+.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 -1/2 (pow.f32 sinTheta_O 2))) (*.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)))) (pow.f32 v 2))))))
(+.f32 2 (+.f32 (.f32 2 (+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (+.f32 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)) (+.f32 1/6 (.f32 (pow.f32 sinTheta_O 2) (.f32 -1/2 (pow.f32 sinTheta_i 2))))) (pow.f32 v 2)))) (/.f32 -2 (/.f32 (pow.f32 v 3) (+.f32 (neg.f32 (.f32 sinTheta_i (.f32 sinTheta_O (+.f32 (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2)) (+.f32 1/6 (.f32 (pow.f32 sinTheta_O 2) (.f32 -1/2 (pow.f32 sinTheta_i 2)))))))) (.f32 (.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3)) 1/3))))))
(*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(-.f32 (*.f32 (exp.f32 (/.f32 1 v)) v) (/.f32 v (exp.f32 (/.f32 1 v))))
(+.f32 (.f32 sinTheta_i (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) sinTheta_O)) (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(+.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (*.f32 sinTheta_i sinTheta_O)))
(.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (+.f32 v (.f32 sinTheta_i sinTheta_O)))
(+.f32 (.f32 sinTheta_i (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) sinTheta_O)) (+.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (.f32 -2 (.f32 (pow.f32 sinTheta_i 2) (+.f32 (.f32 1/4 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 sinTheta_O 2)) v)) (.f32 -1/2 (/.f32 (*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 sinTheta_O 2)) v)))))))
(+.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (+.f32 (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (.f32 sinTheta_i sinTheta_O)) (.f32 (pow.f32 sinTheta_i 2) (.f32 -2 (+.f32 (.f32 1/4 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 sinTheta_O 2)) v)) (.f32 -1/2 (/.f32 (*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (pow.f32 sinTheta_O 2)) v)))))))
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(.f32 -1/2 (neg.f32 (.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (/.f32 1/2 (sinh.f32 (/.f32 1 v))))))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 -1/2 (.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))) -1)
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 1/2))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 1/2 v) (/.f32 1 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (-.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 1/2)))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (-.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (/.f32 (/.f32 1/2 v) (/.f32 1 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (sinh.f32 (/.f32 1 v))) (/.f32 1/2 (+.f32 v v)))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (sinh.f32 (/.f32 1 v))) (-.f32 (/.f32 1/2 v) (/.f32 1/2 (+.f32 v v))))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 2) (.f32 1/2 (/.f32 1/4 (sinh.f32 (/.f32 1 v)))))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 2) (-.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (.f32 1/2 (/.f32 1/4 (sinh.f32 (/.f32 1 v))))))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (.f32 1/2 (/.f32 1/4 (sinh.f32 (/.f32 1 v)))) (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 2))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (.f32 1/2 (/.f32 1/4 (sinh.f32 (/.f32 1 v)))) (/.f32 (/.f32 1/2 v) (.f32 1/2 (/.f32 1/2 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))
(.f32 (/.f32 1/8 (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 1/2 v) (/.f32 1/4 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))))
(.f32 (/.f32 1/8 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v 2)))
(.f32 (+.f32 (neg.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (neg.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))) (/.f32 1/2 (neg.f32 (.f32 (sinh.f32 (/.f32 1 v)) 4))))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (+.f32 (.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))) (.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)))) -1/2)
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (+.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (/.f32 1/4 (sinh.f32 (/.f32 1 v)))) (.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) 1/2))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (+.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (/.f32 1/2 (.f32 2 (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(.f32 (+.f32 (.f32 1/2 (/.f32 1/4 (sinh.f32 (/.f32 1 v)))) (.f32 1/2 (/.f32 1/4 (sinh.f32 (/.f32 1 v))))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(neg.f32 (.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(neg.f32 (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (neg.f32 (.f32 (sinh.f32 (/.f32 1 v)) 4))))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 4))))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))
(neg.f32 (.f32 -1 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 4)))))
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 4 (sinh.f32 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 1/4 v) (sinh.f32 (/.f32 1 v))))

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
	0.2b	(*.f32 cosTheta_i (/.f32 cosTheta_O v))

Compiler

Compiled 24 to 10 computations (58.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
0.0ms	cosTheta_i	@	inf	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
0.0ms	cosTheta_i	@	0	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
0.0ms	v	@	-inf	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
0.0ms	cosTheta_O	@	-inf	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))

rewrite55.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`rational.json-simplify-28`
1070×	`rational.json-simplify-21`
940×	`rational.json-simplify-29`
912×	`rational.json-simplify-6`
870×	`rational.json-simplify-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	58	19
2	236	19
3	1427	19

Stop Event

1×	node limit

Counts

1 → 226

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 (/.f32 cosTheta_O v) 0) (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (*.f32 1/2 (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 1/2 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 1 (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (*.f32 1/2 cosTheta_i) (/.f32 cosTheta_O (neg.f32 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (*.f32 cosTheta_i 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (*.f32 (/.f32 cosTheta_O v) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (/.f32 0 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (neg.f32 (*.f32 cosTheta_i 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (-.f32 (*.f32 (/.f32 cosTheta_O v) 0) (*.f32 cosTheta_i 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (*.f32 1/2 (*.f32 cosTheta_i 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (*.f32 1/2 (*.f32 (/.f32 cosTheta_O v) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (*.f32 1/2 (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (+.f32 0 (/.f32 0 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (+.f32 (*.f32 (/.f32 cosTheta_O v) 0) (*.f32 cosTheta_i 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (+.f32 (*.f32 (/.f32 cosTheta_O v) 0) (/.f32 0 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (+.f32 0 (*.f32 1/2 (*.f32 cosTheta_i 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (+.f32 0 (*.f32 1/2 (*.f32 (/.f32 cosTheta_O v) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (+.f32 (*.f32 (/.f32 cosTheta_O v) 0) (*.f32 1/2 (*.f32 cosTheta_i 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (+.f32 (*.f32 (/.f32 cosTheta_O v) 0) (*.f32 1/2 (*.f32 (/.f32 cosTheta_O v) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (-.f32 0 (*.f32 1/2 (*.f32 cosTheta_i 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (-.f32 0 (*.f32 1/2 (*.f32 (/.f32 cosTheta_O v) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (-.f32 (*.f32 (/.f32 cosTheta_O v) 0) (*.f32 1/2 (*.f32 cosTheta_i 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))) (-.f32 (*.f32 (/.f32 cosTheta_O v) 0) (*.f32 1/2 (*.f32 (/.f32 cosTheta_O v) 0))))))) (#(struct:change 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simplify87.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

700×	`rational.json-simplify-43`
694×	`rational.json-simplify-3`
648×	`rational.json-simplify-12`
608×	`rational.json-simplify-50`
536×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	498	5874
1	1993	5496

Stop Event

1×	node limit

Counts

262 → 249

Calls

Call 1

Inputs
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 (/.f32 cosTheta_O v) 0) (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (*.f32 1/2 (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i)))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 1/2 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O)))))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 1 (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (*.f32 1/2 cosTheta_i) (/.f32 cosTheta_O (neg.f32 v))))
(+.f32 (.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v))) 0)
(+.f32 (.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v))) (*.f32 cosTheta_i 0))
(+.f32 (.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v))) (*.f32 (/.f32 cosTheta_O v) 0))
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(/.f32 (*.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) 1/2) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) 1/2) (neg.f32 v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (.f32 (neg.f32 cosTheta_i) (.f32 1/2 (/.f32 cosTheta_O v))) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (neg.f32 (*.f32 1/2 cosTheta_i)) (/.f32 v (neg.f32 cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (neg.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 0 (*.f32 1/2 cosTheta_i)) (/.f32 v (neg.f32 cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 1/2 cosTheta_i) cosTheta_i) (/.f32 v (neg.f32 cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_i 0) (.f32 cosTheta_i (/.f32 1/2 v))) (neg.f32 (/.f32 1 cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 0 (*.f32 cosTheta_i (/.f32 1/2 v))) (neg.f32 (/.f32 1 cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 0 (*.f32 1/2 cosTheta_O)) (neg.f32 (/.f32 v cosTheta_i)))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 0 (.f32 1/2 (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 1/2) (/.f32 (+.f32 v v) 1/2))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (*.f32 1/2 cosTheta_O) 1/2) (/.f32 (+.f32 v v) cosTheta_i))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) 1/2) (/.f32 (+.f32 v v) cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 1/2 (/.f32 1 cosTheta_O)) (/.f32 v cosTheta_i))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 1/2 (+.f32 (/.f32 v cosTheta_O) (/.f32 v cosTheta_O))) (/.f32 1/2 cosTheta_i))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) 1/2) (+.f32 v v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) (/.f32 1 cosTheta_O)) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) (/.f32 1/2 cosTheta_O)) (+.f32 v v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) 2) (/.f32 1/2 (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) (-.f32 (neg.f32 v) v)) (/.f32 1/2 (neg.f32 cosTheta_O)))
(.f32 (.f32 cosTheta_i (/.f32 1/2 (-.f32 (neg.f32 v) v))) (/.f32 (neg.f32 cosTheta_O) 1/2))
(/.f32 (neg.f32 cosTheta_O) (/.f32 (-.f32 (neg.f32 v) v) cosTheta_i))
(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) (+.f32 (/.f32 v cosTheta_O) (/.f32 v cosTheta_O))) 1/2)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) (-.f32 (neg.f32 v) v)) -1/2)
(/.f32 (.f32 cosTheta_i (.f32 1/2 cosTheta_O)) (*.f32 (-.f32 (neg.f32 v) v) -1/2))
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (-.f32 (neg.f32 v) v))
(/.f32 (/.f32 (*.f32 1/2 (neg.f32 cosTheta_i)) (/.f32 v cosTheta_O)) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) 1/2) v) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) 1/2) (+.f32 v v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) -1) (neg.f32 v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v)) 1/2)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (-.f32 (neg.f32 v) v)) -1/2)
(/.f32 (.f32 cosTheta_i (.f32 1/2 cosTheta_O)) (*.f32 (-.f32 (neg.f32 v) v) -1/2))
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (-.f32 (neg.f32 v) v))
(/.f32 (/.f32 (neg.f32 (*.f32 1/2 cosTheta_i)) (/.f32 v cosTheta_O)) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (neg.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O))) v) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (neg.f32 cosTheta_i) (*.f32 1/2 (neg.f32 cosTheta_i))) (/.f32 v (neg.f32 cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 cosTheta_O (*.f32 1/2 cosTheta_O)) (/.f32 v cosTheta_i))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v))) (/.f32 (.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v))) 2)) 1/2)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O))) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 1/2 cosTheta_O) cosTheta_i)) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (neg.f32 cosTheta_i) (neg.f32 (*.f32 1/2 cosTheta_i))) (/.f32 v (neg.f32 cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) (*.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) 1/2)) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) (.f32 (neg.f32 cosTheta_i) (.f32 1/2 (/.f32 cosTheta_O v)))) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) 1/2)) (neg.f32 v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 1/2 (*.f32 cosTheta_i cosTheta_O)))) (neg.f32 v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) 1/2)) (neg.f32 v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 (.f32 1/2 (*.f32 cosTheta_i cosTheta_O)))) (neg.f32 v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) 1/2)) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (.f32 (neg.f32 cosTheta_i) (*.f32 1/2 (/.f32 cosTheta_O v)))) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 (/.f32 cosTheta_O (neg.f32 v)) cosTheta_i) (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_O (neg.f32 v)) cosTheta_i) (.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) 1/2)) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_O (neg.f32 v)) cosTheta_i) (.f32 (neg.f32 cosTheta_i) (*.f32 1/2 (/.f32 cosTheta_O v)))) -1)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 (.f32 1/2 cosTheta_O) (+.f32 cosTheta_i cosTheta_i)) (.f32 1/2 (.f32 cosTheta_i cosTheta_O))) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 (.f32 1/2 cosTheta_O) (+.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 1/2 cosTheta_O) cosTheta_i)) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 -1/2 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O))) (.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) 1/2)) (neg.f32 v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (.f32 -1/2 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O))) (neg.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)))) (neg.f32 v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(neg.f32 (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(neg.f32 (*.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) 1/2))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(neg.f32 (.f32 (neg.f32 cosTheta_i) (.f32 1/2 (/.f32 cosTheta_O v))))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i v)))

localize112.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 cosTheta_i (.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O))))
✓	0.4b	(*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O))
✓	0.6b	(.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))
	0.8b	(sinh.f32 (/.f32 1 v))

Compiler

Compiled 99 to 49 computations (50.5% saved)

series6.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))
1.0ms	cosTheta_O	@	0	(.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))
1.0ms	cosTheta_O	@	0	(*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O))
0.0ms	v	@	inf	(.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))
0.0ms	cosTheta_O	@	-inf	(.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))

rewrite81.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`rational.json-1`
1438×	`rational.json-2`
1438×	`rational.json-4`
1438×	`rational.json-3`
1326×	`rational.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	99
1	98	99
2	412	99
3	3199	99

Stop Event

1×	node limit

Counts

3 → 296

Calls

Call 1

Inputs

(*.f32 (*.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))

(*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O))

(/.f32 cosTheta_i (*.f32 (*.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (*.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (*.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))) (*.f32 (sinh.f32 (/.f32 1 v)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (*.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))) (*.f32 v (-.f32 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (*.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 0 cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (*.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))) (*.f32 (*.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 0 cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (*.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))) (neg.f32 (*.f32 v (-.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v 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(#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 cosTheta_O cosTheta_O) (/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 (/.f32 cosTheta_i (*.f32 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 (+.f32 cosTheta_O cosTheta_O) (*.f32 (sinh.f32 (/.f32 1 v)) (*.f32 v (/.f32 v cosTheta_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (*.f32 v (/.f32 v cosTheta_i))) (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 4) (*.f32 v v))) (neg.f32 (+.f32 cosTheta_i cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (+.f32 cosTheta_i cosTheta_i)) (neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 4) (*.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 cosTheta_i cosTheta_i) 2) (/.f32 1/2 (*.f32 (*.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 4 cosTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 cosTheta_i cosTheta_i) 2) (-.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 4) (*.f32 v v)) (/.f32 1/2 (*.f32 (*.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 4 cosTheta_O))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (*.f32 cosTheta_O 1/2) (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)) 2) (/.f32 1/2 (*.f32 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (neg.f32 cosTheta_i) (neg.f32 cosTheta_i)) (/.f32 1/2 (*.f32 (*.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O))) (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) 2) (/.f32 1/2 (*.f32 v (/.f32 v (*.f32 cosTheta_O 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) v))) 2) (/.f32 1/2 (/.f32 2 cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (*.f32 cosTheta_O 1/2) (*.f32 v (/.f32 v cosTheta_i))) 2) (/.f32 1/2 (sinh.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (neg.f32 (/.f32 cosTheta_i (*.f32 v v))) (neg.f32 (/.f32 cosTheta_i (*.f32 v v)))) (/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O))))))))

simplify179.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1116×	`rational.json-simplify-28`
974×	`rational.json-simplify-13`
870×	`rational.json-simplify-24`
776×	`rational.json-simplify-41`
648×	`rational.json-simplify-27`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	639	18764
1	2280	17738

Stop Event

1×	node limit

Counts

380 → 465

Calls

Call 1

Inputs
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 2 (/.f32 v cosTheta_O))
(+.f32 (.f32 1/3 (/.f32 1 (.f32 v cosTheta_O))) (*.f32 2 (/.f32 v cosTheta_O)))
(+.f32 (.f32 2 (/.f32 v cosTheta_O)) (+.f32 (.f32 1/3 (/.f32 1 (.f32 v cosTheta_O))) (.f32 1/60 (/.f32 1 (*.f32 (pow.f32 v 3) cosTheta_O)))))
(+.f32 (.f32 2 (/.f32 v cosTheta_O)) (+.f32 (.f32 1/3 (/.f32 1 (.f32 v cosTheta_O))) (+.f32 (.f32 1/60 (/.f32 1 (.f32 (pow.f32 v 3) cosTheta_O))) (.f32 1/2520 (/.f32 1 (*.f32 (pow.f32 v 5) cosTheta_O))))))
(*.f32 2 (/.f32 v cosTheta_O))
(+.f32 (.f32 1/3 (/.f32 1 (.f32 v cosTheta_O))) (*.f32 2 (/.f32 v cosTheta_O)))
(+.f32 (.f32 2 (/.f32 v cosTheta_O)) (+.f32 (.f32 1/3 (/.f32 1 (.f32 v cosTheta_O))) (.f32 1/60 (/.f32 1 (*.f32 (pow.f32 v 3) cosTheta_O)))))
(+.f32 (.f32 2 (/.f32 v cosTheta_O)) (+.f32 (.f32 1/3 (/.f32 1 (.f32 v cosTheta_O))) (+.f32 (.f32 1/60 (/.f32 1 (.f32 (pow.f32 v 3) cosTheta_O))) (.f32 1/2520 (/.f32 1 (*.f32 (pow.f32 v 5) cosTheta_O))))))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 2 (*.f32 v cosTheta_O))
(+.f32 (.f32 2 (/.f32 1 (.f32 v cosTheta_O))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 v 3) cosTheta_O))))
(+.f32 (.f32 2 (/.f32 1 (.f32 v cosTheta_O))) (+.f32 (.f32 1/60 (/.f32 1 (.f32 (pow.f32 v 5) cosTheta_O))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 v 3) cosTheta_O)))))
(+.f32 (.f32 1/2520 (/.f32 1 (.f32 (pow.f32 v 7) cosTheta_O))) (+.f32 (.f32 2 (/.f32 1 (.f32 v cosTheta_O))) (+.f32 (.f32 1/60 (/.f32 1 (.f32 (pow.f32 v 5) cosTheta_O))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 v 3) cosTheta_O))))))
(/.f32 2 (*.f32 v cosTheta_O))
(+.f32 (.f32 2 (/.f32 1 (.f32 v cosTheta_O))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 v 3) cosTheta_O))))
(+.f32 (.f32 2 (/.f32 1 (.f32 v cosTheta_O))) (+.f32 (.f32 1/60 (/.f32 1 (.f32 (pow.f32 v 5) cosTheta_O))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 v 3) cosTheta_O)))))
(+.f32 (.f32 1/2520 (/.f32 1 (.f32 (pow.f32 v 7) cosTheta_O))) (+.f32 (.f32 2 (/.f32 1 (.f32 v cosTheta_O))) (+.f32 (.f32 1/60 (/.f32 1 (.f32 (pow.f32 v 5) cosTheta_O))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 v 3) cosTheta_O))))))
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1/12 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 3))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (.f32 -1/12 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -1/36 (.f32 cosTheta_i cosTheta_O)) (.f32 1/120 (*.f32 cosTheta_i cosTheta_O))) (pow.f32 v 5)))))
(+.f32 (.f32 -1/12 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 3))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/5040 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 -1/6 (+.f32 (.f32 1/120 (.f32 cosTheta_i cosTheta_O)) (.f32 -1/36 (.f32 cosTheta_i cosTheta_O)))) (.f32 -1/720 (.f32 cosTheta_i cosTheta_O)))) (pow.f32 v 7))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -1/36 (.f32 cosTheta_i cosTheta_O)) (.f32 1/120 (*.f32 cosTheta_i cosTheta_O))) (pow.f32 v 5))))))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1/12 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 3))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (.f32 -1/12 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1/120 (.f32 cosTheta_i cosTheta_O)) (.f32 1/36 (.f32 cosTheta_i cosTheta_O))) (pow.f32 v 5))) (.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(+.f32 (.f32 -1/12 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 1/720 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 -1/6 (+.f32 (.f32 -1/120 (.f32 cosTheta_i cosTheta_O)) (.f32 1/36 (.f32 cosTheta_i cosTheta_O)))) (.f32 -1/5040 (.f32 cosTheta_i cosTheta_O)))) (pow.f32 v 7))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1/120 (.f32 cosTheta_i cosTheta_O)) (.f32 1/36 (.f32 cosTheta_i cosTheta_O))) (pow.f32 v 5))) (.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(+.f32 (.f32 v (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))) 0)
(+.f32 (.f32 v (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))) (.f32 (sinh.f32 (/.f32 1 v)) 0))
(+.f32 (.f32 v (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))) (.f32 v (-.f32 v v)))
(+.f32 (.f32 v (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 0 cosTheta_O)))
(+.f32 (.f32 v (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))) (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 0 cosTheta_O))))
(+.f32 (.f32 v (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))) (neg.f32 (.f32 v (-.f32 v v))))
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(.f32 (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 1 v)) 2))) cosTheta_i)
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 cosTheta_i (*.f32 v v)))
(.f32 (/.f32 1 (.f32 v v)) (/.f32 (*.f32 cosTheta_O 1/2) (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) (/.f32 (.f32 cosTheta_O 1/2) (*.f32 v v)))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_O (.f32 v (+.f32 v v))))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) (/.f32 1 (.f32 v (/.f32 v (*.f32 cosTheta_O 1/2)))))
(.f32 (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) v))) (.f32 cosTheta_O 1/2))
(.f32 (/.f32 (.f32 cosTheta_O 1/2) (*.f32 v (/.f32 v cosTheta_i))) (/.f32 1 (sinh.f32 (/.f32 1 v))))
(.f32 (/.f32 1/2 (.f32 v v)) (/.f32 (+.f32 cosTheta_i cosTheta_i) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O))))
(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 4) (/.f32 2 (.f32 v (/.f32 v cosTheta_i))))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) v))) cosTheta_O) 1/2)
(.f32 (+.f32 cosTheta_O cosTheta_O) (/.f32 1/2 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 (/.f32 cosTheta_i (*.f32 v v))))))
(.f32 1/4 (/.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 (sinh.f32 (/.f32 1 v)) (*.f32 v (/.f32 v cosTheta_i)))))
(.f32 (/.f32 2 (.f32 v (/.f32 v cosTheta_i))) (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 4))
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(.f32 (neg.f32 (+.f32 cosTheta_i cosTheta_i)) (neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 4) (.f32 v v))))
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(.f32 (.f32 (+.f32 cosTheta_i cosTheta_i) 2) (-.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 4) (.f32 v v)) (/.f32 1/2 (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 4 cosTheta_O))))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_O 1/2) (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)) 2) (/.f32 1/2 (.f32 v v)))
(.f32 (+.f32 (neg.f32 cosTheta_i) (neg.f32 cosTheta_i)) (/.f32 1/2 (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O)))))
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(.f32 (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) 2) (/.f32 1/2 (.f32 v (/.f32 v (.f32 cosTheta_O 1/2)))))
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(.f32 (.f32 (/.f32 (.f32 cosTheta_O 1/2) (.f32 v (/.f32 v cosTheta_i))) 2) (/.f32 1/2 (sinh.f32 (/.f32 1 v))))
(.f32 (+.f32 (neg.f32 (/.f32 cosTheta_i (.f32 v v))) (neg.f32 (/.f32 cosTheta_i (.f32 v v)))) (/.f32 1/2 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O))))
(neg.f32 (/.f32 (/.f32 cosTheta_i (.f32 v v)) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O))))

Outputs
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(*.f32 2 (/.f32 v cosTheta_O))
(*.f32 v (/.f32 2 cosTheta_O))
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(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 2 (*.f32 v cosTheta_O))
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(/.f32 2 (*.f32 v cosTheta_O))
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(+.f32 (/.f32 2 (.f32 v cosTheta_O)) (+.f32 (/.f32 1/2520 (.f32 cosTheta_O (pow.f32 v 7))) (+.f32 (/.f32 1/3 (.f32 cosTheta_O (pow.f32 v 3))) (/.f32 1/60 (.f32 cosTheta_O (pow.f32 v 5))))))
(+.f32 (/.f32 2 (.f32 v cosTheta_O)) (+.f32 (/.f32 1/3 (.f32 cosTheta_O (pow.f32 v 3))) (+.f32 (/.f32 1/2520 (.f32 cosTheta_O (pow.f32 v 7))) (/.f32 1/60 (.f32 cosTheta_O (pow.f32 v 5))))))
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) cosTheta_O)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 v 2)) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
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(/.f32 (.f32 (+.f32 cosTheta_O cosTheta_O) 1/4) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i))))
(.f32 (/.f32 2 (.f32 v (/.f32 v cosTheta_i))) (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 4))
(.f32 (.f32 1/2 (/.f32 cosTheta_O (*.f32 v v))) (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))))
(.f32 cosTheta_O (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (.f32 2 (sinh.f32 (/.f32 1 v)))))
(.f32 (neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 4) (.f32 v v))) (neg.f32 (+.f32 cosTheta_i cosTheta_i)))
(.f32 (neg.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (.f32 4 (*.f32 v v)))) (neg.f32 (+.f32 cosTheta_i cosTheta_i)))
(.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (.f32 v v)) (sinh.f32 (/.f32 1 v))) -4) (neg.f32 (+.f32 cosTheta_i cosTheta_i)))
(.f32 (neg.f32 (+.f32 cosTheta_i cosTheta_i)) (neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 4) (.f32 v v))))
(.f32 (neg.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (.f32 4 (*.f32 v v)))) (neg.f32 (+.f32 cosTheta_i cosTheta_i)))
(.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (.f32 v v)) (sinh.f32 (/.f32 1 v))) -4) (neg.f32 (+.f32 cosTheta_i cosTheta_i)))
(.f32 (.f32 (+.f32 cosTheta_i cosTheta_i) 2) (/.f32 1/2 (.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 4 cosTheta_O)))))
(.f32 (.f32 2 (+.f32 cosTheta_i cosTheta_i)) (/.f32 1/2 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 (*.f32 v v) (/.f32 4 cosTheta_O)))))
(/.f32 (.f32 (+.f32 cosTheta_i cosTheta_i) 1) (.f32 (sinh.f32 (/.f32 1 v)) (.f32 (.f32 v v) (/.f32 4 cosTheta_O))))
(.f32 (.f32 (+.f32 cosTheta_i cosTheta_i) 2) (-.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 4) (.f32 v v)) (/.f32 1/2 (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 4 cosTheta_O))))))
(.f32 (.f32 2 (+.f32 cosTheta_i cosTheta_i)) (-.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) (.f32 4 (.f32 v v))) (/.f32 1/2 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 (*.f32 v v) (/.f32 4 cosTheta_O))))))
(.f32 (+.f32 cosTheta_i cosTheta_i) (.f32 (-.f32 (/.f32 (/.f32 (/.f32 cosTheta_O 4) (.f32 v v)) (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 1/2 (*.f32 v v)) (/.f32 1/4 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_O)))) 2))
(.f32 (.f32 (/.f32 (.f32 cosTheta_O 1/2) (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)) 2) (/.f32 1/2 (.f32 v v)))
(.f32 (/.f32 1/2 (.f32 v v)) (.f32 2 (.f32 (*.f32 cosTheta_O 1/2) (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))))))
(/.f32 (.f32 (.f32 1/2 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_O))) 1) (*.f32 v v))
(.f32 (+.f32 (neg.f32 cosTheta_i) (neg.f32 cosTheta_i)) (/.f32 1/2 (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O)))))
(.f32 (.f32 1/2 (/.f32 cosTheta_O (*.f32 v v))) (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))))
(.f32 cosTheta_O (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (.f32 2 (sinh.f32 (/.f32 1 v)))))
(.f32 (+.f32 (/.f32 (/.f32 cosTheta_i (.f32 v v)) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O))) (/.f32 (/.f32 cosTheta_i (.f32 v v)) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O)))) -1/2)
(.f32 -1/2 (/.f32 (+.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 cosTheta_i (.f32 v v))) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O))))
(.f32 -1/2 (/.f32 (+.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (/.f32 cosTheta_i v) v)) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O))))
(.f32 (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) 2) (/.f32 1/2 (.f32 v (/.f32 v (.f32 cosTheta_O 1/2)))))
(.f32 (.f32 2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) (/.f32 1/2 (.f32 v (/.f32 v (.f32 cosTheta_O 1/2)))))
(.f32 (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) 1) (/.f32 cosTheta_O (/.f32 (*.f32 v v) 1/2)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) v))) 2) (/.f32 1/2 (/.f32 2 cosTheta_O)))
(.f32 (.f32 2 (/.f32 cosTheta_i (.f32 v (.f32 v (sinh.f32 (/.f32 1 v)))))) (/.f32 cosTheta_O 4))
(.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 cosTheta_O 4) 2))
(.f32 (.f32 (/.f32 (.f32 cosTheta_O 1/2) (.f32 v (/.f32 v cosTheta_i))) 2) (/.f32 1/2 (sinh.f32 (/.f32 1 v))))
(.f32 (.f32 2 (.f32 1/2 (/.f32 cosTheta_O (/.f32 (.f32 v v) cosTheta_i)))) (/.f32 1/2 (sinh.f32 (/.f32 1 v))))
(/.f32 (.f32 (.f32 1/2 (/.f32 cosTheta_O (/.f32 v (/.f32 cosTheta_i v)))) 1) (sinh.f32 (/.f32 1 v)))
(.f32 (+.f32 (neg.f32 (/.f32 cosTheta_i (.f32 v v))) (neg.f32 (/.f32 cosTheta_i (.f32 v v)))) (/.f32 1/2 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O))))
(.f32 (.f32 1/2 (/.f32 cosTheta_O (*.f32 v v))) (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))))
(.f32 cosTheta_O (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (.f32 2 (sinh.f32 (/.f32 1 v)))))
(neg.f32 (/.f32 (/.f32 cosTheta_i (.f32 v v)) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -2 cosTheta_O))))
(.f32 (.f32 1/2 (/.f32 cosTheta_O (*.f32 v v))) (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))))
(.f32 cosTheta_O (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (.f32 2 (sinh.f32 (/.f32 1 v)))))

localize157.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 cosTheta_i cosTheta_O)))
✓	0.3b	(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (*.f32 cosTheta_i cosTheta_O))
	0.8b	(sinh.f32 (/.f32 1 v))
✓	2.2b	(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 cosTheta_i cosTheta_O))))

Compiler

Compiled 112 to 39 computations (65.2% saved)

series49.0ms (0.1%)

Counts

3 → 180

Calls

45 calls:

Time	Variable		Point	Expression
15.0ms	sinTheta_O	@	0	(/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 cosTheta_i cosTheta_O)))
7.0ms	v	@	-inf	(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (*.f32 cosTheta_i cosTheta_O))
3.0ms	sinTheta_i	@	0	(/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 cosTheta_i cosTheta_O)))
1.0ms	sinTheta_O	@	inf	(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 cosTheta_i cosTheta_O))))
1.0ms	cosTheta_O	@	0	(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 cosTheta_i cosTheta_O))))

rewrite154.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1158×	`rational.json-simplify-44`
898×	`rational.json-simplify-13`
888×	`rational.json-simplify-35`
744×	`rational.json-simplify-1`
686×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	173
1	147	167
2	675	167
3	6277	167

Stop Event

1×	node limit

Counts

3 → 386

Calls

Call 1

Inputs

(/.f32 (/.f32 1 v) (/.f32 (*.f32 2 (sinh.f32 (/.f32 1 v))) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (*.f32 cosTheta_i cosTheta_O))))

(*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (*.f32 cosTheta_i cosTheta_O))

(/.f32 (*.f32 2 (sinh.f32 (/.f32 1 v))) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (*.f32 cosTheta_i cosTheta_O)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (/.f32 0 v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (/.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (/.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (*.f32 (/.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (sinh.f32 (/.f32 1 v))) v) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (*.f32 (/.f32 1/2 v) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (neg.f32 (/.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (neg.f32 (/.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (-.f32 (/.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O))) (/.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (-.f32 (/.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) v) (/.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (-.f32 (/.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O))) (/.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (-.f32 (/.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) v) (/.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (/.f32 0 (*.f32 (*.f32 2 (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (*.f32 v (sinh.f32 (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (/.f32 (-.f32 cosTheta_i cosTheta_i) (*.f32 (*.f32 2 (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (*.f32 v (sinh.f32 (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (/.f32 (-.f32 cosTheta_O cosTheta_O) (*.f32 (*.f32 2 (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (*.f32 v (sinh.f32 (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (/.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) 0) (*.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (/.f32 (*.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O)) (*.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))) (/.f32 0 (*.f32 (sinh.f32 (/.f32 1 v)) (*.f32 (/.f32 (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 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simplify338.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1484×	`rational.json-simplify-41`
1104×	`rational.json-simplify-13`
772×	`rational.json-simplify-15`
746×	`rational.json-simplify-14`
632×	`rational.json-simplify-27`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	892	46530
1	3074	45340

