Details

analyze695.0ms (3.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	3%	97%	0%	0%	0%	0
0%	0%	3%	97%	0%	0%	0%	1
0%	0%	3%	97%	0%	0%	0%	2
0%	0%	3%	97%	0%	0%	0%	3
0%	0%	3%	97%	0%	0%	0%	4
0%	0%	3%	97%	0%	0%	0%	5
0%	0%	1.5%	97%	0%	1.5%	0%	6
0%	0%	1.5%	97%	0%	1.5%	0%	7
0%	0%	1.5%	97%	0%	1.5%	0%	8
0%	0%	1.5%	97%	0%	1.5%	0%	9
0%	0%	1.5%	97%	0%	1.5%	0%	10
38.3%	0.6%	0.9%	97%	0%	1.5%	0%	11
38.3%	0.6%	0.9%	97%	0%	1.5%	0%	12

Compiler

Compiled 69 to 51 computations (26.1% saved)

sample3.8s (18.1%)

Results

3.7s	8256×	body	256	valid
33.0ms	133×	body	256	invalid

Bogosity

preprocess102.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1144×	`rational_best-simplify-1`
956×	`rational_best-simplify-50`
710×	`rational_best-simplify-47`
678×	`rational_best-simplify-108`
616×	`rational_best-simplify-66`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	693
1	296	583
2	660	583
3	1904	583
4	6646	583
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
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_O cosTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 v cosTheta_O) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 1 cosTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 (.f32 cosTheta_O sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 1 cosTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_O)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 sinTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (.f32 sinTheta_i v) sinTheta_O)) (/.f32 1 sinTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_O)))))

Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1/2 v))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) 1)) v) 6931/10000)) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1/2 v))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) 1)) v) 6931/10000)) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O sinTheta_i) (.f32 cosTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O sinTheta_i) (*.f32 cosTheta_i sinTheta_O)) 1) v))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O sinTheta_i) (*.f32 cosTheta_i sinTheta_O)) -1) v))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_O cosTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O sinTheta_O) (.f32 cosTheta_i sinTheta_i)) v) (/.f32 1 v)))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O sinTheta_O) (*.f32 cosTheta_i sinTheta_i)) 1) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O sinTheta_O) (*.f32 cosTheta_i sinTheta_i)) -1) v))) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 v cosTheta_O) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 1 cosTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_i)))))
(exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O v) (.f32 sinTheta_i sinTheta_O)) cosTheta_i) (/.f32 1 cosTheta_i))) (log.f32 (/.f32 1/2 cosTheta_i))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O v) (*.f32 sinTheta_i sinTheta_O)) 1) cosTheta_i))) (/.f32 1/2 cosTheta_i))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O v) (*.f32 sinTheta_i sinTheta_O)) -1) cosTheta_i))) (/.f32 1/2 cosTheta_i))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O v) (*.f32 sinTheta_i sinTheta_O)) -1) cosTheta_i))) cosTheta_i))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 (.f32 cosTheta_O sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i sinTheta_i) (.f32 cosTheta_O sinTheta_O)) v) (/.f32 1 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i sinTheta_i) (*.f32 cosTheta_O sinTheta_O)) 1) v))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i sinTheta_i) (+.f32 1 (*.f32 cosTheta_O sinTheta_O))) v))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i sinTheta_i) (*.f32 cosTheta_O sinTheta_O)) -1) v))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i sinTheta_O) (.f32 cosTheta_O sinTheta_i)) v) (/.f32 1 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i sinTheta_O) (*.f32 cosTheta_O sinTheta_i)) 1) v))))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i sinTheta_O) (*.f32 cosTheta_O sinTheta_i)) -1) v))) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 1 cosTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_O)))))
(exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i v) (.f32 sinTheta_i sinTheta_O)) cosTheta_O) (/.f32 1 cosTheta_O))) (log.f32 (/.f32 1/2 cosTheta_O))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i v) (*.f32 sinTheta_i sinTheta_O)) 1) cosTheta_O))) (/.f32 1/2 cosTheta_O))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i v) (*.f32 sinTheta_i sinTheta_O)) -1) cosTheta_O))) cosTheta_O))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1/2 v))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) 1)) v) 6931/10000)) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 sinTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_i)))))
(exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v sinTheta_O)) sinTheta_i) (/.f32 1 sinTheta_i))) (log.f32 (/.f32 1/2 sinTheta_i))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v sinTheta_O)) 1) sinTheta_i))) (/.f32 1/2 sinTheta_i))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v sinTheta_O)) -1) sinTheta_i))) (/.f32 1/2 sinTheta_i))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v sinTheta_O)) -1) sinTheta_i))) sinTheta_i))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (.f32 sinTheta_i v) sinTheta_O)) (/.f32 1 sinTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_O)))))
(exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v sinTheta_i)) sinTheta_O) (/.f32 1 sinTheta_O))) (log.f32 (/.f32 1/2 sinTheta_O))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v sinTheta_i)) 1) sinTheta_O))) (/.f32 1/2 sinTheta_O))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 v sinTheta_i))) sinTheta_O))) (/.f32 1/2 sinTheta_O))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v sinTheta_i)) -1) sinTheta_O))) (/.f32 1/2 sinTheta_O))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v sinTheta_i)) -1) sinTheta_O))) sinTheta_O))

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1294×	`rational_best-simplify-56`
1042×	`rational_best-simplify-50`
848×	`rational_best-simplify-55`
580×	`rational_best-simplify-1`
552×	`rational_best-simplify-48`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	63
1	50	53
2	110	53
3	290	53
4	932	53
5	4065	53

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))

Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1/2 v))))
(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) (/.f32 1/2 v))
(.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v))

eval2.0ms (0%)

Compiler: Compiled 105 to 61 computations (41.9% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) (/.f32 1/2 v))
▶	0.1b	(.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v))
▶	0.2b	(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1/2 v))))

Status

Error

Program

▶

0.3b

(*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) (/.f32 1/2 v))

▶

0.1b

(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v))

▶

0.2b

(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1/2 v))))

Compiler

Compiled 72 to 53 computations (26.4% saved)

localize237.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	0.1b	(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1/2 v))))
✓	0.1b	(log.f32 (/.f32 1/2 v))
✓	3.5b	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)

Compiler

Compiled 114 to 46 computations (59.6% saved)

series159.0ms (0.8%)

Counts

4 → 168

Calls

45 calls:

Time	Variable		Point	Expression
58.0ms	v	@	inf	(log.f32 (/.f32 1/2 v))
51.0ms	cosTheta_i	@	0	(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1/2 v))))
20.0ms	v	@	0	(log.f32 (/.f32 1/2 v))
14.0ms	v	@	-inf	(log.f32 (/.f32 1/2 v))
3.0ms	v	@	0	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)

rewrite156.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`rational_best-simplify-1`
612×	`rational_best-simplify-52`
534×	`rational_best-simplify-47`
468×	`rational_best-4`
468×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	112
1	153	108
2	345	108
3	1185	108
4	7074	108

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(log.f32 (/.f32 1/2 v))
(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1/2 v))))
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))

Outputs
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simplify356.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1400×	`rational_best-simplify-47`
1328×	`rational_best-simplify-1`
978×	`rational_best-simplify-63`
948×	`rational_best-simplify-64`
668×	`rational_best-simplify-54`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	478	16376
1	1177	14596
2	3556	14516

Stop Event

1×	node limit

Counts

364 → 294

Calls

Call 1

Inputs
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 4) (/.f32 4 v))
(.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (.f32 2 (*.f32 v 4))) 8)
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(.f32 (/.f32 1 (/.f32 2 v)) (/.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 v 2)))
(.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 2) (.f32 2 (.f32 v 4))) 4)
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(.f32 (.f32 v (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 2)) (/.f32 (/.f32 1/2 v) v))
(.f32 (.f32 v (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 1 v))
(.f32 (.f32 v (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (/.f32 v 2))) (/.f32 1/2 v))
(.f32 (.f32 v (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 4)) (/.f32 (/.f32 1/4 v) v))
(.f32 (.f32 2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 2)) (/.f32 1 v))
(.f32 (.f32 (/.f32 1 v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 2)) 2)
(.f32 (.f32 (/.f32 1/2 v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 2)) 4)
(.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 2)) (/.f32 4 v))
(.f32 (.f32 (/.f32 1/4 v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 2)) 8)
(.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1/2) (/.f32 2 v))
(.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (/.f32 1/4 v)) 4)
(.f32 (/.f32 (/.f32 1 v) v) (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))
(.f32 (/.f32 (/.f32 1/2 v) v) (.f32 v (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 2)))
(.f32 (/.f32 (/.f32 1/4 v) v) (.f32 v (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 4)))
(pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) 1)
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(neg.f32 (.f32 (/.f32 1 v) (-.f32 (.f32 sinTheta_i sinTheta_O) (*.f32 cosTheta_i cosTheta_O))))
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(-.f32 (log.f32 (/.f32 1/2 v)) 0)
(-.f32 0 (neg.f32 (log.f32 (/.f32 1/2 v))))
(-.f32 (/.f32 (log.f32 (/.f32 1/2 v)) 2) (/.f32 (neg.f32 (log.f32 (/.f32 1/2 v))) 2))
(.f32 1/2 (.f32 (log.f32 (/.f32 1/2 v)) 2))
(*.f32 (log.f32 (/.f32 1/2 v)) 1)
(*.f32 1 (log.f32 (/.f32 1/2 v)))
(*.f32 (neg.f32 (log.f32 (/.f32 1/2 v))) -1)
(.f32 (.f32 (log.f32 (/.f32 1/2 v)) 2) 1/2)
(.f32 (.f32 2 (*.f32 (log.f32 (/.f32 1/2 v)) 2)) 1/4)
(.f32 1/4 (.f32 2 (*.f32 (log.f32 (/.f32 1/2 v)) 2)))
(/.f32 (log.f32 (/.f32 1/2 v)) 1)
(/.f32 (neg.f32 (log.f32 (/.f32 1/2 v))) -1)
(/.f32 (*.f32 (log.f32 (/.f32 1/2 v)) 2) 2)
(/.f32 (.f32 2 (.f32 (log.f32 (/.f32 1/2 v)) 2)) 4)
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (/.f32 1/2 v)) 2)) (.f32 2 (.f32 (log.f32 (/.f32 1/2 v)) 2))) 8)
(pow.f32 (log.f32 (/.f32 1/2 v)) 1)
(neg.f32 (neg.f32 (log.f32 (/.f32 1/2 v))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)) 0)
(+.f32 0 (.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)))
(+.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (.f32 v 4)) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (.f32 v 4)))
(-.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)) 0)
(-.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (.f32 v 4)) (/.f32 (/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v) -2) 2))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)))
(.f32 1 (.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)))
(.f32 (/.f32 1 v) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2))
(.f32 (/.f32 1 v) (.f32 1/2 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))))
(.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)) 1)
(.f32 2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (.f32 v 4)))
(.f32 2 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 1/4 v)))
(.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 1/2 v))
(.f32 (/.f32 2 v) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 4))
(.f32 4 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (.f32 2 (*.f32 v 4))))
(.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v) 1/2)
(.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(.f32 (exp.f32 6931/10000) (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) (exp.f32 6931/10000))
(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)))
(.f32 (/.f32 1/4 v) (.f32 2 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))))
(.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2) (/.f32 1 v))
(.f32 (.f32 2 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))) (/.f32 1/4 v))
(.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)) 1/4)
(.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (.f32 v 4)) 2)
(.f32 1/4 (.f32 2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)))
(.f32 (.f32 1/2 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))) (/.f32 1 v))
(.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 4) (/.f32 2 v))
(.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (.f32 2 (*.f32 v 4))) 4)
(.f32 (+.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) (.f32 (exp.f32 6931/10000) (/.f32 1/4 v)))
(.f32 (+.f32 (exp.f32 6931/10000) (exp.f32 6931/10000)) (.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) (/.f32 1/4 v)))
(.f32 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 1/4 v)) 2)
(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/4 v)) (+.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))))
(.f32 (.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) (/.f32 1/4 v)) (+.f32 (exp.f32 6931/10000) (exp.f32 6931/10000)))
(.f32 (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2))) (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 2))))
(/.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)) 1)
(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (+.f32 v v))
(/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v) 2)
(/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2) v)
(/.f32 (.f32 2 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))) (.f32 v 4))
(/.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)) 4)
(/.f32 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 2 v)) 4)
(/.f32 (+.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)) (.f32 2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v))) 8)
(/.f32 (.f32 2 (.f32 2 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)))) (.f32 2 (.f32 v 4)))
(pow.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)) 1)
(fabs.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)))
(+.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O)))
(+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 0)
(+.f32 0 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)))
(+.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) (.f32 cosTheta_i cosTheta_O))
(+.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) (neg.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O))))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 2) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 2))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (neg.f32 (*.f32 sinTheta_i sinTheta_O))))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (/.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) 2) (/.f32 (+.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) (*.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O))) 2))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 4) (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 3) 4))
(+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) 2)) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) 2)))
(+.f32 (-.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) (.f32 sinTheta_i sinTheta_O)) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 cosTheta_i cosTheta_O) 2))
(.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1)
(.f32 1/2 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 2))
(.f32 1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 2) 1/2)
(.f32 -1 (-.f32 (.f32 sinTheta_i sinTheta_O) (*.f32 cosTheta_i cosTheta_O)))
(.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (*.f32 cosTheta_i cosTheta_O)) -1)
(.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 4) 1/4)
(.f32 1/4 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 4))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1)
(/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 2) 2)
(/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)) -1)
(/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 4) 4)
(/.f32 (.f32 2 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 4)) 8)
(/.f32 (-.f32 (.f32 (+.f32 cosTheta_i cosTheta_i) (+.f32 cosTheta_O cosTheta_O)) (.f32 sinTheta_O (*.f32 2 (+.f32 sinTheta_i sinTheta_i)))) 4)
(pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1)
(neg.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)))

Outputs
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
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(+.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O)))
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
(/.f32 (.f32 2 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 4)) 8)
(+.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O)))
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
(/.f32 (-.f32 (.f32 (+.f32 cosTheta_i cosTheta_i) (+.f32 cosTheta_O cosTheta_O)) (.f32 sinTheta_O (*.f32 2 (+.f32 sinTheta_i sinTheta_i)))) 4)
(/.f32 (-.f32 (.f32 (+.f32 cosTheta_O cosTheta_O) (+.f32 cosTheta_i cosTheta_i)) (.f32 sinTheta_O (*.f32 2 (+.f32 sinTheta_i sinTheta_i)))) 4)
(/.f32 (-.f32 (.f32 (+.f32 cosTheta_O cosTheta_O) (+.f32 cosTheta_i cosTheta_i)) (.f32 4 (*.f32 sinTheta_i sinTheta_O))) 4)
(-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) 4) 4))
(pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1)
(+.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O)))
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
(neg.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)))
(+.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O)))
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))

localize130.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)
✓	0.0b	(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)
	0.1b	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	0.1b	(exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))

Compiler

Compiled 107 to 43 computations (59.8% saved)

series18.0ms (0.1%)

Counts

3 → 180

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)
1.0ms	v	@	-inf	(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)
1.0ms	cosTheta_i	@	0	(exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))
1.0ms	sinTheta_i	@	0	(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)
1.0ms	sinTheta_i	@	0	(exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))

rewrite271.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`rational_best-simplify-56`
838×	`rational_best-simplify-1`
522×	`rational_best-simplify-65`
494×	`rational_best-simplify-47`
484×	`rational_best-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	125
1	126	125
2	303	125
3	1078	125
4	6021	125

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

Inputs
(exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))
(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)
(+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)

Inputs

(exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))

(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)

(+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 4) (/.f32 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 3) 4) (/.f32 (neg.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) (exp.f32 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2) (/.f32 (exp.f32 6931/10000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 6931/10000) 2) (/.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v))) (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v))) (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v)))) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2) (.f32 (exp.f32 6931/10000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 6931/10000) 2) (.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v)))) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)) (exp.f32 (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (+.f32 v v)) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (+.f32 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (+.f32 v v)) 2) (/.f32 (.f32 3/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (.f32 v 4)) (/.f32 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 3) (.f32 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (+.f32 v v)) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i 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Outputs

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simplify202.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1100×	`rational_best-simplify-1`
926×	`rational_best-simplify-63`
794×	`rational_best-simplify-57`
698×	`rational_best-simplify-64`
658×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	446	19477
1	1142	19229
2	3374	18077

Stop Event

1×	node limit

Counts

333 → 259

Calls

Call 1

Inputs
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
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(-.f32 (/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) -1) v) (+.f32 -6931/10000 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) -1) v) (+.f32 (+.f32 -6931/10000 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 0))
(-.f32 (-.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v)) -6931/10000) (/.f32 (+.f32 1 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O))) (+.f32 v v)))
(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) -6931/10000) (/.f32 (+.f32 (.f32 sinTheta_i sinTheta_O) 1) v))
(-.f32 (-.f32 (/.f32 -1 v) -6931/10000) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)) v))
(-.f32 (-.f32 (/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) -1) v) -6931/10000) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(-.f32 (-.f32 0 (+.f32 (/.f32 1 v) -6931/10000)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)) v))
(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 1 v) -6931/10000)) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (+.f32 v v)) (/.f32 1 v)) (-.f32 -6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))))
(-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (+.f32 v v)) (/.f32 1 v)) (+.f32 (-.f32 -6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))) 0))
(.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 1)
(.f32 1 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))
(.f32 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2) 1/2)
(.f32 1/2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2))
(.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)) 1/4)
(.f32 1/4 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)))
(/.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 1)
(/.f32 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2) 2)
(/.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)) 4)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)) (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2))) 8)
(/.f32 (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) v) (/.f32 1 v))
(/.f32 (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) (+.f32 v v)) (/.f32 1/2 v))
(/.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2) v) (/.f32 2 v))
(/.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2) (+.f32 v v)) (/.f32 1 v))
(/.f32 (/.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)) v) (/.f32 4 v))
(/.f32 (/.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)) (+.f32 v v)) (/.f32 2 v))
(pow.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 1)
(neg.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)))
(neg.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))))

Outputs
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) v) (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2)))))
(+.f32 (+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) v)) (.f32 1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_O 2) (pow.f32 cosTheta_i 2))) (pow.f32 v 2))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) v) (.f32 1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2))) (pow.f32 v 2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) v))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_O 2) (pow.f32 cosTheta_i 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) v) (.f32 1/6 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_O 3) (pow.f32 cosTheta_i 3))) (pow.f32 v 3))))))
(+.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) v) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 1/6 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) v) (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2)))))
(+.f32 (+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) v)) (.f32 1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_O 2) (pow.f32 cosTheta_i 2))) (pow.f32 v 2))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) v) (.f32 1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2))) (pow.f32 v 2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) v))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_O 2) (pow.f32 cosTheta_i 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) v) (.f32 1/6 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_O 3) (pow.f32 cosTheta_i 3))) (pow.f32 v 3))))))
(+.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) v) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 1/6 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
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(-.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(/.f32 (/.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)) v) (/.f32 4 v))
(-.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(/.f32 (/.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)) (+.f32 v v)) (/.f32 2 v))
(-.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(pow.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 1)
(-.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(neg.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)))
(-.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(neg.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))))
(-.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (+.f32 6931/10000 (.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))

localize145.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)
	0.1b	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	0.1b	(exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))
✓	0.2b	(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) (/.f32 1/2 v))

Compiler

Compiled 94 to 38 computations (59.6% saved)

series10.0ms (0%)

Counts

3 → 180

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	cosTheta_i	@	0	(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) (/.f32 1/2 v))
1.0ms	sinTheta_i	@	0	(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) (/.f32 1/2 v))
0.0ms	cosTheta_i	@	-inf	(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) (/.f32 1/2 v))
0.0ms	sinTheta_O	@	-inf	(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) (/.f32 1/2 v))
0.0ms	v	@	inf	(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) (/.f32 1/2 v))

rewrite155.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`rational_best-simplify-1`
574×	`rational_best-simplify-62`
526×	`rational_best-simplify-65`
514×	`rational_best-simplify-52`
488×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	131
1	144	131
2	330	131
3	1117	131
4	6653	131

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs

(*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) (/.f32 1/2 v))

(exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))

(+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 1/2 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (*.f32 v 4)) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (*.f32 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 1/2 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 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(#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2) (*.f32 v 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 2 v)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2)) (*.f32 2 (*.f32 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2)) (*.f32 (+.f32 v v) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (*.f32 v v)) (/.f32 2 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (*.f32 v v)) 2) (/.f32 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 2 v)) v) (/.f32 4 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 2 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2)) v) (/.f32 (*.f32 2 (*.f32 v 4)) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v) (+.f32 v v)) (/.f32 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 2 v)) (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 2 v))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2)) (*.f32 2 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2))) (+.f32 (*.f32 2 (*.f32 v 4)) (*.f32 2 (*.f32 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 1/2 v)) v) (/.f32 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 2 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2)) 4) (*.f32 4 (*.f32 2 (*.f32 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 2 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2)) (/.f32 2 v)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 1/2 v)) (+.f32 v v)) (/.f32 1/2 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (/.f32 1/2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2) (/.f32 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simplify258.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1364×	`rational_best-simplify-55`
1336×	`rational_best-simplify-50`
1070×	`rational_best-simplify-47`
858×	`rational_best-simplify-1`
584×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	18000
1	1034	17830
2	3118	16516