Stop Event

1×	node limit

Counts

566 → 710

Calls

Call 1

Inputs
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O))) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (-.f32 (.f32 1/2 (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) cosTheta_O)))) (.f32 1/6 (*.f32 cosTheta_i cosTheta_O))) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O))) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 sinTheta_i 3) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 3) cosTheta_O)))) (.f32 -1/6 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O))))) (pow.f32 v 4))) (.f32 1/2 (/.f32 (-.f32 (.f32 1/2 (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) cosTheta_O)))) (.f32 1/6 (.f32 cosTheta_i cosTheta_O))) (pow.f32 v 3))))))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O))) (pow.f32 v 2))))
(+.f32 (.f32 -1/2 (/.f32 (-.f32 (.f32 -1/2 (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) cosTheta_O)))) (.f32 -1/6 (.f32 cosTheta_i cosTheta_O))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (*.f32 sinTheta_O cosTheta_O))) (pow.f32 v 2)))))
(+.f32 (.f32 -1/2 (/.f32 (-.f32 (.f32 -1/2 (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) cosTheta_O)))) (.f32 -1/6 (.f32 cosTheta_i cosTheta_O))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 sinTheta_i 3) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 3) cosTheta_O)))) (.f32 -1/6 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O))))) (pow.f32 v 4))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O))) (.f32 (pow.f32 v 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) cosTheta_O))) (.f32 (pow.f32 v 4) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O))) (.f32 (pow.f32 v 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) cosTheta_O))) (.f32 (pow.f32 v 4) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 3) cosTheta_O))) (.f32 (pow.f32 v 5) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O))) (.f32 (pow.f32 v 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))))))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O))) (.f32 (pow.f32 v 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) cosTheta_O))) (.f32 (pow.f32 v 4) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O))) (.f32 (pow.f32 v 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) cosTheta_O))) (.f32 (pow.f32 v 4) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 3) cosTheta_O))) (.f32 (pow.f32 v 5) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O cosTheta_O))) (.f32 (pow.f32 v 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))))))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
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(.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (-.f32 (.f32 2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O))) (/.f32 1/2 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) 2)))))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O)))) 1)
(.f32 -1 (.f32 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 1 v)) -2)))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 2 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))))) (/.f32 1 (*.f32 cosTheta_i cosTheta_O)))
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(.f32 (.f32 1/2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O))) (*.f32 (sinh.f32 (/.f32 1 v)) 4))
(.f32 (.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 (sinh.f32 (/.f32 1 v)) 4)) (/.f32 1/2 (*.f32 cosTheta_i cosTheta_O)))
(.f32 (.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 (sinh.f32 (/.f32 1 v)) 4)) (-.f32 (/.f32 1 (.f32 cosTheta_i cosTheta_O)) (/.f32 1/2 (.f32 cosTheta_i cosTheta_O))))
(.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 (.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 (.f32 cosTheta_i cosTheta_O))) (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))))
(.f32 (.f32 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 1 v)) -2)) -1)
(.f32 (neg.f32 (sinh.f32 (/.f32 1 v))) (neg.f32 (.f32 2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)))))
(.f32 (neg.f32 (sinh.f32 (/.f32 1 v))) (/.f32 -2 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
(.f32 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 2 (sinh.f32 (/.f32 1 v))))
(.f32 (/.f32 1 (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 1 v)) (.f32 2 (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))))))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_i)) (/.f32 (/.f32 1 cosTheta_O) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v)))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_i)) (/.f32 1 (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))))))
(.f32 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) cosTheta_i)) (/.f32 1 cosTheta_O))
(.f32 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))))) (/.f32 1 cosTheta_i))
(.f32 (.f32 2 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (.f32 1/2 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (/.f32 (.f32 (sinh.f32 (/.f32 1 v)) 4) (*.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 1/2 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (sinh.f32 (/.f32 1 v)) 4)))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O))) 2)
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (/.f32 2 (.f32 cosTheta_i cosTheta_O)))
(.f32 4 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 1/2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O)))))
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(.f32 4 (-.f32 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O))) (.f32 (sinh.f32 (/.f32 1 v)) (.f32 1/2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O))))))
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(.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O)) 4)) 1/2)
(.f32 (neg.f32 (.f32 (sinh.f32 (/.f32 1 v)) 4)) (neg.f32 (.f32 1/2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O)))))
(.f32 (neg.f32 (.f32 1/2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)))) (neg.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 4)))
(.f32 (neg.f32 (.f32 2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 8) (/.f32 1/2 (.f32 cosTheta_i (.f32 cosTheta_O (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (/.f32 2 v))))))
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(.f32 (+.f32 (.f32 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 1 v)) -2)) (.f32 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 1 v)) -2))) -1/2)
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(.f32 (.f32 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) cosTheta_i)) 2) (/.f32 1/2 cosTheta_O))
(.f32 (.f32 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))))) 2) (/.f32 1/2 cosTheta_i))
(.f32 (+.f32 (neg.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 2 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))))) (neg.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 2 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))))))) (/.f32 1/2 (neg.f32 (.f32 cosTheta_i cosTheta_O))))
(neg.f32 (.f32 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 1 v)) -2)))
(neg.f32 (/.f32 (.f32 (sinh.f32 (/.f32 1 v)) -2) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
(neg.f32 (/.f32 (neg.f32 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) 2))))
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Outputs
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))))
(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))))
(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(.f32 (.f32 (exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O) (/.f32 cosTheta_i (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))))
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(.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O v)))))
(.f32 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))))) (/.f32 1 cosTheta_i))
(.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O v)))))
(.f32 (.f32 2 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i cosTheta_O)))
(.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O v)))))
(.f32 (.f32 1/2 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (/.f32 (.f32 (sinh.f32 (/.f32 1 v)) 4) (*.f32 cosTheta_i cosTheta_O)))
(.f32 1/2 (.f32 (.f32 4 (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))))
(.f32 (/.f32 (.f32 v 1/2) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 4 (/.f32 (sinh.f32 (/.f32 1 v)) (*.f32 cosTheta_i cosTheta_O))))
(.f32 (/.f32 1/2 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (sinh.f32 (/.f32 1 v)) 4)))
(.f32 1/2 (.f32 (.f32 4 (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))))
(.f32 (/.f32 (.f32 v 1/2) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 4 (/.f32 (sinh.f32 (/.f32 1 v)) (*.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O))) 2)
(.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O v)))))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (/.f32 2 (.f32 cosTheta_i cosTheta_O)))
(.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O v)))))
(.f32 4 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 1/2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O)))))
(.f32 4 (.f32 1/2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(.f32 4 (.f32 1/2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O v))))))
(.f32 4 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 cosTheta_O (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (/.f32 2 v))))))
(.f32 4 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 cosTheta_O (.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 2 v))))))
(/.f32 (.f32 4 (sinh.f32 (/.f32 1 v))) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 2 v))))
(.f32 4 (-.f32 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O))) (.f32 (sinh.f32 (/.f32 1 v)) (.f32 1/2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O))))))
(.f32 4 (.f32 1/2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(.f32 4 (.f32 1/2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O v))))))
(.f32 4 (-.f32 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O))) (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 cosTheta_O (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (/.f32 2 v)))))))
(.f32 4 (-.f32 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 cosTheta_O (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 2 v)))))))
(.f32 -4 (-.f32 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 2 v)))) (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O v))))))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O)) 4)) 1/2)
(.f32 1/2 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 4 (/.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))))))
(.f32 (sinh.f32 (/.f32 1 v)) (.f32 1/2 (.f32 4 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))))))
(.f32 (neg.f32 (.f32 (sinh.f32 (/.f32 1 v)) 4)) (neg.f32 (.f32 1/2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O)))))
(.f32 (neg.f32 (.f32 4 (sinh.f32 (/.f32 1 v)))) (neg.f32 (.f32 1/2 (/.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))))))
(.f32 (neg.f32 (.f32 4 (sinh.f32 (/.f32 1 v)))) (/.f32 -1/2 (.f32 cosTheta_i (.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O v)))))
(.f32 (neg.f32 (.f32 1/2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)))) (neg.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 4)))
(.f32 (neg.f32 (.f32 4 (sinh.f32 (/.f32 1 v)))) (neg.f32 (.f32 1/2 (/.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))))))
(.f32 (neg.f32 (.f32 4 (sinh.f32 (/.f32 1 v)))) (/.f32 -1/2 (.f32 cosTheta_i (.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O v)))))
(.f32 (neg.f32 (.f32 2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(.f32 (neg.f32 (sinh.f32 (/.f32 1 v))) (neg.f32 (.f32 2 (/.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))))))
(/.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 -2 (neg.f32 (sinh.f32 (/.f32 1 v))))))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 8) (/.f32 1/2 (.f32 cosTheta_i (.f32 cosTheta_O (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (/.f32 2 v))))))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 8) (/.f32 (/.f32 1/2 cosTheta_i) (.f32 cosTheta_O (.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 2 v)))))
(/.f32 1/2 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 2 v))) (*.f32 (sinh.f32 (/.f32 1 v)) 8)))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 8) (-.f32 (.f32 1/2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O))) (/.f32 1/2 (.f32 cosTheta_i (.f32 cosTheta_O (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (/.f32 2 v)))))))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 8) (-.f32 (.f32 1/2 (/.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))) (/.f32 (/.f32 1/2 cosTheta_i) (.f32 cosTheta_O (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 2 v))))))
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 8) (-.f32 (.f32 1/2 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))))) (/.f32 1/2 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 2 v))))))
(.f32 (+.f32 (.f32 (sinh.f32 (/.f32 1 v)) -2) (.f32 (sinh.f32 (/.f32 1 v)) -2)) (/.f32 1/2 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (neg.f32 (.f32 cosTheta_i cosTheta_O)))))
(/.f32 (.f32 -2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v) (neg.f32 (.f32 cosTheta_i cosTheta_O))))
(/.f32 (.f32 -2 (sinh.f32 (/.f32 1 v))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (neg.f32 v))))
(.f32 (.f32 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 (.f32 cosTheta_i cosTheta_O))) 2) (.f32 1/2 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))))
(.f32 (/.f32 (.f32 v 1/2) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 2 (.f32 (/.f32 2 (.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 1 v)))))
(.f32 (/.f32 (.f32 v 1/2) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 cosTheta_i (/.f32 2 cosTheta_O)))))
(.f32 (+.f32 (.f32 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 1 v)) -2)) (.f32 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 1 v)) -2))) -1/2)
(.f32 -1/2 (+.f32 (.f32 -2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 -2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))
(.f32 -1/2 (+.f32 (.f32 -2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O v))))) (.f32 -2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O v)))))))
(.f32 (.f32 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_i)) 2) (/.f32 1/2 (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))))))
(.f32 (.f32 2 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_i))) (/.f32 1/2 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 v cosTheta_O))))
(.f32 (.f32 1/2 (.f32 2 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_i)))) (/.f32 (/.f32 v cosTheta_O) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))))
(.f32 (.f32 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) cosTheta_i)) 2) (/.f32 1/2 cosTheta_O))
(.f32 (.f32 2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 cosTheta_i (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v)))) (/.f32 1/2 cosTheta_O))
(.f32 (.f32 2 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 2 (/.f32 v (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i))))) (/.f32 1/2 cosTheta_O))
(.f32 (.f32 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))))) 2) (/.f32 1/2 cosTheta_i))
(.f32 (/.f32 1/2 cosTheta_i) (.f32 2 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 v cosTheta_O))))))
(.f32 (/.f32 1/2 cosTheta_i) (.f32 2 (/.f32 (/.f32 v cosTheta_O) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 2 (sinh.f32 (/.f32 1 v)))))))
(.f32 (+.f32 (neg.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 2 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))))) (neg.f32 (.f32 (sinh.f32 (/.f32 1 v)) (.f32 2 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))))))) (/.f32 1/2 (neg.f32 (.f32 cosTheta_i cosTheta_O))))
(/.f32 (neg.f32 (.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v)))) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (-.f32 (.f32 2 (/.f32 (.f32 v (sinh.f32 (/.f32 1 v))) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))) 0) (.f32 cosTheta_i cosTheta_O))
(neg.f32 (.f32 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 1 v)) -2)))
(neg.f32 (.f32 -2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(/.f32 (/.f32 (neg.f32 v) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 -2 (sinh.f32 (/.f32 1 v)))))
(neg.f32 (/.f32 (.f32 (sinh.f32 (/.f32 1 v)) -2) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
(neg.f32 (.f32 -2 (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))
(/.f32 (/.f32 (neg.f32 v) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 -2 (sinh.f32 (/.f32 1 v)))))
(neg.f32 (/.f32 (neg.f32 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) 2))))
(neg.f32 (/.f32 (neg.f32 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) 2))))
(neg.f32 (/.f32 (/.f32 v (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) 2)) (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (sinh.f32 (/.f32 1 v))))))
(neg.f32 (.f32 (neg.f32 (sinh.f32 (/.f32 1 v))) (.f32 2 (/.f32 (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)))))
(neg.f32 (/.f32 (neg.f32 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) 2))))
(neg.f32 (/.f32 (/.f32 v (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) 2)) (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (sinh.f32 (/.f32 1 v))))))

localize116.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	0.3b	(.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (-.f32 (/.f32 3 v) (/.f32 4 v)))
	0.8b	(sinh.f32 (/.f32 1 v))
✓	0.9b	(-.f32 (/.f32 3 v) (/.f32 4 v))

Compiler

Compiled 136 to 67 computations (50.7% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (-.f32 (/.f32 3 v) (/.f32 4 v)))
0.0ms	v	@	inf	(-.f32 (/.f32 3 v) (/.f32 4 v))
0.0ms	v	@	-inf	(.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (-.f32 (/.f32 3 v) (/.f32 4 v)))
0.0ms	v	@	-inf	(-.f32 (/.f32 3 v) (/.f32 4 v))
0.0ms	v	@	0	(-.f32 (/.f32 3 v) (/.f32 4 v))

rewrite55.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`rational.json-1`
1030×	`rational.json-2`
1030×	`rational.json-4`
1030×	`rational.json-3`
880×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	97	30
2	377	20
3	2332	20

Stop Event

1×	node limit

Counts

2 → 175

Calls

Call 1

Inputs
(-.f32 (/.f32 3 v) (/.f32 4 v))
(.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (-.f32 (/.f32 3 v) (/.f32 4 v)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 (neg.f32 v) (*.f32 cosTheta_i cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (*.f32 v (/.f32 -1 (*.f32 cosTheta_i cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (neg.f32 v) (-.f32 (neg.f32 v) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 v) (neg.f32 (/.f32 -1 (*.f32 cosTheta_i cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 v) (/.f32 1 (*.f32 cosTheta_i cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta_O (/.f32 1 v)) (/.f32 1 cosTheta_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 -1 v) 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(neg.f32 (*.f32 cosTheta_O (/.f32 1 v))) (neg.f32 (/.f32 1 cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (/.f32 -1 v) cosTheta_i)) (neg.f32 (/.f32 -1 cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 cosTheta_i (neg.f32 v))) (neg.f32 (/.f32 -1 cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 cosTheta_O v)) (neg.f32 (/.f32 1 cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))))))

simplify91.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1372×	`rational.json-simplify-1`
658×	`rational.json-simplify-67`
492×	`rational.json-simplify-24`
492×	`rational.json-simplify-63`
420×	`rational.json-simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	378	4147
1	1365	3839
2	7774	3839

Stop Event

1×	node limit

Counts

223 → 219

Calls

Call 1

Inputs
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 (/.f32 3 v) (/.f32 -4 v))
(+.f32 (/.f32 -1 v) 0)
(+.f32 (/.f32 -1 v) (/.f32 0 v))
(+.f32 0 (/.f32 -1 v))
(+.f32 (/.f32 1 v) (/.f32 -2 v))
(+.f32 (/.f32 6 v) (neg.f32 (/.f32 7 v)))
(+.f32 (/.f32 6 v) (/.f32 -7 v))
(+.f32 (/.f32 6 v) (/.f32 -1 (/.f32 v 7)))
(+.f32 (/.f32 -4 v) (/.f32 3 v))
(+.f32 (/.f32 -2 v) (/.f32 1 v))
(+.f32 (/.f32 12 v) (neg.f32 (/.f32 13 v)))
(+.f32 (/.f32 0 v) (/.f32 -1 v))
(+.f32 (neg.f32 (/.f32 7 v)) (/.f32 6 v))
(+.f32 (neg.f32 (/.f32 13 v)) (/.f32 12 v))
(+.f32 (/.f32 -7 v) (/.f32 6 v))
(*.f32 (/.f32 -1 v) 1)
(*.f32 1 (/.f32 -1 v))
(*.f32 -1 (/.f32 1 v))
(*.f32 (/.f32 1 v) -1)
(*.f32 1/2 (/.f32 -2 v))
(*.f32 1/2 (-.f32 (/.f32 6 v) (/.f32 8 v)))
(*.f32 (/.f32 1/2 v) -2)
(*.f32 -1/2 (/.f32 2 v))
(*.f32 (/.f32 -2 v) 1/2)
(*.f32 -2 (/.f32 1/2 v))
(*.f32 (/.f32 2 v) -1/2)
(*.f32 (neg.f32 (/.f32 1/2 v)) 2)
(*.f32 2 (neg.f32 (/.f32 1/2 v)))
(*.f32 2 (/.f32 -1/2 v))
(*.f32 2 (-.f32 (/.f32 -1 v) (neg.f32 (/.f32 1/2 v))))
(*.f32 2 (-.f32 (/.f32 -1 v) (/.f32 -1/2 v)))
(*.f32 2 (+.f32 (/.f32 -1 v) (/.f32 1/2 v)))
(*.f32 (/.f32 -1/2 v) 2)
(/.f32 (/.f32 -1 v) 1)
(/.f32 1 (neg.f32 v))
(/.f32 1 (-.f32 (-.f32 v v) v))
(/.f32 1 (-.f32 (.f32 v 3) (.f32 (+.f32 v v) 2)))
(/.f32 -1 v)
(/.f32 -1 (-.f32 (neg.f32 v) (-.f32 (neg.f32 v) v)))
(/.f32 (/.f32 1 v) -1)
(/.f32 -2 (+.f32 v v))
(/.f32 -2 (/.f32 1 (/.f32 1/2 v)))
(/.f32 2 (-.f32 0 (+.f32 v v)))
(/.f32 2 (-.f32 v (*.f32 v 3)))
(/.f32 2 (-.f32 (+.f32 v v) (*.f32 (+.f32 v v) 2)))
(/.f32 (/.f32 -1 (+.f32 v v)) 1/2)
(/.f32 (-.f32 (/.f32 -3 v) (/.f32 -4 v)) -1)
(/.f32 (-.f32 (/.f32 3 (+.f32 v v)) (/.f32 2 v)) 1/2)
(/.f32 (-.f32 (/.f32 3 v) (/.f32 7 (+.f32 v v))) 1/2)
(/.f32 (-.f32 (neg.f32 (/.f32 6 v)) (neg.f32 (/.f32 7 v))) -1)
(/.f32 (-.f32 (neg.f32 (/.f32 7 v)) (+.f32 (/.f32 -4 v) (/.f32 -4 v))) -1)
(/.f32 (-.f32 (+.f32 (/.f32 -4 v) (/.f32 -3 v)) (+.f32 (/.f32 -4 v) (/.f32 -4 v))) -1)
(/.f32 (-.f32 (/.f32 2 v) (-.f32 (/.f32 -3 v) (/.f32 -4 v))) -1)
(/.f32 (+.f32 (/.f32 2 v) (/.f32 -1 v)) -1)
(neg.f32 (/.f32 1 v))
(neg.f32 (-.f32 (/.f32 -3 v) (/.f32 -4 v)))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 0)
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O)))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 0))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 0 v))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O))))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (-.f32 (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O)) (/.f32 0 v)))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (-.f32 (/.f32 0 v) (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O))))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 0 v)))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (-.f32 cosTheta_i cosTheta_i) v))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (-.f32 cosTheta_O cosTheta_O) v))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 -1 v) (-.f32 cosTheta_i cosTheta_i)))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 -1 v) (-.f32 cosTheta_O cosTheta_O)))
(+.f32 0 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 -3 v))) (.f32 (/.f32 4 v) (.f32 cosTheta_i cosTheta_O)))
(+.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 -3 v))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) -4) (neg.f32 v)))
(+.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 -3 v))) (/.f32 -1 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) -4))))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2))
(+.f32 (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 cosTheta_i (.f32 cosTheta_O (neg.f32 (/.f32 6 v)))) (neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 -7 v))))
(+.f32 (.f32 (/.f32 4 v) (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 -3 v))))
(+.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(+.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 0) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (/.f32 0 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (neg.f32 (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 -7 v))) (.f32 cosTheta_i (.f32 cosTheta_O (neg.f32 (/.f32 6 v)))))
(+.f32 (-.f32 (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O)) (/.f32 0 v)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (-.f32 (/.f32 0 v) (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (neg.f32 (/.f32 0 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (/.f32 (-.f32 cosTheta_i cosTheta_i) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (/.f32 (-.f32 cosTheta_O cosTheta_O) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 (/.f32 -1 v) (-.f32 cosTheta_i cosTheta_i)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 (/.f32 -1 v) (-.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) -4) (neg.f32 v)) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 -3 v))))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 0)
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 0))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 0 v))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O))))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (-.f32 (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O)) (/.f32 0 v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (-.f32 (/.f32 0 v) (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O))))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 0 v)))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (-.f32 cosTheta_i cosTheta_i) v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (-.f32 cosTheta_O cosTheta_O) v))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 -1 v) (-.f32 cosTheta_i cosTheta_i)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 -1 v) (-.f32 cosTheta_O cosTheta_O)))
(-.f32 0 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 -3 v))) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 -4 v))))
(-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 -4 v))) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 5 v)))
(-.f32 (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
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(neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))

Outputs
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
(/.f32 -1 v)
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(.f32 (.f32 cosTheta_O (neg.f32 cosTheta_i)) (-.f32 (/.f32 12 v) (/.f32 13 v)))
(-.f32 (+.f32 (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 12 v)) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 12 v))) (+.f32 (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 12 v)) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 13 v))))
(-.f32 (.f32 (/.f32 12 v) (.f32 cosTheta_i (neg.f32 cosTheta_O))) (.f32 (/.f32 13 v) (/.f32 (.f32 cosTheta_i cosTheta_O) -1)))
(.f32 (.f32 cosTheta_O (neg.f32 cosTheta_i)) (-.f32 (/.f32 12 v) (/.f32 13 v)))
(-.f32 (+.f32 (/.f32 (-.f32 cosTheta_i cosTheta_i) v) (/.f32 (-.f32 cosTheta_i cosTheta_i) v)) (+.f32 (/.f32 (-.f32 cosTheta_i cosTheta_i) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v))))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 cosTheta_i cosTheta_i)) v)
(/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_O))) v)
(-.f32 (+.f32 (.f32 (/.f32 -1 v) (-.f32 cosTheta_i cosTheta_i)) (.f32 (/.f32 -1 v) (-.f32 cosTheta_i cosTheta_i))) (+.f32 (.f32 (/.f32 -1 v) (-.f32 cosTheta_i cosTheta_i)) (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v))))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 cosTheta_i cosTheta_i)) v)
(/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_O))) v)
(-.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 8 v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 8 v))) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 8 v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 7 v))))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(-.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 7 v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 7 v))) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 7 v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 6 v))))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(-.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) -4) (neg.f32 v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) -4) (neg.f32 v))) (+.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) -4) (neg.f32 v)) (.f32 3 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 4 v) cosTheta_O)) (/.f32 3 (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 4 v))) (/.f32 cosTheta_O (/.f32 (/.f32 v cosTheta_i) 3)))
(/.f32 (/.f32 -1 v) (/.f32 -1 (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (*.f32 (neg.f32 v) (/.f32 -1 cosTheta_O)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (neg.f32 cosTheta_O) (*.f32 (neg.f32 v) (/.f32 1 cosTheta_i)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (neg.f32 v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (-.f32 (-.f32 v v) v))
(*.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (-.f32 (-.f32 v v) v)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (-.f32 v (-.f32 v v))))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (-.f32 (.f32 v 3) (*.f32 (+.f32 v v) 2)))
(.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (-.f32 (.f32 v 3) (*.f32 2 (+.f32 v v)))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 1)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 1 (.f32 (neg.f32 v) (/.f32 -1 (.f32 cosTheta_i cosTheta_O))))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 1 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 1 (/.f32 (/.f32 -1 (*.f32 cosTheta_i cosTheta_O)) (/.f32 -1 v)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 1 (/.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 -1 (/.f32 (neg.f32 v) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 -1 (.f32 v (/.f32 -1 (.f32 cosTheta_i cosTheta_O))))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (neg.f32 v) (-.f32 (neg.f32 v) v)))
(*.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (-.f32 (-.f32 v v) v)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (-.f32 v (-.f32 v v))))
(/.f32 (/.f32 1 v) (neg.f32 (/.f32 -1 (*.f32 cosTheta_i cosTheta_O))))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (/.f32 1 v) (/.f32 1 (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) -1)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (/.f32 1 v)) (/.f32 1 cosTheta_i))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 (/.f32 -1 v) cosTheta_i) (/.f32 -1 cosTheta_O))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 -1 cosTheta_O))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (/.f32 cosTheta_O v) (/.f32 1 cosTheta_i))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v)) 1/2)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (-.f32 (.f32 cosTheta_O (/.f32 -3 v)) (/.f32 cosTheta_O (neg.f32 (.f32 v 1/4)))) (/.f32 1 cosTheta_i))
(.f32 (-.f32 (.f32 cosTheta_O (/.f32 -3 v)) (/.f32 cosTheta_O (neg.f32 (*.f32 v 1/4)))) (/.f32 cosTheta_i 1))
(.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v -3)) (/.f32 cosTheta_O (.f32 v -1/4))))
(/.f32 (-.f32 (.f32 cosTheta_O (/.f32 -3 v)) (.f32 cosTheta_O (/.f32 -4 v))) (/.f32 1 cosTheta_i))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (-.f32 (.f32 (/.f32 3 v) cosTheta_i) (/.f32 cosTheta_i (.f32 v 1/4))) (/.f32 -1 cosTheta_O))
(.f32 (-.f32 (.f32 cosTheta_i (/.f32 3 v)) (/.f32 cosTheta_i (*.f32 v 1/4))) (neg.f32 cosTheta_O))
(.f32 (neg.f32 cosTheta_O) (-.f32 (.f32 cosTheta_i (/.f32 3 v)) (/.f32 cosTheta_i (*.f32 v 1/4))))
(/.f32 (-.f32 (.f32 (/.f32 3 v) cosTheta_i) (.f32 (/.f32 4 v) cosTheta_i)) (/.f32 -1 cosTheta_O))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (-.f32 (.f32 3 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v 1/4))) -1)
(neg.f32 (-.f32 (/.f32 3 (/.f32 v (.f32 cosTheta_i cosTheta_O))) (.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v 1/4)))))
(-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O -1/3)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v -1/4)))
(/.f32 (-.f32 (/.f32 3 (/.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 (*.f32 cosTheta_i cosTheta_O) -4)) v)
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) -1/3) (.f32 (*.f32 cosTheta_i cosTheta_O) -4)) v)
(/.f32 (neg.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i))) v)
(/.f32 (-.f32 (/.f32 6 (/.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) 8)) (+.f32 v v))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) -1/6) (.f32 8 (*.f32 cosTheta_i (neg.f32 cosTheta_O)))) (+.f32 v v))
(/.f32 (.f32 (.f32 cosTheta_O (neg.f32 cosTheta_i)) -2) (+.f32 v v))
(/.f32 (-.f32 (/.f32 -3 (/.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) -4)) (neg.f32 v))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) -1/3) (.f32 (*.f32 cosTheta_i cosTheta_O) -4)) v)
(/.f32 (neg.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i))) v)
(/.f32 (-.f32 (/.f32 -3 (/.f32 -1 (.f32 cosTheta_i cosTheta_O))) (neg.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) -4))) (neg.f32 v))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) -1/3) (.f32 (*.f32 cosTheta_i cosTheta_O) -4)) v)
(/.f32 (neg.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i))) v)
(/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O -3)) (.f32 (.f32 cosTheta_i cosTheta_O) -4)) v)
(-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (neg.f32 (/.f32 6 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 -7 v)))
(/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O -3)) (.f32 cosTheta_i (.f32 cosTheta_O -4))) v)
(/.f32 (-.f32 (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) 6) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) 8)) (+.f32 v v))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) -1/6) (.f32 8 (*.f32 cosTheta_i (neg.f32 cosTheta_O)))) (+.f32 v v))
(/.f32 (.f32 (.f32 cosTheta_O (neg.f32 cosTheta_i)) -2) (+.f32 v v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) -3) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) -4)) (neg.f32 v))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) -1/3) (.f32 (*.f32 cosTheta_i cosTheta_O) -4)) v)
(/.f32 (neg.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i))) v)
(/.f32 (-.f32 (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) -3) (neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) -4))) (neg.f32 v))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) -1/3) (.f32 (*.f32 cosTheta_i cosTheta_O) -4)) v)
(/.f32 (neg.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i))) v)
(/.f32 (-.f32 (.f32 cosTheta_i (-.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_i (neg.f32 cosTheta_O))) v)
(/.f32 (*.f32 cosTheta_i (-.f32 (-.f32 cosTheta_O cosTheta_O) (neg.f32 cosTheta_O))) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 0 (-.f32 cosTheta_i (neg.f32 cosTheta_O)))) v)
(/.f32 (-.f32 (.f32 cosTheta_O 0) (.f32 cosTheta_O (neg.f32 cosTheta_i))) v)
(/.f32 (-.f32 (/.f32 15 v) (/.f32 16 v)) (/.f32 -1 (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (-.f32 (/.f32 1 v) (/.f32 2 v)) (/.f32 -1 (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (neg.f32 (*.f32 cosTheta_O (/.f32 1 v))) (neg.f32 (/.f32 1 cosTheta_i)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (neg.f32 (*.f32 (/.f32 -1 v) cosTheta_i)) (neg.f32 (/.f32 -1 cosTheta_O)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (neg.f32 (/.f32 cosTheta_i (neg.f32 v))) (neg.f32 (/.f32 -1 cosTheta_O)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (neg.f32 (/.f32 cosTheta_O v)) (neg.f32 (/.f32 1 cosTheta_i)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))

eval1.7s (4.8%)

Compiler: Compiled 84635 to 41656 computations (50.8% saved)

prune1.7s (5%)

Pruning

92 alts after pruning (91 fresh and 1 done)

	Pruned	Kept	Total
New	2586	75	2661
Fresh	25	16	41
Picked	0	1	1
Done	5	0	5
Total	2616	92	2708

Error

Counts

2708 → 92

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) 2) (sinh.f32 (/.f32 1 v)))
▶	0.4b	(/.f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1/2 cosTheta_O)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	11.3b	(/.f32 (/.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i))) 2) (sinh.f32 (/.f32 1 v)))
	0.7b	(/.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) 2) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	0.4b	(/.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 cosTheta_O (/.f32 2 v)) cosTheta_i) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	0.4b	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
▶	13.4b	(/.f32 (/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v)) 1/2)
	0.7b	(/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) 2) (sinh.f32 (/.f32 1 v)))
	13.4b	(/.f32 (/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) (-.f32 (neg.f32 v) v)) -1/2)
	13.4b	(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) 2) (/.f32 1/2 (/.f32 cosTheta_O v)))
	13.4b	(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
	2.6b	(/.f32 (/.f32 1 v) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (.f32 cosTheta_i cosTheta_O)))
	2.6b	(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
	2.4b	(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (/.f32 (/.f32 1 cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v)))))
	2.6b	(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))))
	13.2b	(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))
	2.6b	(/.f32 (/.f32 1 v) (*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
	2.5b	(/.f32 (/.f32 1 v) (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
	13.4b	(/.f32 (/.f32 1/2 (/.f32 1 cosTheta_O)) (/.f32 v cosTheta_i))
	13.4b	(/.f32 (/.f32 1/2 (+.f32 (/.f32 v cosTheta_O) (/.f32 v cosTheta_O))) (/.f32 1/2 cosTheta_i))
	13.2b	(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))
	13.4b	(/.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) (.f32 (neg.f32 cosTheta_i) (.f32 1/2 (/.f32 cosTheta_O v)))) -1)
	13.4b	(/.f32 (-.f32 (.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v))) (/.f32 (.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v))) 2)) 1/2)
	13.4b	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 1/2 cosTheta_O) cosTheta_i)) v)
	13.3b	(/.f32 (-.f32 (.f32 -1/2 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O))) (.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) 1/2)) (neg.f32 v))
	13.4b	(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
	2.4b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (/.f32 15 v) (/.f32 16 v)) (/.f32 -1 (.f32 cosTheta_i cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	1.0b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 -7 cosTheta_O)) (.f32 8 (.f32 cosTheta_O (neg.f32 cosTheta_i)))) v)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	0.5b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 1 v)) -2) (-.f32 (/.f32 3 v) (/.f32 4 v))))
	0.5b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 (.f32 (/.f32 1 v) (/.f32 1 (sinh.f32 (/.f32 1 v))))))
	0.9b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 8 v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 7 v)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	0.8b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (-.f32 (neg.f32 (/.f32 7 v)) (+.f32 (/.f32 -4 v) (/.f32 -4 v))) -1))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
✓	0.5b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (-.f32 (/.f32 3 v) (/.f32 4 v)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	1.0b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (+.f32 (/.f32 12 v) (/.f32 -13 v)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	0.6b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O (/.f32 v -3)) (.f32 cosTheta_O (/.f32 4 v))))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	13.4b	(/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1 cosTheta_O))
	13.4b	(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
	13.3b	(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
	13.3b	(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
	13.3b	(/.f32 -1 (/.f32 (/.f32 v -1/2) (*.f32 cosTheta_i cosTheta_O)))
	13.4b	(-.f32 (/.f32 (+.f32 (.f32 (/.f32 cosTheta_O v) 2) (.f32 (/.f32 cosTheta_O v) 2)) (/.f32 2 cosTheta_i)) (/.f32 (+.f32 (/.f32 cosTheta_O v) (*.f32 (/.f32 cosTheta_O v) 2)) (/.f32 2 cosTheta_i)))
	13.4b	(-.f32 (/.f32 (+.f32 cosTheta_i (+.f32 cosTheta_i (+.f32 cosTheta_i cosTheta_i))) (/.f32 (+.f32 v v) cosTheta_O)) (/.f32 (+.f32 cosTheta_i (+.f32 cosTheta_i cosTheta_i)) (/.f32 (+.f32 v v) cosTheta_O)))
	13.4b	(-.f32 (/.f32 (+.f32 cosTheta_O (+.f32 cosTheta_O (+.f32 cosTheta_O cosTheta_O))) (/.f32 (+.f32 v v) cosTheta_i)) (/.f32 (+.f32 cosTheta_O (+.f32 cosTheta_O cosTheta_O)) (/.f32 (+.f32 v v) cosTheta_i)))
	13.4b	(-.f32 (/.f32 (+.f32 cosTheta_O cosTheta_O) (/.f32 (+.f32 v v) cosTheta_i)) (.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v))))
	13.4b	(-.f32 (/.f32 (.f32 (+.f32 cosTheta_i cosTheta_i) cosTheta_O) (+.f32 v v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))))
	13.6b	(-.f32 (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)) (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))))
	13.4b	(-.f32 (-.f32 (+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2))) (.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v)))) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 2))))
	13.4b	(-.f32 (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O 2) v)) (.f32 (/.f32 cosTheta_O v) (+.f32 cosTheta_i (.f32 1/2 cosTheta_i))))
	13.4b	(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))))
	13.4b	(-.f32 (.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 2) (/.f32 (.f32 1/2 cosTheta_O) v))) (.f32 cosTheta_i (/.f32 cosTheta_O v)))
▶	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v)))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.4b	(-.f32 (.f32 cosTheta_i (neg.f32 (/.f32 cosTheta_O (neg.f32 v)))) (.f32 1/2 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
	14.5b	(-.f32 cosTheta_O (-.f32 cosTheta_O (.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))))
	13.6b	(+.f32 (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
	13.4b	(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 1/2 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O)))))
	0.4b	(.f32 (/.f32 (/.f32 1 v) (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) 2)))
	0.8b	(.f32 (/.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 1 v)) 4))) v) 2)
	1.5b	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
	0.5b	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))))
	0.4b	(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v)) (.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 (/.f32 cosTheta_i 2) (sinh.f32 (/.f32 1 v)))))
	0.5b	(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v)) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 1 v)))))
	0.4b	(.f32 (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))))
	0.4b	(.f32 (/.f32 1 (sinh.f32 (/.f32 1 v))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v))))
	0.4b	(.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 -1 v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (neg.f32 v)))))
	1.6b	(.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (/.f32 v 2))))
	0.4b	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i cosTheta_O))
	0.5b	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
	0.4b	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) cosTheta_i) (/.f32 cosTheta_O (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))
	0.4b	(.f32 (.f32 cosTheta_i (/.f32 (/.f32 2 v) (/.f32 1 cosTheta_O))) (/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
	0.6b	(.f32 (.f32 cosTheta_i (-.f32 (+.f32 (/.f32 4 (/.f32 v cosTheta_O)) (/.f32 4 (/.f32 v cosTheta_O))) (+.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 4 (/.f32 v cosTheta_O))))) (/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
▶	0.5b	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
	0.6b	(.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) (/.f32 1/2 (-.f32 (.f32 (exp.f32 (/.f32 1 v)) v) (/.f32 v (exp.f32 (/.f32 1 v))))))
	13.4b	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) 1/4)
	0.5b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v))) (/.f32 1 (/.f32 1/2 v))))
	11.5b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (+.f32 (.f32 v (/.f32 2 cosTheta_O)) (/.f32 1/3 (.f32 v cosTheta_O)))))
	0.6b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (-.f32 (.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 2 v)) 2) (.f32 (/.f32 (/.f32 cosTheta_i v) v) 3))))
	0.4b	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))))))
	13.4b	(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
	13.4b	(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
	13.4b	(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
	13.4b	(.f32 1/2 (/.f32 cosTheta_O (.f32 (/.f32 1 cosTheta_i) v)))
	13.4b	(.f32 1/2 (-.f32 (.f32 (/.f32 2 v) (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i (/.f32 cosTheta_O v))))
	13.4b	(.f32 1/2 (-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) 2) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))))
	13.4b	(.f32 1/2 (-.f32 (.f32 (.f32 cosTheta_O (/.f32 2 v)) cosTheta_i) (.f32 cosTheta_i (/.f32 cosTheta_O v))))
	13.4b	(.f32 1/2 (-.f32 (.f32 2 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v)))) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3))))
	13.4b	(.f32 1/2 (+.f32 (neg.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v)))))
	14.4b	(*.f32 1/2 (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i)))
▶	13.4b	(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
	13.4b	(.f32 1/2 (.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 cosTheta_O 1/2)))
	13.4b	(.f32 1/2 (.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 -1 v))))
	13.4b	(.f32 1/2 (.f32 cosTheta_i (-.f32 (*.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v))))