Stop Event

1×	node limit

Counts

294 → 228

Calls

Call 1

Inputs
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
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(neg.f32 (-.f32 (/.f32 1 v) (-.f32 6931/10000 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)) v))))
(neg.f32 (-.f32 (/.f32 (+.f32 (.f32 sinTheta_i sinTheta_O) 1) v) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) -6931/10000)))
(neg.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (-.f32 (/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) -1) v) -6931/10000)))
(neg.f32 (+.f32 -6931/10000 (/.f32 (+.f32 1 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O))) v)))

Outputs
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) (.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) (/.f32 1/2 (pow.f32 v 2))))
(.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3)))))
(+.f32 (.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 2))) (/.f32 1/4 (pow.f32 v 3))) (+.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) (.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) (/.f32 1/2 (pow.f32 v 2)))))
(+.f32 (.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)))) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 (pow.f32 cosTheta_O 2) (pow.f32 cosTheta_i 2))) (/.f32 1/4 (pow.f32 v 3))))
(+.f32 (.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)))) (.f32 (pow.f32 cosTheta_O 2) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_i 2)) (/.f32 1/4 (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))))))
(+.f32 (+.f32 (.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 2))) (/.f32 1/4 (pow.f32 v 3))) (.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 3))) (/.f32 1/12 (pow.f32 v 4)))) (+.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) (.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) (/.f32 1/2 (pow.f32 v 2)))))
(+.f32 (.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)))) (+.f32 (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_O 2) (pow.f32 cosTheta_i 2))) (/.f32 1/4 (pow.f32 v 3))) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 (pow.f32 cosTheta_O 3) (pow.f32 cosTheta_i 3))) (/.f32 1/12 (pow.f32 v 4)))))
(+.f32 (.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)))) (+.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_i 2)) (/.f32 1/4 (pow.f32 v 3)))) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 3)) (*.f32 (pow.f32 cosTheta_i 3) (/.f32 1/12 (pow.f32 v 4))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) (.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) (/.f32 1/2 (pow.f32 v 2))))
(.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3)))))
(+.f32 (.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 2))) (/.f32 1/4 (pow.f32 v 3))) (+.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) (.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) (/.f32 1/2 (pow.f32 v 2)))))
(+.f32 (.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)))) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 (pow.f32 cosTheta_O 2) (pow.f32 cosTheta_i 2))) (/.f32 1/4 (pow.f32 v 3))))
(+.f32 (.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)))) (.f32 (pow.f32 cosTheta_O 2) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_i 2)) (/.f32 1/4 (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))))))
(+.f32 (+.f32 (.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 2))) (/.f32 1/4 (pow.f32 v 3))) (.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 3))) (/.f32 1/12 (pow.f32 v 4)))) (+.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) (.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) (/.f32 1/2 (pow.f32 v 2)))))
(+.f32 (.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)))) (+.f32 (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (pow.f32 cosTheta_O 2) (pow.f32 cosTheta_i 2))) (/.f32 1/4 (pow.f32 v 3))) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 (pow.f32 cosTheta_O 3) (pow.f32 cosTheta_i 3))) (/.f32 1/12 (pow.f32 v 4)))))
(+.f32 (.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v) (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v 2)))) (+.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_i 2)) (/.f32 1/4 (pow.f32 v 3)))) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 3)) (*.f32 (pow.f32 cosTheta_i 3) (/.f32 1/12 (pow.f32 v 4))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
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(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(-.f32 (/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) -1) v) (+.f32 -6931/10000 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(-.f32 (/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) -1) v) (+.f32 (+.f32 -6931/10000 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 0))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(-.f32 (.f32 -2 (/.f32 (+.f32 1 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O))) v)) (+.f32 -6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)))
(-.f32 (.f32 (+.f32 1 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O))) (/.f32 -2 v)) (+.f32 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v) -6931/10000))
(+.f32 6931/10000 (-.f32 (.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (+.f32 (.f32 cosTheta_i cosTheta_O) -1)) (/.f32 -2 v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v)))
(-.f32 (-.f32 6931/10000 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)) v)) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) -6931/10000) (/.f32 (+.f32 (.f32 sinTheta_i sinTheta_O) 1) v))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(-.f32 (-.f32 (/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) -1) v) -6931/10000) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(-.f32 (neg.f32 (/.f32 1/2 v)) (-.f32 (/.f32 1/2 v) (-.f32 6931/10000 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)) v))))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2) (/.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) 2))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2) (neg.f32 (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(-.f32 (-.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v)) -6931/10000) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (*.f32 v -2)))
(-.f32 (-.f32 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (+.f32 v v)) -6931/10000) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (*.f32 v -2)))
(+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) (+.f32 v v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) (*.f32 v -2))))
(-.f32 (-.f32 0 (+.f32 (/.f32 1 v) -6931/10000)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)) v))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (+.f32 v v)) (/.f32 1 v)) (-.f32 -6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))))
(-.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 2) (+.f32 v v)) (-.f32 -6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))))
(-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (+.f32 v v)) (-.f32 -6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 2 (.f32 sinTheta_i sinTheta_O))) (+.f32 v v))))
(.f32 1 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 1)
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(.f32 1/2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(.f32 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2) 1/2)
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)) 1/4)
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(.f32 1/4 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(/.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 1)
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(/.f32 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2) 2)
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(/.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)) 4)
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)) (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2))) 8)
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(/.f32 (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) v) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) (/.f32 0 v))
(-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v) (+.f32 (/.f32 0 v) -6931/10000))
(/.f32 (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) (+.f32 v v)) (/.f32 1/2 v))
(-.f32 (+.f32 6931/10000 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) (/.f32 0 v))
(-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v) (+.f32 (/.f32 0 v) -6931/10000))
(/.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2) v) (/.f32 2 v))
(-.f32 (+.f32 6931/10000 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) (/.f32 0 v))
(-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v) (+.f32 (/.f32 0 v) -6931/10000))
(/.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2) (+.f32 v v)) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) (/.f32 0 v))
(-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v) (+.f32 (/.f32 0 v) -6931/10000))
(/.f32 (/.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)) v) (/.f32 4 v))
(-.f32 (+.f32 6931/10000 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) (/.f32 0 v))
(-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v) (+.f32 (/.f32 0 v) -6931/10000))
(/.f32 (/.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 2)) (+.f32 v v)) (/.f32 2 v))
(-.f32 (+.f32 6931/10000 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) (/.f32 0 v))
(-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v) (+.f32 (/.f32 0 v) -6931/10000))
(pow.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000) 1)
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(neg.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(neg.f32 (-.f32 (/.f32 1 v) (-.f32 6931/10000 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)) v))))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(neg.f32 (-.f32 (/.f32 (+.f32 (.f32 sinTheta_i sinTheta_O) 1) v) (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) -6931/10000)))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(neg.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (-.f32 (/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) -1) v) -6931/10000)))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(neg.f32 (+.f32 -6931/10000 (/.f32 (+.f32 1 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O))) v)))
(-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))

eval620.0ms (3%)

Compiler: Compiled 27425 to 15892 computations (42.1% saved)

prune399.0ms (1.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	847	14	861
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	850	14	864

Error

0.1b

Counts

864 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(.f32 (.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v)))) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v)))) (/.f32 1/2 v))
	0.3b	(.f32 (.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) (exp.f32 6931/10000)) (/.f32 1/2 v))
▶	28.4b	(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
▶	0.3b	(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
▶	0.2b	(.f32 (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2))) (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 2))))
	27.8b	(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 1/2 v))
	30.5b	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
	28.3b	(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
	27.8b	(.f32 1/2 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v))
▶	30.5b	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	16.0b	(.f32 1/2 (.f32 (/.f32 (/.f32 1 v) v) (.f32 v (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)))))
	13.8b	(.f32 1/2 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (*.f32 v v)) v))
▶	0.5b	(.f32 1/2 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)))
	0.2b	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) 1) v)))

Compiler

Compiled 646 to 470 computations (27.2% saved)

localize118.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
	0.1b	(log.f32 (/.f32 1/2 v))
✓	0.1b	(exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2)))
✓	0.2b	(/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2)

Compiler

Compiled 172 to 86 computations (50% saved)

series20.0ms (0.1%)

Counts

2 → 120

Calls

30 calls:

Time	Variable		Expression
3.0ms	cosTheta_i	@	(/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2)
2.0ms	sinTheta_O	@	(exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2)))
2.0ms	cosTheta_O	@	(/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2)
2.0ms	sinTheta_O	@	(/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2)
1.0ms	sinTheta_i	@	(/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2)

rewrite165.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`rational_best-simplify-1`
684×	`rational_best-simplify-65`
652×	`rational_best-simplify-52`
630×	`rational_best-simplify-83`
620×	`rational_best-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	116
1	164	116
2	394	116
3	1374	116
4	7709	116

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

Inputs

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

(exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (log.f32 (/.f32 1/2 v))) (*.f32 (/.f32 1/2 v) (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 1/2 v) (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1)) (*.f32 1/2 (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 1/2 v) (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1)) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 0 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 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v))) 6931/20000)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (exp.f32 (+.f32 (*.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)))) (*.f32 2 (*.f32 2 (exp.f32 (+.f32 (*.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (+.f32 (*.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)) 1)))))

simplify169.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1302×	`rational_best-simplify-47`
944×	`rational_best-simplify-65`
798×	`rational_best-simplify-50`
728×	`rational_best-simplify-3`
698×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	17561
1	985	16861
2	2611	16629

Stop Event

1×	node limit

Counts

215 → 239

Calls

Call 1

Inputs
(.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v))
(+.f32 (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))) (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))) (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))) (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v)))
(*.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))
(*.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))) (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))) (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))) (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)))
(.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
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(-.f32 (+.f32 (/.f32 (log.f32 (/.f32 1/2 v)) 4) (/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) -1) (+.f32 v v))) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (+.f32 v v)) (/.f32 (log.f32 (/.f32 1/2 v)) 4)))
(.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)))
(.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 1/2)
(.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 1)
(.f32 1 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))))
(.f32 (.f32 (-.f32 (/.f32 (+.f32 1 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O))) v) (log.f32 (/.f32 1/2 v))) -2) 1/4)
(.f32 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4) 1/8)
(.f32 1/4 (.f32 (-.f32 (/.f32 (+.f32 1 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O))) v) (log.f32 (/.f32 1/2 v))) -2))
(.f32 1/8 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4))
(.f32 (.f32 2 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 4)) 1/16)
(.f32 1/16 (.f32 2 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 4)))
(pow.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 1)
(+.f32 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)) 0)
(+.f32 0 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)))
(+.f32 (/.f32 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)) 2) (/.f32 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)) 2))
(-.f32 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)) 0)
(-.f32 (/.f32 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)) 2) (/.f32 (neg.f32 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000))) 2))
(.f32 1/2 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000))))
(.f32 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)) 1)
(.f32 1 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)))
(.f32 (exp.f32 6931/20000) (exp.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)))))
(.f32 (exp.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)))) (exp.f32 6931/20000))
(.f32 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000))) 1/2)
(.f32 (exp.f32 (.f32 1/2 (log.f32 (/.f32 1/2 v)))) (.f32 (exp.f32 6931/20000) (exp.f32 (.f32 (/.f32 1/2 v) (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1)))))
(.f32 (exp.f32 (.f32 1/2 (log.f32 (/.f32 1/2 v)))) (exp.f32 (+.f32 6931/20000 (.f32 (/.f32 1/2 v) (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1)))))
(.f32 (exp.f32 (.f32 (/.f32 1/2 v) (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1))) (exp.f32 (+.f32 6931/20000 (*.f32 1/2 (log.f32 (/.f32 1/2 v))))))
(.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (log.f32 (/.f32 1/2 v))))) (exp.f32 (.f32 (/.f32 1/2 v) (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1))))
(.f32 1/4 (.f32 2 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)))))
(.f32 (.f32 2 (exp.f32 6931/20000)) (/.f32 (exp.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)))) 2))
(.f32 (.f32 2 (exp.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))))) (/.f32 (exp.f32 6931/20000) 2))
(.f32 (.f32 2 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)))) 1/4)
(.f32 (exp.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4)) (.f32 (exp.f32 6931/20000) (exp.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4))))
(.f32 (exp.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4)) (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 4))))
(.f32 (.f32 (exp.f32 6931/20000) (exp.f32 (.f32 (/.f32 1/2 v) (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1)))) (exp.f32 (.f32 1/2 (log.f32 (/.f32 1/2 v)))))
(.f32 (.f32 (exp.f32 6931/20000) (exp.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4))) (exp.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4)))
(.f32 (/.f32 (exp.f32 6931/20000) 2) (.f32 2 (exp.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))))))
(.f32 (/.f32 (exp.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)))) 2) (*.f32 2 (exp.f32 6931/20000)))
(.f32 (exp.f32 (+.f32 6931/20000 (.f32 (/.f32 1/2 v) (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1)))) (exp.f32 (*.f32 1/2 (log.f32 (/.f32 1/2 v)))))
(.f32 (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4))) (exp.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 4)))
(.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4) 6931/40000)) (exp.f32 (+.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 4) 6931/40000)))
(/.f32 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)) 1)
(/.f32 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000))) 2)
(/.f32 (.f32 2 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)))) 4)
(/.f32 (+.f32 (.f32 2 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)))) (.f32 2 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000))))) 8)
(pow.f32 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)) 1)

Outputs
(.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v))
(.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v))
(+.f32 (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))) (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))))
(.f32 1/2 (+.f32 (+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))
(.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (+.f32 (log.f32 1/2) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v))))
(+.f32 (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))) (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))))
(.f32 1/2 (+.f32 (+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))
(.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (+.f32 (log.f32 1/2) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v))))
(+.f32 (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))) (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))))
(.f32 1/2 (+.f32 (+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))
(.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (+.f32 (log.f32 1/2) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v))))
(*.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))
(*.f32 1/2 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(.f32 1/2 (+.f32 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(.f32 1/2 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 1 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(.f32 1/2 (+.f32 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(.f32 1/2 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 1 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(.f32 1/2 (+.f32 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(.f32 1/2 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 1 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v))))
(*.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))) (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(.f32 1/2 (+.f32 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(.f32 1/2 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v))))
(+.f32 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))) (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(.f32 1/2 (+.f32 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(.f32 1/2 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v))))
(+.f32 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))) (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(.f32 1/2 (+.f32 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(.f32 1/2 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v))))
(.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
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(.f32 (exp.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)))) (exp.f32 6931/20000))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000))) 1/2)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 (exp.f32 (.f32 1/2 (log.f32 (/.f32 1/2 v)))) (.f32 (exp.f32 6931/20000) (exp.f32 (.f32 (/.f32 1/2 v) (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1)))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 (exp.f32 (.f32 1/2 (log.f32 (/.f32 1/2 v)))) (exp.f32 (+.f32 6931/20000 (.f32 (/.f32 1/2 v) (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1)))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 (exp.f32 (.f32 (/.f32 1/2 v) (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1))) (exp.f32 (+.f32 6931/20000 (*.f32 1/2 (log.f32 (/.f32 1/2 v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (log.f32 (/.f32 1/2 v))))) (exp.f32 (.f32 (/.f32 1/2 v) (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 1/4 (.f32 2 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 (.f32 2 (exp.f32 6931/20000)) (/.f32 (exp.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)))) 2))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 (.f32 2 (exp.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))))) (/.f32 (exp.f32 6931/20000) 2))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 (.f32 2 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)))) 1/4)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 (exp.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4)) (.f32 (exp.f32 6931/20000) (exp.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4))))
(exp.f32 (+.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 4)) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 4)))
(exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 2)))
(.f32 (exp.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4)) (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 4))))
(exp.f32 (+.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 4)) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 4)))
(exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 2)))
(.f32 (.f32 (exp.f32 6931/20000) (exp.f32 (.f32 (/.f32 1/2 v) (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1)))) (exp.f32 (.f32 1/2 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 (.f32 (exp.f32 6931/20000) (exp.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4))) (exp.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4)))
(exp.f32 (+.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 4)) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 4)))
(exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 2)))
(.f32 (/.f32 (exp.f32 6931/20000) 2) (.f32 2 (exp.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 (/.f32 (exp.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)))) 2) (*.f32 2 (exp.f32 6931/20000)))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 (exp.f32 (+.f32 6931/20000 (.f32 (/.f32 1/2 v) (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1)))) (exp.f32 (*.f32 1/2 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(.f32 (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4))) (exp.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 4)))
(exp.f32 (+.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 4)) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 4)))
(exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 2)))
(.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 4) 6931/40000)) (exp.f32 (+.f32 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 4) 6931/40000)))
(exp.f32 (+.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 4)) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 4)))
(exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)) 2)))
(/.f32 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)) 1)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(/.f32 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000))) 2)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(/.f32 (.f32 2 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)))) 4)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(/.f32 (+.f32 (.f32 2 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)))) (.f32 2 (.f32 2 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000))))) 8)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))
(pow.f32 (exp.f32 (+.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v))) 6931/20000)) 1)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v)))))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/20000 (.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (/.f32 1/2 v)))))

localize22.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 (exp.f32 6931/10000) v)

Compiler

Compiled 20 to 17 computations (15% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(/.f32 (exp.f32 6931/10000) v)
0.0ms	v	@	inf	(/.f32 (exp.f32 6931/10000) v)
0.0ms	v	@	-inf	(/.f32 (exp.f32 6931/10000) v)

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`rational_best-simplify-55`
788×	`rational_best-simplify-82`
732×	`rational_best-simplify-64`
612×	`rational_best-simplify-51`
606×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	47	11
2	106	11
3	315	11
4	1467	11

Stop Event

1×	node limit

Counts

1 → 195

Calls

Call 1

Inputs
(/.f32 (exp.f32 6931/10000) v)

Outputs

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simplify174.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1294×	`rational_best-simplify-55`
1084×	`rational_best-simplify-50`
980×	`rational_best-simplify-1`
930×	`rational_best-simplify-108`
810×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	3377
1	1538	3231
2	7054	3203

Stop Event

1×	node limit

Counts

195 → 239

Calls

Call 1

Inputs
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(+.f32 (/.f32 (exp.f32 6931/10000) v) (-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 0 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))
(+.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) 2) (/.f32 (neg.f32 (exp.f32 6931/10000)) v))
(+.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) (/.f32 (.f32 3 (exp.f32 6931/10000)) (.f32 v 4)))
(+.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) (+.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(+.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) (-.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) (/.f32 (exp.f32 6931/10000) (*.f32 v -2))))
(+.f32 (/.f32 (.f32 3 (exp.f32 6931/10000)) (.f32 v 4)) (/.f32 (/.f32 (exp.f32 6931/10000) v) 4))
(+.f32 (/.f32 (.f32 3 (exp.f32 6931/10000)) (.f32 v 4)) (+.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) 0))
(+.f32 (-.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) (/.f32 (exp.f32 6931/10000) (*.f32 v -2))) (/.f32 (/.f32 (exp.f32 6931/10000) v) 4))
(+.f32 (-.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) -1) (neg.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) (.f32 v -2)))))
(+.f32 (-.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) -1) (-.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) (+.f32 1 (/.f32 (exp.f32 6931/10000) (*.f32 v -2)))))
(+.f32 (-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (/.f32 (exp.f32 6931/10000) v) 4)) (-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (.f32 3 (exp.f32 6931/10000)) (.f32 v 4))))
(+.f32 (-.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (+.f32 -1 (/.f32 (exp.f32 6931/10000) (.f32 v -2)))) -1)
(+.f32 (-.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) 2) (.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) (/.f32 (exp.f32 6931/10000) (*.f32 v -2)))
(+.f32 (-.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) 2) (/.f32 (/.f32 (exp.f32 6931/10000) v) 4)) (neg.f32 (/.f32 (.f32 3 (exp.f32 6931/10000)) (*.f32 v 4))))
(+.f32 (-.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) (+.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v -2)))) (-.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) 1))
(-.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(-.f32 (/.f32 (exp.f32 6931/10000) v) (-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))
(-.f32 (/.f32 (exp.f32 6931/10000) v) (-.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) 2) (.f32 (/.f32 (exp.f32 6931/10000) v) 2)))
(-.f32 0 (/.f32 (neg.f32 (exp.f32 6931/10000)) v))
(-.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (/.f32 (exp.f32 6931/10000) (.f32 v -2)))
(-.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) 2) (/.f32 (exp.f32 6931/10000) v))
(-.f32 (/.f32 (neg.f32 (exp.f32 6931/10000)) v) (*.f32 -2 (/.f32 (exp.f32 6931/10000) v)))
(-.f32 (/.f32 (exp.f32 6931/10000) (.f32 v -2)) (-.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) 2)))
(-.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) (-.f32 (/.f32 (exp.f32 6931/10000) (*.f32 v -2)) (/.f32 (/.f32 (exp.f32 6931/10000) v) 4)))
(-.f32 (/.f32 (.f32 3 (exp.f32 6931/10000)) (.f32 v 4)) (/.f32 (exp.f32 6931/10000) (*.f32 v -4)))
(-.f32 (/.f32 (.f32 3 (exp.f32 6931/10000)) (.f32 v 4)) (+.f32 (/.f32 (exp.f32 6931/10000) (*.f32 v -4)) 0))
(-.f32 (/.f32 (exp.f32 6931/10000) (.f32 v -4)) (-.f32 (/.f32 (.f32 3 (exp.f32 6931/10000)) (.f32 v 4)) (.f32 (/.f32 (exp.f32 6931/10000) v) 2)))
(-.f32 (-.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) (/.f32 (exp.f32 6931/10000) (*.f32 v -2))) (-.f32 0 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4)))
(-.f32 (-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (neg.f32 (exp.f32 6931/10000)) v))
(-.f32 (-.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) 1) (-.f32 (+.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v -2))) (/.f32 (/.f32 (exp.f32 6931/10000) v) 4)))
(-.f32 (-.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) (+.f32 1 (/.f32 (exp.f32 6931/10000) (*.f32 v -2)))) (-.f32 -1 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4)))
(-.f32 (-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (.f32 3 (exp.f32 6931/10000)) (.f32 v 4))) (-.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) (/.f32 (exp.f32 6931/10000) v)))
(.f32 v (/.f32 (exp.f32 6931/10000) (.f32 v v)))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1)
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(pow.f32 (/.f32 (exp.f32 6931/10000) v) 1)
(neg.f32 (/.f32 (neg.f32 (exp.f32 6931/10000)) v))