Compiler

Compiled 4390 to 3107 computations (29.2% saved)

localize97.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1/2 cosTheta_O)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
✓	0.3b	(.f32 (/.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1/2 cosTheta_O)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))
✓	0.3b	(*.f32 cosTheta_i (/.f32 1/2 v))
	0.8b	(sinh.f32 (/.f32 1 v))

Compiler

Compiled 133 to 60 computations (54.9% saved)

series9.0ms (0%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	cosTheta_i	@	inf	(/.f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1/2 cosTheta_O)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
0.0ms	cosTheta_i	@	0	(*.f32 cosTheta_i (/.f32 1/2 v))
0.0ms	v	@	inf	(*.f32 cosTheta_i (/.f32 1/2 v))
0.0ms	v	@	0	(*.f32 cosTheta_i (/.f32 1/2 v))
0.0ms	cosTheta_i	@	inf	(.f32 (/.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1/2 cosTheta_O)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))

rewrite134.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`rational.json-simplify-1`
884×	`rational.json-simplify-14`
868×	`rational.json-simplify-43`
782×	`rational.json-simplify-13`
684×	`rational.json-simplify-15`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	149
1	172	149
2	818	125
3	7743	125

Stop Event

1×	node limit

Counts

3 → 433

Calls

Call 1

Inputs

(*.f32 cosTheta_i (/.f32 1/2 v))

(*.f32 (/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1/2 cosTheta_O)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))

(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1/2 cosTheta_O)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 0 v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (*.f32 cosTheta_i 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (-.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (*.f32 cosTheta_i (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (-.f32 0 (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (-.f32 0 (*.f32 cosTheta_i 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (-.f32 (/.f32 0 v) (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (-.f32 (*.f32 cosTheta_i 0) (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (-.f32 (/.f32 0 v) (*.f32 cosTheta_i 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (-.f32 (*.f32 cosTheta_i 0) (*.f32 cosTheta_i 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 0 (/.f32 1 cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (*.f32 1 (*.f32 cosTheta_i 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (*.f32 (*.f32 cosTheta_i 1/2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (*.f32 0 (*.f32 cosTheta_i 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (*.f32 1 (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 cosTheta_i (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 cosTheta_i v) (neg.f32 (*.f32 cosTheta_i (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 1/4 v)) (*.f32 cosTheta_i (/.f32 1/4 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 v) (*.f32 cosTheta_i (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 1/2 v))) (/.f32 cosTheta_i v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i 0) (*.f32 cosTheta_i (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (*.f32 cosTheta_i (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (/.f32 0 v)) (*.f32 cosTheta_i (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (*.f32 cosTheta_i 0)) (*.f32 cosTheta_i (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 0 v) (/.f32 0 v)) (*.f32 cosTheta_i (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 cosTheta_i 0) (/.f32 0 v)) (*.f32 cosTheta_i (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> 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simplify246.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1670×	`rational.json-simplify-13`
1430×	`rational.json-simplify-14`
1310×	`rational.json-simplify-15`
610×	`rational.json-simplify-67`
524×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	896	35807
1	3150	34405

Stop Event

1×	node limit

Counts

577 → 658

Calls

Call 1

Inputs
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
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(neg.f32 (neg.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v (/.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 1/2 v))) (sinh.f32 (/.f32 1 v)))))))

Outputs
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
(*.f32 1/2 (/.f32 cosTheta_i v))
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(.f32 -1/2 (-.f32 (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (neg.f32 v)) (/.f32 (sinh.f32 (/.f32 1 v)) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 1/2 v))))) (.f32 cosTheta_i (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 v (sinh.f32 (/.f32 1 v)))) (*.f32 cosTheta_O (/.f32 1/2 v))))))
(.f32 (neg.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (neg.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v (/.f32 cosTheta_i v))))))
(.f32 (.f32 cosTheta_i (/.f32 (/.f32 (.f32 cosTheta_O (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) v) v)) (-.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) 0))
(.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (/.f32 v (neg.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))))) (/.f32 -1/2 (sinh.f32 (/.f32 1 v))))
(neg.f32 (neg.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v (/.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 1/2 v))) (sinh.f32 (/.f32 1 v)))))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (.f32 (.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) v))
(.f32 cosTheta_i (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 v (sinh.f32 (/.f32 1 v)))) (*.f32 cosTheta_O (/.f32 1/2 v))))

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 cosTheta_i v)
✓	0.0b	(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
✓	0.2b	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)

Compiler

Compiled 24 to 10 computations (58.3% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	cosTheta_i	@	-inf	(/.f32 cosTheta_i v)
0.0ms	v	@	-inf	(/.f32 cosTheta_i v)
0.0ms	v	@	inf	(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
0.0ms	v	@	-inf	(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
0.0ms	cosTheta_i	@	-inf	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)

rewrite72.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`rational.json-simplify-24`
806×	`rational.json-simplify-13`
782×	`rational.json-simplify-5`
698×	`rational.json-simplify-4`
696×	`rational.json-simplify-6`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	54	39
2	185	39
3	1025	39

Stop Event

1×	node limit

Counts

3 → 420

Calls

Call 1

Inputs
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(/.f32 cosTheta_i v)

Outputs

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simplify129.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational.json-simplify-13`
894×	`rational.json-simplify-3`
822×	`rational.json-simplify-12`
818×	`rational.json-simplify-2`
818×	`rational.json-simplify-14`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	742	12722
1	2853	12426

Stop Event

1×	node limit

Counts

492 → 659

Calls

Call 1

Inputs
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(*.f32 (neg.f32 (+.f32 cosTheta_i cosTheta_i)) (neg.f32 (/.f32 1/2 v)))
(*.f32 (neg.f32 (+.f32 cosTheta_i cosTheta_i)) (/.f32 -1/2 v))
(*.f32 (neg.f32 (+.f32 cosTheta_i cosTheta_i)) (neg.f32 (/.f32 1/2 v)))
(*.f32 (neg.f32 (+.f32 cosTheta_i cosTheta_i)) (/.f32 -1/2 v))
(.f32 (neg.f32 (+.f32 cosTheta_i cosTheta_i)) (.f32 1 (neg.f32 (/.f32 1/2 v))))
(*.f32 (neg.f32 (+.f32 cosTheta_i cosTheta_i)) (neg.f32 (/.f32 1/2 v)))
(*.f32 (neg.f32 (+.f32 cosTheta_i cosTheta_i)) (/.f32 -1/2 v))
(.f32 (+.f32 (+.f32 cosTheta_i cosTheta_i) (+.f32 cosTheta_i cosTheta_i)) (.f32 (/.f32 1 v) 1/4))
(.f32 (/.f32 1 v) (.f32 (+.f32 cosTheta_i (+.f32 cosTheta_i (+.f32 cosTheta_i cosTheta_i))) 1/4))
(.f32 (+.f32 cosTheta_i (+.f32 cosTheta_i (+.f32 cosTheta_i cosTheta_i))) (.f32 (/.f32 1 v) 1/4))
(.f32 (+.f32 (+.f32 cosTheta_i cosTheta_i) (+.f32 cosTheta_i cosTheta_i)) (-.f32 (/.f32 1/2 v) (.f32 (/.f32 1 v) 1/4)))
(.f32 (+.f32 cosTheta_i (+.f32 cosTheta_i (+.f32 cosTheta_i cosTheta_i))) (-.f32 (/.f32 1/2 v) (.f32 (/.f32 1 v) 1/4)))
(*.f32 (-.f32 (neg.f32 cosTheta_i) cosTheta_i) (neg.f32 (/.f32 1/2 v)))
(*.f32 (-.f32 (neg.f32 cosTheta_i) cosTheta_i) (/.f32 -1/2 v))
(.f32 (-.f32 (neg.f32 cosTheta_i) cosTheta_i) (.f32 1 (neg.f32 (/.f32 1/2 v))))
(*.f32 (-.f32 (neg.f32 cosTheta_i) cosTheta_i) (neg.f32 (/.f32 1/2 v)))
(*.f32 (-.f32 (neg.f32 cosTheta_i) cosTheta_i) (/.f32 -1/2 v))
(.f32 (-.f32 (neg.f32 cosTheta_i) cosTheta_i) (.f32 (/.f32 1 v) -1/2))
(.f32 (/.f32 1 v) (.f32 (-.f32 (neg.f32 cosTheta_i) cosTheta_i) -1/2))
(.f32 -1/2 (.f32 (-.f32 (neg.f32 cosTheta_i) cosTheta_i) (/.f32 1 v)))
(*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 cosTheta_i v)) -1/2)
(*.f32 -1/2 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 cosTheta_i v)))
(neg.f32 (/.f32 cosTheta_i (neg.f32 v)))
(/.f32 cosTheta_i v)

localize33.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f32 (.f32 1/2 cosTheta_O) cosTheta_i)
✓	0.1b	(/.f32 (/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v)) 1/2)
✓	0.2b	(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v))

Compiler

Compiled 40 to 22 computations (45% saved)

series6.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	cosTheta_i	@	0	(.f32 (.f32 1/2 cosTheta_O) cosTheta_i)
0.0ms	cosTheta_i	@	inf	(.f32 (.f32 1/2 cosTheta_O) cosTheta_i)
0.0ms	cosTheta_O	@	0	(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v))
0.0ms	cosTheta_O	@	inf	(.f32 (.f32 1/2 cosTheta_O) cosTheta_i)
0.0ms	v	@	inf	(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v))

rewrite93.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`rational.json-simplify-6`
1016×	`rational.json-simplify-29`
846×	`rational.json-simplify-33`
842×	`rational.json-simplify-3`
838×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	71	57
2	279	57
3	1659	57

Stop Event

1×	node limit

Counts

3 → 562

Calls

Call 1

Inputs
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v))
(/.f32 (/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v)) 1/2)
(.f32 (.f32 1/2 cosTheta_O) cosTheta_i)

Outputs

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(/.f32 2 cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (*.f32 1/2 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) (/.f32 (-.f32 cosTheta_O cosTheta_O) (+.f32 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (*.f32 1/2 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) (/.f32 (-.f32 cosTheta_i cosTheta_i) (+.f32 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (*.f32 1/2 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) (/.f32 0 (+.f32 v (*.f32 v 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (*.f32 1/2 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) (*.f32 cosTheta_i (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (*.f32 1/2 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) (*.f32 0 (*.f32 1/2 (*.f32 1/2 (/.f32 cosTheta_O v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (*.f32 1/2 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) (+.f32 (/.f32 0 v) (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (/.f32 2 cosTheta_O) cosTheta_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (*.f32 1/2 (*.f32 cosTheta_O cosTheta_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 -1 (*.f32 (*.f32 cosTheta_O cosTheta_i) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta_O -1/2) (neg.f32 (/.f32 1 cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 cosTheta_i) (neg.f32 (/.f32 2 cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/2 cosTheta_i) (/.f32 1 cosTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1/2 (/.f32 1 cosTheta_i)) (/.f32 1 cosTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/2 (*.f32 1/2 (*.f32 cosTheta_O cosTheta_i))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) 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simplify198.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1266×	`rational.json-simplify-24`
1198×	`rational.json-simplify-1`
1074×	`rational.json-simplify-4`
778×	`rational.json-simplify-44`
616×	`rational.json-simplify-6`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	942	21020
1	2849	18200

Stop Event

1×	node limit

Counts

658 → 855

Calls

Call 1

Inputs
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
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(.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
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(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
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(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
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(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
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(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
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(/.f32 (.f32 1/2 (.f32 1/2 (*.f32 cosTheta_O cosTheta_i))) 1/2)
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i (/.f32 cosTheta_O 2))
(/.f32 (.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) -1/2) 1/2) -1/2)
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i (/.f32 cosTheta_O 2))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) -1/2) 1/2) (.f32 (.f32 cosTheta_O cosTheta_i) -1/2)) -1)
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i (/.f32 cosTheta_O 2))
(/.f32 (-.f32 cosTheta_i (/.f32 1/2 (/.f32 1 cosTheta_i))) (/.f32 1 cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i (/.f32 cosTheta_O 2))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) -1/2) (.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) -1/2) 1/2)) -1/2)
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i (/.f32 cosTheta_O 2))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) -1/2) 1/2) (.f32 1/2 (.f32 cosTheta_O cosTheta_i))) -1)
(+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 -1/2 (*.f32 cosTheta_i cosTheta_O)))
(+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i (*.f32 cosTheta_O -1/2)))
(neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) -1/2))
(.f32 1/2 (.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i (/.f32 cosTheta_O 2))

localize68.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	0.2b	(.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v)))
✓	0.2b	(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))))
✓	0.6b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v)))))

Compiler

Compiled 76 to 31 computations (59.2% saved)

series5.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	cosTheta_i	@	0	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v)))))
0.0ms	cosTheta_O	@	-inf	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v)))))
0.0ms	cosTheta_i	@	-inf	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v)))))
0.0ms	v	@	-inf	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v)))))
0.0ms	v	@	inf	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v)))))

rewrite134.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2102×	`rational.json-1`
970×	`rational.json-2`
970×	`rational.json-3`
968×	`rational.json-4`
952×	`rational.json-simplify-67`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	159
1	99	105
2	394	57
3	2670	57
4	7564	57

Stop Event

1×	node limit

Counts

3 → 438

Calls

Call 1

Inputs

(-.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v)))))

(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))))

(*.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta_i (/.f32 1/4 v)) (/.f32 1/2 cosTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/2 (neg.f32 cosTheta_i)) (neg.f32 (/.f32 v cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 1/4 v)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -2)) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) -3/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O -1/2)) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/2 (neg.f32 (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 cosTheta_i 1/2)) (neg.f32 (/.f32 v cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 cosTheta_i 1/2)) (*.f32 (/.f32 1 cosTheta_O) (neg.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i 1/2))) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i 1/2)) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 0 (*.f32 cosTheta_O 1/2)) (*.f32 cosTheta_O (*.f32 cosTheta_i 1/2))) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (neg.f32 cosTheta_i) (*.f32 2 (/.f32 v cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) -1/2) (/.f32 1 cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -2)) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) -3/2)))))))

simplify223.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1370×	`rational.json-simplify-24`
658×	`rational.json-simplify-41`
646×	`rational.json-simplify-13`
620×	`rational.json-simplify-28`
552×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	704	24854
1	2342	14426

Stop Event

1×	node limit

Counts

546 → 485

Calls

Call 1

Inputs
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 -1 (.f32 cosTheta_i (-.f32 (.f32 -2 (/.f32 cosTheta_O v)) (+.f32 (.f32 -1/2 (/.f32 cosTheta_O v)) (*.f32 -1 (/.f32 cosTheta_O v))))))
(.f32 -1 (.f32 cosTheta_i (-.f32 (.f32 -2 (/.f32 cosTheta_O v)) (+.f32 (.f32 -1/2 (/.f32 cosTheta_O v)) (*.f32 -1 (/.f32 cosTheta_O v))))))
(.f32 -1 (.f32 cosTheta_i (-.f32 (.f32 -2 (/.f32 cosTheta_O v)) (+.f32 (.f32 -1/2 (/.f32 cosTheta_O v)) (*.f32 -1 (/.f32 cosTheta_O v))))))
(.f32 -1 (.f32 cosTheta_i (-.f32 (.f32 -2 (/.f32 cosTheta_O v)) (+.f32 (.f32 -1/2 (/.f32 cosTheta_O v)) (*.f32 -1 (/.f32 cosTheta_O v))))))
(.f32 (-.f32 (.f32 2 (/.f32 cosTheta_i v)) (+.f32 (/.f32 cosTheta_i v) (*.f32 1/2 (/.f32 cosTheta_i v)))) cosTheta_O)
(.f32 (-.f32 (.f32 2 (/.f32 cosTheta_i v)) (+.f32 (/.f32 cosTheta_i v) (*.f32 1/2 (/.f32 cosTheta_i v)))) cosTheta_O)
(.f32 (-.f32 (.f32 2 (/.f32 cosTheta_i v)) (+.f32 (/.f32 cosTheta_i v) (*.f32 1/2 (/.f32 cosTheta_i v)))) cosTheta_O)
(.f32 (-.f32 (.f32 2 (/.f32 cosTheta_i v)) (+.f32 (/.f32 cosTheta_i v) (*.f32 1/2 (/.f32 cosTheta_i v)))) cosTheta_O)
(.f32 (-.f32 (.f32 2 (/.f32 cosTheta_i v)) (+.f32 (/.f32 cosTheta_i v) (*.f32 1/2 (/.f32 cosTheta_i v)))) cosTheta_O)
(.f32 (-.f32 (.f32 2 (/.f32 cosTheta_i v)) (+.f32 (/.f32 cosTheta_i v) (*.f32 1/2 (/.f32 cosTheta_i v)))) cosTheta_O)
(.f32 (-.f32 (.f32 2 (/.f32 cosTheta_i v)) (+.f32 (/.f32 cosTheta_i v) (*.f32 1/2 (/.f32 cosTheta_i v)))) cosTheta_O)
(.f32 (-.f32 (.f32 2 (/.f32 cosTheta_i v)) (+.f32 (/.f32 cosTheta_i v) (*.f32 1/2 (/.f32 cosTheta_i v)))) cosTheta_O)
(.f32 -1 (.f32 (-.f32 (.f32 -2 (/.f32 cosTheta_i v)) (+.f32 (.f32 -1/2 (/.f32 cosTheta_i v)) (*.f32 -1 (/.f32 cosTheta_i v)))) cosTheta_O))
(.f32 -1 (.f32 (-.f32 (.f32 -2 (/.f32 cosTheta_i v)) (+.f32 (.f32 -1/2 (/.f32 cosTheta_i v)) (*.f32 -1 (/.f32 cosTheta_i v)))) cosTheta_O))
(.f32 -1 (.f32 (-.f32 (.f32 -2 (/.f32 cosTheta_i v)) (+.f32 (.f32 -1/2 (/.f32 cosTheta_i v)) (*.f32 -1 (/.f32 cosTheta_i v)))) cosTheta_O))
(.f32 -1 (.f32 (-.f32 (.f32 -2 (/.f32 cosTheta_i v)) (+.f32 (.f32 -1/2 (/.f32 cosTheta_i v)) (*.f32 -1 (/.f32 cosTheta_i v)))) cosTheta_O))
(/.f32 (-.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O)))) v)
(/.f32 (-.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O)))) v)
(/.f32 (-.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O)))) v)
(/.f32 (-.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O)))) v)
(/.f32 (-.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O)))) v)
(/.f32 (-.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O)))) v)
(/.f32 (-.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O)))) v)
(/.f32 (-.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O)))) v)
(.f32 -1 (/.f32 (-.f32 (.f32 -2 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 -1 (.f32 cosTheta_i cosTheta_O)) (.f32 -1/2 (*.f32 cosTheta_i cosTheta_O)))) v))
(.f32 -1 (/.f32 (-.f32 (.f32 -2 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 -1 (.f32 cosTheta_i cosTheta_O)) (.f32 -1/2 (*.f32 cosTheta_i cosTheta_O)))) v))
(.f32 -1 (/.f32 (-.f32 (.f32 -2 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 -1 (.f32 cosTheta_i cosTheta_O)) (.f32 -1/2 (*.f32 cosTheta_i cosTheta_O)))) v))
(.f32 -1 (/.f32 (-.f32 (.f32 -2 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 -1 (.f32 cosTheta_i cosTheta_O)) (.f32 -1/2 (*.f32 cosTheta_i cosTheta_O)))) v))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (.f32 1/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (.f32 1/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (.f32 1/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (.f32 1/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (.f32 1/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (.f32 1/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (.f32 1/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (.f32 1/2 (/.f32 cosTheta_O v))))
(.f32 -1 (.f32 cosTheta_i (+.f32 (.f32 -1/2 (/.f32 cosTheta_O v)) (.f32 -1 (/.f32 cosTheta_O v)))))
(.f32 -1 (.f32 cosTheta_i (+.f32 (.f32 -1/2 (/.f32 cosTheta_O v)) (.f32 -1 (/.f32 cosTheta_O v)))))
(.f32 -1 (.f32 cosTheta_i (+.f32 (.f32 -1/2 (/.f32 cosTheta_O v)) (.f32 -1 (/.f32 cosTheta_O v)))))
(.f32 -1 (.f32 cosTheta_i (+.f32 (.f32 -1/2 (/.f32 cosTheta_O v)) (.f32 -1 (/.f32 cosTheta_O v)))))
(.f32 (+.f32 (/.f32 cosTheta_i v) (.f32 1/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (+.f32 (/.f32 cosTheta_i v) (.f32 1/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (+.f32 (/.f32 cosTheta_i v) (.f32 1/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (+.f32 (/.f32 cosTheta_i v) (.f32 1/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (+.f32 (/.f32 cosTheta_i v) (.f32 1/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (+.f32 (/.f32 cosTheta_i v) (.f32 1/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (+.f32 (/.f32 cosTheta_i v) (.f32 1/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (+.f32 (/.f32 cosTheta_i v) (.f32 1/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 -1 (.f32 (+.f32 (.f32 -1/2 (/.f32 cosTheta_i v)) (.f32 -1 (/.f32 cosTheta_i v))) cosTheta_O))
(.f32 -1 (.f32 (+.f32 (.f32 -1/2 (/.f32 cosTheta_i v)) (.f32 -1 (/.f32 cosTheta_i v))) cosTheta_O))
(.f32 -1 (.f32 (+.f32 (.f32 -1/2 (/.f32 cosTheta_i v)) (.f32 -1 (/.f32 cosTheta_i v))) cosTheta_O))
(.f32 -1 (.f32 (+.f32 (.f32 -1/2 (/.f32 cosTheta_i v)) (.f32 -1 (/.f32 cosTheta_i v))) cosTheta_O))
(/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 1/2 (*.f32 cosTheta_i cosTheta_O))) v)
(.f32 -1 (/.f32 (+.f32 (.f32 -1 (.f32 cosTheta_i cosTheta_O)) (.f32 -1/2 (*.f32 cosTheta_i cosTheta_O))) v))
(.f32 -1 (/.f32 (+.f32 (.f32 -1 (.f32 cosTheta_i cosTheta_O)) (.f32 -1/2 (*.f32 cosTheta_i cosTheta_O))) v))
(.f32 -1 (/.f32 (+.f32 (.f32 -1 (.f32 cosTheta_i cosTheta_O)) (.f32 -1/2 (*.f32 cosTheta_i cosTheta_O))) v))
(.f32 -1 (/.f32 (+.f32 (.f32 -1 (.f32 cosTheta_i cosTheta_O)) (.f32 -1/2 (*.f32 cosTheta_i cosTheta_O))) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
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(neg.f32 (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -2)) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) -3/2)))

Outputs
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
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(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 1/2 (/.f32 cosTheta_O v)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
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(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
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(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
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(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (*.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 1 cosTheta_i))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
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(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
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(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
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(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 1 (/.f32 -1 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -1/2))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 1 (/.f32 (*.f32 2 (/.f32 v cosTheta_O)) cosTheta_i))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 1 (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) 1/2))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 1 (/.f32 (/.f32 1 cosTheta_i) (*.f32 cosTheta_O (/.f32 1/2 v))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))
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(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
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(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (*.f32 cosTheta_O 1/2) (/.f32 v cosTheta_i))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 -1 (/.f32 v (neg.f32 (.f32 cosTheta_O (.f32 cosTheta_i 1/2)))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -1/2)) -1)
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (*.f32 (/.f32 cosTheta_O v) -1/2) (neg.f32 (/.f32 1 cosTheta_i)))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (neg.f32 cosTheta_O) (/.f32 v (neg.f32 (*.f32 cosTheta_i 1/2))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
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(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 0 (.f32 cosTheta_O 1/2)) (.f32 2 (/.f32 v cosTheta_O))))
(/.f32 cosTheta_i (-.f32 (/.f32 2 (/.f32 cosTheta_O v)) (/.f32 0 cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (-.f32 (*.f32 v 2) 0) cosTheta_O))
(/.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (/.f32 0 cosTheta_O) 1/2) (*.f32 2 (/.f32 v cosTheta_O))))
(/.f32 cosTheta_i (-.f32 (/.f32 2 (/.f32 cosTheta_O v)) (/.f32 0 cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (-.f32 (*.f32 v 2) 0) cosTheta_O))
(/.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 2 (/.f32 v cosTheta_O)) (/.f32 (+.f32 v v) (.f32 cosTheta_O 1/2))))
(/.f32 cosTheta_i (-.f32 (/.f32 (+.f32 v v) (*.f32 cosTheta_O 1/2)) (/.f32 2 (/.f32 cosTheta_O v))))
(/.f32 cosTheta_i (-.f32 (.f32 (/.f32 v cosTheta_O) 4) (.f32 2 (/.f32 v cosTheta_O))))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
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(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (/.f32 cosTheta_i (+.f32 v v)) (/.f32 1 cosTheta_O))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 1/2)) v)
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(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
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(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
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(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) -1/2) (/.f32 1 cosTheta_i)) -1)
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
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(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (*.f32 cosTheta_i (/.f32 1/4 v)) (/.f32 1/2 cosTheta_O))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (*.f32 1/2 (neg.f32 cosTheta_i)) (neg.f32 (/.f32 v cosTheta_O)))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
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(neg.f32 (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -2)) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) -3/2)))
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(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O -1/2)) (neg.f32 v))
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(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
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(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (neg.f32 (*.f32 cosTheta_i 1/2)) (neg.f32 (/.f32 v cosTheta_O)))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (neg.f32 (.f32 cosTheta_i 1/2)) (.f32 (/.f32 1 cosTheta_O) (neg.f32 v)))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (neg.f32 (.f32 cosTheta_O (.f32 cosTheta_i 1/2))) (neg.f32 v))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i 1/2)) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(/.f32 (-.f32 (.f32 0 (.f32 cosTheta_O 1/2)) (.f32 cosTheta_O (.f32 cosTheta_i 1/2))) (neg.f32 v))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(neg.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -1/2)))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(neg.f32 (/.f32 (neg.f32 cosTheta_i) (*.f32 2 (/.f32 v cosTheta_O))))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(neg.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) -1/2) (/.f32 1 cosTheta_i)))
(.f32 cosTheta_i (-.f32 (.f32 2 (/.f32 cosTheta_O v)) (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_O (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))
(neg.f32 (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -2)) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) -3/2)))
(-.f32 (.f32 (/.f32 cosTheta_O v) (.f32 -3/2 cosTheta_i)) (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O -2) v)))

localize99.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 1 (exp.f32 (/.f32 1 v)))
	0.3b	(*.f32 cosTheta_O (/.f32 2 v))
✓	0.4b	(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
✓	0.8b	(exp.f32 (/.f32 1 v))

Compiler

Compiled 91 to 67 computations (26.4% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
0.0ms	v	@	inf	(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
0.0ms	v	@	-inf	(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
0.0ms	v	@	inf	(exp.f32 (/.f32 1 v))
0.0ms	v	@	inf	(/.f32 1 (exp.f32 (/.f32 1 v)))

rewrite104.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational.json-simplify-6`
1136×	`rational.json-simplify-3`
958×	`rational.json-simplify-24`
948×	`rational.json-simplify-13`
908×	`rational.json-simplify-12`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	80	73
2	280	73
3	1518	73

Stop Event

1×	node limit

Counts

3 → 206

Calls

Call 1

Inputs
(exp.f32 (/.f32 1 v))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1 (exp.f32 (/.f32 1 v)))

Outputs

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simplify122.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1168×	`rational.json-simplify-50`
852×	`rational.json-simplify-3`
648×	`rational.json-simplify-2`
644×	`rational.json-simplify-12`
596×	`rational.json-simplify-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	411	8034
1	1242	8022
2	7429	8022

Stop Event

1×	node limit

Counts

234 → 239

Calls

Call 1

Inputs
1
(+.f32 1 (/.f32 1 v))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) (+.f32 1 (/.f32 1 v)))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (+.f32 1 (/.f32 1 v))))
1
(+.f32 1 (/.f32 1 v))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) (+.f32 1 (/.f32 1 v)))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (+.f32 1 (/.f32 1 v))))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
1/4
(-.f32 1/4 (*.f32 1/24 (/.f32 1 (pow.f32 v 2))))
(-.f32 (+.f32 1/4 (.f32 7/1440 (/.f32 1 (pow.f32 v 4)))) (.f32 1/24 (/.f32 1 (pow.f32 v 2))))
(-.f32 (+.f32 1/4 (.f32 7/1440 (/.f32 1 (pow.f32 v 4)))) (+.f32 (.f32 31/60480 (/.f32 1 (pow.f32 v 6))) (*.f32 1/24 (/.f32 1 (pow.f32 v 2)))))
1/4
(-.f32 1/4 (*.f32 1/24 (/.f32 1 (pow.f32 v 2))))
(-.f32 (+.f32 1/4 (.f32 7/1440 (/.f32 1 (pow.f32 v 4)))) (.f32 1/24 (/.f32 1 (pow.f32 v 2))))
(-.f32 (+.f32 1/4 (.f32 7/1440 (/.f32 1 (pow.f32 v 4)))) (+.f32 (.f32 31/60480 (/.f32 1 (pow.f32 v 6))) (*.f32 1/24 (/.f32 1 (pow.f32 v 2)))))
1
(-.f32 1 (/.f32 1 v))
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(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
1
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(-.f32 (exp.f32 (/.f32 1 v)) 0)
(-.f32 (exp.f32 (/.f32 1 v)) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 1 v))))
(-.f32 0 (neg.f32 (exp.f32 (/.f32 1 v))))
(-.f32 (*.f32 (exp.f32 (/.f32 1 v)) 2) (exp.f32 (/.f32 1 v)))
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(-.f32 (+.f32 (.f32 (exp.f32 (/.f32 1 v)) 2) (.f32 (exp.f32 (/.f32 1 v)) 2)) (+.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 (/.f32 1 v)) 2)))
(-.f32 (+.f32 (exp.f32 (/.f32 1 v)) (.f32 (exp.f32 (/.f32 1 v)) 2)) (.f32 (exp.f32 (/.f32 1 v)) 2))
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(*.f32 (/.f32 (exp.f32 (/.f32 1 v)) -1/2) -1/2)
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(/.f32 1/2 (/.f32 1/2 (exp.f32 (/.f32 1 v))))
(/.f32 (*.f32 (exp.f32 (/.f32 1 v)) 2) 2)
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(/.f32 (/.f32 (exp.f32 (/.f32 1 v)) 2) 1/2)
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(-.f32 (/.f32 (+.f32 (/.f32 1 v) (/.f32 1/2 v)) (+.f32 (.f32 (exp.f32 (/.f32 1 v)) 2) (/.f32 -2 (exp.f32 (/.f32 1 v))))) (/.f32 1/2 (.f32 v (+.f32 (*.f32 (exp.f32 (/.f32 1 v)) 2) (/.f32 -2 (exp.f32 (/.f32 1 v)))))))
(-.f32 (/.f32 (+.f32 (/.f32 2 v) (/.f32 2 v)) (+.f32 (.f32 (exp.f32 (/.f32 1 v)) 2) (/.f32 -2 (exp.f32 (/.f32 1 v))))) (/.f32 (-.f32 (/.f32 2 v) (/.f32 -1 v)) (+.f32 (.f32 (exp.f32 (/.f32 1 v)) 2) (/.f32 -2 (exp.f32 (/.f32 1 v))))))
(-.f32 (/.f32 (/.f32 2 v) (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (/.f32 (+.f32 (/.f32 1 v) (/.f32 1/2 v)) (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))))
(-.f32 (/.f32 (+.f32 (/.f32 1 v) (/.f32 1/2 v)) (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (/.f32 1 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v))))))
(-.f32 (/.f32 (/.f32 0 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) -1) (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v))))))
(-.f32 (/.f32 0 (.f32 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v)))) -2)) (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (.f32 v (exp.f32 (/.f32 1 v))))))
(-.f32 (/.f32 0 (-.f32 (/.f32 2 (exp.f32 (/.f32 1 v))) (.f32 (exp.f32 (/.f32 1 v)) 2))) (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (.f32 v (exp.f32 (/.f32 1 v))))))
(-.f32 (/.f32 0 (neg.f32 v)) (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v))))))
(.f32 1 (/.f32 1/2 (-.f32 (.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v))))))
(*.f32 (/.f32 1 v) (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))))
(.f32 (/.f32 1 v) (.f32 (/.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) -1/2))
(.f32 (/.f32 1 v) (.f32 (+.f32 (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v))))) -1/2))
(.f32 1/2 (/.f32 1 (-.f32 (.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v))))))
(.f32 1/2 (.f32 (/.f32 -1 v) (/.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v))))))
(.f32 1/2 (.f32 (/.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 -1 v)))
(.f32 1/2 (.f32 (+.f32 (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v))))) (/.f32 -1 v)))
(*.f32 (/.f32 1/2 v) (/.f32 1 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))))
(.f32 (/.f32 1/2 v) (.f32 1/2 (+.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (/.f32 1 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))))))
(.f32 (/.f32 1/2 v) (.f32 (/.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) -1))
(.f32 (/.f32 1/2 v) (.f32 (+.f32 (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v))))) -1))
(.f32 (/.f32 1/2 (-.f32 (.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v))))) 1)
(*.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (/.f32 1 v))
(.f32 (/.f32 -1/2 v) (.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) -2))
(*.f32 (/.f32 -1/2 v) (/.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))))
(*.f32 (/.f32 -1/2 v) (+.f32 (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v))))))
(.f32 (/.f32 -1/2 v) (.f32 1 (/.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v))))))
(.f32 2 (.f32 (/.f32 1/2 v) (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v)))))))
(.f32 2 (/.f32 1/2 (.f32 v (+.f32 (*.f32 (exp.f32 (/.f32 1 v)) 2) (/.f32 -2 (exp.f32 (/.f32 1 v)))))))
(.f32 2 (.f32 1 (/.f32 1/2 (.f32 v (+.f32 (.f32 (exp.f32 (/.f32 1 v)) 2) (/.f32 -2 (exp.f32 (/.f32 1 v))))))))
(.f32 2 (.f32 (/.f32 1 v) (/.f32 1/2 (+.f32 (*.f32 (exp.f32 (/.f32 1 v)) 2) (/.f32 -2 (exp.f32 (/.f32 1 v)))))))
(.f32 2 (.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (/.f32 1 (/.f32 v 1/4))))
(.f32 -1 (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (.f32 v (exp.f32 (/.f32 1 v))))))
(.f32 -1 (.f32 (/.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 1/2 v)))
(.f32 -1 (.f32 (+.f32 (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v))))) (/.f32 1/2 v)))
(.f32 (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (.f32 v (exp.f32 (/.f32 1 v))))) -1)
(*.f32 (/.f32 -1 v) (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))))
(.f32 (/.f32 -1 v) (.f32 (/.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) 1/2))
(.f32 (/.f32 -1 v) (.f32 (+.f32 (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v))))) 1/2))
(*.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (/.f32 1/2 v))
(.f32 -2 (.f32 1/2 (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v)))))))
(.f32 -2 (.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (*.f32 (/.f32 1 v) -1/4)))
(*.f32 (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 -1 v))
(.f32 -1/2 (.f32 (/.f32 1 v) (/.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v))))))
(.f32 -1/2 (.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (/.f32 -1 v)))
(.f32 (/.f32 1 (-.f32 (.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v))))) 1/2)
(.f32 (/.f32 2 v) (.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) 1/2))
(.f32 (/.f32 2 v) (/.f32 1/2 (+.f32 (.f32 (exp.f32 (/.f32 1 v)) 2) (/.f32 -2 (exp.f32 (/.f32 1 v))))))
(.f32 (/.f32 2 v) (.f32 1 (*.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) 1/2)))
(.f32 (/.f32 2 v) (.f32 1 (/.f32 1/2 (+.f32 (*.f32 (exp.f32 (/.f32 1 v)) 2) (/.f32 -2 (exp.f32 (/.f32 1 v)))))))
(.f32 (/.f32 2 v) (.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) 1/4))
(*.f32 (/.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 -1/2 v))
(.f32 4 (.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (/.f32 1 (/.f32 v 1/4))))
(.f32 (+.f32 (/.f32 -1 v) (/.f32 -1 v)) (.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) -1/2))
(.f32 (+.f32 (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (.f32 v (exp.f32 (/.f32 1 v))))) (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v)))))) -1/2)
(*.f32 (+.f32 (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v))))) (/.f32 -1/2 v))
(neg.f32 (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v))))))
(+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) 0)
(+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (+.f32 0 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (-.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v))) (/.f32 1/2 (exp.f32 (/.f32 1 v)))))
(+.f32 0 (/.f32 1 (exp.f32 (/.f32 1 v))))
(+.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v))) (/.f32 1/2 (exp.f32 (/.f32 1 v))))
(+.f32 (/.f32 -1 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v))))
(+.f32 (/.f32 2 (exp.f32 (/.f32 1 v))) (/.f32 -1 (exp.f32 (/.f32 1 v))))
(+.f32 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 1 (exp.f32 (/.f32 1 v))))
(+.f32 (+.f32 (/.f32 2 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v)))) (-.f32 0 (+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v))))))
(-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) 0)
(-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(-.f32 0 (/.f32 -1 (exp.f32 (/.f32 1 v))))
(-.f32 (/.f32 -1 (exp.f32 (/.f32 1 v))) (/.f32 -2 (exp.f32 (/.f32 1 v))))
(-.f32 (/.f32 2 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v))))
(-.f32 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 -1 (exp.f32 (/.f32 1 v))))
(-.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v)))) (/.f32 2 (exp.f32 (/.f32 1 v))))
(-.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v)))) (-.f32 (+.f32 (/.f32 2 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v)))) (/.f32 2 (exp.f32 (/.f32 1 v)))))
(-.f32 (+.f32 (/.f32 2 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v)))) (+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v)))))
(-.f32 (+.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 1/2 (exp.f32 (/.f32 1 v))))
(*.f32 1 (/.f32 1 (exp.f32 (/.f32 1 v))))
(*.f32 1/2 (/.f32 2 (exp.f32 (/.f32 1 v))))
(*.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) 1)
(*.f32 2 (/.f32 1/2 (exp.f32 (/.f32 1 v))))
(*.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v))) 2)
(*.f32 (/.f32 -1 (exp.f32 (/.f32 1 v))) -1)
(*.f32 -1 (/.f32 -1 (exp.f32 (/.f32 1 v))))
(.f32 -1 (.f32 2 (neg.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v))))))
(.f32 -1 (.f32 2 (/.f32 1/2 (neg.f32 (exp.f32 (/.f32 1 v))))))
(*.f32 -2 (neg.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v)))))
(*.f32 -2 (/.f32 1/2 (neg.f32 (exp.f32 (/.f32 1 v)))))
(.f32 -2 (.f32 1 (neg.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v))))))
(.f32 -2 (.f32 1 (/.f32 1/2 (neg.f32 (exp.f32 (/.f32 1 v))))))
(.f32 -1/2 (.f32 2 (/.f32 -1 (exp.f32 (/.f32 1 v)))))
(*.f32 (/.f32 2 (exp.f32 (/.f32 1 v))) 1/2)
(*.f32 (/.f32 -2 (exp.f32 (/.f32 1 v))) -1/2)
(.f32 4 (/.f32 1/2 (.f32 (exp.f32 (/.f32 1 v)) 2)))
(.f32 4 (.f32 1 (/.f32 1/2 (*.f32 (exp.f32 (/.f32 1 v)) 2))))
(neg.f32 (/.f32 -1 (exp.f32 (/.f32 1 v))))