Outputs
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (/.f32 (exp.f32 6931/10000) v) (-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 0 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) 2) (/.f32 (neg.f32 (exp.f32 6931/10000)) v))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) 4) (/.f32 (.f32 3 (exp.f32 6931/10000)) (.f32 v 4)))
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(/.f32 (+.f32 (exp.f32 6931/10000) (.f32 (exp.f32 6931/10000) 3)) (.f32 v 4))
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(/.f32 (exp.f32 6931/10000) v)
(*.f32 (+.f32 (/.f32 1/2 v) (/.f32 1/2 v)) (exp.f32 6931/10000))
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(/.f32 (exp.f32 6931/10000) v)
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(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (.f32 v 4) (.f32 (exp.f32 6931/10000) (+.f32 v v))) (/.f32 (/.f32 (/.f32 1/2 v) v) (*.f32 v 4)))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (/.f32 v 2) (*.f32 (exp.f32 6931/10000) (+.f32 v v))) (/.f32 (/.f32 (/.f32 1/2 v) v) (/.f32 v 2)))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 v (.f32 v (.f32 4 (exp.f32 6931/10000)))) (/.f32 (/.f32 (/.f32 1/2 v) (+.f32 v v)) v))
(/.f32 (exp.f32 6931/10000) v)
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(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (neg.f32 v) (.f32 v (.f32 4 (exp.f32 6931/10000)))) (/.f32 (/.f32 (/.f32 1/2 v) (+.f32 v v)) (neg.f32 v)))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (.f32 v 4) (.f32 v (.f32 4 (exp.f32 6931/10000)))) (/.f32 (/.f32 (/.f32 1/2 v) (+.f32 v v)) (.f32 v 4)))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (/.f32 1 v) (.f32 v (.f32 4 (exp.f32 6931/10000)))) (/.f32 (/.f32 (/.f32 1/2 v) (+.f32 v v)) (/.f32 1 v)))
(/.f32 (exp.f32 6931/10000) v)
(.f32 (.f32 (/.f32 v 2) (.f32 v (.f32 4 (exp.f32 6931/10000)))) (/.f32 (/.f32 (/.f32 1/2 v) (+.f32 v v)) (/.f32 v 2)))
(/.f32 (exp.f32 6931/10000) v)
(pow.f32 (/.f32 (exp.f32 6931/10000) v) 1)
(/.f32 (exp.f32 6931/10000) v)
(neg.f32 (/.f32 (neg.f32 (exp.f32 6931/10000)) v))
(/.f32 (exp.f32 6931/10000) v)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 cosTheta_i cosTheta_O)
✓	0.0b	(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
✓	0.2b	(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
✓	7.8b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 36 to 14 computations (61.1% saved)

series9.0ms (0%)

Counts

4 → 52

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	cosTheta_O	@	-inf	(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
1.0ms	cosTheta_i	@	-inf	(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
1.0ms	cosTheta_i	@	inf	(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
1.0ms	cosTheta_O	@	inf	(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
0.0ms	v	@	0	(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`rational_best-4`
970×	`rational_best-2`
970×	`rational_best-3`
970×	`rational_best-1`
970×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	83	66
2	178	66
3	538	66
4	2473	66

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 cosTheta_i cosTheta_O) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 cosTheta_i cosTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (/.f32 (.f32 cosTheta_i cosTheta_O) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 4) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3)) 4) (/.f32 (.f32 cosTheta_i cosTheta_O) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 cosTheta_i cosTheta_O) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (.f32 cosTheta_i cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (/.f32 (.f32 cosTheta_i cosTheta_O) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3)) 4) (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 cosTheta_i cosTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 cosTheta_i (.f32 cosTheta_O 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 cosTheta_i (.f32 (+.f32 cosTheta_O cosTheta_O) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O 4)) 4) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 cosTheta_i cosTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)))))))

simplify196.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

872×	`rational_best-simplify-57`
862×	`rational_best-simplify-52`
832×	`rational_best-simplify-108`
698×	`rational_best-simplify-48`
536×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	6640
1	1284	6496
2	5126	6352

Stop Event

1×	node limit

Counts

248 → 248

Calls

Call 1

Inputs
(/.f32 1/2 v)
(+.f32 (.f32 1/2 (/.f32 1 v)) (.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 1 v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))) (.f32 1/4 (/.f32 (*.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 1 v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 3))) (.f32 1/12 (/.f32 (*.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 4))))))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(/.f32 1/2 v)
(+.f32 (.f32 1/2 (/.f32 1 v)) (.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 1 v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))) (.f32 1/4 (/.f32 (*.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 1 v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 3))) (.f32 1/12 (/.f32 (*.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 4))))))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(/.f32 1/2 v)
(+.f32 (.f32 1/2 (/.f32 1 v)) (.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 1 v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))) (.f32 1/4 (/.f32 (*.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 1 v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 3))) (.f32 1/12 (/.f32 (*.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 4))))))
(/.f32 1/2 v)
(+.f32 (.f32 1/2 (/.f32 1 v)) (.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 1 v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))) (.f32 1/4 (/.f32 (*.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 1 v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 3))) (.f32 1/12 (/.f32 (*.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 4))))))
1
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
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(/.f32 (.f32 2 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 v)) v)) (.f32 (*.f32 (/.f32 1 v) 4) 2))
(/.f32 (.f32 1/2 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v) (+.f32 v v))) (/.f32 1/2 v))
(/.f32 (.f32 (/.f32 v 2) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (*.f32 (+.f32 v v) (/.f32 v 2)))
(/.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 4)) (.f32 (*.f32 (+.f32 v v) 4) (+.f32 v v)))
(/.f32 (.f32 4 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 v))) 16)
(/.f32 (.f32 2 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v v)) (/.f32 1/2 v))) 8)
(/.f32 (.f32 v (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 v))) (.f32 v 4))
(/.f32 (.f32 (/.f32 v 2) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2)) (*.f32 v (/.f32 v 2)))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v v))) (.f32 (/.f32 2 v) (/.f32 1 v)))
(/.f32 (.f32 v (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 4)) (.f32 v (*.f32 (+.f32 v v) 4)))
(/.f32 (.f32 (+.f32 v v) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v)) (*.f32 v 4))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v v)) 2)) (.f32 (/.f32 1 v) (/.f32 1 v)))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v) (+.f32 v v))) (*.f32 (/.f32 1 v) (/.f32 1 v)))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v)) v)) (.f32 (/.f32 1 v) (/.f32 1 v)))
(/.f32 (.f32 2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v v))) (.f32 (/.f32 1 v) 4))
(/.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))) (+.f32 v v))
(/.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) 1/2) (/.f32 (*.f32 v 4) 1/2))
(pow.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v)) 1)
(neg.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (+.f32 v v)))
(+.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)
(+.f32 0 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2))
(+.f32 (fabs.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2)) (fabs.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2)))
(-.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)
(-.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) (/.f32 (neg.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) 2))
(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 1)
(.f32 1/2 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 2))
(.f32 1 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 2) 1/2)
(.f32 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 4) 1/4)
(.f32 (exp.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1/2 v))) (exp.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 1/2 v))))
(.f32 1/4 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 4))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) 2)
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 4) 4)
(/.f32 (.f32 2 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 4)) 8)
(/.f32 (.f32 4 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 4)) 16)
(pow.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(fabs.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (*.f32 cosTheta_i cosTheta_O) 0)
(+.f32 0 (*.f32 cosTheta_i cosTheta_O))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (/.f32 (.f32 cosTheta_i cosTheta_O) 2))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) -2)))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 4) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i 3)) 4))
(+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3)) 4) (/.f32 (*.f32 cosTheta_i cosTheta_O) 4))
(-.f32 (*.f32 cosTheta_i cosTheta_O) 0)
(-.f32 0 (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (/.f32 (.f32 cosTheta_i cosTheta_O) -2))
(-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3)) 4) (/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) 4))
(/.f32 (*.f32 cosTheta_i cosTheta_O) 1)
(/.f32 (*.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) 2)
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) -1)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O 4)) 4)
(/.f32 (.f32 cosTheta_i (.f32 (+.f32 cosTheta_O cosTheta_O) 4)) 8)
(/.f32 (.f32 (.f32 cosTheta_i (*.f32 cosTheta_O 4)) 4) 16)
(pow.f32 (*.f32 cosTheta_i cosTheta_O) 1)
(neg.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)))

Outputs
(/.f32 1/2 v)
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(+.f32 (.f32 1/2 (/.f32 1 v)) (.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 1/2 (pow.f32 v 2))))
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(/.f32 1/2 v)
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(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 1/2 v)
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(/.f32 1/2 v)
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(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 2 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 v)) v)) (.f32 (*.f32 (/.f32 1 v) 4) 2))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 1/2 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v) (+.f32 v v))) (/.f32 1/2 v))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 (/.f32 v 2) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (*.f32 (+.f32 v v) (/.f32 v 2)))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 4)) (.f32 (*.f32 (+.f32 v v) 4) (+.f32 v v)))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 4 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 v))) 16)
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 2 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v v)) (/.f32 1/2 v))) 8)
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 v (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 v))) (.f32 v 4))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 (/.f32 v 2) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2)) (*.f32 v (/.f32 v 2)))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v v))) (.f32 (/.f32 2 v) (/.f32 1 v)))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 v (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 4)) (.f32 v (*.f32 (+.f32 v v) 4)))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 (+.f32 v v) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v)) (*.f32 v 4))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v v)) 2)) (.f32 (/.f32 1 v) (/.f32 1 v)))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v) (+.f32 v v))) (*.f32 (/.f32 1 v) (/.f32 1 v)))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v)) v)) (.f32 (/.f32 1 v) (/.f32 1 v)))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v v))) (.f32 (/.f32 1 v) 4))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))) (+.f32 v v))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) 1/2) (/.f32 (*.f32 v 4) 1/2))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(pow.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v)) 1)
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (+.f32 v v)))
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 0 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (fabs.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2)) (fabs.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(-.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(-.f32 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) (/.f32 (neg.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) 2))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 1)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 2))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 1 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 2) 1/2)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 4) 1/4)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (exp.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1/2 v))) (exp.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 1/2 v))))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 1/4 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 4))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) 2)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 4) 4)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 2 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 4)) 8)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 4 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 4)) 16)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(pow.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fabs.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (*.f32 cosTheta_i cosTheta_O) 0)
(*.f32 cosTheta_i cosTheta_O)
(+.f32 0 (*.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i cosTheta_O)
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (/.f32 (.f32 cosTheta_i cosTheta_O) 2))
(*.f32 cosTheta_i cosTheta_O)
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) -2)))
(*.f32 cosTheta_i cosTheta_O)
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 4) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i 3)) 4))
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3)) (*.f32 cosTheta_i cosTheta_O)) 4)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 4)) 4)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O 4)) 4)
(+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3)) 4) (/.f32 (*.f32 cosTheta_i cosTheta_O) 4))
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3)) (*.f32 cosTheta_i cosTheta_O)) 4)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 4)) 4)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O 4)) 4)
(-.f32 (*.f32 cosTheta_i cosTheta_O) 0)
(*.f32 cosTheta_i cosTheta_O)
(-.f32 0 (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_i cosTheta_O)
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 2) (/.f32 (.f32 cosTheta_i cosTheta_O) -2))
(*.f32 cosTheta_i cosTheta_O)
(-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3)) 4) (/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) 4))
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3)) (*.f32 cosTheta_i cosTheta_O)) 4)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 4)) 4)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O 4)) 4)
(/.f32 (*.f32 cosTheta_i cosTheta_O) 1)
(*.f32 cosTheta_i cosTheta_O)
(/.f32 (*.f32 cosTheta_i (+.f32 cosTheta_O cosTheta_O)) 2)
(*.f32 cosTheta_i cosTheta_O)
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) -1)
(*.f32 cosTheta_i cosTheta_O)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O 4)) 4)
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i 3)) (*.f32 cosTheta_i cosTheta_O)) 4)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i 4)) 4)
(/.f32 (.f32 cosTheta_i (.f32 (+.f32 cosTheta_O cosTheta_O) 4)) 8)
(/.f32 (.f32 cosTheta_i (.f32 4 (+.f32 cosTheta_O cosTheta_O))) 8)
(/.f32 (.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i 4)) 8)
(/.f32 (.f32 (+.f32 cosTheta_O cosTheta_O) (.f32 4 cosTheta_i)) 8)
(/.f32 (.f32 (.f32 cosTheta_i (*.f32 cosTheta_O 4)) 4) 16)
(/.f32 (.f32 4 (.f32 cosTheta_i (*.f32 cosTheta_O 4))) 16)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 16) 16)
(pow.f32 (*.f32 cosTheta_i cosTheta_O) 1)
(*.f32 cosTheta_i cosTheta_O)
(neg.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_i cosTheta_O)

localize143.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 sinTheta_i sinTheta_O)
✓	0.1b	(-.f32 6931/10000 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))
✓	0.1b	(exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
✓	0.2b	(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series12.0ms (0.1%)

Counts

4 → 108

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	sinTheta_O	@	0	(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
2.0ms	v	@	inf	(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
1.0ms	sinTheta_i	@	0	(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
1.0ms	sinTheta_O	@	-inf	(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
1.0ms	sinTheta_i	@	-inf	(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))

rewrite155.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`rational_best-4`
1776×	`rational_best-2`
1776×	`rational_best-3`
1776×	`rational_best-1`
1776×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	102
1	113	102
2	248	102
3	809	102
4	4356	102

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

Inputs
(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(-.f32 6931/10000 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))
(*.f32 sinTheta_i sinTheta_O)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) (/.f32 0 v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) (neg.f32 (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v 4)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) (/.f32 0 v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) (neg.f32 (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) (/.f32 (neg.f32 (/.f32 0 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (-.f32 (/.f32 0 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 0 v) (neg.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v 4)) (/.f32 (neg.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v 4)) (/.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)))) (.f32 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v 4)) (-.f32 0 (/.f32 (exp.f32 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2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2) (.f32 v 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) v) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) v) 2) (/.f32 (.f32 v 4) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) v) 2) (.f32 (+.f32 2 (/.f32 0 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2)) (.f32 2 (.f32 v 4)))))) (#(struct:change #<rule egg-rr> (2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 sinTheta_i sinTheta_O) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 sinTheta_i sinTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) 2) (/.f32 (.f32 sinTheta_i sinTheta_O) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 sinTheta_i sinTheta_O) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) 2) (/.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 sinTheta_i sinTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 sinTheta_i (+.f32 sinTheta_O sinTheta_O)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 sinTheta_i sinTheta_i) (+.f32 sinTheta_O sinTheta_O)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (+.f32 sinTheta_i sinTheta_i) (+.f32 sinTheta_O sinTheta_O)) (.f32 (+.f32 sinTheta_i sinTheta_i) (+.f32 sinTheta_O sinTheta_O))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 2 (+.f32 sinTheta_i sinTheta_i)) (.f32 2 (+.f32 sinTheta_O sinTheta_O))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 2 (+.f32 sinTheta_O sinTheta_O)) (.f32 2 (+.f32 sinTheta_i sinTheta_i))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 sinTheta_i sinTheta_O) 1)))))

simplify342.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1252×	`rational_best-simplify-67`
1150×	`rational_best-simplify-47`
1088×	`rational_best-simplify-50`
988×	`rational_best-simplify-64`
792×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	9544
1	837	9312
2	2797	8702

Stop Event

1×	node limit

Counts

220 → 194

Calls

Call 1

Inputs
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
(+.f32 (.f32 -1/12 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 (pow.f32 sinTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
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(/.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) v) (+.f32 v v)) (/.f32 1 v))
(/.f32 (+.f32 (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2)) (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2))) (+.f32 (.f32 2 (.f32 v 4)) (.f32 2 (.f32 v 4))))
(/.f32 (+.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) v) 2) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) v) 2)) 8)
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) v) (/.f32 1 v))
(/.f32 (.f32 4 (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2))) (.f32 (.f32 2 (*.f32 v 4)) 4))
(/.f32 (.f32 (/.f32 2 v) (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2))) 16)
(/.f32 (.f32 (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2)) (/.f32 2 v)) 16)
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) (+.f32 v v)) (/.f32 1/2 v))
(pow.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) 1)
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) 0)
(+.f32 0 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2))
(-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) 0)
(-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2) (/.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)))) 2))
(.f32 1 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 1)
(.f32 1/2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) 2))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) 2) 1/2)
(.f32 (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2)) 1/4)
(.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)))
(.f32 (exp.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 6931/10000))
(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))))
(.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (neg.f32 (/.f32 1 v))))
(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 0 v))) (exp.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)))
(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v)))) (exp.f32 (/.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) 2)))
(.f32 (exp.f32 (-.f32 6931/20000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v)))) (exp.f32 (-.f32 6931/20000 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (+.f32 v v)))))
(/.f32 1 (exp.f32 (-.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v) 6931/10000)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) 1)
(/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2) 2)
(/.f32 (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) 2)) 4)
(/.f32 (+.f32 (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2)) (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2))) 8)
(pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) 1)
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) 0)
(+.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) (neg.f32 (/.f32 0 v)))
(+.f32 0 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) 6931/10000)
(+.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 6931/10000 (/.f32 0 v)))
(+.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (-.f32 6931/10000 (/.f32 0 v)) 0))
(+.f32 (-.f32 6931/10000 (/.f32 1 v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)) (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (/.f32 0 v) (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (-.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (neg.f32 (/.f32 1 v)))
(+.f32 (neg.f32 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(+.f32 (-.f32 6931/10000 (/.f32 0 v)) (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))) (/.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) 2))
(+.f32 (/.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) 2) (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))))
(+.f32 (/.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) 2) (/.f32 (+.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) 6931/5000) 2))
(+.f32 (-.f32 6931/20000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))) (-.f32 6931/20000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))))
(+.f32 (-.f32 6931/10000 (/.f32 (.f32 sinTheta_i sinTheta_O) (+.f32 v v))) (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_i sinTheta_O) 2) (+.f32 v v))))
(+.f32 (-.f32 6931/10000 (/.f32 1/2 v)) (neg.f32 (/.f32 (+.f32 1/2 (*.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (/.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)) 2) (/.f32 (+.f32 6931/10000 (+.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) (-.f32 6931/10000 (/.f32 1 v)))) 2))
(.f32 1 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)))
(.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) 1)
(.f32 1/2 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) 2))
(.f32 (-.f32 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v) 6931/10000) -1)
(.f32 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) 2) 1/2)
(.f32 (.f32 2 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) 2)) 1/4)
(/.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) 1)
(/.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 v v))
(/.f32 (-.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v) 6931/10000) -1)
(/.f32 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) 2) 2)
(/.f32 (.f32 2 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) 2)) 4)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) 2)) (.f32 2 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) 2))) 8)
(pow.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) 1)
(neg.f32 (-.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v) 6931/10000))
(+.f32 (*.f32 sinTheta_i sinTheta_O) 0)
(+.f32 0 (*.f32 sinTheta_i sinTheta_O))
(+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) 2) (/.f32 (.f32 sinTheta_i sinTheta_O) 2))
(-.f32 (*.f32 sinTheta_i sinTheta_O) 0)
(-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) 2) (/.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) 2))
(/.f32 (*.f32 sinTheta_i sinTheta_O) 1)
(/.f32 (*.f32 sinTheta_i (+.f32 sinTheta_O sinTheta_O)) 2)
(/.f32 (*.f32 (+.f32 sinTheta_i sinTheta_i) (+.f32 sinTheta_O sinTheta_O)) 4)
(/.f32 (+.f32 (.f32 (+.f32 sinTheta_i sinTheta_i) (+.f32 sinTheta_O sinTheta_O)) (.f32 (+.f32 sinTheta_i sinTheta_i) (+.f32 sinTheta_O sinTheta_O))) 8)
(/.f32 (.f32 (.f32 2 (+.f32 sinTheta_i sinTheta_i)) (*.f32 2 (+.f32 sinTheta_O sinTheta_O))) 16)
(/.f32 (.f32 (.f32 2 (+.f32 sinTheta_O sinTheta_O)) (*.f32 2 (+.f32 sinTheta_i sinTheta_i))) 16)
(pow.f32 (*.f32 sinTheta_i sinTheta_O) 1)