Outputs
1
(+.f32 1 (/.f32 1 v))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) (+.f32 1 (/.f32 1 v)))
(+.f32 1 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (/.f32 1 v)))
(+.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/2 (pow.f32 v 2))))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (+.f32 1 (/.f32 1 v))))
(+.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (+.f32 1 (/.f32 1 v))))
(+.f32 1 (+.f32 (/.f32 1/6 (pow.f32 v 3)) (+.f32 (/.f32 1 v) (/.f32 1/2 (pow.f32 v 2)))))
1
(+.f32 1 (/.f32 1 v))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) (+.f32 1 (/.f32 1 v)))
(+.f32 1 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (/.f32 1 v)))
(+.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/2 (pow.f32 v 2))))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (+.f32 1 (/.f32 1 v))))
(+.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (+.f32 1 (/.f32 1 v))))
(+.f32 1 (+.f32 (/.f32 1/6 (pow.f32 v 3)) (+.f32 (/.f32 1 v) (/.f32 1/2 (pow.f32 v 2)))))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
1/4
(-.f32 1/4 (*.f32 1/24 (/.f32 1 (pow.f32 v 2))))
(-.f32 1/4 (/.f32 1/24 (pow.f32 v 2)))
(-.f32 (+.f32 1/4 (.f32 7/1440 (/.f32 1 (pow.f32 v 4)))) (.f32 1/24 (/.f32 1 (pow.f32 v 2))))
(-.f32 (+.f32 1/4 (/.f32 7/1440 (pow.f32 v 4))) (/.f32 1/24 (pow.f32 v 2)))
(-.f32 (+.f32 1/4 (.f32 7/1440 (/.f32 1 (pow.f32 v 4)))) (+.f32 (.f32 31/60480 (/.f32 1 (pow.f32 v 6))) (*.f32 1/24 (/.f32 1 (pow.f32 v 2)))))
(-.f32 (+.f32 1/4 (/.f32 7/1440 (pow.f32 v 4))) (+.f32 (/.f32 1/24 (pow.f32 v 2)) (/.f32 31/60480 (pow.f32 v 6))))
(+.f32 (/.f32 7/1440 (pow.f32 v 4)) (-.f32 1/4 (+.f32 (/.f32 1/24 (pow.f32 v 2)) (/.f32 31/60480 (pow.f32 v 6)))))
1/4
(-.f32 1/4 (*.f32 1/24 (/.f32 1 (pow.f32 v 2))))
(-.f32 1/4 (/.f32 1/24 (pow.f32 v 2)))
(-.f32 (+.f32 1/4 (.f32 7/1440 (/.f32 1 (pow.f32 v 4)))) (.f32 1/24 (/.f32 1 (pow.f32 v 2))))
(-.f32 (+.f32 1/4 (/.f32 7/1440 (pow.f32 v 4))) (/.f32 1/24 (pow.f32 v 2)))
(-.f32 (+.f32 1/4 (.f32 7/1440 (/.f32 1 (pow.f32 v 4)))) (+.f32 (.f32 31/60480 (/.f32 1 (pow.f32 v 6))) (*.f32 1/24 (/.f32 1 (pow.f32 v 2)))))
(-.f32 (+.f32 1/4 (/.f32 7/1440 (pow.f32 v 4))) (+.f32 (/.f32 1/24 (pow.f32 v 2)) (/.f32 31/60480 (pow.f32 v 6))))
(+.f32 (/.f32 7/1440 (pow.f32 v 4)) (-.f32 1/4 (+.f32 (/.f32 1/24 (pow.f32 v 2)) (/.f32 31/60480 (pow.f32 v 6)))))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(+.f32 (/.f32 1/2 (pow.f32 v 2)) (-.f32 1 (/.f32 1 v)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(-.f32 (+.f32 1 (/.f32 1/2 (pow.f32 v 2))) (+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3))))
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(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(.f32 (/.f32 -1 v) (.f32 (+.f32 (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v))))) 1/2))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(*.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (/.f32 1/2 v))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(.f32 -2 (.f32 1/2 (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v)))))))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(.f32 -2 (.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (*.f32 (/.f32 1 v) -1/4)))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(*.f32 (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 -1 v))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(.f32 -1/2 (.f32 (/.f32 1 v) (/.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v))))))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(.f32 -1/2 (.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (/.f32 -1 v)))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(.f32 (/.f32 1 (-.f32 (.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v))))) 1/2)
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(.f32 (/.f32 2 v) (.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) 1/2))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(.f32 (/.f32 2 v) (/.f32 1/2 (+.f32 (.f32 (exp.f32 (/.f32 1 v)) 2) (/.f32 -2 (exp.f32 (/.f32 1 v))))))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(.f32 (/.f32 2 v) (.f32 1 (*.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) 1/2)))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(.f32 (/.f32 2 v) (.f32 1 (/.f32 1/2 (+.f32 (*.f32 (exp.f32 (/.f32 1 v)) 2) (/.f32 -2 (exp.f32 (/.f32 1 v)))))))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(.f32 (/.f32 2 v) (.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) 1/4))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(*.f32 (/.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 -1/2 v))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(.f32 4 (.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (/.f32 1 (/.f32 v 1/4))))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(.f32 (+.f32 (/.f32 -1 v) (/.f32 -1 v)) (.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) -1/2))
(.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))) (.f32 (/.f32 -2 v) -1/2))
(*.f32 (/.f32 -2 v) (/.f32 -1/4 (+.f32 (exp.f32 (/.f32 1 v)) (/.f32 -1 (exp.f32 (/.f32 1 v))))))
(.f32 (+.f32 (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (.f32 v (exp.f32 (/.f32 1 v))))) (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v)))))) -1/2)
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(*.f32 (+.f32 (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v)))) (/.f32 1/2 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (exp.f32 (/.f32 1 v))))) (/.f32 -1/2 v))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(neg.f32 (/.f32 1/2 (-.f32 (/.f32 v (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v))))))
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (/.f32 1 v)))))
(+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) 0)
(/.f32 1 (exp.f32 (/.f32 1 v)))
(+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (+.f32 0 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (-.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v))) (/.f32 1/2 (exp.f32 (/.f32 1 v)))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(+.f32 0 (/.f32 1 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(+.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v))) (/.f32 1/2 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(+.f32 (/.f32 -1 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(+.f32 (/.f32 2 (exp.f32 (/.f32 1 v))) (/.f32 -1 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(+.f32 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 1 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(+.f32 (+.f32 (/.f32 2 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v)))) (-.f32 0 (+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v))))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) 0)
(/.f32 1 (exp.f32 (/.f32 1 v)))
(-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(-.f32 0 (/.f32 -1 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(-.f32 (/.f32 -1 (exp.f32 (/.f32 1 v))) (/.f32 -2 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(-.f32 (/.f32 2 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(-.f32 (-.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 -1 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(-.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v)))) (/.f32 2 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(-.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v)))) (-.f32 (+.f32 (/.f32 2 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v)))) (/.f32 2 (exp.f32 (/.f32 1 v)))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(-.f32 (+.f32 (/.f32 2 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v)))) (+.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) (/.f32 2 (exp.f32 (/.f32 1 v)))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(-.f32 (+.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v))) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 1/2 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(*.f32 1 (/.f32 1 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 2 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(*.f32 (/.f32 1 (exp.f32 (/.f32 1 v))) 1)
(/.f32 1 (exp.f32 (/.f32 1 v)))
(*.f32 2 (/.f32 1/2 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(*.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v))) 2)
(/.f32 1 (exp.f32 (/.f32 1 v)))
(*.f32 (/.f32 -1 (exp.f32 (/.f32 1 v))) -1)
(/.f32 1 (exp.f32 (/.f32 1 v)))
(*.f32 -1 (/.f32 -1 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(.f32 -1 (.f32 2 (neg.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v))))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(.f32 -1 (.f32 2 (/.f32 1/2 (neg.f32 (exp.f32 (/.f32 1 v))))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(*.f32 -2 (neg.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v)))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(*.f32 -2 (/.f32 1/2 (neg.f32 (exp.f32 (/.f32 1 v)))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(.f32 -2 (.f32 1 (neg.f32 (/.f32 1/2 (exp.f32 (/.f32 1 v))))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(.f32 -2 (.f32 1 (/.f32 1/2 (neg.f32 (exp.f32 (/.f32 1 v))))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(.f32 -1/2 (.f32 2 (/.f32 -1 (exp.f32 (/.f32 1 v)))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(*.f32 (/.f32 2 (exp.f32 (/.f32 1 v))) 1/2)
(/.f32 1 (exp.f32 (/.f32 1 v)))
(*.f32 (/.f32 -2 (exp.f32 (/.f32 1 v))) -1/2)
(/.f32 1 (exp.f32 (/.f32 1 v)))
(.f32 4 (/.f32 1/2 (.f32 (exp.f32 (/.f32 1 v)) 2)))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(.f32 4 (.f32 1 (/.f32 1/2 (*.f32 (exp.f32 (/.f32 1 v)) 2))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(neg.f32 (/.f32 -1 (exp.f32 (/.f32 1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))

eval1.3s (3.7%)

Compiler: Compiled 74040 to 37480 computations (49.4% saved)

prune1.8s (5.2%)

Pruning

172 alts after pruning (170 fresh and 2 done)

	Pruned	Kept	Total
New	3131	114	3245
Fresh	30	56	86
Picked	1	0	1
Done	3	2	5
Total	3165	172	3337

Error

Counts

3337 → 172

Alt Table

Click to see full alt table

Status	Error	Program
	1.3b	(/.f32 (/.f32 (/.f32 (/.f32 1/2 v) (/.f32 (/.f32 1/2 cosTheta_i) (.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)))) 2) (sinh.f32 (/.f32 1 v)))
	0.7b	(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) 2) (sinh.f32 (/.f32 1 v)))
	13.4b	(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (*.f32 cosTheta_i 1/2))) 2) 1/2)
	1.3b	(/.f32 (/.f32 (/.f32 1 (/.f32 -1 (neg.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v (/.f32 cosTheta_i v))))))) 2) (sinh.f32 (/.f32 1 v)))
	13.4b	(/.f32 (/.f32 (/.f32 1/2 v) (/.f32 2 cosTheta_O)) (/.f32 1/2 cosTheta_i))
	13.4b	(/.f32 (/.f32 (-.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_i (*.f32 cosTheta_O 3/2))) (+.f32 v v)) 1/2)
	13.4b	(/.f32 (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O 3/2)) (*.f32 cosTheta_i cosTheta_O)) (+.f32 v v)) 1/2)
	13.4b	(/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) (.f32 (*.f32 cosTheta_O cosTheta_i) 3/2)) (+.f32 v v)) 1/2)
	14.4b	(/.f32 (/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O 2)))) (+.f32 v v)) 1/2)
	14.6b	(/.f32 (/.f32 (-.f32 cosTheta_O (-.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 cosTheta_O 2)))) (+.f32 v v)) 1/2)
✓	0.4b	(/.f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1/2 cosTheta_O)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	11.3b	(/.f32 (/.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i))) 2) (sinh.f32 (/.f32 1 v)))
	0.7b	(/.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) 2) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	0.4b	(/.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 cosTheta_O (/.f32 2 v)) cosTheta_i) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	0.4b	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	13.4b	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) (+.f32 v v)) 1/2)
	13.4b	(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
	0.7b	(/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) 2) (sinh.f32 (/.f32 1 v)))
	13.4b	(/.f32 (/.f32 (*.f32 cosTheta_O -1/2) (/.f32 1 cosTheta_i)) (neg.f32 v))
	13.4b	(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) 2) (/.f32 1/2 (/.f32 cosTheta_O v)))
	13.4b	(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
	13.4b	(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
	2.6b	(/.f32 (/.f32 1 v) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (.f32 cosTheta_i cosTheta_O)))
	2.6b	(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
	2.4b	(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (/.f32 (/.f32 1 cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v)))))
	2.6b	(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))))
	13.2b	(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))
	2.6b	(/.f32 (/.f32 1 v) (*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
	2.5b	(/.f32 (/.f32 1 v) (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
	13.2b	(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))
	13.4b	(/.f32 (-.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) 3/2) (-.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) 2) (.f32 1/2 (.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 3/2)))) 1/2)
	13.4b	(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 cosTheta_i v)) (/.f32 -1 cosTheta_O))
	13.3b	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 cosTheta_i cosTheta_O) 1/2)) v)
	13.3b	(/.f32 (-.f32 (.f32 -1/2 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O))) (.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) 1/2)) (neg.f32 v))
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	13.4b	(+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 4)) (neg.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 7/2))))
	13.4b	(+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
	13.4b	(+.f32 (.f32 2 (.f32 (.f32 cosTheta_i 4) (/.f32 cosTheta_O v))) (.f32 (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2)) (neg.f32 cosTheta_i)))
	13.4b	(+.f32 0 (.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 4) (*.f32 (/.f32 cosTheta_O v) 7/2))))
	0.4b	(.f32 (/.f32 (/.f32 1 v) (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) 2)))
	0.8b	(.f32 (/.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 1 v)) 4))) v) 2)
	1.5b	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
	0.5b	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))))
	0.4b	(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v)) (.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 (/.f32 cosTheta_i 2) (sinh.f32 (/.f32 1 v)))))
	0.5b	(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v)) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 1 v)))))
	0.5b	(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 v (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 1/2 v))))
	13.4b	(.f32 (/.f32 cosTheta_i v) (-.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_O 3/2)))
▶	0.4b	(.f32 (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))))
	0.4b	(.f32 (/.f32 1 (sinh.f32 (/.f32 1 v))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v))))
	13.4b	(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
	0.4b	(.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 -1 v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (neg.f32 v)))))
	13.4b	(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
	1.6b	(.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (/.f32 v 2))))
	13.4b	(.f32 (-.f32 (.f32 2 (/.f32 cosTheta_i v)) (+.f32 (/.f32 cosTheta_i v) (*.f32 1/2 (/.f32 cosTheta_i v)))) cosTheta_O)
	13.4b	(.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i (+.f32 v v)) (.f32 cosTheta_i (/.f32 1/4 v))))
	13.4b	(.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i (/.f32 1/4 v)))
	0.4b	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i cosTheta_O))
	0.5b	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
	0.4b	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) cosTheta_i) (/.f32 cosTheta_O (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))
	0.4b	(.f32 (.f32 cosTheta_i (/.f32 (/.f32 2 v) (/.f32 1 cosTheta_O))) (/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
	0.6b	(.f32 (.f32 cosTheta_i (-.f32 (+.f32 (/.f32 4 (/.f32 v cosTheta_O)) (/.f32 4 (/.f32 v cosTheta_O))) (+.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 4 (/.f32 v cosTheta_O))))) (/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
	8.5b	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (/.f32 1 v))))))
▶	10.0b	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
	0.6b	(.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) (/.f32 1/2 (-.f32 (.f32 (exp.f32 (/.f32 1 v)) v) (/.f32 v (exp.f32 (/.f32 1 v))))))
	12.3b	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (-.f32 (+.f32 1/4 (/.f32 7/1440 (pow.f32 v 4))) (/.f32 1/24 (pow.f32 v 2))))
	13.8b	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (-.f32 1/4 (/.f32 1/24 (pow.f32 v 2))))
	13.8b	(.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) (-.f32 1/4 (.f32 1/24 (/.f32 1 (pow.f32 v 2)))))
	13.4b	(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
	13.4b	(.f32 (.f32 cosTheta_O (/.f32 1/4 v)) (-.f32 (*.f32 cosTheta_i 3) cosTheta_i))
	13.4b	(.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 cosTheta_O v) 3/2)))
	13.4b	(.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 cosTheta_O (/.f32 v 2))))
	0.5b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 1 v))) (/.f32 1 (/.f32 1/2 v))))
	0.5b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (.f32 (.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) v))
	11.5b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (+.f32 (.f32 v (/.f32 2 cosTheta_O)) (/.f32 1/3 (.f32 v cosTheta_O)))))
	0.6b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (-.f32 (.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 2 v)) 2) (.f32 (/.f32 (/.f32 cosTheta_i v) v) 3))))
	0.4b	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))))))
	13.4b	(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
	14.4b	(.f32 1/2 (/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (.f32 cosTheta_i cosTheta_O))) v))
	13.4b	(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
▶	13.4b	(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
	13.4b	(.f32 1/2 (-.f32 (.f32 (/.f32 2 v) (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i (/.f32 cosTheta_O v))))
	13.4b	(.f32 1/2 (-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) 2) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))))
	14.5b	(*.f32 1/2 (-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
	14.4b	(*.f32 1/2 (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i)))
	13.4b	(.f32 1/2 (.f32 cosTheta_i (-.f32 (*.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v))))

Compiler

Compiled 8895 to 6014 computations (32.4% saved)

localize77.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
✓	0.3b	(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
✓	0.4b	(/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))
	0.8b	(sinh.f32 (/.f32 1 v))

Compiler

Compiled 101 to 41 computations (59.4% saved)

series6.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
1.0ms	cosTheta_i	@	0	(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
1.0ms	cosTheta_i	@	-inf	(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
0.0ms	cosTheta_i	@	inf	(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
0.0ms	v	@	inf	(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))

rewrite76.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`rational.json-simplify-33`
1104×	`rational.json-1`
1104×	`rational.json-2`
1104×	`rational.json-3`
1102×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
1	111	69
2	429	69
3	2701	69

Stop Event

1×	node limit

Counts

3 → 372

Calls

Call 1

Inputs
(/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 0 v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 0 (sinh.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 0 (*.f32 v (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (neg.f32 (/.f32 0 (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 0 (*.f32 (sinh.f32 (/.f32 1 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 -1 (/.f32 v 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 -1 (/.f32 (sinh.f32 (/.f32 1 v)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 v) (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))) (/.f32 1 (*.f32 v (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v))))) (*.f32 1/2 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 0 (sinh.f32 (/.f32 1 v)))) (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 (*.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 1/2 v) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (*.f32 (/.f32 1/2 v) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 0 v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 0 (sinh.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 0 (*.f32 v (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (neg.f32 (/.f32 0 (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 0 (*.f32 (sinh.f32 (/.f32 1 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 1 (/.f32 (neg.f32 v) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 1 (/.f32 (neg.f32 (sinh.f32 (/.f32 1 v))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (/.f32 1 (neg.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (/.f32 1 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (/.f32 1 (/.f32 v (/.f32 -1/2 (sinh.f32 (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (/.f32 1 (*.f32 v (sinh.f32 (/.f32 1 v)))) 2) (*.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (/.f32 0 (sinh.f32 (/.f32 1 v)))) (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (/.f32 1 (*.f32 v (sinh.f32 (/.f32 1 v)))) 2) (*.f32 (/.f32 1 (*.f32 v (sinh.f32 (/.f32 1 v)))) 2)) (+.f32 (*.f32 (/.f32 1 (*.f32 v (sinh.f32 (/.f32 1 v)))) 2) (*.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 1 (*.f32 v (sinh.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 v) (/.f32 1 (sinh.f32 (/.f32 1 v))))))) (#(struct:change #<rule 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simplify122.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1096×	`rational.json-simplify-24`
894×	`rational.json-simplify-41`
634×	`rational.json-simplify-28`
610×	`rational.json-simplify-13`
488×	`rational.json-simplify-14`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	773	13242
1	2612	12726

Stop Event

1×	node limit

Counts

444 → 511

Calls

Call 1

Inputs
(/.f32 1 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 1 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 1 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
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(-.f32 (/.f32 0 (.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 1 (/.f32 v (neg.f32 (.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))))))))
(-.f32 (-.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_i (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v)))))
(-.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 1 v)))) (.f32 1/2 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 1 v))))))
(-.f32 (.f32 0 (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v)))))
(-.f32 (.f32 0 (neg.f32 cosTheta_i)) (.f32 cosTheta_i (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v)))))
(-.f32 (.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 1 v)))) 2) (.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 1 v)))) 3/2))
(-.f32 (+.f32 (-.f32 cosTheta_i cosTheta_i) (-.f32 cosTheta_i cosTheta_i)) (+.f32 (-.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_i (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))))))
(-.f32 (+.f32 (/.f32 0 (.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 0 (.f32 v (sinh.f32 (/.f32 1 v))))) (*.f32 cosTheta_i (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v)))))
(-.f32 (+.f32 (.f32 0 (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v)))) (.f32 0 (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))))) (+.f32 (.f32 0 (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))))))
(-.f32 (+.f32 (.f32 0 (neg.f32 cosTheta_i)) (.f32 0 (neg.f32 cosTheta_i))) (+.f32 (.f32 0 (neg.f32 cosTheta_i)) (.f32 cosTheta_i (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))))))
(-.f32 (+.f32 (.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 1 v)))) 2) (.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 1 v)))) 2)) (+.f32 (.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 1 v)))) 2) (.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 1 v)))) 3/2)))
(/.f32 1/2 (/.f32 (*.f32 v (sinh.f32 (/.f32 1 v))) cosTheta_i))
(/.f32 1/2 (*.f32 v (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)))
(/.f32 1/2 (.f32 (.f32 v (sinh.f32 (/.f32 1 v))) (/.f32 1 cosTheta_i)))
(/.f32 (/.f32 1/2 v) (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i))
(/.f32 1 (/.f32 (sinh.f32 (/.f32 1 v)) (*.f32 (/.f32 1/2 v) cosTheta_i)))
(/.f32 1 (/.f32 (.f32 v (sinh.f32 (/.f32 1 v))) (.f32 1/2 cosTheta_i)))
(/.f32 1 (/.f32 v (*.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))))))
(/.f32 1 (*.f32 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i) (+.f32 v v)))
(/.f32 1 (.f32 (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 1 cosTheta_i)))
(/.f32 1 (/.f32 -1 (*.f32 cosTheta_i (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))))))
(/.f32 (/.f32 1 v) (.f32 (/.f32 1 cosTheta_i) (.f32 (sinh.f32 (/.f32 1 v)) 2)))
(/.f32 (/.f32 1/2 (*.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 1 cosTheta_i))
(/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)))
(/.f32 (.f32 1/2 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 1 v))))) 1)
(/.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (*.f32 v (/.f32 1 cosTheta_i)))
(/.f32 -1 (/.f32 (sinh.f32 (/.f32 1 v)) (*.f32 cosTheta_i (/.f32 -1/2 v))))
(/.f32 -1 (/.f32 v (neg.f32 (*.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))))))
(/.f32 (*.f32 (/.f32 1/2 v) cosTheta_i) (sinh.f32 (/.f32 1 v)))
(/.f32 (neg.f32 cosTheta_i) (neg.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(/.f32 (neg.f32 cosTheta_i) (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -1/2 v)))
(/.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 0 (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(/.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 -1/2 v)) (-.f32 v v)))
(/.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 (+.f32 v v) (/.f32 1/2 (sinh.f32 (/.f32 1 v))))))
(/.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) (/.f32 1/2 v))))
(/.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2)) (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4))))
(/.f32 (*.f32 cosTheta_i (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v)))) -1)
(/.f32 (/.f32 -1/2 v) (/.f32 (sinh.f32 (/.f32 1 v)) (neg.f32 cosTheta_i)))
(/.f32 (/.f32 -1/2 v) (*.f32 (sinh.f32 (/.f32 1 v)) (neg.f32 (/.f32 1 cosTheta_i))))
(/.f32 (/.f32 -1/2 v) (neg.f32 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)))
(/.f32 (/.f32 -1/2 v) (-.f32 (/.f32 0 cosTheta_i) (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)))
(/.f32 (/.f32 -1/2 v) (-.f32 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i) (/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) cosTheta_i)))
(/.f32 (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 1 cosTheta_i)))
(/.f32 (/.f32 1 (sinh.f32 (/.f32 1 v))) (/.f32 v (*.f32 1/2 cosTheta_i)))
(/.f32 (.f32 1/2 cosTheta_i) (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 (*.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) v)
(/.f32 (neg.f32 (*.f32 (/.f32 1/2 v) cosTheta_i)) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (neg.f32 (.f32 (/.f32 1/2 v) cosTheta_i)) (-.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (sinh.f32 (/.f32 1 v))))
(/.f32 (neg.f32 (.f32 (/.f32 1/2 v) cosTheta_i)) (-.f32 (.f32 (sinh.f32 (/.f32 1 v)) 3) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) 2)))
(/.f32 -1/2 (*.f32 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i) (neg.f32 v)))
(/.f32 (/.f32 -1/2 (sinh.f32 (/.f32 1 v))) (*.f32 v (neg.f32 (/.f32 1 cosTheta_i))))
(/.f32 (+.f32 cosTheta_i cosTheta_i) (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)))
(/.f32 (.f32 (/.f32 1 v) cosTheta_i) (.f32 (sinh.f32 (/.f32 1 v)) 2))
(/.f32 (*.f32 (/.f32 1 v) cosTheta_i) (/.f32 1 (/.f32 1/2 (sinh.f32 (/.f32 1 v)))))
(/.f32 (/.f32 (/.f32 -1/2 v) (/.f32 1 cosTheta_i)) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 1/2 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)) v)
(/.f32 (/.f32 1 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)) (+.f32 v v))
(/.f32 (/.f32 -1/2 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)) (neg.f32 v))
(/.f32 (/.f32 (/.f32 -1/2 (sinh.f32 (/.f32 1 v))) (/.f32 1 cosTheta_i)) (neg.f32 v))
(/.f32 (/.f32 (.f32 (/.f32 1/2 v) cosTheta_i) (.f32 (sinh.f32 (/.f32 1 v)) 2)) 1/2)
(/.f32 (*.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) (/.f32 1/2 (+.f32 v v))) 1/2)
(/.f32 (*.f32 cosTheta_i (/.f32 -1/2 v)) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) (+.f32 v v))
(/.f32 (*.f32 cosTheta_i (/.f32 -1/2 (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 1/2 cosTheta_i)) (neg.f32 (.f32 v (sinh.f32 (/.f32 1 v)))))
(/.f32 (neg.f32 (.f32 1/2 cosTheta_i)) (.f32 (sinh.f32 (/.f32 1 v)) (neg.f32 v)))
(/.f32 (neg.f32 (*.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))))) (neg.f32 v))
(/.f32 (-.f32 (/.f32 (.f32 (/.f32 1/2 v) cosTheta_i) (.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 0 (*.f32 (sinh.f32 (/.f32 1 v)) 2))) 1/2)
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) (/.f32 1/2 (+.f32 v v))) (/.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) 2))) 1/2)
(/.f32 (-.f32 (.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) (/.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) 2))) v)
(/.f32 (-.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) (/.f32 0 (sinh.f32 (/.f32 1 v)))) (+.f32 v v))
(/.f32 (-.f32 (/.f32 1/2 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)) (/.f32 0 (*.f32 (sinh.f32 (/.f32 1 v)) 2))) v)
(/.f32 (-.f32 (/.f32 1 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)) (/.f32 0 (sinh.f32 (/.f32 1 v)))) (+.f32 v v))
(/.f32 (-.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) (/.f32 1/2 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i))) v)
(/.f32 (-.f32 (+.f32 (neg.f32 (.f32 (/.f32 1/2 v) cosTheta_i)) (neg.f32 (.f32 (/.f32 1/2 v) cosTheta_i))) (/.f32 (/.f32 -1/2 v) (/.f32 1 cosTheta_i))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (+.f32 (neg.f32 (.f32 (/.f32 1/2 v) cosTheta_i)) (neg.f32 (.f32 (/.f32 1/2 v) cosTheta_i))) (*.f32 cosTheta_i (/.f32 -1/2 v))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (.f32 (/.f32 1/2 v) cosTheta_i) (.f32 (/.f32 1 v) cosTheta_i)) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (*.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(/.f32 (-.f32 (-.f32 cosTheta_i cosTheta_i) cosTheta_i) (neg.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(/.f32 (-.f32 (.f32 cosTheta_i 3) (.f32 (+.f32 cosTheta_i cosTheta_i) 2)) (neg.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(/.f32 (-.f32 (-.f32 cosTheta_i cosTheta_i) (*.f32 (/.f32 1/2 v) cosTheta_i)) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 -1/2 v)) (/.f32 0 v)) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (-.f32 cosTheta_i cosTheta_i) (*.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))))) (neg.f32 v))
(/.f32 (-.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (*.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))))) (neg.f32 v))
(neg.f32 (*.f32 cosTheta_i (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v)))))

Outputs
(/.f32 1 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (/.f32 1 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (/.f32 1 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (/.f32 1 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (/.f32 1 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
1/2
(-.f32 1/2 (*.f32 1/12 (/.f32 1 (pow.f32 v 2))))
(-.f32 1/2 (/.f32 1/12 (pow.f32 v 2)))
(-.f32 (+.f32 1/2 (.f32 7/720 (/.f32 1 (pow.f32 v 4)))) (.f32 1/12 (/.f32 1 (pow.f32 v 2))))
(-.f32 (+.f32 1/2 (/.f32 7/720 (pow.f32 v 4))) (/.f32 1/12 (pow.f32 v 2)))
(+.f32 1/2 (-.f32 (/.f32 7/720 (pow.f32 v 4)) (/.f32 1/12 (pow.f32 v 2))))
(-.f32 (+.f32 1/2 (.f32 7/720 (/.f32 1 (pow.f32 v 4)))) (+.f32 (.f32 31/30240 (/.f32 1 (pow.f32 v 6))) (*.f32 1/12 (/.f32 1 (pow.f32 v 2)))))
(-.f32 (+.f32 1/2 (/.f32 7/720 (pow.f32 v 4))) (+.f32 (/.f32 1/12 (pow.f32 v 2)) (/.f32 31/30240 (pow.f32 v 6))))
(+.f32 (/.f32 7/720 (pow.f32 v 4)) (-.f32 1/2 (+.f32 (/.f32 1/12 (pow.f32 v 2)) (/.f32 31/30240 (pow.f32 v 6)))))
1/2
(-.f32 1/2 (*.f32 1/12 (/.f32 1 (pow.f32 v 2))))
(-.f32 1/2 (/.f32 1/12 (pow.f32 v 2)))
(-.f32 (+.f32 1/2 (.f32 7/720 (/.f32 1 (pow.f32 v 4)))) (.f32 1/12 (/.f32 1 (pow.f32 v 2))))
(-.f32 (+.f32 1/2 (/.f32 7/720 (pow.f32 v 4))) (/.f32 1/12 (pow.f32 v 2)))
(+.f32 1/2 (-.f32 (/.f32 7/720 (pow.f32 v 4)) (/.f32 1/12 (pow.f32 v 2))))
(-.f32 (+.f32 1/2 (.f32 7/720 (/.f32 1 (pow.f32 v 4)))) (+.f32 (.f32 31/30240 (/.f32 1 (pow.f32 v 6))) (*.f32 1/12 (/.f32 1 (pow.f32 v 2)))))
(-.f32 (+.f32 1/2 (/.f32 7/720 (pow.f32 v 4))) (+.f32 (/.f32 1/12 (pow.f32 v 2)) (/.f32 31/30240 (pow.f32 v 6))))
(+.f32 (/.f32 7/720 (pow.f32 v 4)) (-.f32 1/2 (+.f32 (/.f32 1/12 (pow.f32 v 2)) (/.f32 31/30240 (pow.f32 v 6)))))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 sinTheta_i (neg.f32 (/.f32 v sinTheta_O)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
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(/.f32 (*.f32 cosTheta_i (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v)))) -1)
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 -1/2 v) (/.f32 (sinh.f32 (/.f32 1 v)) (neg.f32 cosTheta_i)))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 -1/2 v) (*.f32 (sinh.f32 (/.f32 1 v)) (neg.f32 (/.f32 1 cosTheta_i))))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 -1/2 v) (neg.f32 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 -1/2 v) (-.f32 (/.f32 0 cosTheta_i) (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 -1/2 v) (-.f32 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i) (/.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) cosTheta_i)))
(/.f32 (/.f32 -1/2 v) (/.f32 (-.f32 (sinh.f32 (/.f32 1 v)) (*.f32 2 (sinh.f32 (/.f32 1 v)))) cosTheta_i))
(/.f32 cosTheta_i (/.f32 (-.f32 (sinh.f32 (/.f32 1 v)) (*.f32 2 (sinh.f32 (/.f32 1 v)))) (/.f32 -1/2 v)))
(/.f32 (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))) (neg.f32 (/.f32 1 cosTheta_i)))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 1 (sinh.f32 (/.f32 1 v))) (/.f32 v (*.f32 1/2 cosTheta_i)))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (.f32 1/2 cosTheta_i) (.f32 v (sinh.f32 (/.f32 1 v))))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (*.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) v)
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (neg.f32 (*.f32 (/.f32 1/2 v) cosTheta_i)) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (neg.f32 (.f32 (/.f32 1/2 v) cosTheta_i)) (-.f32 (.f32 (sinh.f32 (/.f32 1 v)) 0) (sinh.f32 (/.f32 1 v))))
(/.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (-.f32 (sinh.f32 (/.f32 1 v)) (.f32 (sinh.f32 (/.f32 1 v)) 0)))
(/.f32 (neg.f32 (.f32 (/.f32 1/2 v) cosTheta_i)) (-.f32 (.f32 (sinh.f32 (/.f32 1 v)) 3) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) 2)))
(/.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (-.f32 (.f32 2 (.f32 2 (sinh.f32 (/.f32 1 v)))) (.f32 (sinh.f32 (/.f32 1 v)) 3)))
(/.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (-.f32 (.f32 (sinh.f32 (/.f32 1 v)) 4) (*.f32 (sinh.f32 (/.f32 1 v)) 3)))
(/.f32 -1/2 (*.f32 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i) (neg.f32 v)))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 -1/2 (sinh.f32 (/.f32 1 v))) (*.f32 v (neg.f32 (/.f32 1 cosTheta_i))))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (+.f32 cosTheta_i cosTheta_i) (.f32 (sinh.f32 (/.f32 1 v)) (.f32 v 4)))
(/.f32 (+.f32 cosTheta_i cosTheta_i) (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 4)))
(/.f32 (/.f32 (+.f32 cosTheta_i cosTheta_i) (*.f32 v 4)) (sinh.f32 (/.f32 1 v)))
(/.f32 (.f32 (/.f32 1 v) cosTheta_i) (.f32 (sinh.f32 (/.f32 1 v)) 2))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (*.f32 (/.f32 1 v) cosTheta_i) (/.f32 1 (/.f32 1/2 (sinh.f32 (/.f32 1 v)))))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 (/.f32 -1/2 v) (/.f32 1 cosTheta_i)) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 1/2 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)) v)
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 1 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)) (+.f32 v v))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 -1/2 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)) (neg.f32 v))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 (/.f32 -1/2 (sinh.f32 (/.f32 1 v))) (/.f32 1 cosTheta_i)) (neg.f32 v))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 (.f32 (/.f32 1/2 v) cosTheta_i) (.f32 (sinh.f32 (/.f32 1 v)) 2)) 1/2)
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (*.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) (/.f32 1/2 (+.f32 v v))) 1/2)
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (*.f32 cosTheta_i (/.f32 -1/2 v)) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) (+.f32 v v))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (*.f32 cosTheta_i (/.f32 -1/2 (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (neg.f32 (.f32 1/2 cosTheta_i)) (neg.f32 (.f32 v (sinh.f32 (/.f32 1 v)))))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (neg.f32 (.f32 1/2 cosTheta_i)) (.f32 (sinh.f32 (/.f32 1 v)) (neg.f32 v)))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (neg.f32 (*.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))))) (neg.f32 v))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (/.f32 (.f32 (/.f32 1/2 v) cosTheta_i) (.f32 (sinh.f32 (/.f32 1 v)) 2)) (/.f32 0 (*.f32 (sinh.f32 (/.f32 1 v)) 2))) 1/2)
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) (/.f32 1/2 (+.f32 v v))) (/.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) 2))) 1/2)
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) (/.f32 0 (.f32 (sinh.f32 (/.f32 1 v)) 2))) v)
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) (/.f32 0 (sinh.f32 (/.f32 1 v)))) (+.f32 v v))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (/.f32 1/2 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)) (/.f32 0 (*.f32 (sinh.f32 (/.f32 1 v)) 2))) v)
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (/.f32 1 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)) (/.f32 0 (sinh.f32 (/.f32 1 v)))) (+.f32 v v))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))) (/.f32 1/2 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i))) v)
(-.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 1/2 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i))))
(/.f32 (/.f32 (-.f32 cosTheta_i (*.f32 1/2 cosTheta_i)) (sinh.f32 (/.f32 1 v))) v)
(/.f32 (-.f32 (+.f32 (neg.f32 (.f32 (/.f32 1/2 v) cosTheta_i)) (neg.f32 (.f32 (/.f32 1/2 v) cosTheta_i))) (/.f32 (/.f32 -1/2 v) (/.f32 1 cosTheta_i))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (+.f32 (neg.f32 (.f32 (/.f32 1/2 v) cosTheta_i)) (neg.f32 (.f32 (/.f32 1/2 v) cosTheta_i))) (*.f32 cosTheta_i (/.f32 -1/2 v))) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (.f32 (/.f32 1/2 v) cosTheta_i) (.f32 (/.f32 1 v) cosTheta_i)) (neg.f32 (sinh.f32 (/.f32 1 v))))
(-.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 1/2 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i))))
(/.f32 (/.f32 (-.f32 cosTheta_i (*.f32 1/2 cosTheta_i)) (sinh.f32 (/.f32 1 v))) v)
(/.f32 (-.f32 (*.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) (neg.f32 v))
(-.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 1 v)))) (/.f32 1/2 (.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i))))
(/.f32 (/.f32 (-.f32 cosTheta_i (*.f32 1/2 cosTheta_i)) (sinh.f32 (/.f32 1 v))) v)
(/.f32 (-.f32 (-.f32 cosTheta_i cosTheta_i) cosTheta_i) (neg.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i cosTheta_i)) (.f32 v (.f32 2 (sinh.f32 (/.f32 1 v)))))
(*.f32 (-.f32 (-.f32 cosTheta_i cosTheta_i) cosTheta_i) (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (.f32 cosTheta_i 3) (.f32 (+.f32 cosTheta_i cosTheta_i) 2)) (neg.f32 (.f32 v (.f32 (sinh.f32 (/.f32 1 v)) 2))))
(/.f32 (-.f32 (.f32 2 (+.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_i 3)) (.f32 v (.f32 2 (sinh.f32 (/.f32 1 v)))))
(.f32 (-.f32 (.f32 cosTheta_i 3) (*.f32 2 (+.f32 cosTheta_i cosTheta_i))) (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (-.f32 cosTheta_i cosTheta_i) (*.f32 (/.f32 1/2 v) cosTheta_i)) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (-.f32 cosTheta_i cosTheta_i)) (sinh.f32 (/.f32 1 v)))
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 -1/2 v)) (/.f32 0 v)) (neg.f32 (sinh.f32 (/.f32 1 v))))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(/.f32 (-.f32 (-.f32 cosTheta_i cosTheta_i) (*.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))))) (neg.f32 v))
(/.f32 (-.f32 (/.f32 (*.f32 1/2 cosTheta_i) (sinh.f32 (/.f32 1 v))) (-.f32 cosTheta_i cosTheta_i)) v)
(/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (/.f32 1/2 (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)))) v)
(/.f32 (-.f32 (/.f32 0 (sinh.f32 (/.f32 1 v))) (*.f32 1/2 (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v))))) (neg.f32 v))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
(neg.f32 (*.f32 cosTheta_i (/.f32 (/.f32 -1/2 v) (sinh.f32 (/.f32 1 v)))))
(/.f32 1/2 (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
✓	0.1b	(/.f32 cosTheta_O (/.f32 v cosTheta_i))

Compiler

Compiled 24 to 10 computations (58.3% saved)

series1.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	cosTheta_O	@	0	(/.f32 cosTheta_O (/.f32 v cosTheta_i))
0.0ms	v	@	-inf	(/.f32 cosTheta_O (/.f32 v cosTheta_i))
0.0ms	cosTheta_O	@	inf	(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
0.0ms	v	@	inf	(/.f32 cosTheta_O (/.f32 v cosTheta_i))
0.0ms	cosTheta_i	@	-inf	(/.f32 cosTheta_O (/.f32 v cosTheta_i))

rewrite84.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`rational.json-simplify-37`
1024×	`rational.json-simplify-29`
974×	`rational.json-simplify-6`
906×	`rational.json-simplify-33`
832×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	62	32
2	277	32
3	1797	32

Stop Event

1×	node limit

Counts

2 → 528

Calls

Call 1

Inputs
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))

Outputs

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(/.f32 1 cosTheta_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 1/2 (/.f32 1/2 v)) cosTheta_O) (/.f32 0 (+.f32 v v))) (/.f32 1/2 cosTheta_i))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 -1/2 cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v))) 1/2))))))

simplify173.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational.json-simplify-2`
1300×	`rational.json-simplify-3`
1152×	`rational.json-simplify-12`
1000×	`rational.json-simplify-1`
760×	`rational.json-simplify-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	947	18990
1	3217	18546

Stop Event

1×	node limit

Counts

600 → 841

Calls

Call 1

Inputs
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
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Outputs
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(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 1/2))
(/.f32 (*.f32 (neg.f32 cosTheta_O) 1/2) (/.f32 v (neg.f32 cosTheta_i)))
(*.f32 1/2 (/.f32 (neg.f32 cosTheta_O) (/.f32 v (neg.f32 cosTheta_i))))
(/.f32 (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v))) 1/2) -1)
(.f32 1/2 (neg.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)))))
(/.f32 (neg.f32 (.f32 1/2 (.f32 cosTheta_O (/.f32 1/2 v)))) (neg.f32 (/.f32 1/2 cosTheta_i)))
(/.f32 (neg.f32 (*.f32 cosTheta_O (/.f32 1/4 v))) (neg.f32 (/.f32 1/2 cosTheta_i)))
(/.f32 (neg.f32 (*.f32 cosTheta_O (/.f32 1/4 v))) (/.f32 1/2 (neg.f32 cosTheta_i)))
(/.f32 (neg.f32 (*.f32 cosTheta_i 1/2)) (/.f32 (neg.f32 v) cosTheta_O))
(.f32 (neg.f32 (.f32 cosTheta_i 1/2)) (/.f32 cosTheta_O (neg.f32 v)))
(/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 1/2 v))) (/.f32 (*.f32 cosTheta_O 1/2) (/.f32 (+.f32 v v) cosTheta_i))) 1/2)
(/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 1/2 v))) (.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i (+.f32 v v))))) 1/2)
(/.f32 (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 1/2)) (.f32 1/2 (.f32 cosTheta_O (/.f32 cosTheta_i (+.f32 v v))))) 1/2)
(/.f32 (-.f32 (/.f32 cosTheta_O v) (/.f32 (*.f32 cosTheta_O 1/2) v)) (/.f32 1 cosTheta_i))
(.f32 (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O 1/2)) v) (/.f32 cosTheta_i 1))
(/.f32 (-.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 1/2 (.f32 cosTheta_O (/.f32 1/2 v))) 1/2)) (/.f32 1 cosTheta_i))
(.f32 (-.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 cosTheta_O (/.f32 1/2 v)) 1)) (/.f32 cosTheta_i 1))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 cosTheta_O cosTheta_i) 1/2)) v)
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 1/2 v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 1/2))
(/.f32 (-.f32 (neg.f32 cosTheta_i) (*.f32 (neg.f32 cosTheta_i) 1/2)) (/.f32 (neg.f32 v) cosTheta_O))
(.f32 (-.f32 (neg.f32 cosTheta_i) (.f32 1/2 (neg.f32 cosTheta_i))) (/.f32 cosTheta_O (neg.f32 v)))
(/.f32 (-.f32 (neg.f32 cosTheta_i) (neg.f32 (*.f32 cosTheta_i 1/2))) (/.f32 (neg.f32 v) cosTheta_O))
(.f32 (-.f32 (neg.f32 cosTheta_i) (neg.f32 (.f32 cosTheta_i 1/2))) (/.f32 cosTheta_O (neg.f32 v)))
(/.f32 (-.f32 (neg.f32 cosTheta_O) (*.f32 (neg.f32 cosTheta_O) 1/2)) (/.f32 v (neg.f32 cosTheta_i)))
(.f32 (-.f32 (neg.f32 cosTheta_O) (.f32 1/2 (neg.f32 cosTheta_O))) (/.f32 (neg.f32 cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v))) (.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v))) 1/2)) -1)
(neg.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v))) (.f32 1/2 (*.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v))))))
(/.f32 (-.f32 (.f32 cosTheta_O (/.f32 1/2 v)) (.f32 1/2 (*.f32 cosTheta_O (/.f32 1/2 v)))) (/.f32 1/2 cosTheta_i))
(.f32 (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O 1/2)) v) (/.f32 cosTheta_i 1))
(/.f32 (-.f32 (+.f32 cosTheta_i cosTheta_i) (/.f32 1/2 (/.f32 1/2 cosTheta_i))) (/.f32 v (*.f32 cosTheta_O 1/2)))
(.f32 (+.f32 cosTheta_i (-.f32 cosTheta_i (/.f32 cosTheta_i 1))) (.f32 cosTheta_O (/.f32 1/2 v)))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 cosTheta_i) (*.f32 cosTheta_O 1/2))) (neg.f32 v))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 1/2 (neg.f32 cosTheta_i))) (*.f32 cosTheta_O (neg.f32 cosTheta_i))) v)
(/.f32 (-.f32 (/.f32 cosTheta_O (/.f32 1/2 cosTheta_i)) (*.f32 cosTheta_O cosTheta_i)) (+.f32 v v))
(/.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i 1/2)) (.f32 cosTheta_i cosTheta_O)) (+.f32 v v))
(/.f32 (-.f32 (/.f32 cosTheta_O (/.f32 1/2 cosTheta_i)) (/.f32 (*.f32 cosTheta_O 1/2) (/.f32 1/2 cosTheta_i))) (+.f32 v v))
(/.f32 (/.f32 (-.f32 cosTheta_O (*.f32 cosTheta_O 1/2)) (/.f32 1/2 cosTheta_i)) (+.f32 v v))
(/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O 1/2)) (.f32 (/.f32 1/2 cosTheta_i) (+.f32 v v)))
(/.f32 (-.f32 (neg.f32 (.f32 cosTheta_O cosTheta_i)) (.f32 (neg.f32 cosTheta_i) (*.f32 cosTheta_O 1/2))) (neg.f32 v))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 1/2 (neg.f32 cosTheta_i))) (neg.f32 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (-.f32 (/.f32 1 (/.f32 1/2 cosTheta_i)) cosTheta_i) (/.f32 v (*.f32 cosTheta_O 1/2)))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 1/2 v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 1/2))
(/.f32 (-.f32 (/.f32 1 (/.f32 1/2 cosTheta_i)) (/.f32 1/2 (/.f32 1/2 cosTheta_i))) (/.f32 v (*.f32 cosTheta_O 1/2)))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 1/2 v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 1/2))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (/.f32 cosTheta_i v) (*.f32 -1/2 cosTheta_O))) -1)
(neg.f32 (.f32 (/.f32 cosTheta_i v) (-.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_O -1/2))))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v))) 1/2)) -1)
(neg.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)) (.f32 1/2 (*.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v))))))
(/.f32 (-.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_O cosTheta_i)) (+.f32 v v))
(/.f32 (-.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_i cosTheta_O)) (+.f32 v v))
(/.f32 (-.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 cosTheta_O 1/2) (/.f32 1/2 cosTheta_i))) (+.f32 v v))
(/.f32 (-.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (.f32 1/2 (*.f32 cosTheta_O (/.f32 cosTheta_i 1/2)))) (+.f32 v v))
(-.f32 (/.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (+.f32 v v)) (.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 1/2)))
(/.f32 (-.f32 (.f32 (.f32 1/2 (/.f32 1/2 v)) (+.f32 cosTheta_O cosTheta_O)) (.f32 1/2 (.f32 cosTheta_O (/.f32 1/2 v)))) (/.f32 1/2 cosTheta_i))
(.f32 (-.f32 (.f32 (+.f32 cosTheta_O cosTheta_O) (/.f32 1/4 v)) (*.f32 cosTheta_O (/.f32 1/4 v))) (/.f32 cosTheta_i 1/2))
(/.f32 (-.f32 (.f32 (.f32 1/2 (/.f32 1/2 v)) (+.f32 cosTheta_O cosTheta_O)) (.f32 (.f32 1/2 (/.f32 1/2 v)) cosTheta_O)) (/.f32 1/2 cosTheta_i))
(.f32 (-.f32 (.f32 (+.f32 cosTheta_O cosTheta_O) (/.f32 1/4 v)) (*.f32 cosTheta_O (/.f32 1/4 v))) (/.f32 cosTheta_i 1/2))
(/.f32 (-.f32 (neg.f32 (.f32 cosTheta_O (/.f32 1/2 v))) (neg.f32 (.f32 1/2 (*.f32 cosTheta_O (/.f32 1/2 v))))) (neg.f32 (/.f32 1/2 cosTheta_i)))
(/.f32 (-.f32 (neg.f32 (.f32 cosTheta_O (/.f32 1/4 v))) (neg.f32 (.f32 cosTheta_O (/.f32 1/2 v)))) (/.f32 1/2 cosTheta_i))
(/.f32 cosTheta_i (/.f32 1/2 (-.f32 (neg.f32 (.f32 cosTheta_O (/.f32 1/4 v))) (/.f32 (.f32 cosTheta_O 1/2) (neg.f32 v)))))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 0 (/.f32 1/2 cosTheta_i))) (+.f32 v v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 0 (/.f32 cosTheta_i 1/2))) (+.f32 v v))
(/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O 1/2) v) (/.f32 0 v)) (/.f32 1 cosTheta_i))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 1/2 v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 1/2))
(/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O 1/2) (/.f32 1/2 cosTheta_i)) (/.f32 0 (/.f32 1/2 cosTheta_i))) (+.f32 v v))
(/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O 1/2) 0) (/.f32 1/2 cosTheta_i)) (+.f32 v v))
(/.f32 (-.f32 (.f32 cosTheta_O 1/2) 0) (.f32 (/.f32 1/2 cosTheta_i) (+.f32 v v)))
(/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O 1/2) (/.f32 (+.f32 v v) cosTheta_i)) (/.f32 0 (/.f32 (+.f32 v v) cosTheta_i))) 1/2)
(/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O 1/2) 0) (/.f32 (+.f32 v v) cosTheta_i)) 1/2)
(/.f32 (-.f32 (.f32 cosTheta_O 1/2) 0) (.f32 (/.f32 (+.f32 v v) cosTheta_i) 1/2))
(/.f32 (-.f32 (/.f32 (.f32 1/2 (.f32 cosTheta_O (/.f32 1/2 v))) 1/2) (/.f32 0 v)) (/.f32 1 cosTheta_i))
(.f32 (-.f32 (.f32 (*.f32 cosTheta_O (/.f32 1/2 v)) 1) (/.f32 0 v)) (/.f32 cosTheta_i 1))
(/.f32 (-.f32 (.f32 (.f32 1/2 (/.f32 1/2 v)) cosTheta_O) (/.f32 0 (+.f32 v v))) (/.f32 1/2 cosTheta_i))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 1/2 v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 1/2))
(neg.f32 (.f32 (/.f32 cosTheta_i v) (.f32 -1/2 cosTheta_O)))
(neg.f32 (.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_O -1/2)))
(.f32 (.f32 cosTheta_O -1/2) (/.f32 cosTheta_i (neg.f32 v)))
(neg.f32 (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v))) 1/2))
(.f32 1/2 (neg.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)))))

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
✓	0.2b	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	0.3b	(*.f32 (/.f32 cosTheta_O v) 3/2)
✓	0.5b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))

Compiler

Compiled 45 to 18 computations (60% saved)

series5.0ms (0%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	cosTheta_i	@	0	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
0.0ms	cosTheta_O	@	-inf	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
0.0ms	v	@	-inf	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
0.0ms	cosTheta_i	@	-inf	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
0.0ms	cosTheta_O	@	-inf	(*.f32 (/.f32 cosTheta_O v) 3/2)

rewrite85.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`rational.json-simplify-29`
1144×	`rational.json-simplify-33`
1142×	`rational.json-simplify-42`
950×	`rational.json-simplify-45`
892×	`rational.json-simplify-37`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	82
1	80	82
2	324	82
3	1940	64

Stop Event

1×	node limit

Counts

4 → 539

Calls

Call 1

Inputs
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (/.f32 cosTheta_O v) 3/2)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2)) (.f32 cosTheta_i (neg.f32 (/.f32 cosTheta_O v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2)) (-.f32 (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2)) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2)) (-.f32 (.f32 (/.f32 cosTheta_O v) 0) (.f32 cosTheta_i (/.f32 cosTheta_O v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2)) (.f32 1/2 (-.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 1/2) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 1/2) (.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 1/2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 cosTheta_i (/.f32 3 (/.f32 v cosTheta_O))) (neg.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 cosTheta_i (/.f32 3 (/.f32 v cosTheta_O))) (-.f32 (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2)) (.f32 (/.f32 cosTheta_O v) (+.f32 cosTheta_i (.f32 cosTheta_i 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 cosTheta_i (/.f32 3 (/.f32 v cosTheta_O))) (.f32 1 (neg.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 cosTheta_i (/.f32 3 (/.f32 v cosTheta_O))) (.f32 1 (-.f32 (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2)) (.f32 (/.f32 cosTheta_O v) (+.f32 cosTheta_i (.f32 cosTheta_i 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 cosTheta_i (/.f32 3 (/.f32 v cosTheta_O))) (.f32 1/2 (-.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 1/2) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 9/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 cosTheta_i (neg.f32 (/.f32 cosTheta_O v))) (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 cosTheta_i (neg.f32 (/.f32 cosTheta_O v))) (.f32 -1 (-.f32 (-.f32 cosTheta_O cosTheta_O) (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 cosTheta_i (neg.f32 (/.f32 cosTheta_O v))) (.f32 -1 (/.f32 (neg.f32 (.f32 cosTheta_O 3/2)) (/.f32 v cosTheta_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 cosTheta_i (neg.f32 (/.f32 cosTheta_O v))) (/.f32 (-.f32 (-.f32 cosTheta_O cosTheta_O) (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 cosTheta_i (neg.f32 (/.f32 cosTheta_O v))) (/.f32 (/.f32 (neg.f32 (.f32 cosTheta_O 3/2)) (/.f32 v cosTheta_i)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2)) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 5/2)) (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) -1/2) (.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 cosTheta_i (/.f32 -3/2 (/.f32 v cosTheta_O))) (.f32 -1 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 cosTheta_i (/.f32 -3/2 (/.f32 v cosTheta_O))) (/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i 3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 1/2) 2) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) -1/2))))) (#(struct:change #<rule egg-rr> 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simplify220.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1080×	`rational.json-simplify-12`
1078×	`rational.json-simplify-3`
910×	`rational.json-simplify-13`
734×	`rational.json-simplify-5`
702×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1012	20113
1	3474	19709

Stop Event

1×	node limit

Counts

671 → 916

Calls

Call 1

Inputs
(.f32 cosTheta_i (-.f32 (.f32 3/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 3/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 3/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 3/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 3/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 3/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 3/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 3/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 -1 (.f32 cosTheta_i (-.f32 (.f32 -3/2 (/.f32 cosTheta_O v)) (.f32 -1 (/.f32 cosTheta_O v)))))
(.f32 -1 (.f32 cosTheta_i (-.f32 (.f32 -3/2 (/.f32 cosTheta_O v)) (.f32 -1 (/.f32 cosTheta_O v)))))
(.f32 -1 (.f32 cosTheta_i (-.f32 (.f32 -3/2 (/.f32 cosTheta_O v)) (.f32 -1 (/.f32 cosTheta_O v)))))
(.f32 -1 (.f32 cosTheta_i (-.f32 (.f32 -3/2 (/.f32 cosTheta_O v)) (.f32 -1 (/.f32 cosTheta_O v)))))
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 -1 (.f32 cosTheta_O (-.f32 (.f32 -3/2 (/.f32 cosTheta_i v)) (.f32 -1 (/.f32 cosTheta_i v)))))
(.f32 -1 (.f32 cosTheta_O (-.f32 (.f32 -3/2 (/.f32 cosTheta_i v)) (.f32 -1 (/.f32 cosTheta_i v)))))
(.f32 -1 (.f32 cosTheta_O (-.f32 (.f32 -3/2 (/.f32 cosTheta_i v)) (.f32 -1 (/.f32 cosTheta_i v)))))
(.f32 -1 (.f32 cosTheta_O (-.f32 (.f32 -3/2 (/.f32 cosTheta_i v)) (.f32 -1 (/.f32 cosTheta_i v)))))
(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(.f32 -1 (/.f32 (-.f32 (.f32 -3/2 (.f32 cosTheta_i cosTheta_O)) (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v))
(.f32 -1 (/.f32 (-.f32 (.f32 -3/2 (.f32 cosTheta_i cosTheta_O)) (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v))
(.f32 -1 (/.f32 (-.f32 (.f32 -3/2 (.f32 cosTheta_i cosTheta_O)) (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v))
(.f32 -1 (/.f32 (-.f32 (.f32 -3/2 (.f32 cosTheta_i cosTheta_O)) (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v))
(*.f32 3/2 (/.f32 cosTheta_O v))
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(*.f32 3/2 (/.f32 cosTheta_O v))
(*.f32 3/2 (/.f32 cosTheta_O v))
(*.f32 3/2 (/.f32 cosTheta_O v))
(*.f32 3/2 (/.f32 cosTheta_O v))
(*.f32 3/2 (/.f32 cosTheta_O v))
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(*.f32 3/2 (/.f32 cosTheta_O v))
(*.f32 3/2 (/.f32 cosTheta_O v))
(*.f32 3/2 (/.f32 cosTheta_O v))
(*.f32 3/2 (/.f32 cosTheta_O v))
(*.f32 3/2 (/.f32 cosTheta_O v))
(*.f32 3/2 (/.f32 cosTheta_O v))
(*.f32 3/2 (/.f32 cosTheta_O v))
(*.f32 3/2 (/.f32 cosTheta_O v))
(*.f32 3/2 (/.f32 cosTheta_O v))
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(*.f32 3/2 (/.f32 cosTheta_O v))
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(*.f32 3/2 (/.f32 cosTheta_O v))
(*.f32 3/2 (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 3/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
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(.f32 3/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
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Outputs
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(-.f32 (.f32 (/.f32 cosTheta_O v) (neg.f32 (.f32 cosTheta_i 3/2))) (.f32 (neg.f32 (.f32 cosTheta_i 3/2)) (*.f32 (/.f32 cosTheta_O v) 2)))
(.f32 (neg.f32 (.f32 cosTheta_i 3/2)) (-.f32 (/.f32 cosTheta_O v) (*.f32 (/.f32 cosTheta_O v) 2)))
(-.f32 (.f32 0 (neg.f32 (.f32 cosTheta_i 3/2))) (.f32 (neg.f32 (.f32 cosTheta_i 3/2)) (/.f32 cosTheta_O v)))
(.f32 (neg.f32 (.f32 cosTheta_i 3/2)) (neg.f32 (/.f32 cosTheta_O v)))
(.f32 (neg.f32 (.f32 cosTheta_i 3/2)) (/.f32 cosTheta_O (neg.f32 v)))
(-.f32 (.f32 (/.f32 0 v) (neg.f32 (.f32 cosTheta_i 3/2))) (.f32 (neg.f32 (.f32 cosTheta_i 3/2)) (/.f32 cosTheta_O v)))
(.f32 (neg.f32 (.f32 cosTheta_i 3/2)) (-.f32 (/.f32 0 v) (/.f32 cosTheta_O v)))
(/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (/.f32 cosTheta_O v) (/.f32 1 (*.f32 cosTheta_i 3/2)))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 3/2 (*.f32 (/.f32 v cosTheta_O) (/.f32 1 cosTheta_i)))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (*.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 1 cosTheta_i))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2)) 1)
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 1 (/.f32 (/.f32 (/.f32 v cosTheta_O) 3/2) cosTheta_i))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 1 (/.f32 (/.f32 1 cosTheta_i) (*.f32 (/.f32 cosTheta_O v) 3/2)))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 1 (/.f32 1 (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) 3/2))))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 1 (/.f32 -1 (*.f32 cosTheta_i (/.f32 -3/2 (/.f32 v cosTheta_O)))))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (*.f32 cosTheta_i 3/2) (/.f32 v cosTheta_O))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (/.f32 -3/2 (/.f32 v cosTheta_O)) (neg.f32 (/.f32 1 cosTheta_i)))
(/.f32 -3/2 (*.f32 (/.f32 v cosTheta_O) (neg.f32 (/.f32 1 cosTheta_i))))
(/.f32 cosTheta_O (/.f32 v (/.f32 -3/2 (neg.f32 (/.f32 1 cosTheta_i)))))
(/.f32 (*.f32 cosTheta_i (/.f32 -3/2 (/.f32 v cosTheta_O))) -1)
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (neg.f32 cosTheta_i) (neg.f32 (/.f32 (/.f32 v cosTheta_O) 3/2)))
(/.f32 (neg.f32 cosTheta_i) (/.f32 v (*.f32 cosTheta_O -3/2)))
(/.f32 (*.f32 cosTheta_O 3/2) (/.f32 v cosTheta_i))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (/.f32 (*.f32 cosTheta_O 3/2) (/.f32 1 cosTheta_i)) v)
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 cosTheta_O v) 3/2)) -1)
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (*.f32 (/.f32 -3/2 (/.f32 v cosTheta_O)) cosTheta_i) -1)
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (.f32 (.f32 cosTheta_O 3/2) cosTheta_i) v)
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3/2)) v)
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i 3/2)) (+.f32 v v))
(.f32 (.f32 cosTheta_i 3/2) (/.f32 (+.f32 cosTheta_O cosTheta_O) (+.f32 v v)))
(/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i 3/2)) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_i 3/2) (neg.f32 cosTheta_O)) (neg.f32 v))
(.f32 (.f32 cosTheta_i 3/2) (/.f32 (/.f32 cosTheta_O v) 1))
(/.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 0 v)) (/.f32 1 cosTheta_i))
(-.f32 (.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (*.f32 0 cosTheta_i) v))
(-.f32 (.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 cosTheta_i (/.f32 v 0)))
(/.f32 (-.f32 (neg.f32 (.f32 cosTheta_i (/.f32 3 (/.f32 v cosTheta_O)))) (.f32 cosTheta_i (/.f32 -3/2 (/.f32 v cosTheta_O)))) -1)
(neg.f32 (-.f32 (.f32 cosTheta_i (/.f32 -3 (/.f32 v cosTheta_O))) (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v -3/2)))))
(neg.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))))
(/.f32 (-.f32 (neg.f32 (.f32 cosTheta_i (/.f32 3 (/.f32 v cosTheta_O)))) (.f32 (neg.f32 cosTheta_i) (*.f32 (/.f32 cosTheta_O v) 3/2))) -1)
(neg.f32 (-.f32 (.f32 cosTheta_i (/.f32 -3 (/.f32 v cosTheta_O))) (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v -3/2)))))
(neg.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))))
(/.f32 (-.f32 (neg.f32 (.f32 cosTheta_i (/.f32 3 (/.f32 v cosTheta_O)))) (.f32 (/.f32 -3/2 (/.f32 v cosTheta_O)) cosTheta_i)) -1)
(neg.f32 (-.f32 (.f32 cosTheta_i (/.f32 -3 (/.f32 v cosTheta_O))) (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v -3/2)))))
(neg.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))))
(neg.f32 (*.f32 cosTheta_i (/.f32 -3/2 (/.f32 v cosTheta_O))))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(neg.f32 (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 cosTheta_O v) 3/2)))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(neg.f32 (*.f32 (/.f32 -3/2 (/.f32 v cosTheta_O)) cosTheta_i))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))

localize82.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	0.3b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5/2)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	0.3b	(*.f32 (/.f32 cosTheta_O v) 5/2)
✓	0.6b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5/2)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))

Compiler

Compiled 76 to 31 computations (59.2% saved)

series6.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	cosTheta_i	@	0	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5/2)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
0.0ms	v	@	-inf	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5/2)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
0.0ms	cosTheta_O	@	-inf	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5/2)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
0.0ms	cosTheta_i	@	-inf	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5/2)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
0.0ms	cosTheta_O	@	0	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5/2)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))

rewrite60.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1212×	`rational.json-1`
1212×	`rational.json-2`
1212×	`rational.json-4`
1212×	`rational.json-3`
1046×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	111
1	102	99
2	422	63
3	2942	51

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

Inputs

(-.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 5/2)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))

(*.f32 (/.f32 cosTheta_O v) 5/2)

(-.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 5/2)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 2))) (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 2))) (/.f32 -1 (/.f32 1 (*.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))) (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))) (*.f32 (/.f32 cosTheta_O v) (-.f32 (*.f32 cosTheta_i 5/2) (*.f32 cosTheta_i 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))) (/.f32 -1 (/.f32 (/.f32 v (+.f32 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(*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 1/2)) (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 1/2)) (/.f32 -1 (/.f32 (/.f32 v cosTheta_O) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 5)) (neg.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 (*.f32 cosTheta_O 7/2) v)) (neg.f32 (*.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 (*.f32 cosTheta_O 4) v)) (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 cosTheta_O 7/2) v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (/.f32 (*.f32 cosTheta_O 4) v)) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 cosTheta_O 4) v)) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 cosTheta_O 4) v) (/.f32 (*.f32 cosTheta_O 7/2) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -2)) (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -3/2)) (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i -1/2)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 2 (/.f32 (*.f32 cosTheta_O 4) v))) (neg.f32 (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 cosTheta_O 4) v) (/.f32 (*.f32 cosTheta_O 7/2) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 0)) (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 cosTheta_O 7/2) v))) (*.f32 cosTheta_i (/.f32 (*.f32 cosTheta_O 4) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 cosTheta_O 4) v) (/.f32 (*.f32 cosTheta_O 7/2) v)))) (*.f32 cosTheta_i (*.f32 2 (/.f32 (*.f32 cosTheta_O 4) v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 cosTheta_O v) (-.f32 (*.f32 cosTheta_i 5/2) (*.f32 cosTheta_i 9/2))) (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 9/2))) (*.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 3))) (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 cosTheta_O 4) v)) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 cosTheta_O 4) v) (/.f32 (*.f32 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cosTheta_O v) (-.f32 (+.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_i 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (*.f32 cosTheta_i 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 cosTheta_O v) (+.f32 (+.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_i -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 cosTheta_O v) (+.f32 cosTheta_i (*.f32 cosTheta_i -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (-.f32 (*.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 5)) (*.f32 cosTheta_i (/.f32 (*.f32 cosTheta_O 4) v))))))) 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egg-rr> (2) ((x /.f32 1 (/.f32 1 (*.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -3/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 1 cosTheta_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -5/2)) (*.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (/.f32 cosTheta_O v) 3/2)) (neg.f32 (/.f32 1 cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -5/2)) (*.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i))))))))

simplify125.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1008×	`rational.json-simplify-1`
912×	`rational.json-simplify-37`
788×	`rational.json-simplify-50`
724×	`rational.json-simplify-24`
558×	`rational.json-simplify-67`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	463	10214
1	1615	6274
2	6731	6244