Outputs
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 -1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 sinTheta_i sinTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1/2 (pow.f32 v 2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 sinTheta_i sinTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2))) (/.f32 1/4 (pow.f32 v 3)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 sinTheta_i sinTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)) (/.f32 1/4 (pow.f32 v 3)))))
(+.f32 (+.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1/2 (pow.f32 v 2))))) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2) (/.f32 1/4 (pow.f32 v 3)))))
(+.f32 (.f32 -1/12 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 (pow.f32 sinTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))))
(+.f32 (+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2))) (/.f32 1/4 (pow.f32 v 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 sinTheta_i sinTheta_O)) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3))) (pow.f32 v 4)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 sinTheta_i sinTheta_O)) (pow.f32 v 2))) (+.f32 (+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 (.f32 sinTheta_i sinTheta_O) 2)) (/.f32 1/4 (pow.f32 v 3)))) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 (.f32 sinTheta_i sinTheta_O) 3)) (/.f32 -1/12 (pow.f32 v 4)))))
(+.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (+.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) 2) (/.f32 1/4 (pow.f32 v 3)))) (+.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1/2 (pow.f32 v 2)))) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) 3) (/.f32 -1/12 (pow.f32 v 4)))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 -1/2 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 sinTheta_i sinTheta_O)) (pow.f32 v 2))))
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(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (-.f32 6931/10000 (/.f32 0 v)) 0))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (-.f32 6931/10000 (/.f32 1 v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)) (-.f32 6931/10000 (/.f32 1 v)))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (/.f32 0 v) (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (-.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (neg.f32 (/.f32 1 v)))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (neg.f32 (/.f32 1 v)) (-.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (-.f32 6931/10000 (/.f32 0 v)) (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))) (/.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) 2))
(+.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))) (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) (*.f32 v 2)))
(+.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))) (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v)))
(+.f32 (/.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) 2) (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))))
(+.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))) (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) (*.f32 v 2)))
(+.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))) (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v)))
(+.f32 (/.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) 2) (/.f32 (+.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) 6931/5000) 2))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (-.f32 6931/20000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))) (-.f32 6931/20000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))))
(+.f32 (-.f32 6931/10000 (/.f32 (.f32 sinTheta_i sinTheta_O) (+.f32 v v))) (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_i sinTheta_O) 2) (+.f32 v v))))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (-.f32 6931/10000 (/.f32 1/2 v)) (neg.f32 (/.f32 (+.f32 1/2 (*.f32 sinTheta_i sinTheta_O)) v)))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (/.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)) 2) (/.f32 (+.f32 6931/10000 (+.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) (-.f32 6931/10000 (/.f32 1 v)))) 2))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(.f32 1 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) 1)
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(.f32 1/2 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) 2))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(.f32 (-.f32 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v) 6931/10000) -1)
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(.f32 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) 2) 1/2)
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(.f32 (.f32 2 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) 2)) 1/4)
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(/.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) 1)
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(/.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 v v))
(+.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 6931/10000 (/.f32 v v)))
(/.f32 (-.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v) 6931/10000) -1)
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(/.f32 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) 2) 2)
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(/.f32 (.f32 2 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) 2)) 4)
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) 2)) (.f32 2 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) 2))) 8)
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(pow.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) 1)
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(neg.f32 (-.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v) 6931/10000))
(-.f32 (+.f32 6931/10000 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 -1 v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 v))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (*.f32 sinTheta_i sinTheta_O) 0)
(*.f32 sinTheta_i sinTheta_O)
(+.f32 0 (*.f32 sinTheta_i sinTheta_O))
(*.f32 sinTheta_i sinTheta_O)
(+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) 2) (/.f32 (.f32 sinTheta_i sinTheta_O) 2))
(*.f32 sinTheta_i sinTheta_O)
(-.f32 (*.f32 sinTheta_i sinTheta_O) 0)
(*.f32 sinTheta_i sinTheta_O)
(-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) 2) (/.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) 2))
(*.f32 sinTheta_i sinTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) 1)
(*.f32 sinTheta_i sinTheta_O)
(/.f32 (*.f32 sinTheta_i (+.f32 sinTheta_O sinTheta_O)) 2)
(*.f32 sinTheta_i sinTheta_O)
(/.f32 (*.f32 (+.f32 sinTheta_i sinTheta_i) (+.f32 sinTheta_O sinTheta_O)) 4)
(*.f32 sinTheta_i sinTheta_O)
(/.f32 (+.f32 (.f32 (+.f32 sinTheta_i sinTheta_i) (+.f32 sinTheta_O sinTheta_O)) (.f32 (+.f32 sinTheta_i sinTheta_i) (+.f32 sinTheta_O sinTheta_O))) 8)
(*.f32 sinTheta_i sinTheta_O)
(/.f32 (.f32 (.f32 2 (+.f32 sinTheta_i sinTheta_i)) (*.f32 2 (+.f32 sinTheta_O sinTheta_O))) 16)
(/.f32 (.f32 (+.f32 sinTheta_i sinTheta_i) (.f32 2 (*.f32 2 (+.f32 sinTheta_O sinTheta_O)))) 16)
(/.f32 (.f32 (+.f32 sinTheta_O sinTheta_O) (.f32 (+.f32 sinTheta_i sinTheta_i) 4)) 16)
(/.f32 (.f32 4 (.f32 (*.f32 sinTheta_i sinTheta_O) 4)) 16)
(/.f32 (.f32 (.f32 2 (+.f32 sinTheta_O sinTheta_O)) (*.f32 2 (+.f32 sinTheta_i sinTheta_i))) 16)
(/.f32 (.f32 (+.f32 sinTheta_i sinTheta_i) (.f32 2 (*.f32 2 (+.f32 sinTheta_O sinTheta_O)))) 16)
(/.f32 (.f32 (+.f32 sinTheta_O sinTheta_O) (.f32 (+.f32 sinTheta_i sinTheta_i) 4)) 16)
(/.f32 (.f32 4 (.f32 (*.f32 sinTheta_i sinTheta_O) 4)) 16)
(pow.f32 (*.f32 sinTheta_i sinTheta_O) 1)
(*.f32 sinTheta_i sinTheta_O)

localize99.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)
	0.1b	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
	0.1b	(exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))
✓	0.5b	(*.f32 v (/.f32 2 v))

Compiler

Compiled 155 to 73 computations (52.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite120.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`rational_best-2`
1860×	`rational_best-3`
1860×	`rational_best-1`
600×	`rational_best-simplify-55`
558×	`rational_best-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	45	13
2	112	13
3	342	1
4	1841	1
5	6387	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 2)))))

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
2
2
2
2
2
2
2
2
2
2
2
2
2

Outputs
2
2
2
2
2
2
2
2
2
2
2
2
2

eval1.9s (9.1%)

Compiler: Compiled 57919 to 36399 computations (37.2% saved)

prune873.0ms (4.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	1503	12	1515
Fresh	5	4	9
Picked	1	0	1
Done	4	0	4
Total	1513	16	1529

Error

0.1b

Counts

1529 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.8b	(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (/.f32 2 v))
▶	30.5b	(/.f32 1/2 v)
	0.3b	(.f32 (/.f32 1 (exp.f32 (-.f32 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v) 6931/10000))) (/.f32 1/2 v))
	30.6b	(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
	0.3b	(.f32 (.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v)))) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v)))) (/.f32 1/2 v))
	0.3b	(.f32 (.f32 (exp.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 6931/10000)) (/.f32 1/2 v))
	0.3b	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
▶	0.2b	(.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 2))))
	0.2b	(.f32 (exp.f32 (+.f32 6931/20000 (/.f32 (-.f32 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v) (neg.f32 (+.f32 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v) (.f32 (log.f32 (/.f32 1/2 v)) 2)))) 4))) (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2))))
	0.2b	(.f32 (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2))) (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (+.f32 (log.f32 1/2) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)))))))
▶	0.1b	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
	16.0b	(.f32 1/2 (.f32 (/.f32 (/.f32 1 v) v) (.f32 v (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)))))
	13.8b	(.f32 1/2 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (*.f32 v v)) v))
	0.5b	(.f32 1/2 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v)))
▶	0.5b	(.f32 1/2 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v))))
	0.2b	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) 1) v)))

Compiler

Compiled 916 to 666 computations (27.3% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
✓	0.0b	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
✓	0.1b	(-.f32 6931/10000 (/.f32 1 v))
✓	0.1b	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))

Compiler

Compiled 41 to 33 computations (19.5% saved)

series18.0ms (0.1%)

Counts

4 → 27

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	v	@	0	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
1.0ms	v	@	-inf	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
0.0ms	v	@	inf	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
0.0ms	v	@	0	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
0.0ms	v	@	inf	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))

rewrite256.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`rational_best-simplify-64`
850×	`rational_best-simplify-51`
832×	`rational_best-4`
832×	`rational_best-2`
832×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	82
1	82	82
2	170	82
3	495	82
4	2049	82

Stop Event

1×	node limit

Counts

4 → 290

Calls

Call 1

Inputs
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 2) (-.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) 4) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) 4) (/.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2)) (-.f32 0 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (-.f32 6931/20000 (/.f32 1/2 v))) (exp.f32 (-.f32 6931/20000 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) 4) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 6931/10000 (/.f32 -1 v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 6931/10000 (/.f32 -1 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 6931/10000 (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1 v) 6931/10000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2) (+.f32 (/.f32 1 v) -6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (-.f32 6931/20000 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3) 2) (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 6931/10000 (/.f32 1/2 v)) (neg.f32 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 -1 v) 2) (/.f32 (+.f32 (/.f32 -1 v) 6931/5000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (/.f32 -1 v) 6931/5000) 2) (/.f32 (/.f32 -1 v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) 6931/10000) (neg.f32 (+.f32 (+.f32 (/.f32 1 v) -6931/10000) (/.f32 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 -1 v)) (neg.f32 (+.f32 6931/10000 (+.f32 (/.f32 1 v) -6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 6931/20000 (/.f32 1/2 v))) (neg.f32 (+.f32 (+.f32 (/.f32 1 v) -6931/10000) (-.f32 6931/20000 (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (-.f32 6931/20000 (/.f32 1/2 v))) (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (+.f32 (+.f32 (/.f32 1 v) -6931/10000) (-.f32 6931/20000 (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (/.f32 -1 v)) (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (+.f32 6931/10000 (+.f32 (/.f32 1 v) -6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) 6931/10000) (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (+.f32 (+.f32 (/.f32 1 v) -6931/10000) (/.f32 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 6931/10000 (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 6931/10000 (/.f32 -1 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (/.f32 1 v) -6931/10000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (+.f32 (/.f32 1 v) -6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 6931/10000 (/.f32 -1 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 1 v) -6931/10000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (*.f32 (+.f32 6931/10000 (/.f32 -1 v)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (/.f32 1 v) -6931/10000))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v 4)) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 3/2 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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(/.f32 1 v) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (.f32 v 4) 4) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 4)) (.f32 (.f32 (.f32 v 4) 4) (.f32 (.f32 v 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v))) (+.f32 v v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 1/2) (/.f32 (.f32 v 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v -2)))))))

simplify329.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

914×	`rational_best-simplify-108`
802×	`rational_best-simplify-56`
688×	`rational_best-simplify-1`
668×	`rational_best-simplify-50`
644×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	585	10955
1	1753	9409
2	6780	9247