Stop Event

1×	node limit

Counts

288 → 259

Calls

Call 1

Inputs
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 cosTheta_O v) (.f32 2 (/.f32 cosTheta_O v))) (*.f32 5/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 cosTheta_O v) (.f32 2 (/.f32 cosTheta_O v))) (*.f32 5/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 cosTheta_O v) (.f32 2 (/.f32 cosTheta_O v))) (*.f32 5/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 cosTheta_O v) (.f32 2 (/.f32 cosTheta_O v))) (*.f32 5/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 cosTheta_O v) (.f32 2 (/.f32 cosTheta_O v))) (*.f32 5/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 cosTheta_O v) (.f32 2 (/.f32 cosTheta_O v))) (*.f32 5/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 cosTheta_O v) (.f32 2 (/.f32 cosTheta_O v))) (*.f32 5/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 cosTheta_O v) (.f32 2 (/.f32 cosTheta_O v))) (*.f32 5/2 (/.f32 cosTheta_O v))))
(.f32 -1 (.f32 cosTheta_i (-.f32 (+.f32 (.f32 -2 (/.f32 cosTheta_O v)) (.f32 -1 (/.f32 cosTheta_O v))) (*.f32 -5/2 (/.f32 cosTheta_O v)))))
(.f32 -1 (.f32 cosTheta_i (-.f32 (+.f32 (.f32 -2 (/.f32 cosTheta_O v)) (.f32 -1 (/.f32 cosTheta_O v))) (*.f32 -5/2 (/.f32 cosTheta_O v)))))
(.f32 -1 (.f32 cosTheta_i (-.f32 (+.f32 (.f32 -2 (/.f32 cosTheta_O v)) (.f32 -1 (/.f32 cosTheta_O v))) (*.f32 -5/2 (/.f32 cosTheta_O v)))))
(.f32 -1 (.f32 cosTheta_i (-.f32 (+.f32 (.f32 -2 (/.f32 cosTheta_O v)) (.f32 -1 (/.f32 cosTheta_O v))) (*.f32 -5/2 (/.f32 cosTheta_O v)))))
(.f32 (-.f32 (+.f32 (.f32 2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) (*.f32 5/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (-.f32 (+.f32 (.f32 2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) (*.f32 5/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (-.f32 (+.f32 (.f32 2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) (*.f32 5/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (-.f32 (+.f32 (.f32 2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) (*.f32 5/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (-.f32 (+.f32 (.f32 2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) (*.f32 5/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (-.f32 (+.f32 (.f32 2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) (*.f32 5/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (-.f32 (+.f32 (.f32 2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) (*.f32 5/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (-.f32 (+.f32 (.f32 2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) (*.f32 5/2 (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 -1 (.f32 (-.f32 (+.f32 (.f32 -2 (/.f32 cosTheta_i v)) (.f32 -1 (/.f32 cosTheta_i v))) (*.f32 -5/2 (/.f32 cosTheta_i v))) cosTheta_O))
(.f32 -1 (.f32 (-.f32 (+.f32 (.f32 -2 (/.f32 cosTheta_i v)) (.f32 -1 (/.f32 cosTheta_i v))) (*.f32 -5/2 (/.f32 cosTheta_i v))) cosTheta_O))
(.f32 -1 (.f32 (-.f32 (+.f32 (.f32 -2 (/.f32 cosTheta_i v)) (.f32 -1 (/.f32 cosTheta_i v))) (*.f32 -5/2 (/.f32 cosTheta_i v))) cosTheta_O))
(.f32 -1 (.f32 (-.f32 (+.f32 (.f32 -2 (/.f32 cosTheta_i v)) (.f32 -1 (/.f32 cosTheta_i v))) (*.f32 -5/2 (/.f32 cosTheta_i v))) cosTheta_O))
(/.f32 (-.f32 (+.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i cosTheta_O)) (.f32 5/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (-.f32 (+.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i cosTheta_O)) (.f32 5/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (-.f32 (+.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i cosTheta_O)) (.f32 5/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (-.f32 (+.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i cosTheta_O)) (.f32 5/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (-.f32 (+.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i cosTheta_O)) (.f32 5/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (-.f32 (+.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i cosTheta_O)) (.f32 5/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (-.f32 (+.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i cosTheta_O)) (.f32 5/2 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (-.f32 (+.f32 (.f32 2 (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i cosTheta_O)) (.f32 5/2 (*.f32 cosTheta_i cosTheta_O))) v)
(.f32 -1 (/.f32 (-.f32 (+.f32 (.f32 -2 (.f32 cosTheta_i cosTheta_O)) (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -5/2 (*.f32 cosTheta_i cosTheta_O))) v))
(.f32 -1 (/.f32 (-.f32 (+.f32 (.f32 -2 (.f32 cosTheta_i cosTheta_O)) (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -5/2 (*.f32 cosTheta_i cosTheta_O))) v))
(.f32 -1 (/.f32 (-.f32 (+.f32 (.f32 -2 (.f32 cosTheta_i cosTheta_O)) (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -5/2 (*.f32 cosTheta_i cosTheta_O))) v))
(.f32 -1 (/.f32 (-.f32 (+.f32 (.f32 -2 (.f32 cosTheta_i cosTheta_O)) (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -5/2 (*.f32 cosTheta_i cosTheta_O))) v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(*.f32 5/2 (/.f32 cosTheta_O v))
(.f32 cosTheta_i (-.f32 (.f32 5/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 5/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 5/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 5/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 5/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 5/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 5/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 5/2 (/.f32 cosTheta_O v)) (/.f32 cosTheta_O v)))
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(.f32 (-.f32 (.f32 5/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (-.f32 (.f32 5/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (-.f32 (.f32 5/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (-.f32 (.f32 5/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (-.f32 (.f32 5/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (-.f32 (.f32 5/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
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(/.f32 (-.f32 (.f32 5/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 5/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 5/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 5/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 5/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 5/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 5/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 5/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
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(neg.f32 (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -5/2)) (*.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i))))

Outputs
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 cosTheta_O v) (.f32 2 (/.f32 cosTheta_O v))) (*.f32 5/2 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_O (/.f32 2 v)) (*.f32 cosTheta_O (/.f32 5/2 v)))))
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(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 1/2))
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(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 1/2))
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(+.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3/2)) cosTheta_i))
(+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (-.f32 cosTheta_i cosTheta_i))
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(+.f32 (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -2))) (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))))
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(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3/2)
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 3/2)) 1)
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 1/2)) 3)
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(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 1/2 (.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 3)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
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(.f32 1/2 (-.f32 (.f32 (/.f32 (.f32 cosTheta_O 7/2) v) (+.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_i (/.f32 (*.f32 cosTheta_O 4) v))))
(.f32 -1/2 (-.f32 (/.f32 cosTheta_i (/.f32 v (.f32 cosTheta_O 4))) (.f32 (.f32 7/2 (/.f32 cosTheta_O v)) (+.f32 cosTheta_i cosTheta_i))))
(-.f32 (.f32 1/2 (.f32 (.f32 cosTheta_O 7) (/.f32 cosTheta_i v))) (.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)))
(.f32 1/2 (-.f32 (.f32 cosTheta_i (.f32 2 (/.f32 (.f32 cosTheta_O 4) v))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 5))))
(.f32 -1/2 (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5)) (.f32 2 (/.f32 cosTheta_i (/.f32 v (*.f32 cosTheta_O 4))))))
(.f32 1/2 (.f32 cosTheta_i (-.f32 (*.f32 2 (/.f32 4 (/.f32 v cosTheta_O))) (/.f32 5 (/.f32 v cosTheta_O)))))
(.f32 (.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i)) -3/2)
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -3/2)) -1)
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 -1 (.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -3/2)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (neg.f32 (/.f32 cosTheta_O v)) (.f32 cosTheta_i -3/2))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (neg.f32 (/.f32 cosTheta_O v)) (-.f32 (neg.f32 (.f32 cosTheta_i 5/2)) (neg.f32 cosTheta_i)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 cosTheta_O v) -3/2))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 (/.f32 cosTheta_O v) -5/2) (neg.f32 (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 (/.f32 cosTheta_O v) -5/2) (/.f32 cosTheta_O (neg.f32 v))))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (.f32 cosTheta_O 7/2) v) (*.f32 (/.f32 cosTheta_O v) 5)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (neg.f32 cosTheta_i) (-.f32 0 (.f32 (/.f32 cosTheta_O v) 3/2)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (neg.f32 cosTheta_i) (+.f32 (neg.f32 (/.f32 cosTheta_O v)) (.f32 (/.f32 cosTheta_O v) -1/2)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 (/.f32 cosTheta_O v) -1/2) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 (/.f32 cosTheta_O v) -3/2) (/.f32 0 v)))
(.f32 cosTheta_i (-.f32 (/.f32 0 v) (.f32 (/.f32 cosTheta_O v) -3/2)))
(.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 cosTheta_O (/.f32 v 5/2)) (/.f32 (.f32 cosTheta_O 4) v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (.f32 (/.f32 cosTheta_O v) 3/2) cosTheta_i)
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (+.f32 cosTheta_i cosTheta_i) (-.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 5/2 (*.f32 (/.f32 cosTheta_O v) 1/2))))
(.f32 (+.f32 cosTheta_i cosTheta_i) (-.f32 (.f32 cosTheta_O (/.f32 2 v)) (*.f32 (/.f32 cosTheta_O v) 5/4)))
(.f32 (+.f32 cosTheta_i cosTheta_i) (.f32 (/.f32 cosTheta_O v) 3/4))
(.f32 (+.f32 cosTheta_i cosTheta_i) (-.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 (/.f32 cosTheta_O (/.f32 v 5/2)) 1/2)))
(.f32 (+.f32 cosTheta_i cosTheta_i) (-.f32 (.f32 cosTheta_O (/.f32 2 v)) (*.f32 (/.f32 cosTheta_O v) 5/4)))
(.f32 (+.f32 cosTheta_i cosTheta_i) (.f32 (/.f32 cosTheta_O v) 3/4))
(.f32 (+.f32 cosTheta_i cosTheta_i) (-.f32 (/.f32 cosTheta_O (/.f32 v 2)) (/.f32 1/2 (/.f32 v (.f32 cosTheta_O 5/2)))))
(.f32 (+.f32 cosTheta_i cosTheta_i) (-.f32 (.f32 cosTheta_O (/.f32 2 v)) (*.f32 (/.f32 cosTheta_O v) 5/4)))
(.f32 (+.f32 cosTheta_i cosTheta_i) (.f32 (/.f32 cosTheta_O v) 3/4))
(.f32 -1/2 (.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -3/2)) 2))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 3)) 1/2)
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (.f32 (/.f32 cosTheta_O v) 1/2) (*.f32 cosTheta_i 3))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (-.f32 (/.f32 5/4 v) (/.f32 1/2 v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (.f32 (/.f32 cosTheta_O v) -3/2) (neg.f32 cosTheta_i))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (.f32 cosTheta_i 3/2) (/.f32 cosTheta_O v))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(.f32 (.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -3/2)) 2) -1/2)
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3/2)) 1)
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(/.f32 1 (/.f32 1 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3/2))))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(/.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -3/2)) -1)
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(/.f32 (*.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 1 cosTheta_i))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(/.f32 (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -5/2)) (*.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i))) -1)
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(/.f32 (neg.f32 (*.f32 (/.f32 cosTheta_O v) 3/2)) (neg.f32 (/.f32 1 cosTheta_i)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(neg.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -3/2)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))
(neg.f32 (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -5/2)) (*.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i))))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2))

localize114.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
	0.3b	(*.f32 cosTheta_O (/.f32 2 v))
✓	0.4b	(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1)))
	0.8b	(exp.f32 (/.f32 1 v))

Compiler

Compiled 79 to 59 computations (25.3% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1)))
1.0ms	cosTheta_i	@	0	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
1.0ms	cosTheta_O	@	inf	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
1.0ms	cosTheta_i	@	inf	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
1.0ms	cosTheta_O	@	0	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))

rewrite106.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1760×	`rational.json-1`
1760×	`rational.json-2`
1758×	`rational.json-3`
1756×	`rational.json-4`
692×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	82
1	125	82
2	544	76
3	4126	76

Stop Event

1×	node limit

Counts

2 → 230

Calls

Call 1

Inputs
(/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))

Outputs

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simplify126.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

802×	`rational.json-simplify-41`
748×	`rational.json-simplify-28`
728×	`rational.json-simplify-43`
708×	`rational.json-simplify-24`
652×	`rational.json-simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	488	18104
1	1755	12850

Stop Event

1×	node limit

Counts

278 → 336

Calls

Call 1

Inputs
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) 1)))
1/2
(-.f32 1/2 (*.f32 1/4 (/.f32 1 v)))
(-.f32 (+.f32 1/2 (.f32 1/24 (/.f32 1 (pow.f32 v 2)))) (.f32 1/4 (/.f32 1 v)))
(-.f32 (+.f32 1/2 (.f32 1/24 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/4 (/.f32 1 v)) (*.f32 1/1440 (/.f32 1 (pow.f32 v 4)))))
1/2
(-.f32 1/2 (*.f32 1/4 (/.f32 1 v)))
(-.f32 (+.f32 1/2 (.f32 1/24 (/.f32 1 (pow.f32 v 2)))) (.f32 1/4 (/.f32 1 v)))
(-.f32 (+.f32 1/2 (.f32 1/24 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/4 (/.f32 1 v)) (*.f32 1/1440 (/.f32 1 (pow.f32 v 4)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
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(/.f32 (.f32 (/.f32 1/2 (-.f32 (.f32 v (exp.f32 (/.f32 1 v))) v)) cosTheta_i) (/.f32 v (+.f32 cosTheta_O cosTheta_O)))
(/.f32 (/.f32 (/.f32 1 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v)) (/.f32 v cosTheta_O)) (/.f32 1 cosTheta_i))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 1/2 v) (.f32 v (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2)))))
(/.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (.f32 v (*.f32 v (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2)))))
(/.f32 (.f32 1/2 (.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v))) (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v))
(/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2))) v)
(/.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 (/.f32 1 v) (/.f32 v cosTheta_O))) (-.f32 1 (exp.f32 (/.f32 1 v))))
(/.f32 -1/2 (.f32 (neg.f32 v) (.f32 (+.f32 (exp.f32 (/.f32 1 v)) -1) (/.f32 (.f32 1/2 v) (.f32 cosTheta_i cosTheta_O)))))
(/.f32 (neg.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) -1))) (.f32 (neg.f32 v) (/.f32 (.f32 1/2 v) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O 4) v)) (/.f32 (*.f32 v (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2))) 1/2))
(/.f32 (.f32 (.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (/.f32 1 v)) (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2)))
(/.f32 (.f32 (.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (/.f32 1 v)) (/.f32 1 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) -1))))
(/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (+.f32 (exp.f32 (/.f32 1 v)) -1)) (+.f32 v v))
(/.f32 (/.f32 1/2 (.f32 (+.f32 (exp.f32 (/.f32 1 v)) -1) (/.f32 (.f32 1/2 v) (*.f32 cosTheta_i cosTheta_O)))) v)
(/.f32 (/.f32 1 (.f32 (+.f32 (exp.f32 (/.f32 1 v)) -1) (/.f32 (.f32 1/2 v) (*.f32 cosTheta_i cosTheta_O)))) (+.f32 v v))
(/.f32 (/.f32 (/.f32 -1/2 v) (.f32 (+.f32 (exp.f32 (/.f32 1 v)) -1) (/.f32 (.f32 1/2 v) (*.f32 cosTheta_i cosTheta_O)))) -1)
(/.f32 (/.f32 -1/2 (.f32 (+.f32 (exp.f32 (/.f32 1 v)) -1) (/.f32 (.f32 1/2 v) (*.f32 cosTheta_i cosTheta_O)))) (neg.f32 v))
(/.f32 (/.f32 (neg.f32 (/.f32 1/2 (-.f32 (.f32 v (exp.f32 (/.f32 1 v))) v))) (/.f32 (.f32 1/2 v) (*.f32 cosTheta_i cosTheta_O))) -1)
(/.f32 (/.f32 (neg.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) -1))) (/.f32 (.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (/.f32 (.f32 (/.f32 (+.f32 cosTheta_O cosTheta_O) v) (neg.f32 cosTheta_i)) (.f32 v (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2)))) -1)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2)))) (*.f32 1/2 v))
(/.f32 (/.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (.f32 v (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2)))) v)
(/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 (/.f32 1 v) (/.f32 v cosTheta_O))) (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2))) 1/2)
(/.f32 (/.f32 (.f32 1/2 (.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v))) (neg.f32 v)) (-.f32 1 (exp.f32 (/.f32 1 v))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2))) (+.f32 v v)) 1/2)
(/.f32 (.f32 (/.f32 1 v) (.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v))) (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2)))
(/.f32 (.f32 (neg.f32 (/.f32 1/2 (-.f32 (.f32 v (exp.f32 (/.f32 1 v))) v))) (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v))) -1)
(/.f32 (.f32 (.f32 (/.f32 (+.f32 cosTheta_O cosTheta_O) v) (neg.f32 cosTheta_i)) (/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v))) -1)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1/2 (-.f32 (.f32 v (exp.f32 (/.f32 1 v))) v))) (.f32 1/2 v))
(/.f32 (.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v))) v)
(/.f32 (.f32 (neg.f32 (/.f32 1/2 (+.f32 (exp.f32 (/.f32 1 v)) -1))) (.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v))) (neg.f32 v))
(/.f32 (.f32 1 (.f32 (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (/.f32 1 v))) (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2)))
(/.f32 (.f32 -1/2 (.f32 (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (/.f32 1 v))) (-.f32 1 (exp.f32 (/.f32 1 v))))
(/.f32 (neg.f32 (.f32 1/2 (.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)))) (-.f32 v (*.f32 v (exp.f32 (/.f32 1 v)))))
(/.f32 (neg.f32 (.f32 1/2 (.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)))) (neg.f32 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v)))
(/.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2)))) (neg.f32 v))
(neg.f32 (neg.f32 (*.f32 (/.f32 (/.f32 1 v) (/.f32 v cosTheta_O)) (/.f32 cosTheta_i (+.f32 (exp.f32 (/.f32 1 v)) -1)))))
(neg.f32 (/.f32 (/.f32 -1/2 v) (.f32 (+.f32 (exp.f32 (/.f32 1 v)) -1) (/.f32 (.f32 1/2 v) (*.f32 cosTheta_i cosTheta_O)))))
(neg.f32 (/.f32 (neg.f32 (/.f32 1/2 (-.f32 (.f32 v (exp.f32 (/.f32 1 v))) v))) (/.f32 (.f32 1/2 v) (*.f32 cosTheta_i cosTheta_O))))
(neg.f32 (/.f32 (.f32 (/.f32 (+.f32 cosTheta_O cosTheta_O) v) (neg.f32 cosTheta_i)) (.f32 v (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2)))))
(neg.f32 (.f32 (neg.f32 (/.f32 1/2 (-.f32 (.f32 v (exp.f32 (/.f32 1 v))) v))) (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v))))
(neg.f32 (.f32 (.f32 (/.f32 (+.f32 cosTheta_O cosTheta_O) v) (neg.f32 cosTheta_i)) (/.f32 1/2 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v))))

Outputs
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 -1/2 (*.f32 v (-.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 -1/2 (*.f32 v (-.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 -1/2 (*.f32 v (-.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1/2 (*.f32 v (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 -1/2 (*.f32 v (-.f32 1 (exp.f32 (/.f32 1 v)))))
1/2
(-.f32 1/2 (*.f32 1/4 (/.f32 1 v)))
(-.f32 1/2 (/.f32 1/4 v))
(-.f32 (+.f32 1/2 (.f32 1/24 (/.f32 1 (pow.f32 v 2)))) (.f32 1/4 (/.f32 1 v)))
(+.f32 1/2 (-.f32 (/.f32 1/24 (pow.f32 v 2)) (/.f32 1/4 v)))
(+.f32 (/.f32 1/24 (pow.f32 v 2)) (-.f32 1/2 (/.f32 1/4 v)))
(-.f32 (+.f32 1/2 (.f32 1/24 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/4 (/.f32 1 v)) (*.f32 1/1440 (/.f32 1 (pow.f32 v 4)))))
(-.f32 (+.f32 1/2 (/.f32 1/24 (pow.f32 v 2))) (+.f32 (/.f32 1/4 v) (/.f32 1/1440 (pow.f32 v 4))))
(-.f32 (+.f32 1/2 (/.f32 1/24 (pow.f32 v 2))) (+.f32 (/.f32 1/1440 (pow.f32 v 4)) (/.f32 1/4 v)))
1/2
(-.f32 1/2 (*.f32 1/4 (/.f32 1 v)))
(-.f32 1/2 (/.f32 1/4 v))
(-.f32 (+.f32 1/2 (.f32 1/24 (/.f32 1 (pow.f32 v 2)))) (.f32 1/4 (/.f32 1 v)))
(+.f32 1/2 (-.f32 (/.f32 1/24 (pow.f32 v 2)) (/.f32 1/4 v)))
(+.f32 (/.f32 1/24 (pow.f32 v 2)) (-.f32 1/2 (/.f32 1/4 v)))
(-.f32 (+.f32 1/2 (.f32 1/24 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/4 (/.f32 1 v)) (*.f32 1/1440 (/.f32 1 (pow.f32 v 4)))))
(-.f32 (+.f32 1/2 (/.f32 1/24 (pow.f32 v 2))) (+.f32 (/.f32 1/4 v) (/.f32 1/1440 (pow.f32 v 4))))
(-.f32 (+.f32 1/2 (/.f32 1/24 (pow.f32 v 2))) (+.f32 (/.f32 1/1440 (pow.f32 v 4)) (/.f32 1/4 v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
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(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
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(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
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(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
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(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) (+.f32 (exp.f32 (/.f32 1 v)) -1))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
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(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (pow.f32 v 2) -1/2)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/4 (.f32 cosTheta_i cosTheta_O)) (.f32 1/6 (.f32 cosTheta_i cosTheta_O))) (pow.f32 v 3))) (+.f32 (.f32 -1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 -1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)))) (/.f32 -1 (/.f32 (pow.f32 v 3) (+.f32 (.f32 cosTheta_i (.f32 -1/4 cosTheta_O)) (.f32 cosTheta_i (*.f32 1/6 cosTheta_O))))))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (pow.f32 v 2) -1/2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (neg.f32 (.f32 cosTheta_i (.f32 -1/12 cosTheta_O))) (pow.f32 v 3))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/4 (.f32 cosTheta_i cosTheta_O)) (.f32 1/6 (.f32 cosTheta_i cosTheta_O))) (pow.f32 v 3))) (+.f32 (.f32 -1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/24 (.f32 cosTheta_i cosTheta_O)) (+.f32 (.f32 -1/12 (.f32 cosTheta_i cosTheta_O)) (.f32 -1/2 (+.f32 (.f32 -1/4 (.f32 cosTheta_i cosTheta_O)) (.f32 1/6 (.f32 cosTheta_i cosTheta_O)))))) (pow.f32 v 4))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
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(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (pow.f32 v 2) -1/2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (neg.f32 (.f32 cosTheta_i (.f32 -1/12 cosTheta_O))) (pow.f32 v 3)) (/.f32 (neg.f32 (+.f32 (.f32 -1/2 (.f32 cosTheta_i (.f32 -1/12 cosTheta_O))) (.f32 (*.f32 cosTheta_i cosTheta_O) -1/24))) (pow.f32 v 4)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
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eval1.3s (3.8%)

Compiler: Compiled 68198 to 34288 computations (49.7% saved)

prune2.6s (7.6%)

Pruning

185 alts after pruning (181 fresh and 4 done)

	Pruned	Kept	Total
New	3127	85	3212
Fresh	69	96	165
Picked	1	0	1
Done	2	4	6
Total	3199	185	3384

Error

Counts

3384 → 185

Alt Table

Click to see full alt table

Status	Error	Program
	10.1b	(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2))) (+.f32 v v)) 1/2)
	0.7b	(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) 2) (sinh.f32 (/.f32 1 v)))
	13.4b	(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (*.f32 cosTheta_i 1/2))) 2) 1/2)
	1.3b	(/.f32 (/.f32 (/.f32 1 (/.f32 -1 (neg.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v (/.f32 cosTheta_i v))))))) 2) (sinh.f32 (/.f32 1 v)))
	10.0b	(/.f32 (/.f32 (/.f32 1 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v)) (/.f32 v cosTheta_O)) (/.f32 1 cosTheta_i))
	13.4b	(/.f32 (/.f32 (/.f32 1/2 v) (/.f32 2 cosTheta_O)) (/.f32 1/2 cosTheta_i))
	14.4b	(/.f32 (/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O 2)))) (+.f32 v v)) 1/2)
	14.6b	(/.f32 (/.f32 (-.f32 cosTheta_O (-.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 cosTheta_O 2)))) (+.f32 v v)) 1/2)
✓	0.4b	(/.f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1/2 cosTheta_O)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	11.3b	(/.f32 (/.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i))) 2) (sinh.f32 (/.f32 1 v)))
	0.7b	(/.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) 2) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	0.4b	(/.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 cosTheta_O (/.f32 2 v)) cosTheta_i) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	0.4b	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
	13.4b	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) (+.f32 v v)) 1/2)
	10.1b	(/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (+.f32 (exp.f32 (/.f32 1 v)) -1)) (+.f32 v v))
	10.1b	(/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2))) v)
	10.1b	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2)))) (*.f32 1/2 v))
	13.4b	(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
	0.7b	(/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) 2) (sinh.f32 (/.f32 1 v)))
	13.4b	(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
	13.4b	(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
	2.6b	(/.f32 (/.f32 1 v) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (.f32 cosTheta_i cosTheta_O)))
	2.6b	(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
	2.4b	(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (/.f32 (/.f32 1 cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v)))))
	2.6b	(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))))
	13.2b	(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))
	2.6b	(/.f32 (/.f32 1 v) (*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
	2.5b	(/.f32 (/.f32 1 v) (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
	13.4b	(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O 3/2) (/.f32 1 cosTheta_i)) (.f32 cosTheta_i cosTheta_O)) v)
	13.4b	(/.f32 (-.f32 (+.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_i 3/2)) (/.f32 v cosTheta_O))
	13.4b	(/.f32 (-.f32 (+.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_O 3/2)) (/.f32 v cosTheta_i))
	13.4b	(/.f32 (-.f32 (.f32 (.f32 cosTheta_O 3/2) cosTheta_i) (*.f32 cosTheta_i cosTheta_O)) v)
	13.4b	(/.f32 (-.f32 (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 cosTheta_O 2))) (.f32 cosTheta_O (.f32 cosTheta_i 5/2))) v)
	13.4b	(/.f32 (-.f32 (*.f32 cosTheta_i 3/2) cosTheta_i) (/.f32 v cosTheta_O))
	13.4b	(/.f32 (-.f32 (.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) (/.f32 (.f32 cosTheta_O 3/2) (/.f32 1 cosTheta_i))) v)
	13.4b	(/.f32 (-.f32 (.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (*.f32 cosTheta_i 3/2))) v)
	13.4b	(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3/2)) (*.f32 cosTheta_i cosTheta_O)) v)
	13.4b	(/.f32 (-.f32 (*.f32 cosTheta_O 3/2) cosTheta_O) (/.f32 v cosTheta_i))
	13.3b	(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
	14.5b	(/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 1/4 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) 1/2)
	15.0b	(/.f32 (.f32 (/.f32 1/2 v) (-.f32 cosTheta_i (-.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O 2)) cosTheta_O))))) 1/2)
	13.4b	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1/4 v)) 1/2)
	13.4b	(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
	2.4b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (/.f32 15 v) (/.f32 16 v)) (/.f32 -1 (.f32 cosTheta_i cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	1.0b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 -7 cosTheta_O)) (.f32 8 (.f32 cosTheta_O (neg.f32 cosTheta_i)))) v)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	0.5b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 1 v)) -2) (-.f32 (/.f32 3 v) (/.f32 4 v))))
	0.9b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 8 v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 7 v)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	0.8b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (-.f32 (neg.f32 (/.f32 7 v)) (+.f32 (/.f32 -4 v) (/.f32 -4 v))) -1))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
✓	0.5b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (-.f32 (/.f32 3 v) (/.f32 4 v)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	1.0b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (+.f32 (/.f32 12 v) (/.f32 -13 v)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	0.6b	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O (/.f32 v -3)) (.f32 cosTheta_O (/.f32 4 v))))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	13.4b	(/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1 cosTheta_O))
	14.2b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
	13.4b	(/.f32 (*.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 1 cosTheta_i))
	13.4b	(/.f32 cosTheta_i (*.f32 v (/.f32 2 cosTheta_O)))
	13.4b	(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
	13.3b	(/.f32 1 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) 1/2)))
	13.3b	(/.f32 1 (*.f32 (/.f32 v cosTheta_i) (/.f32 2 cosTheta_O)))
	13.3b	(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
	13.3b	(/.f32 1/2 (/.f32 (/.f32 1 cosTheta_i) (/.f32 cosTheta_O v)))
	13.3b	(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	13.3b	(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
	13.4b	(-.f32 (/.f32 (.f32 cosTheta_i 3/2) (/.f32 v cosTheta_O)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.4b	(-.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i 1/2)) v) (.f32 (/.f32 (+.f32 cosTheta_i (+.f32 cosTheta_i cosTheta_i)) v) (/.f32 cosTheta_O 2)))
	13.4b	(-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3/2)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.4b	(-.f32 (/.f32 (.f32 cosTheta_O 3/2) (/.f32 v cosTheta_i)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.4b	(-.f32 (/.f32 (neg.f32 cosTheta_i) (/.f32 v (.f32 cosTheta_O -3/2))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.4b	(-.f32 (-.f32 (.f32 (/.f32 6 (/.f32 v cosTheta_O)) cosTheta_i) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 9/2))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.9b	(-.f32 (-.f32 (.f32 (/.f32 4 (/.f32 v (.f32 cosTheta_i cosTheta_O))) 3/2) (.f32 3/2 (.f32 cosTheta_i (/.f32 3 (/.f32 v cosTheta_O))))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.4b	(-.f32 (-.f32 (.f32 cosTheta_i (.f32 3/2 (.f32 4 (/.f32 cosTheta_O v)))) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 9/2))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
	15.3b	(-.f32 (+.f32 cosTheta_i (-.f32 (.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v))) cosTheta_i)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.4b	(-.f32 (.f32 (+.f32 cosTheta_O cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O 3/2)))
	13.4b	(-.f32 (.f32 (.f32 2 (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 3/2 v)))
	13.4b	(-.f32 (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) 2/3)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.4b	(-.f32 (.f32 cosTheta_i (-.f32 (/.f32 6 (/.f32 v cosTheta_O)) (.f32 (/.f32 cosTheta_O v) 9/2))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.4b	(-.f32 (.f32 cosTheta_i (-.f32 (.f32 (/.f32 4 (/.f32 v cosTheta_O)) 3/2) (.f32 (/.f32 cosTheta_O v) 9/2))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.4b	(-.f32 (.f32 cosTheta_i (-.f32 (.f32 (/.f32 3/4 v) (.f32 2 (+.f32 cosTheta_O cosTheta_O))) (.f32 3/2 (/.f32 cosTheta_O v)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (/.f32 (*.f32 cosTheta_i 3/2) (/.f32 v cosTheta_O)))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5)) (/.f32 cosTheta_i (/.f32 (/.f32 v 5/2) cosTheta_O))) (.f32 (/.f32 cosTheta_O v) (+.f32 cosTheta_i (.f32 cosTheta_i 5)))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 (.f32 2 (/.f32 cosTheta_O v)) (-.f32 cosTheta_i (.f32 cosTheta_i 4))) (.f32 (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2)) (neg.f32 cosTheta_i))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (/.f32 (/.f32 5/2 v) (/.f32 1 cosTheta_O))) (.f32 cosTheta_i (/.f32 cosTheta_O v))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O 5) (-.f32 (.f32 v 3) v))) (.f32 cosTheta_i (/.f32 cosTheta_O v))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (/.f32 1 (/.f32 v (.f32 cosTheta_O 5/2)))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 5) (/.f32 cosTheta_O (/.f32 v 5/2)))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (-.f32 (.f32 (.f32 (/.f32 cosTheta_O v) 5) 2) (.f32 (/.f32 cosTheta_O v) 15/2))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
	13.6b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5/2)) (/.f32 1 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
	15.2b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5/2)) (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (.f32 (.f32 cosTheta_O (/.f32 5/2 v)) 4)) (.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 17/2))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 cosTheta_i (.f32 2 (.f32 (/.f32 cosTheta_O v) 3))) (.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 9/2)))
	14.3b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 cosTheta_i (-.f32 cosTheta_i (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 3/2 v)))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))) (.f32 (/.f32 cosTheta_O v) (+.f32 cosTheta_i (.f32 cosTheta_i 5)))) (.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 5))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 5/2)) (.f32 cosTheta_i 4)) (neg.f32 (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 5) (/.f32 (*.f32 cosTheta_O 7/2) v))))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i 9/2))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 5))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (.f32 cosTheta_i 4)) (neg.f32 (.f32 cosTheta_i (+.f32 (.f32 7/2 (/.f32 cosTheta_O v)) (.f32 (/.f32 cosTheta_O v) 5))))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) -3/2)) (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 2))))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (+.f32 (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4))) (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)))) (+.f32 (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4))) (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2))))))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4))) (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2)))))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (+.f32 (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2))) (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2)))) (+.f32 (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2))) (-.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2))))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 3/2) (.f32 (.f32 2 (/.f32 cosTheta_O v)) 4))) (.f32 (/.f32 cosTheta_O v) (-.f32 (neg.f32 cosTheta_i) (*.f32 cosTheta_i 6))))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 4)) (.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 7/2)))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 (+.f32 cosTheta_i cosTheta_i) (-.f32 (.f32 cosTheta_O (/.f32 2 v)) (*.f32 (/.f32 cosTheta_O v) 5/4))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 3/2 v)))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v))))
	14.1b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
	14.3b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (-.f32 cosTheta_O (-.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 (/.f32 3/4 v) (-.f32 (.f32 cosTheta_O 3) cosTheta_O))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.4b	(-.f32 (.f32 cosTheta_i (.f32 2 (/.f32 4 (/.f32 v cosTheta_O)))) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 15/2)))
	13.4b	(-.f32 (.f32 3/2 (-.f32 (.f32 4 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3)))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
	13.4b	(-.f32 (.f32 3/2 (-.f32 (.f32 4 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (.f32 cosTheta_i (.f32 3 (/.f32 cosTheta_O v))))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
	14.5b	(-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))))
	14.5b	(-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v (/.f32 cosTheta_O 2)))))
	13.4b	(+.f32 (/.f32 (.f32 (.f32 cosTheta_O 7/2) cosTheta_i) v) (neg.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3))))
	13.4b	(+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 2))) (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 3/2)))) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 4)))
	14.5b	(+.f32 (-.f32 cosTheta_O (.f32 (/.f32 (+.f32 cosTheta_i (+.f32 cosTheta_i cosTheta_i)) v) (/.f32 cosTheta_O 2))) (-.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i 1/2)) v) cosTheta_O))
	13.4b	(+.f32 (.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) -1/4) (.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 3/4))
	13.4b	(+.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 5/2) (.f32 cosTheta_i 9/2))) (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))))
	13.4b	(+.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 5)) (neg.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 9/2))))
	13.4b	(+.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3)) (neg.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 5/2)))
	13.4b	(+.f32 (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O 4) v)) (neg.f32 (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O 7/2) v))))
	13.4b	(+.f32 (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O 7/2) v)) (neg.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))))
	13.4b	(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))) (.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -2)))
	14.8b	(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (pow.f32 v 2) -1/2)))
	13.4b	(+.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 7/2 v))) (*.f32 cosTheta_i (/.f32 -3 (/.f32 v cosTheta_O))))
	13.4b	(+.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 7/2 v))) (.f32 3 (.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)))))
	13.4b	(+.f32 (.f32 cosTheta_i (.f32 2 (/.f32 (.f32 cosTheta_O 4) v))) (neg.f32 (.f32 cosTheta_i (+.f32 (/.f32 (.f32 cosTheta_O 4) v) (/.f32 (.f32 cosTheta_O 7/2) v)))))
	14.8b	(+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 -1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
	13.4b	(+.f32 (.f32 2 (/.f32 cosTheta_i (/.f32 v (.f32 cosTheta_O 4)))) (neg.f32 (.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_O 4) (*.f32 cosTheta_O 7/2)) v))))
	13.4b	(+.f32 0 (.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 4) (*.f32 (/.f32 cosTheta_O v) 7/2))))
	0.4b	(.f32 (/.f32 (/.f32 1 v) (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) 2)))
	0.8b	(.f32 (/.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 1 v)) 4))) v) 2)
	1.5b	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v))))
	0.5b	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))))
	0.4b	(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v)) (.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 (/.f32 cosTheta_i 2) (sinh.f32 (/.f32 1 v)))))
	0.5b	(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v)) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 1 v)))))
	0.5b	(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 v (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 1/2 v))))
	13.4b	(.f32 (/.f32 cosTheta_i v) (-.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_O 3/2)))
	0.6b	(.f32 (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (/.f32 (/.f32 1/2 v) (/.f32 (sinh.f32 (/.f32 1 v)) cosTheta_i)))
	0.5b	(.f32 (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (/.f32 1 (/.f32 (sinh.f32 (/.f32 1 v)) (*.f32 (/.f32 1/2 v) cosTheta_i))))
✓	0.4b	(.f32 (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))))
	13.4b	(.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 3/2) cosTheta_i))
	0.4b	(.f32 (/.f32 1 (sinh.f32 (/.f32 1 v))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v))))
	13.4b	(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
	0.4b	(.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 -1 v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (neg.f32 v)))))
	13.4b	(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
	1.6b	(.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (/.f32 v 2))))
	13.4b	(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
	13.4b	(.f32 (-.f32 (.f32 3/2 cosTheta_O) cosTheta_O) (/.f32 cosTheta_i v))
	13.4b	(*.f32 (+.f32 (/.f32 cosTheta_i (/.f32 v -2)) (/.f32 3/2 (/.f32 v cosTheta_i))) (neg.f32 cosTheta_O))
	13.4b	(*.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i (/.f32 v 3/4))))
	13.4b	(.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_i (/.f32 3/4 v))))
	13.4b	(.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i (/.f32 1/4 v)))
	0.4b	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i cosTheta_O))
	0.5b	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
	0.4b	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) cosTheta_i) (/.f32 cosTheta_O (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))
	0.4b	(.f32 (.f32 cosTheta_i (/.f32 (/.f32 2 v) (/.f32 1 cosTheta_O))) (/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
	10.0b	(.f32 (.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O (+.f32 cosTheta_O (-.f32 cosTheta_O (.f32 cosTheta_O 4)))) (.f32 v -1/2))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
	0.6b	(.f32 (.f32 cosTheta_i (-.f32 (+.f32 (/.f32 4 (/.f32 v cosTheta_O)) (/.f32 4 (/.f32 v cosTheta_O))) (+.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 4 (/.f32 v cosTheta_O))))) (/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
	13.4b	(.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (-.f32 (/.f32 5/4 v) (/.f32 1 v)))
	8.5b	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (/.f32 1 v))))))
	0.6b	(.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) (/.f32 1/2 (-.f32 (.f32 (exp.f32 (/.f32 1 v)) v) (/.f32 v (exp.f32 (/.f32 1 v))))))
	12.3b	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (-.f32 (+.f32 1/4 (/.f32 7/1440 (pow.f32 v 4))) (/.f32 1/24 (pow.f32 v 2))))
	14.8b	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (-.f32 1/2 (/.f32 1/4 v)))
	13.8b	(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (-.f32 1/4 (/.f32 1/24 (pow.f32 v 2))))
	13.4b	(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
	13.4b	(.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 cosTheta_O (/.f32 v 5/2)) (.f32 (/.f32 cosTheta_O v) 3)))
	13.4b	(.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 (/.f32 cosTheta_O v) 9/2) (*.f32 (/.f32 cosTheta_O v) 5)))
	0.5b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (.f32 (.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) v))
	11.5b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (+.f32 (.f32 v (/.f32 2 cosTheta_O)) (/.f32 1/3 (.f32 v cosTheta_O)))))
	0.6b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (-.f32 (.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 2 v)) 2) (.f32 (/.f32 (/.f32 cosTheta_i v) v) 3))))
	10.0b	(*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (+.f32 (exp.f32 (/.f32 1 v)) -1)))
	10.0b	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v))))
	14.2b	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
	13.4b	(.f32 cosTheta_i (-.f32 (/.f32 (.f32 cosTheta_O 4) v) (/.f32 (*.f32 cosTheta_O 7/2) v)))
	13.4b	(.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 cosTheta_O v)))
	0.4b	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))))))
	14.2b	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
	13.4b	(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
	13.4b	(.f32 cosTheta_O (-.f32 (/.f32 (+.f32 cosTheta_i (.f32 cosTheta_i 2)) v) (*.f32 cosTheta_i (/.f32 5/2 v))))
	14.4b	(.f32 1/2 (/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (.f32 cosTheta_i cosTheta_O))) v))
	13.4b	(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	13.4b	(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
	14.5b	(*.f32 1/2 (-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
	14.4b	(*.f32 1/2 (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i)))
	13.4b	(neg.f32 (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -5/2)) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -2))))

Compiler

Compiled 4481 to 3089 computations (31.1% saved)

regimes1.9s (5.5%)

Counts

323 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 cosTheta_i (*.f32 v (/.f32 2 cosTheta_O)))
(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
(.f32 1/2 (/.f32 cosTheta_O (.f32 (/.f32 1 cosTheta_i) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) 1/4)
(.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i (/.f32 1/4 v)))
(.f32 (-.f32 (.f32 3/2 cosTheta_O) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
(.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 3/2) cosTheta_i))
(/.f32 -1 (/.f32 (/.f32 v -1/2) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 1/2 (/.f32 (/.f32 1 cosTheta_i) (/.f32 cosTheta_O v)))
(/.f32 1 (*.f32 (/.f32 v cosTheta_i) (/.f32 2 cosTheta_O)))
(/.f32 1 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) 1/2)))
(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
(/.f32 cosTheta_O (/.f32 -1 (*.f32 (/.f32 cosTheta_i v) -1/2)))
(/.f32 (*.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 1 cosTheta_i))
(/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1 cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1/4 v)) 1/2)
(/.f32 (-.f32 (*.f32 cosTheta_O 3/2) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (-.f32 (*.f32 cosTheta_i 3/2) cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))
(/.f32 (/.f32 1/2 (/.f32 1 cosTheta_O)) (/.f32 v cosTheta_i))
(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))
(.f32 1/2 (.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 -1 v))))
(/.f32 (/.f32 (*.f32 cosTheta_O -1/2) (/.f32 1 cosTheta_i)) (neg.f32 v))
(.f32 1/2 (.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 cosTheta_O 1/2)))
(*.f32 1/2 (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i)))
(*.f32 1/2 (-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(.f32 1/2 (/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (.f32 cosTheta_i cosTheta_O))) v))
(.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 cosTheta_O v)))
(.f32 (.f32 cosTheta_O (/.f32 1/4 v)) (-.f32 (*.f32 cosTheta_i 3) cosTheta_i))
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (/.f32 cosTheta_i v) (-.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_O 3/2)))
(-.f32 cosTheta_O (-.f32 cosTheta_O (.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v (/.f32 cosTheta_O 2)))))
(-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))))
(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3/2)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 1/2 cosTheta_O) cosTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 cosTheta_i cosTheta_O) 1/2)) v)
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O 3/2) cosTheta_i) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (+.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_O 3/2)) (/.f32 v cosTheta_i))
(/.f32 (-.f32 (+.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_i 3/2)) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) 2) (/.f32 1/2 (/.f32 cosTheta_O v)))
(/.f32 (/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v)) 1/2)
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) (+.f32 v v)) 1/2)
(/.f32 (/.f32 (/.f32 1/2 v) (/.f32 2 cosTheta_O)) (/.f32 1/2 cosTheta_i))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (*.f32 cosTheta_i 1/2))) 2) 1/2)
(.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 cosTheta_O v) 3/2)))
(/.f32 (/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) (-.f32 (neg.f32 v) v)) -1/2)
(.f32 1/2 (.f32 cosTheta_i (-.f32 (*.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v))))
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(.f32 (/.f32 1/4 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (/.f32 v 2))))
(.f32 (/.f32 1 (sinh.f32 (/.f32 1 v))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v))))
(.f32 (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (/.f32 1 (/.f32 (sinh.f32 (/.f32 1 v)) (*.f32 (/.f32 1/2 v) cosTheta_i))))
(.f32 (/.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 1 v)) 4))) v) 2)
(.f32 (/.f32 (/.f32 1 v) (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) 2)))
(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 cosTheta_i cosTheta_O))))
(/.f32 (/.f32 1 v) (/.f32 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (/.f32 1 cosTheta_i)) 2) (sinh.f32 (/.f32 1 v)))
(.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) (.f32 (/.f32 -1 v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (neg.f32 v)))))
(.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) (/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
(.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 v (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))))))
(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 v v)) (.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 (/.f32 cosTheta_i 2) (sinh.f32 (/.f32 1 v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 (.f32 (/.f32 1 v) (/.f32 1 (sinh.f32 (/.f32 1 v))))))
(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 cosTheta_i (/.f32 (/.f32 1 cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v)))))
(/.f32 (/.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i))) 2) (sinh.f32 (/.f32 1 v)))
(/.f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1/2 cosTheta_O)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
(/.f32 (/.f32 (/.f32 (/.f32 1/2 v) (/.f32 (/.f32 1/2 cosTheta_i) (.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)))) 2) (sinh.f32 (/.f32 1 v)))
(/.f32 (/.f32 (/.f32 1 (/.f32 -1 (neg.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v (/.f32 cosTheta_i v))))))) 2) (sinh.f32 (/.f32 1 v)))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))) (/.f32 -1 (neg.f32 (/.f32 1 v)))) 2) (sinh.f32 (/.f32 1 v)))
(.f32 (.f32 cosTheta_i (/.f32 (/.f32 2 v) (/.f32 1 cosTheta_O))) (/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 1 v)) -2) (-.f32 (/.f32 3 v) (/.f32 4 v))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (+.f32 (/.f32 12 v) (/.f32 -13 v)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (-.f32 (/.f32 3 v) (/.f32 4 v)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (-.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 2 v)) (/.f32 (/.f32 cosTheta_i v) v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O (/.f32 v -3)) (.f32 cosTheta_O (/.f32 4 v))))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (/.f32 15 v) (/.f32 16 v)) (/.f32 -1 (.f32 cosTheta_i cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 cosTheta_O (/.f32 2 v)) cosTheta_i) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 -7 cosTheta_O)) (.f32 8 (.f32 cosTheta_O (neg.f32 cosTheta_i)))) v)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 8 v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 7 v)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (/.f32 1 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 4 (/.f32 v (.f32 cosTheta_i cosTheta_O))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (.f32 3 (.f32 cosTheta_i cosTheta_O)) (.f32 (+.f32 cosTheta_i cosTheta_i) (+.f32 cosTheta_O cosTheta_O))) (neg.f32 v))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (-.f32 (.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 2 v)) 2) (.f32 (/.f32 (/.f32 cosTheta_i v) v) 3))))
(/.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) 2) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (sinh.f32 (/.f32 1 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (-.f32 (neg.f32 (/.f32 7 v)) (+.f32 (/.f32 -4 v) (/.f32 -4 v))) -1))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (.f32 cosTheta_i (-.f32 (+.f32 (/.f32 4 (/.f32 v cosTheta_O)) (/.f32 4 (/.f32 v cosTheta_O))) (+.f32 (.f32 cosTheta_O (/.f32 2 v)) (/.f32 4 (/.f32 v cosTheta_O))))) (/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (+.f32 (/.f32 4 (/.f32 v (.f32 cosTheta_i cosTheta_O))) (/.f32 4 (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (+.f32 (/.f32 4 (/.f32 v (.f32 cosTheta_i cosTheta_O))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (-.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (+.f32 cosTheta_O cosTheta_O) (sinh.f32 (/.f32 1 v)))) (.f32 (/.f32 (/.f32 cosTheta_i v) v) (*.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 1 v))) 3/2))))
(/.f32 (/.f32 (-.f32 (.f32 (/.f32 2 v) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)))) (.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 v cosTheta_i)))) 2) (sinh.f32 (/.f32 1 v)))
(-.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (.f32 (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 1 v)))) 2)) (.f32 (.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 v (sinh.f32 (/.f32 1 v))))) 3/2))

Outputs
(.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) (/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))

Calls

8 calls:

357.0ms	cosTheta_O
341.0ms	cosTheta_i
267.0ms	sinTheta_i
191.0ms	v
182.0ms	sinTheta_O

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`cosTheta_O`
0.4b	1	`sinTheta_i`
0.4b	1	`sinTheta_O`
0.4b	1	`v`
0.4b	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))`
0.4b	1	`(*.f32 sinTheta_i sinTheta_O)`
0.4b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 6526 to 3094 computations (52.6% saved)

regimes1.6s (4.5%)

Counts

291 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 cosTheta_i (*.f32 v (/.f32 2 cosTheta_O)))
(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
(.f32 1/2 (/.f32 cosTheta_O (.f32 (/.f32 1 cosTheta_i) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) 1/4)
(.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i (/.f32 1/4 v)))
(.f32 (-.f32 (.f32 3/2 cosTheta_O) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
(.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 3/2) cosTheta_i))
(/.f32 -1 (/.f32 (/.f32 v -1/2) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 1/2 (/.f32 (/.f32 1 cosTheta_i) (/.f32 cosTheta_O v)))
(/.f32 1 (*.f32 (/.f32 v cosTheta_i) (/.f32 2 cosTheta_O)))
(/.f32 1 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) 1/2)))
(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
(/.f32 cosTheta_O (/.f32 -1 (*.f32 (/.f32 cosTheta_i v) -1/2)))
(/.f32 (*.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 1 cosTheta_i))
(/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1 cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1/4 v)) 1/2)
(/.f32 (-.f32 (*.f32 cosTheta_O 3/2) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (-.f32 (*.f32 cosTheta_i 3/2) cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))
(/.f32 (/.f32 1/2 (/.f32 1 cosTheta_O)) (/.f32 v cosTheta_i))
(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))
(.f32 1/2 (.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 -1 v))))
(/.f32 (/.f32 (*.f32 cosTheta_O -1/2) (/.f32 1 cosTheta_i)) (neg.f32 v))
(.f32 1/2 (.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 cosTheta_O 1/2)))
(*.f32 1/2 (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i)))
(*.f32 1/2 (-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(.f32 1/2 (/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (.f32 cosTheta_i cosTheta_O))) v))
(.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 cosTheta_O v)))
(.f32 (.f32 cosTheta_O (/.f32 1/4 v)) (-.f32 (*.f32 cosTheta_i 3) cosTheta_i))
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (/.f32 cosTheta_i v) (-.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_O 3/2)))
(-.f32 cosTheta_O (-.f32 cosTheta_O (.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v (/.f32 cosTheta_O 2)))))
(-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))))
(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3/2)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 1/2 cosTheta_O) cosTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 cosTheta_i cosTheta_O) 1/2)) v)
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O 3/2) cosTheta_i) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (+.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_O 3/2)) (/.f32 v cosTheta_i))
(/.f32 (-.f32 (+.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_i 3/2)) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) 2) (/.f32 1/2 (/.f32 cosTheta_O v)))
(/.f32 (/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v)) 1/2)
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) (+.f32 v v)) 1/2)
(/.f32 (/.f32 (/.f32 1/2 v) (/.f32 2 cosTheta_O)) (/.f32 1/2 cosTheta_i))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (*.f32 cosTheta_i 1/2))) 2) 1/2)
(.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 cosTheta_O v) 3/2)))
(/.f32 (/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) (-.f32 (neg.f32 v) v)) -1/2)
(.f32 1/2 (.f32 cosTheta_i (-.f32 (*.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (-.f32 (/.f32 (.f32 cosTheta_O 4) v) (/.f32 (*.f32 cosTheta_O 7/2) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (-.f32 1/2 (/.f32 1/4 v)))
(.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (-.f32 (/.f32 5/4 v) (/.f32 1 v)))
(.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_i (/.f32 3/4 v))))
(*.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i (/.f32 v 3/4))))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_O (/.f32 -1/2 (/.f32 v cosTheta_i))))
(+.f32 (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v -1/2))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 cosTheta_O (/.f32 v (.f32 cosTheta_i 1/2))))
(-.f32 (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) 2/3)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 1/2))))
(-.f32 (/.f32 (.f32 cosTheta_O 3/2) (/.f32 v cosTheta_i)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3/2)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (/.f32 (.f32 cosTheta_i 3/2) (/.f32 v cosTheta_O)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 1/4 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) 1/2)
(/.f32 (-.f32 (.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (*.f32 cosTheta_i 3/2))) v)
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 cosTheta_i v)) (/.f32 -1 cosTheta_O))
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Outputs
(.f32 (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))))

Calls

8 calls:

201.0ms	sinTheta_O
190.0ms	cosTheta_O
184.0ms	sinTheta_i
179.0ms	v
171.0ms	cosTheta_i

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`cosTheta_O`
0.4b	1	`sinTheta_i`
0.4b	1	`sinTheta_O`
0.4b	1	`v`
0.4b	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))`
0.4b	1	`(*.f32 sinTheta_i sinTheta_O)`
0.4b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 5524 to 2645 computations (52.1% saved)

regimes1.2s (3.5%)

Counts

268 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 cosTheta_i (*.f32 v (/.f32 2 cosTheta_O)))
(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
(.f32 1/2 (/.f32 cosTheta_O (.f32 (/.f32 1 cosTheta_i) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) 1/4)
(.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i (/.f32 1/4 v)))
(.f32 (-.f32 (.f32 3/2 cosTheta_O) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
(.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 3/2) cosTheta_i))
(/.f32 -1 (/.f32 (/.f32 v -1/2) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 1/2 (/.f32 (/.f32 1 cosTheta_i) (/.f32 cosTheta_O v)))
(/.f32 1 (*.f32 (/.f32 v cosTheta_i) (/.f32 2 cosTheta_O)))
(/.f32 1 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) 1/2)))
(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
(/.f32 cosTheta_O (/.f32 -1 (*.f32 (/.f32 cosTheta_i v) -1/2)))
(/.f32 (*.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 1 cosTheta_i))
(/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1 cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1/4 v)) 1/2)
(/.f32 (-.f32 (*.f32 cosTheta_O 3/2) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (-.f32 (*.f32 cosTheta_i 3/2) cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))
(/.f32 (/.f32 1/2 (/.f32 1 cosTheta_O)) (/.f32 v cosTheta_i))
(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))
(.f32 1/2 (.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 -1 v))))
(/.f32 (/.f32 (*.f32 cosTheta_O -1/2) (/.f32 1 cosTheta_i)) (neg.f32 v))
(.f32 1/2 (.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 cosTheta_O 1/2)))
(*.f32 1/2 (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i)))
(*.f32 1/2 (-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(.f32 1/2 (/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (.f32 cosTheta_i cosTheta_O))) v))
(.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 cosTheta_O v)))
(.f32 (.f32 cosTheta_O (/.f32 1/4 v)) (-.f32 (*.f32 cosTheta_i 3) cosTheta_i))
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (/.f32 cosTheta_i v) (-.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_O 3/2)))
(-.f32 cosTheta_O (-.f32 cosTheta_O (.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v (/.f32 cosTheta_O 2)))))
(-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))))
(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3/2)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 1/2 cosTheta_O) cosTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 cosTheta_i cosTheta_O) 1/2)) v)
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O 3/2) cosTheta_i) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (+.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_O 3/2)) (/.f32 v cosTheta_i))
(/.f32 (-.f32 (+.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_i 3/2)) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) 2) (/.f32 1/2 (/.f32 cosTheta_O v)))
(/.f32 (/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v)) 1/2)
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) (+.f32 v v)) 1/2)
(/.f32 (/.f32 (/.f32 1/2 v) (/.f32 2 cosTheta_O)) (/.f32 1/2 cosTheta_i))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (*.f32 cosTheta_i 1/2))) 2) 1/2)
(.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 cosTheta_O v) 3/2)))
(/.f32 (/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) (-.f32 (neg.f32 v) v)) -1/2)
(.f32 1/2 (.f32 cosTheta_i (-.f32 (*.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (-.f32 (/.f32 (.f32 cosTheta_O 4) v) (/.f32 (*.f32 cosTheta_O 7/2) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (-.f32 1/2 (/.f32 1/4 v)))
(.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (-.f32 (/.f32 5/4 v) (/.f32 1 v)))
(.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_i (/.f32 3/4 v))))
(*.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i (/.f32 v 3/4))))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_O (/.f32 -1/2 (/.f32 v cosTheta_i))))
(+.f32 (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v -1/2))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 cosTheta_O (/.f32 v (.f32 cosTheta_i 1/2))))
(-.f32 (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) 2/3)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 1/2))))
(-.f32 (/.f32 (.f32 cosTheta_O 3/2) (/.f32 v cosTheta_i)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3/2)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (/.f32 (.f32 cosTheta_i 3/2) (/.f32 v cosTheta_O)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 1/4 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) 1/2)
(/.f32 (-.f32 (.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (*.f32 cosTheta_i 3/2))) v)
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 cosTheta_i v)) (/.f32 -1 cosTheta_O))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O 3/2) (/.f32 1 cosTheta_i)) (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (/.f32 1/2 (+.f32 (/.f32 v cosTheta_O) (/.f32 v cosTheta_O))) (/.f32 1/2 cosTheta_i))
(.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 cosTheta_O (/.f32 v 2))))
(.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 (/.f32 cosTheta_O v) 9/2) (*.f32 (/.f32 cosTheta_O v) 5)))
(.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 cosTheta_O (/.f32 v 5/2)) (.f32 (/.f32 cosTheta_O v) 3)))
(*.f32 (+.f32 (/.f32 cosTheta_i (/.f32 v -2)) (/.f32 3/2 (/.f32 v cosTheta_i))) (neg.f32 cosTheta_O))
(+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 1/2 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O)))))
(+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (.f32 (.f32 1/2 (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i)))
(-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v -1/2))) (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) v))
(-.f32 (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)) (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))))
(-.f32 (/.f32 (neg.f32 cosTheta_i) (/.f32 v (.f32 cosTheta_O -3/2))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(.f32 1/2 (-.f32 (.f32 (.f32 cosTheta_O (/.f32 2 v)) cosTheta_i) (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(.f32 1/2 (-.f32 (.f32 (/.f32 2 v) (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(.f32 cosTheta_O (-.f32 (/.f32 (+.f32 cosTheta_i (.f32 cosTheta_i 2)) v) (*.f32 cosTheta_i (/.f32 5/2 v))))
(.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i (+.f32 v v)) (.f32 cosTheta_i (/.f32 1/4 v))))
(+.f32 0 (.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 4) (*.f32 (/.f32 cosTheta_O v) 7/2))))
(+.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 7/2 v))) (*.f32 cosTheta_i (/.f32 -3 (/.f32 v cosTheta_O))))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))) (.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -2)))
(+.f32 (.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) -1/4) (.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 3/4))
(-.f32 (.f32 cosTheta_i (neg.f32 (/.f32 cosTheta_O (neg.f32 v)))) (.f32 1/2 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 3/2 v)))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 (.f32 (/.f32 cosTheta_O v) 3/2) cosTheta_i))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (/.f32 3/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (/.f32 (*.f32 cosTheta_i 3/2) (/.f32 v cosTheta_O)))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O 3/2)) v))
(-.f32 (.f32 (.f32 2 (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 3/2 v)))
(-.f32 (.f32 (+.f32 cosTheta_O cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O 3/2)))
(/.f32 (.f32 2 (/.f32 1/2 (/.f32 (+.f32 v v) (.f32 1/2 (*.f32 cosTheta_O cosTheta_i))))) 1/2)
(/.f32 (-.f32 (.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) (/.f32 (.f32 cosTheta_O 3/2) (/.f32 1 cosTheta_i))) v)
(/.f32 (-.f32 (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 cosTheta_O 2))) (.f32 cosTheta_O (.f32 cosTheta_i 5/2))) v)
(/.f32 (/.f32 (-.f32 cosTheta_O (-.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 cosTheta_O 2)))) (+.f32 v v)) 1/2)
(/.f32 (/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O 2)))) (+.f32 v v)) 1/2)
(/.f32 (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O 3/2)) (*.f32 cosTheta_i cosTheta_O)) (+.f32 v v)) 1/2)
(neg.f32 (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -5/2)) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -2))))
(.f32 1/2 (+.f32 (neg.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v)))))
(+.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 7/2 v))) (.f32 3 (.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)))))
(+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 4)) (neg.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 7/2))))
(+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 4)) (neg.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 7/2))))
(+.f32 (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O 7/2) v)) (neg.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))))
(+.f32 (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O 4) v)) (neg.f32 (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O 7/2) v))))
(+.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3)) (neg.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 5/2)))
(+.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 5)) (neg.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 9/2))))
(+.f32 (/.f32 (.f32 (.f32 cosTheta_O 7/2) cosTheta_i) v) (neg.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3))))
(.f32 (-.f32 (.f32 2 (/.f32 cosTheta_i v)) (+.f32 (/.f32 cosTheta_i v) (*.f32 1/2 (/.f32 cosTheta_i v)))) cosTheta_O)
(-.f32 (.f32 cosTheta_i (.f32 2 (/.f32 4 (/.f32 v cosTheta_O)))) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 15/2)))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 3/4 v) (-.f32 (.f32 cosTheta_O 3) cosTheta_O))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (-.f32 cosTheta_O (-.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 1/2 v))) 3))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 (/.f32 1 v) (.f32 cosTheta_i (*.f32 cosTheta_O 3/2))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 5/2) cosTheta_i)))
(-.f32 (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O 2) v)) (.f32 (/.f32 cosTheta_O v) (+.f32 cosTheta_i (.f32 1/2 cosTheta_i))))
(-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 3/2 v)) (.f32 cosTheta_i (.f32 -1/2 (/.f32 (*.f32 cosTheta_O -2) v))))
(-.f32 (+.f32 cosTheta_i (-.f32 (.f32 3/2 (.f32 cosTheta_i (/.f32 cosTheta_O v))) cosTheta_i)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (/.f32 (.f32 (+.f32 cosTheta_i cosTheta_i) cosTheta_O) (+.f32 v v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))))
(-.f32 (/.f32 (+.f32 cosTheta_O cosTheta_O) (/.f32 (+.f32 v v) cosTheta_i)) (.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v))))
(/.f32 (-.f32 (.f32 -1/2 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O))) (.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) 1/2)) (neg.f32 v))
(/.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) (.f32 (neg.f32 cosTheta_i) (.f32 1/2 (/.f32 cosTheta_O v)))) -1)
(/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) (.f32 (*.f32 cosTheta_O cosTheta_i) 3/2)) (+.f32 v v)) 1/2)
(/.f32 (/.f32 (-.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_i (*.f32 cosTheta_O 3/2))) (+.f32 v v)) 1/2)
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(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (/.f32 cosTheta_O v))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 cosTheta_i (-.f32 cosTheta_i (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 3/2 v)))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (/.f32 1 (/.f32 -1 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) -3/2))))
(-.f32 (.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 2) (/.f32 (.f32 1/2 cosTheta_O) v))) (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(-.f32 (.f32 cosTheta_i (-.f32 (/.f32 6 (/.f32 v cosTheta_O)) (.f32 (/.f32 cosTheta_O v) 9/2))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i 1/2)) v) (.f32 (/.f32 (+.f32 cosTheta_i (+.f32 cosTheta_i cosTheta_i)) v) (/.f32 cosTheta_O 2)))
(/.f32 (.f32 (/.f32 1/2 v) (-.f32 cosTheta_i (-.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O 2)) cosTheta_O))))) 1/2)
(/.f32 (-.f32 (.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v))) (/.f32 (.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v))) 2)) 1/2)
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 cosTheta_O v) 5/2))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 4) (*.f32 (/.f32 cosTheta_O v) 5/2))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 (/.f32 1/2 v) (+.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_O))))
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(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (/.f32 1 v))))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (+.f32 (.f32 v (*.f32 1/2 cosTheta_O)) (/.f32 cosTheta_O (/.f32 v -1/12))) (/.f32 (/.f32 cosTheta_i v) v)))
(.f32 (.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O (+.f32 cosTheta_O (-.f32 cosTheta_O (.f32 cosTheta_O 4)))) (.f32 v -1/2))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
(/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) 2) (sinh.f32 (/.f32 1 v)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) 2) (sinh.f32 (/.f32 1 v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (-.f32 (+.f32 1/4 (/.f32 7/1440 (pow.f32 v 4))) (/.f32 1/24 (pow.f32 v 2))))
(/.f32 (/.f32 1 v) (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
(/.f32 (/.f32 1 v) (*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (/.f32 1 v) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (.f32 cosTheta_i cosTheta_O)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v)))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (*.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 cosTheta_i v) v)))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (.f32 (.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) v))
(.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (/.f32 cosTheta_i (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))
(.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))) (/.f32 1/2 (sinh.f32 (/.f32 1 v))))
(.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (/.f32 cosTheta_i (.f32 2 (sinh.f32 (/.f32 1 v)))))
(.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) cosTheta_i) (/.f32 cosTheta_O (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i cosTheta_O))

Outputs
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i cosTheta_O))

Calls

6 calls:

239.0ms	sinTheta_O
197.0ms	cosTheta_O
194.0ms	sinTheta_i
173.0ms	v
172.0ms	cosTheta_i

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`cosTheta_O`
0.4b	1	`sinTheta_i`
0.4b	1	`sinTheta_O`
0.4b	1	`v`
0.4b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 4960 to 2399 computations (51.6% saved)

regimes1.1s (3.2%)

Counts

267 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 cosTheta_i (*.f32 v (/.f32 2 cosTheta_O)))
(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
(.f32 1/2 (/.f32 cosTheta_O (.f32 (/.f32 1 cosTheta_i) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) 1/4)
(.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i (/.f32 1/4 v)))
(.f32 (-.f32 (.f32 3/2 cosTheta_O) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
(.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 3/2) cosTheta_i))
(/.f32 -1 (/.f32 (/.f32 v -1/2) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 1/2 (/.f32 (/.f32 1 cosTheta_i) (/.f32 cosTheta_O v)))
(/.f32 1 (*.f32 (/.f32 v cosTheta_i) (/.f32 2 cosTheta_O)))
(/.f32 1 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) 1/2)))
(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
(/.f32 cosTheta_O (/.f32 -1 (*.f32 (/.f32 cosTheta_i v) -1/2)))
(/.f32 (*.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 1 cosTheta_i))
(/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1 cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1/4 v)) 1/2)
(/.f32 (-.f32 (*.f32 cosTheta_O 3/2) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (-.f32 (*.f32 cosTheta_i 3/2) cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))
(/.f32 (/.f32 1/2 (/.f32 1 cosTheta_O)) (/.f32 v cosTheta_i))
(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))
(.f32 1/2 (.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 -1 v))))
(/.f32 (/.f32 (*.f32 cosTheta_O -1/2) (/.f32 1 cosTheta_i)) (neg.f32 v))
(.f32 1/2 (.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 cosTheta_O 1/2)))
(*.f32 1/2 (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i)))
(*.f32 1/2 (-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(.f32 1/2 (/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (.f32 cosTheta_i cosTheta_O))) v))
(.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 cosTheta_O v)))
(.f32 (.f32 cosTheta_O (/.f32 1/4 v)) (-.f32 (*.f32 cosTheta_i 3) cosTheta_i))
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (/.f32 cosTheta_i v) (-.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_O 3/2)))
(-.f32 cosTheta_O (-.f32 cosTheta_O (.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v (/.f32 cosTheta_O 2)))))
(-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))))
(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3/2)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 1/2 cosTheta_O) cosTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 cosTheta_i cosTheta_O) 1/2)) v)
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O 3/2) cosTheta_i) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (+.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_O 3/2)) (/.f32 v cosTheta_i))
(/.f32 (-.f32 (+.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_i 3/2)) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) 2) (/.f32 1/2 (/.f32 cosTheta_O v)))
(/.f32 (/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v)) 1/2)
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) (+.f32 v v)) 1/2)
(/.f32 (/.f32 (/.f32 1/2 v) (/.f32 2 cosTheta_O)) (/.f32 1/2 cosTheta_i))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (*.f32 cosTheta_i 1/2))) 2) 1/2)
(.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 cosTheta_O v) 3/2)))
(/.f32 (/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) (-.f32 (neg.f32 v) v)) -1/2)
(.f32 1/2 (.f32 cosTheta_i (-.f32 (*.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (-.f32 (/.f32 (.f32 cosTheta_O 4) v) (/.f32 (*.f32 cosTheta_O 7/2) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (-.f32 1/2 (/.f32 1/4 v)))
(.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (-.f32 (/.f32 5/4 v) (/.f32 1 v)))
(.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_i (/.f32 3/4 v))))
(*.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i (/.f32 v 3/4))))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_O (/.f32 -1/2 (/.f32 v cosTheta_i))))
(+.f32 (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v -1/2))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v))))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 cosTheta_O (/.f32 v (.f32 cosTheta_i 1/2))))
(-.f32 (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) 2/3)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 1/2))))
(-.f32 (/.f32 (.f32 cosTheta_O 3/2) (/.f32 v cosTheta_i)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3/2)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (/.f32 (.f32 cosTheta_i 3/2) (/.f32 v cosTheta_O)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 1/4 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) 1/2)
(/.f32 (-.f32 (.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (*.f32 cosTheta_i 3/2))) v)
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 cosTheta_i v)) (/.f32 -1 cosTheta_O))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O 3/2) (/.f32 1 cosTheta_i)) (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (/.f32 1/2 (+.f32 (/.f32 v cosTheta_O) (/.f32 v cosTheta_O))) (/.f32 1/2 cosTheta_i))
(.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 cosTheta_O (/.f32 v 2))))
(.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 (/.f32 cosTheta_O v) 9/2) (*.f32 (/.f32 cosTheta_O v) 5)))
(.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 cosTheta_O (/.f32 v 5/2)) (.f32 (/.f32 cosTheta_O v) 3)))
(*.f32 (+.f32 (/.f32 cosTheta_i (/.f32 v -2)) (/.f32 3/2 (/.f32 v cosTheta_i))) (neg.f32 cosTheta_O))
(+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 1/2 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O)))))
(+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (.f32 (.f32 1/2 (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i)))
(-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v -1/2))) (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) v))
(-.f32 (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)) (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))))
(-.f32 (/.f32 (neg.f32 cosTheta_i) (/.f32 v (.f32 cosTheta_O -3/2))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(.f32 1/2 (-.f32 (.f32 (.f32 cosTheta_O (/.f32 2 v)) cosTheta_i) (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(.f32 1/2 (-.f32 (.f32 (/.f32 2 v) (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(.f32 cosTheta_O (-.f32 (/.f32 (+.f32 cosTheta_i (.f32 cosTheta_i 2)) v) (*.f32 cosTheta_i (/.f32 5/2 v))))
(.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i (+.f32 v v)) (.f32 cosTheta_i (/.f32 1/4 v))))
(+.f32 0 (.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 4) (*.f32 (/.f32 cosTheta_O v) 7/2))))
(+.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 7/2 v))) (*.f32 cosTheta_i (/.f32 -3 (/.f32 v cosTheta_O))))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))) (.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) -2)))
(+.f32 (.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) -1/4) (.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 3/4))
(-.f32 (.f32 cosTheta_i (neg.f32 (/.f32 cosTheta_O (neg.f32 v)))) (.f32 1/2 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 3/2 v)))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 (.f32 (/.f32 cosTheta_O v) 3/2) cosTheta_i))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (/.f32 3/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (/.f32 (*.f32 cosTheta_i 3/2) (/.f32 v cosTheta_O)))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O 3/2)) v))
(-.f32 (.f32 (.f32 2 (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 3/2 v)))
(-.f32 (.f32 (+.f32 cosTheta_O cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O 3/2)))
(/.f32 (.f32 2 (/.f32 1/2 (/.f32 (+.f32 v v) (.f32 1/2 (*.f32 cosTheta_O cosTheta_i))))) 1/2)
(/.f32 (-.f32 (.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) (/.f32 (.f32 cosTheta_O 3/2) (/.f32 1 cosTheta_i))) v)
(/.f32 (-.f32 (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 cosTheta_O 2))) (.f32 cosTheta_O (.f32 cosTheta_i 5/2))) v)
(/.f32 (/.f32 (-.f32 cosTheta_O (-.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 cosTheta_O 2)))) (+.f32 v v)) 1/2)
(/.f32 (/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O 2)))) (+.f32 v v)) 1/2)
(/.f32 (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O 3/2)) (*.f32 cosTheta_i cosTheta_O)) (+.f32 v v)) 1/2)
(neg.f32 (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -5/2)) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) -2))))
(.f32 1/2 (+.f32 (neg.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v)))))
(+.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 7/2 v))) (.f32 3 (.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)))))
(+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 4)) (neg.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 7/2))))
(+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 4)) (neg.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 7/2))))
(+.f32 (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O 7/2) v)) (neg.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))))
(+.f32 (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O 4) v)) (neg.f32 (.f32 cosTheta_i (/.f32 (.f32 cosTheta_O 7/2) v))))
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(.f32 (-.f32 (.f32 2 (/.f32 cosTheta_i v)) (+.f32 (/.f32 cosTheta_i v) (*.f32 1/2 (/.f32 cosTheta_i v)))) cosTheta_O)
(-.f32 (.f32 cosTheta_i (.f32 2 (/.f32 4 (/.f32 v cosTheta_O)))) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 15/2)))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 3/4 v) (-.f32 (.f32 cosTheta_O 3) cosTheta_O))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (-.f32 cosTheta_O (-.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 1/2 v))) 3))
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(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (+.f32 (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2))) (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2)))) (+.f32 (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2))) (-.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (+.f32 (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4))) (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)))) (+.f32 (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4))) (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2))))))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v))))
(*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (+.f32 (exp.f32 (/.f32 1 v)) -1)))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) 1/2) v))
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(+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 -1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (pow.f32 v 2) -1/2)))
(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) (-.f32 1/4 (.f32 1/24 (/.f32 1 (pow.f32 v 2)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2)))) (*.f32 1/2 v))
(/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2))) v)
(/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (+.f32 (exp.f32 (/.f32 1 v)) -1)) (+.f32 v v))
(/.f32 (/.f32 (/.f32 1 (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v)) (/.f32 v cosTheta_O)) (/.f32 1 cosTheta_i))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (.f32 v (*.f32 1/2 cosTheta_O)) (/.f32 (/.f32 cosTheta_i v) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (*.f32 (/.f32 (/.f32 cosTheta_O 2) (/.f32 1 v)) (/.f32 (/.f32 cosTheta_i v) v)))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (+.f32 (.f32 v (/.f32 2 cosTheta_O)) (/.f32 1/3 (.f32 v cosTheta_O)))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (/.f32 1 v))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O cosTheta_O) v)) (+.f32 -2 (/.f32 (exp.f32 (/.f32 1 v)) 1/2))) (+.f32 v v)) 1/2)
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (/.f32 1 v))))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (+.f32 (.f32 v (*.f32 1/2 cosTheta_O)) (/.f32 cosTheta_O (/.f32 v -1/12))) (/.f32 (/.f32 cosTheta_i v) v)))
(.f32 (.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O (+.f32 cosTheta_O (-.f32 cosTheta_O (.f32 cosTheta_O 4)))) (.f32 v -1/2))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
(/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) 2) (sinh.f32 (/.f32 1 v)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)) 2) (sinh.f32 (/.f32 1 v)))
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(/.f32 (/.f32 1 v) (*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (/.f32 1 v) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (.f32 cosTheta_i cosTheta_O)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v)))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (*.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 cosTheta_i v) v)))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 1 v)) (/.f32 2 cosTheta_O)))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (.f32 (.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) v))
(.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (/.f32 cosTheta_i (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))
(.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))) (/.f32 1/2 (sinh.f32 (/.f32 1 v))))
(.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (/.f32 cosTheta_i (.f32 2 (sinh.f32 (/.f32 1 v)))))
(.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) cosTheta_i) (/.f32 cosTheta_O (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))

Outputs
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) cosTheta_i) (/.f32 cosTheta_O (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))

Calls

6 calls:

180.0ms	cosTheta_O
175.0ms	sinTheta_i
173.0ms	cosTheta_i
170.0ms	sinTheta_O
161.0ms	v

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`cosTheta_O`
0.4b	1	`sinTheta_i`
0.4b	1	`sinTheta_O`
0.4b	1	`v`
0.4b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 4938 to 2391 computations (51.6% saved)

regimes1.2s (3.5%)

Counts

265 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 cosTheta_i (*.f32 v (/.f32 2 cosTheta_O)))
(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
(.f32 1/2 (/.f32 cosTheta_O (.f32 (/.f32 1 cosTheta_i) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) 1/4)
(.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i (/.f32 1/4 v)))
(.f32 (-.f32 (.f32 3/2 cosTheta_O) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
(.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 3/2) cosTheta_i))
(/.f32 -1 (/.f32 (/.f32 v -1/2) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 1/2 (/.f32 (/.f32 1 cosTheta_i) (/.f32 cosTheta_O v)))
(/.f32 1 (*.f32 (/.f32 v cosTheta_i) (/.f32 2 cosTheta_O)))
(/.f32 1 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) 1/2)))
(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
(/.f32 cosTheta_O (/.f32 -1 (*.f32 (/.f32 cosTheta_i v) -1/2)))
(/.f32 (*.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 1 cosTheta_i))
(/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1 cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1/4 v)) 1/2)
(/.f32 (-.f32 (*.f32 cosTheta_O 3/2) cosTheta_O) (/.f32 v cosTheta_i))
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(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))
(/.f32 (/.f32 1/2 (/.f32 1 cosTheta_O)) (/.f32 v cosTheta_i))
(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))
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(*.f32 1/2 (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i)))
(*.f32 1/2 (-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(.f32 1/2 (/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (.f32 cosTheta_i cosTheta_O))) v))
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(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3/2)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 1/2 cosTheta_O) cosTheta_i)) v)
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(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) 2) (/.f32 1/2 (/.f32 cosTheta_O v)))
(/.f32 (/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v)) 1/2)
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(*.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i (/.f32 v 3/4))))
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(/.f32 (/.f32 1/2 (+.f32 (/.f32 v cosTheta_O) (/.f32 v cosTheta_O))) (/.f32 1/2 cosTheta_i))
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(*.f32 (+.f32 (/.f32 cosTheta_i (/.f32 v -2)) (/.f32 3/2 (/.f32 v cosTheta_i))) (neg.f32 cosTheta_O))
(+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 1/2 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O)))))
(+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (.f32 (.f32 1/2 (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i)))
(-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v -1/2))) (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) v))
(-.f32 (/.f32 -1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)) (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))))
(-.f32 (/.f32 (neg.f32 cosTheta_i) (/.f32 v (.f32 cosTheta_O -3/2))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(.f32 1/2 (-.f32 (.f32 (.f32 cosTheta_O (/.f32 2 v)) cosTheta_i) (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(.f32 1/2 (-.f32 (.f32 (/.f32 2 v) (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(.f32 cosTheta_O (-.f32 (/.f32 (+.f32 cosTheta_i (.f32 cosTheta_i 2)) v) (*.f32 cosTheta_i (/.f32 5/2 v))))
(.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i (+.f32 v v)) (.f32 cosTheta_i (/.f32 1/4 v))))
(+.f32 0 (.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 4) (*.f32 (/.f32 cosTheta_O v) 7/2))))
(+.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 7/2 v))) (*.f32 cosTheta_i (/.f32 -3 (/.f32 v cosTheta_O))))
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(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
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(/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) 2) (sinh.f32 (/.f32 1 v)))
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(/.f32 (/.f32 1 v) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (.f32 cosTheta_i cosTheta_O)))
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(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (.f32 (/.f32 1/2 (sinh.f32 (/.f32 1 v))) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v)))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (*.f32 (/.f32 (/.f32 cosTheta_O 2) (sinh.f32 (/.f32 1 v))) (/.f32 (/.f32 cosTheta_i v) v)))
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(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (.f32 (.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 1 v)))) v))
(.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (/.f32 cosTheta_i (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))
(.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))) (/.f32 1/2 (sinh.f32 (/.f32 1 v))))
(.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) (/.f32 cosTheta_i (.f32 2 (sinh.f32 (/.f32 1 v)))))
(.f32 (.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v) (/.f32 1/2 (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i (/.f32 cosTheta_O v)))

Outputs
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))))))

Calls

6 calls:

202.0ms	sinTheta_O
194.0ms	v
183.0ms	cosTheta_i
181.0ms	sinTheta_i
149.0ms	cosTheta_O

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`cosTheta_O`
0.4b	1	`sinTheta_i`
0.4b	1	`sinTheta_O`
0.4b	1	`v`
0.4b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 4894 to 2371 computations (51.6% saved)

regimes1.2s (3.5%)

Counts

256 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 cosTheta_i (*.f32 v (/.f32 2 cosTheta_O)))
(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
(.f32 1/2 (/.f32 cosTheta_O (.f32 (/.f32 1 cosTheta_i) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) 1/4)
(.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i (/.f32 1/4 v)))
(.f32 (-.f32 (.f32 3/2 cosTheta_O) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
(.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 3/2) cosTheta_i))
(/.f32 -1 (/.f32 (/.f32 v -1/2) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 1/2 (/.f32 (/.f32 1 cosTheta_i) (/.f32 cosTheta_O v)))
(/.f32 1 (*.f32 (/.f32 v cosTheta_i) (/.f32 2 cosTheta_O)))
(/.f32 1 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) 1/2)))
(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
(/.f32 cosTheta_O (/.f32 -1 (*.f32 (/.f32 cosTheta_i v) -1/2)))
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(/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1 cosTheta_O))
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(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))
(/.f32 (/.f32 1/2 (/.f32 1 cosTheta_O)) (/.f32 v cosTheta_i))
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(*.f32 (+.f32 cosTheta_O cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i (/.f32 v 3/4))))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_O (/.f32 -1/2 (/.f32 v cosTheta_i))))
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(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (-.f32 (+.f32 1/4 (/.f32 7/1440 (pow.f32 v 4))) (/.f32 1/24 (pow.f32 v 2))))
(/.f32 (/.f32 1 v) (.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
(/.f32 (/.f32 1 v) (*.f32 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (/.f32 1 v) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))) (.f32 cosTheta_i cosTheta_O)))

Outputs
(/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) 2) (sinh.f32 (/.f32 1 v)))

Calls

6 calls:

246.0ms	sinTheta_O
200.0ms	cosTheta_O
186.0ms	cosTheta_i
174.0ms	v
155.0ms	sinTheta_i

Results

Error	Segments	Branch
0.7b	1	`cosTheta_i`
0.7b	1	`cosTheta_O`
0.7b	1	`sinTheta_i`
0.7b	1	`sinTheta_O`
0.7b	1	`v`
0.7b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 4696 to 2290 computations (51.2% saved)

regimes1.1s (3.1%)

Counts

250 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 cosTheta_i (*.f32 v (/.f32 2 cosTheta_O)))
(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
(.f32 1/2 (/.f32 cosTheta_O (.f32 (/.f32 1 cosTheta_i) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) 1/4)
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(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
(.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 3/2) cosTheta_i))
(/.f32 -1 (/.f32 (/.f32 v -1/2) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 1/2 (/.f32 (/.f32 1 cosTheta_i) (/.f32 cosTheta_O v)))
(/.f32 1 (*.f32 (/.f32 v cosTheta_i) (/.f32 2 cosTheta_O)))
(/.f32 1 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) 1/2)))
(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
(/.f32 cosTheta_O (/.f32 -1 (*.f32 (/.f32 cosTheta_i v) -1/2)))
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(/.f32 (/.f32 1/2 (/.f32 1 cosTheta_O)) (/.f32 v cosTheta_i))
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(*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (+.f32 (exp.f32 (/.f32 1 v)) -1)))
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(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v)) 2) (/.f32 1 v))
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(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (/.f32 1 v))))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (.f32 (+.f32 (.f32 v (*.f32 1/2 cosTheta_O)) (/.f32 cosTheta_O (/.f32 v -1/12))) (/.f32 (/.f32 cosTheta_i v) v)))
(.f32 (.f32 cosTheta_i (/.f32 (+.f32 cosTheta_O (+.f32 cosTheta_O (-.f32 cosTheta_O (.f32 cosTheta_O 4)))) (.f32 v -1/2))) (/.f32 (/.f32 1/2 v) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))

Outputs
(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))

Calls

6 calls:

195.0ms	v
173.0ms	sinTheta_O
171.0ms	cosTheta_O
151.0ms	sinTheta_i
150.0ms	cosTheta_i

Results

Error	Segments	Branch
2.6b	1	`cosTheta_i`
2.6b	1	`cosTheta_O`
2.6b	1	`sinTheta_i`
2.6b	1	`sinTheta_O`
2.6b	1	`v`
2.6b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 4584 to 2215 computations (51.7% saved)

regimes906.0ms (2.6%)

Counts

235 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 cosTheta_i (*.f32 v (/.f32 2 cosTheta_O)))
(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
(.f32 1/2 (/.f32 cosTheta_O (.f32 (/.f32 1 cosTheta_i) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) 1/4)
(.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i (/.f32 1/4 v)))
(.f32 (-.f32 (.f32 3/2 cosTheta_O) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
(.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 3/2) cosTheta_i))
(/.f32 -1 (/.f32 (/.f32 v -1/2) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 1/2 (/.f32 (/.f32 1 cosTheta_i) (/.f32 cosTheta_O v)))
(/.f32 1 (*.f32 (/.f32 v cosTheta_i) (/.f32 2 cosTheta_O)))
(/.f32 1 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) 1/2)))
(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
(/.f32 cosTheta_O (/.f32 -1 (*.f32 (/.f32 cosTheta_i v) -1/2)))
(/.f32 (*.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 1 cosTheta_i))
(/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1 cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1/4 v)) 1/2)
(/.f32 (-.f32 (*.f32 cosTheta_O 3/2) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (-.f32 (*.f32 cosTheta_i 3/2) cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))
(/.f32 (/.f32 1/2 (/.f32 1 cosTheta_O)) (/.f32 v cosTheta_i))
(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))
(.f32 1/2 (.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 -1 v))))
(/.f32 (/.f32 (*.f32 cosTheta_O -1/2) (/.f32 1 cosTheta_i)) (neg.f32 v))
(.f32 1/2 (.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 cosTheta_O 1/2)))
(*.f32 1/2 (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i)))
(*.f32 1/2 (-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(.f32 1/2 (/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (.f32 cosTheta_i cosTheta_O))) v))
(.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 cosTheta_O v)))
(.f32 (.f32 cosTheta_O (/.f32 1/4 v)) (-.f32 (*.f32 cosTheta_i 3) cosTheta_i))
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
(.f32 (/.f32 cosTheta_i v) (-.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_O 3/2)))
(-.f32 cosTheta_O (-.f32 cosTheta_O (.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v (/.f32 cosTheta_O 2)))))
(-.f32 cosTheta_i (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O (+.f32 v v)))))
(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
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(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v))))
(*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (+.f32 (exp.f32 (/.f32 1 v)) -1)))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) 1/2) v))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (-.f32 1/4 (/.f32 1/24 (pow.f32 v 2))))
(+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 -1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (pow.f32 v 2) -1/2)))
(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))))

Outputs
(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))))

Calls

6 calls:

163.0ms	cosTheta_O
143.0ms	cosTheta_i
142.0ms	sinTheta_O
138.0ms	v
123.0ms	sinTheta_i

Results

Error	Segments	Branch
2.6b	1	`cosTheta_i`
2.6b	1	`cosTheta_O`
2.6b	1	`sinTheta_i`
2.6b	1	`sinTheta_O`
2.6b	1	`v`
2.6b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 4278 to 2050 computations (52.1% saved)

regimes1.4s (3.9%)

Counts

234 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 cosTheta_i (*.f32 v (/.f32 2 cosTheta_O)))
(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
(.f32 1/2 (/.f32 cosTheta_O (.f32 (/.f32 1 cosTheta_i) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) 1/4)
(.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i (/.f32 1/4 v)))
(.f32 (-.f32 (.f32 3/2 cosTheta_O) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
(.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 3/2) cosTheta_i))
(/.f32 -1 (/.f32 (/.f32 v -1/2) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 1/2 (/.f32 (/.f32 1 cosTheta_i) (/.f32 cosTheta_O v)))
(/.f32 1 (*.f32 (/.f32 v cosTheta_i) (/.f32 2 cosTheta_O)))
(/.f32 1 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) 1/2)))
(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
(/.f32 cosTheta_O (/.f32 -1 (*.f32 (/.f32 cosTheta_i v) -1/2)))
(/.f32 (*.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 1 cosTheta_i))
(/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1 cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1/4 v)) 1/2)
(/.f32 (-.f32 (*.f32 cosTheta_O 3/2) cosTheta_O) (/.f32 v cosTheta_i))
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(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))
(/.f32 (/.f32 1/2 (/.f32 1 cosTheta_O)) (/.f32 v cosTheta_i))
(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))
(.f32 1/2 (.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 -1 v))))
(/.f32 (/.f32 (*.f32 cosTheta_O -1/2) (/.f32 1 cosTheta_i)) (neg.f32 v))
(.f32 1/2 (.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 cosTheta_O 1/2)))
(*.f32 1/2 (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i)))
(*.f32 1/2 (-.f32 cosTheta_O (-.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(.f32 1/2 (/.f32 (-.f32 cosTheta_i (-.f32 cosTheta_i (.f32 cosTheta_i cosTheta_O))) v))
(.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 3/2) (/.f32 cosTheta_O v)))
(.f32 (.f32 cosTheta_O (/.f32 1/4 v)) (-.f32 (*.f32 cosTheta_i 3) cosTheta_i))
(.f32 (-.f32 (.f32 3/2 (/.f32 cosTheta_i v)) (/.f32 cosTheta_i v)) cosTheta_O)
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(-.f32 cosTheta_O (-.f32 cosTheta_O (.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))))
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(/.f32 (-.f32 (.f32 3/2 (.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3/2)) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 1/2 cosTheta_O) cosTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 cosTheta_i cosTheta_O) 1/2)) v)
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O 3/2) cosTheta_i) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (-.f32 (+.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_O 3/2)) (/.f32 v cosTheta_i))
(/.f32 (-.f32 (+.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_i 3/2)) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (*.f32 1/2 cosTheta_i) 2) (/.f32 1/2 (/.f32 cosTheta_O v)))
(/.f32 (/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) (+.f32 v v)) 1/2)
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(/.f32 (/.f32 (/.f32 1/2 v) (/.f32 2 cosTheta_O)) (/.f32 1/2 cosTheta_i))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (*.f32 cosTheta_i 1/2))) 2) 1/2)
(.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 cosTheta_O v) 3/2)))
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(.f32 1/2 (.f32 cosTheta_i (-.f32 (*.f32 cosTheta_O (/.f32 2 v)) (/.f32 cosTheta_O v))))
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(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (-.f32 1/2 (/.f32 1/4 v)))
(.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (-.f32 (/.f32 5/4 v) (/.f32 1 v)))
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(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v))))
(*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (+.f32 (exp.f32 (/.f32 1 v)) -1)))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) 1/2) v))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) (-.f32 1/4 (/.f32 1/24 (pow.f32 v 2))))
(+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 -1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
(+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (pow.f32 v 2) -1/2)))

Outputs
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v))))

Calls

6 calls:

475.0ms	sinTheta_O
192.0ms	cosTheta_O
175.0ms	v
174.0ms	sinTheta_i
131.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Error	Segments	Branch
10.0b	1	`cosTheta_i`
10.0b	1	`cosTheta_O`
10.0b	1	`sinTheta_i`
10.0b	1	`sinTheta_O`
10.0b	1	`v`
10.0b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 4262 to 2041 computations (52.1% saved)

regimes802.0ms (2.3%)

Counts

228 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 cosTheta_i (*.f32 v (/.f32 2 cosTheta_O)))
(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
(.f32 1/2 (/.f32 cosTheta_O (.f32 (/.f32 1 cosTheta_i) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) 1/4)
(.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i (/.f32 1/4 v)))
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(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
(.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 3/2) cosTheta_i))
(/.f32 -1 (/.f32 (/.f32 v -1/2) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 1/2 (/.f32 (/.f32 1 cosTheta_i) (/.f32 cosTheta_O v)))
(/.f32 1 (*.f32 (/.f32 v cosTheta_i) (/.f32 2 cosTheta_O)))
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(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
(/.f32 cosTheta_O (/.f32 -1 (*.f32 (/.f32 cosTheta_i v) -1/2)))
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(/.f32 (/.f32 1/2 (/.f32 1 cosTheta_O)) (/.f32 v cosTheta_i))
(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))
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(*.f32 1/2 (+.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) cosTheta_i)))
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(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5/2)) (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5/2)) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 7/2)))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (+.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 5/2)) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 5/2))) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 7/2))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 (.f32 cosTheta_O (/.f32 5/2 v)) (.f32 cosTheta_i 4)) (neg.f32 (.f32 cosTheta_i (+.f32 (.f32 7/2 (/.f32 cosTheta_O v)) (.f32 (/.f32 cosTheta_O v) 5))))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 5/2)) (.f32 cosTheta_i 4)) (neg.f32 (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 5) (/.f32 (*.f32 cosTheta_O 7/2) v))))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 5/2))) (.f32 (/.f32 cosTheta_O v) (+.f32 cosTheta_i (.f32 cosTheta_i 5)))) (.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i 5))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) 2) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i 3))) (.f32 cosTheta_i (*.f32 1/2 (/.f32 cosTheta_O v)))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 5)) (/.f32 cosTheta_i (/.f32 (/.f32 v 5/2) cosTheta_O))) (.f32 (/.f32 cosTheta_O v) (+.f32 cosTheta_i (.f32 cosTheta_i 5)))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (.f32 (.f32 2 (/.f32 cosTheta_O v)) (-.f32 cosTheta_i (.f32 cosTheta_i 4))) (.f32 (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2)) (neg.f32 cosTheta_i))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) -3/2)) (*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 2))))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2))))))
(-.f32 (-.f32 (+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2))) (.f32 cosTheta_i (.f32 1/2 (/.f32 cosTheta_O v)))) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) 2))))
(-.f32 (-.f32 (+.f32 (/.f32 (.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) v) (/.f32 (.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) v)) (/.f32 cosTheta_O (/.f32 v (.f32 cosTheta_i 1/2)))) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_O (+.f32 cosTheta_i cosTheta_i)) v)))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 7/2)) 2) (+.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 7/2)) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3))))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (.f32 cosTheta_i (-.f32 (.f32 (/.f32 cosTheta_O v) 3/2) (.f32 (.f32 2 (/.f32 cosTheta_O v)) 4))) (.f32 (/.f32 cosTheta_O v) (-.f32 (neg.f32 cosTheta_i) (*.f32 cosTheta_i 6))))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 2))) (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4))) (neg.f32 (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2))))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (.f32 (.f32 2 (/.f32 cosTheta_O v)) 4))) (.f32 (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (*.f32 (/.f32 cosTheta_O v) 7/2)) (neg.f32 cosTheta_i)))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2))) (-.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4))) (-.f32 (.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i)) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 6))))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (-.f32 (+.f32 (.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3)) 2) (.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3)) 2)) (+.f32 (.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3)) 2) (.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 3/2)) 3))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 4))) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v 2))) (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 3/2)))))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4))) (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2)))))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (+.f32 (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2))) (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2)))) (+.f32 (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2))) (-.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))))
(-.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) 2)) (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (+.f32 (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4))) (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)))) (+.f32 (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4))) (+.f32 (.f32 (/.f32 cosTheta_O (/.f32 v 2)) (.f32 cosTheta_i 4)) (.f32 cosTheta_i (+.f32 (.f32 (/.f32 cosTheta_O v) 4) (.f32 (/.f32 cosTheta_O v) 7/2))))))))

Outputs
(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))

Calls

6 calls:

130.0ms	sinTheta_i
128.0ms	sinTheta_O
120.0ms	v
119.0ms	cosTheta_O
116.0ms	cosTheta_i

Results

Error	Segments	Branch
13.2b	1	`cosTheta_i`
13.2b	1	`cosTheta_O`
13.2b	1	`sinTheta_i`
13.2b	1	`sinTheta_O`
13.2b	1	`v`
13.2b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 4174 to 1994 computations (52.2% saved)

regimes115.0ms (0.3%)

Counts

39 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 cosTheta_i (*.f32 v (/.f32 2 cosTheta_O)))
(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
(.f32 1/2 (/.f32 cosTheta_O (.f32 (/.f32 1 cosTheta_i) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) 1/4)
(.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i (/.f32 1/4 v)))
(.f32 (-.f32 (.f32 3/2 cosTheta_O) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
(.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 3/2) cosTheta_i))
(/.f32 -1 (/.f32 (/.f32 v -1/2) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 1/2 (/.f32 (/.f32 1 cosTheta_i) (/.f32 cosTheta_O v)))
(/.f32 1 (*.f32 (/.f32 v cosTheta_i) (/.f32 2 cosTheta_O)))
(/.f32 1 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) 1/2)))
(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
(/.f32 cosTheta_O (/.f32 -1 (*.f32 (/.f32 cosTheta_i v) -1/2)))
(/.f32 (*.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 1 cosTheta_i))
(/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1 cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1/4 v)) 1/2)
(/.f32 (-.f32 (*.f32 cosTheta_O 3/2) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (-.f32 (*.f32 cosTheta_i 3/2) cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))
(/.f32 (/.f32 1/2 (/.f32 1 cosTheta_O)) (/.f32 v cosTheta_i))

Outputs
(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))

Calls

6 calls:

20.0ms	cosTheta_O
19.0ms	sinTheta_O
19.0ms	v
18.0ms	cosTheta_i
17.0ms	sinTheta_i

Results

Error	Segments	Branch
13.2b	1	`cosTheta_i`
13.2b	1	`cosTheta_O`
13.2b	1	`sinTheta_i`
13.2b	1	`sinTheta_O`
13.2b	1	`v`
13.2b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 350 to 193 computations (44.9% saved)

regimes115.0ms (0.3%)

Counts

37 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 cosTheta_i (*.f32 v (/.f32 2 cosTheta_O)))
(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (.f32 (.f32 1/2 cosTheta_O) cosTheta_i) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 2 cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) (/.f32 2 cosTheta_O))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 2) v)
(.f32 1/2 (/.f32 cosTheta_O (.f32 (/.f32 1 cosTheta_i) v)))
(.f32 (.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 2 v))) 1/4)
(.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i (/.f32 1/4 v)))
(.f32 (-.f32 (.f32 3/2 cosTheta_O) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 (/.f32 1/2 (/.f32 v cosTheta_O)) (-.f32 cosTheta_i 0))
(.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i 3/2) cosTheta_i))
(/.f32 -1 (/.f32 (/.f32 v -1/2) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 1/4 (/.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 1/2 (/.f32 (/.f32 1 cosTheta_i) (/.f32 cosTheta_O v)))
(/.f32 1 (*.f32 (/.f32 v cosTheta_i) (/.f32 2 cosTheta_O)))
(/.f32 1 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) 1/2)))
(/.f32 cosTheta_O (*.f32 (/.f32 1 cosTheta_i) (+.f32 v v)))
(/.f32 cosTheta_O (/.f32 -1 (*.f32 (/.f32 cosTheta_i v) -1/2)))
(/.f32 (*.f32 cosTheta_O (/.f32 1/2 v)) (/.f32 1 cosTheta_i))
(/.f32 (*.f32 cosTheta_i (/.f32 1/2 v)) (/.f32 1 cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1/4 v)) 1/2)
(/.f32 (-.f32 (*.f32 cosTheta_O 3/2) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (-.f32 (*.f32 cosTheta_i 3/2) cosTheta_i) (/.f32 v cosTheta_O))

Outputs
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))

Calls

6 calls:

21.0ms	sinTheta_O
20.0ms	v
18.0ms	cosTheta_O
17.0ms	cosTheta_i
17.0ms	sinTheta_i

Results

Error	Segments	Branch
13.3b	1	`cosTheta_i`
13.3b	1	`cosTheta_O`
13.3b	1	`sinTheta_i`
13.3b	1	`sinTheta_O`
13.3b	1	`v`
13.3b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 332 to 182 computations (45.2% saved)

regimes50.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))

Outputs
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))

Calls

6 calls:

11.0ms	v
8.0ms	sinTheta_O
8.0ms	cosTheta_i
7.0ms	cosTheta_O
7.0ms	sinTheta_i

Results

Error	Segments	Branch
13.3b	1	`cosTheta_i`
13.3b	1	`cosTheta_O`
13.3b	1	`sinTheta_i`
13.3b	1	`sinTheta_O`
13.3b	1	`v`
13.3b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 121 to 70 computations (42.1% saved)

regimes44.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_O (/.f32 1/2 (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O (/.f32 1/2 v)) cosTheta_i)
(.f32 (/.f32 1/2 v) (.f32 cosTheta_i cosTheta_O))

Outputs
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))

Calls

6 calls:

8.0ms	cosTheta_O
7.0ms	v
7.0ms	sinTheta_i
7.0ms	sinTheta_O
7.0ms	cosTheta_i

Results

Error	Segments	Branch
13.4b	1	`cosTheta_i`
13.4b	1	`cosTheta_O`
13.4b	1	`sinTheta_i`
13.4b	1	`sinTheta_O`
13.4b	1	`v`
13.4b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 114 to 67 computations (41.2% saved)

regimes31.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))

Outputs
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))

Calls

6 calls:

6.0ms	cosTheta_i
5.0ms	sinTheta_i
5.0ms	v
5.0ms	sinTheta_O
5.0ms	cosTheta_O

Results

Error	Segments	Branch
13.4b	1	`cosTheta_i`
13.4b	1	`cosTheta_O`
13.4b	1	`sinTheta_i`
13.4b	1	`sinTheta_O`
13.4b	1	`v`
13.4b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 79 to 51 computations (35.4% saved)

regimes26.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))

Outputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))

Calls

6 calls:

5.0ms	sinTheta_i
5.0ms	v
5.0ms	cosTheta_i
4.0ms	sinTheta_O
4.0ms	cosTheta_O

Results

Error	Segments	Branch
13.4b	1	`cosTheta_i`
13.4b	1	`cosTheta_O`
13.4b	1	`sinTheta_i`
13.4b	1	`sinTheta_O`
13.4b	1	`v`
13.4b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes25.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Outputs
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Calls

6 calls:

7.0ms	v
4.0ms	cosTheta_O
4.0ms	sinTheta_i
3.0ms	cosTheta_i
3.0ms	sinTheta_O

Results

Error	Segments	Branch
14.2b	1	`cosTheta_i`
14.2b	1	`cosTheta_O`
14.2b	1	`sinTheta_i`
14.2b	1	`sinTheta_O`
14.2b	1	`v`
14.2b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes17.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))

Outputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))

Calls

5 calls:

4.0ms	v
3.0ms	cosTheta_O
3.0ms	sinTheta_i
3.0ms	sinTheta_O
3.0ms	cosTheta_i

Results

Error	Segments	Branch
14.2b	1	`cosTheta_i`
14.2b	1	`cosTheta_O`
14.2b	1	`sinTheta_i`
14.2b	1	`sinTheta_O`
14.2b	1	`v`

Compiler

Compiled 45 to 34 computations (24.4% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	694

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) (/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
(.f32 (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))))
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i cosTheta_O))
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) cosTheta_i) (/.f32 cosTheta_O (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))))))
(/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) 2) (sinh.f32 (/.f32 1 v)))
(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v))))
(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))

Outputs
(.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 2 v))) (/.f32 1/2 (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) v))))
(.f32 (/.f32 cosTheta_O (/.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))) (*.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))))
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (/.f32 (/.f32 1/2 v) (sinh.f32 (/.f32 1 v)))) (.f32 cosTheta_i cosTheta_O))
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) cosTheta_i) (/.f32 cosTheta_O (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v))))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (.f32 2 (/.f32 (sinh.f32 (/.f32 1 v)) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))))))
(/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v 2))) 2) (sinh.f32 (/.f32 1 v)))
(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (/.f32 1 v) (/.f32 (.f32 2 (sinh.f32 (/.f32 1 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v (-.f32 (*.f32 v (exp.f32 (/.f32 1 v))) v))))
(/.f32 (/.f32 1 v) (/.f32 2 (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 1/4 v) (/.f32 (/.f32 1/2 cosTheta_O) cosTheta_i))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 1/2 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(*.f32 1/2 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))

Compiler

Compiled 327 to 240 computations (26.6% saved)

soundness164.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1588×	`rational.json-simplify-14`
1466×	`rational.json-simplify-15`
1382×	`rational.json-simplify-29`
1094×	`rational.json-simplify-43`
1002×	`rational.json-simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	55	67
2	174	67
3	878	67
4	6474	67
0	879	36512
1	3027	34858

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 264 to 104 computations (60.6% saved)

end126.0ms (0.4%)

Remove: (sort sinTheta_i sinTheta_O)
Compiler: Compiled 428 to 274 computations (36% saved)