Stop Event

1×	node limit

Counts

317 → 378

Calls

Call 1

Inputs
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(/.f32 -1 v)
6931/10000
6931/10000
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
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(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 0)
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(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) 4))
(+.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 2) (-.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2)))
(+.f32 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) 4) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4))
(-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 0)
(-.f32 0 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2))
(-.f32 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) 4) (/.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 4))
(-.f32 (-.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2)) (-.f32 0 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 2)))
(*.f32 1 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1)
(.f32 1/2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 1/2)
(*.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) -1)
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) 1/4)
(.f32 1/4 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4))
(*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v)))
(*.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000))
(*.f32 -2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2))
(*.f32 (exp.f32 (-.f32 6931/20000 (/.f32 1/2 v))) (exp.f32 (-.f32 6931/20000 (/.f32 1/2 v))))
(/.f32 1 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1)
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 2)
(/.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) -1)
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) 4)
(/.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 4) 8)
(/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v)))
(/.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) 4) 16)
(pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1)
(neg.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(fabs.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(+.f32 6931/10000 (/.f32 -1 v))
(+.f32 (+.f32 6931/10000 (/.f32 -1 v)) 0)
(+.f32 0 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (/.f32 -1 v) 6931/10000)
(+.f32 (*.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2) (+.f32 (/.f32 1 v) -6931/10000))
(+.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (-.f32 6931/20000 (/.f32 1/2 v)))
(+.f32 (neg.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 1/2 v)))
(+.f32 (/.f32 (*.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3) 2) (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 -1 v))))
(+.f32 (-.f32 6931/10000 (/.f32 1/2 v)) (neg.f32 (/.f32 1/2 v)))
(+.f32 (/.f32 (/.f32 -1 v) 2) (/.f32 (+.f32 (/.f32 -1 v) 6931/5000) 2))
(+.f32 (/.f32 (+.f32 (/.f32 -1 v) 6931/5000) 2) (/.f32 (/.f32 -1 v) 2))
(+.f32 (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (*.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3) 2))
(+.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) 6931/10000) (neg.f32 (+.f32 (+.f32 (/.f32 1 v) -6931/10000) (/.f32 -1 v))))
(+.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 -1 v)) (neg.f32 (+.f32 6931/10000 (+.f32 (/.f32 1 v) -6931/10000))))
(+.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 6931/20000 (/.f32 1/2 v))) (neg.f32 (+.f32 (+.f32 (/.f32 1 v) -6931/10000) (-.f32 6931/20000 (/.f32 1/2 v)))))
(+.f32 (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (-.f32 6931/20000 (/.f32 1/2 v))) (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (+.f32 (+.f32 (/.f32 1 v) -6931/10000) (-.f32 6931/20000 (/.f32 1/2 v)))))
(+.f32 (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (/.f32 -1 v)) (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (+.f32 6931/10000 (+.f32 (/.f32 1 v) -6931/10000))))
(+.f32 (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) 6931/10000) (-.f32 (-.f32 6931/20000 (/.f32 1/2 v)) (+.f32 (+.f32 (/.f32 1 v) -6931/10000) (/.f32 -1 v))))
(*.f32 1 (+.f32 6931/10000 (/.f32 -1 v)))
(*.f32 (+.f32 6931/10000 (/.f32 -1 v)) 1)
(.f32 1/2 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2))
(*.f32 (+.f32 (/.f32 1 v) -6931/10000) -1)
(.f32 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2) 1/2)
(*.f32 -1 (+.f32 (/.f32 1 v) -6931/10000))
(.f32 1/4 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 4))
(.f32 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 4) 1/4)
(/.f32 (+.f32 6931/10000 (/.f32 -1 v)) 1)
(/.f32 (+.f32 (/.f32 1 v) -6931/10000) -1)
(/.f32 (*.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2) 2)
(/.f32 (*.f32 (+.f32 6931/10000 (/.f32 -1 v)) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 6931/10000 (/.f32 -1 v)) 4)) 8)
(pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 1)
(neg.f32 (+.f32 (/.f32 1 v) -6931/10000))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 0)
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(+.f32 0 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(+.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)))
(+.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
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(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v 4)) (-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v 4)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(+.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 3/2 v)) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v 4)))
(+.f32 (-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v 4)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v -2))) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v 4)))
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(+.f32 (-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v 4)) -1) (-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v 4)) (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2)))))
(+.f32 (-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(+.f32 (-.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v -4))) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -4))))
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(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2)
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)))
(/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (.f32 v 4))
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) 1)
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) 4)
(/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (.f32 (+.f32 v v) 4))
(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2)) -1)
(/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2) (.f32 v -4))
(/.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 4) 8)
(/.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 4) (.f32 (.f32 v 4) 4))
(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v 4)) 1/2)
(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) v)
(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) (/.f32 2 v))
(/.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 v 2)) (/.f32 4 v))
(/.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) 2) (/.f32 1 v))
(/.f32 (.f32 1/2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v))) 1/2)
(/.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (+.f32 v v)) (/.f32 1 v))
(/.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) 4) (.f32 (.f32 (+.f32 v v) 4) 4))
(/.f32 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) v) (/.f32 1 v))
(/.f32 (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 v (+.f32 v v)))
(/.f32 (.f32 v (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (.f32 v (.f32 v 4)))
(/.f32 (*.f32 v (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (+.f32 v v))
(/.f32 (.f32 v (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v))) (*.f32 v 4))
(/.f32 (.f32 v (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v))) v)
(/.f32 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) (+.f32 v v)) (/.f32 1/2 v))
(/.f32 (-.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (+.f32 v v))
(/.f32 (-.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (*.f32 v 4))
(/.f32 (-.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 4) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v))) 4)
(/.f32 (-.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 4) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 (+.f32 v v) 4))
(/.f32 (-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) v)
(/.f32 (-.f32 (*.f32 v (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) v)
(/.f32 (-.f32 (.f32 v (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v))) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (+.f32 v v))
(/.f32 (-.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 v 2)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))) (/.f32 2 v))
(/.f32 (-.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) 4) (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 4)) 8)
(/.f32 (-.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) 4) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 4)) (.f32 (.f32 v 4) 4))
(/.f32 (-.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (.f32 v v)) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 v 2))) (/.f32 4 v))
(/.f32 (-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) 2)) (/.f32 1 v))
(/.f32 (-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (+.f32 v v))) (/.f32 1 v))
(/.f32 (-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) v)) (/.f32 1 v))
(/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) (/.f32 2 v)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) v)
(/.f32 (-.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) 2) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) (+.f32 v v))) (/.f32 1/2 v))
(/.f32 (-.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (+.f32 v v)) (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) (+.f32 v v))) (/.f32 1/2 v))
(/.f32 (-.f32 0 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2)) v)
(/.f32 (.f32 v (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) (/.f32 2 v))) (*.f32 v (+.f32 v v)))
(/.f32 (.f32 v (.f32 v (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))) (*.f32 v (+.f32 v v)))
(/.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (.f32 (.f32 v 4) (+.f32 v v)))
(/.f32 (.f32 (+.f32 v v) (.f32 v (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)))) (.f32 (*.f32 v 4) (+.f32 v v)))
(/.f32 (.f32 (.f32 v 4) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 (.f32 (+.f32 v v) 4) (.f32 v 4)))
(/.f32 (.f32 8 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 4)) (.f32 (.f32 (.f32 v 4) 4) 8))
(/.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v))) (*.f32 (+.f32 v v) 4))
(/.f32 (.f32 (.f32 v 4) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 4)) (.f32 8 (*.f32 v 4)))
(/.f32 (.f32 (.f32 (+.f32 v v) 4) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) 4)) (.f32 16 (.f32 (+.f32 v v) 4)))
(/.f32 (.f32 8 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 (.f32 (+.f32 v v) 4) 8))
(/.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 (.f32 (+.f32 v v) 4) (+.f32 v v)))
(/.f32 (.f32 v (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (.f32 v v))
(/.f32 (.f32 (+.f32 v v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 (+.f32 v v) (+.f32 v v)))
(/.f32 (.f32 (.f32 v 4) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (.f32 (.f32 v 4) (.f32 v 4)))
(/.f32 (.f32 4 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v))) 16)
(/.f32 (.f32 (/.f32 v 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (.f32 v (/.f32 v 2)))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v))) (*.f32 (/.f32 2 v) (/.f32 1 v)))
(/.f32 (.f32 (/.f32 v 2) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 (+.f32 v v) (/.f32 v 2)))
(/.f32 (*.f32 2 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 v 2))) (/.f32 8 v))
(/.f32 (.f32 4 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (.f32 v v))) (.f32 (/.f32 8 v) 4))
(/.f32 (*.f32 1/2 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (+.f32 v v))) (/.f32 1/2 v))
(/.f32 (.f32 (+.f32 v v) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 4)) (*.f32 8 (+.f32 v v)))
(/.f32 (.f32 2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (.f32 v v))) (.f32 (/.f32 8 v) 2))
(/.f32 (.f32 (.f32 v 4) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) 4)) (.f32 16 (.f32 v 4)))
(/.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v))) (/.f32 4 v))
(/.f32 (.f32 (+.f32 v v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (.f32 v 4))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) 2)) (*.f32 (/.f32 1 v) (/.f32 1 v)))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (+.f32 v v))) (.f32 (/.f32 1 v) (/.f32 1 v)))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) v)) (*.f32 (/.f32 1 v) (/.f32 1 v)))
(/.f32 (.f32 (.f32 (.f32 v 4) 4) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 4)) (.f32 (.f32 (.f32 v 4) 4) (.f32 (.f32 v 4) 4)))
(/.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v))) (+.f32 v v))
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 1/2) (/.f32 (.f32 v 4) 1/2))
(pow.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) 1)
(neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2)))

Outputs
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 6931/10000) (/.f32 -1 v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (.f32 (exp.f32 6931/10000) (/.f32 -1 v))))
(+.f32 (exp.f32 6931/10000) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2)))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(+.f32 (+.f32 (exp.f32 6931/10000) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 3)))) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (*.f32 (exp.f32 6931/10000) (/.f32 -1 v))))
(+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (+.f32 (+.f32 (exp.f32 6931/10000) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 3)))) (neg.f32 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v))) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 3)))))
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 6931/10000) (/.f32 -1 v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (.f32 (exp.f32 6931/10000) (/.f32 -1 v))))
(+.f32 (exp.f32 6931/10000) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2)))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(+.f32 (+.f32 (exp.f32 6931/10000) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 3)))) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (*.f32 (exp.f32 6931/10000) (/.f32 -1 v))))
(+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (+.f32 (+.f32 (exp.f32 6931/10000) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 3)))) (neg.f32 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v))) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 3)))))
(/.f32 -1 v)
6931/10000
6931/10000
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3)))))
(+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3)))))
(-.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (*.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4))))))
(+.f32 (+.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3)))) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4)))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3)))))
(+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3)))))
(-.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (*.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4))))))
(+.f32 (+.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3)))) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (.f32 (exp.f32 6931/10000) (/.f32 -1/2 (pow.f32 v 2))))
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(/.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (.f32 (.f32 v 4) (+.f32 v v)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (+.f32 v v) (.f32 v (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)))) (.f32 (*.f32 v 4) (+.f32 v v)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (.f32 v 4) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 (.f32 (+.f32 v v) 4) (.f32 v 4)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 8 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 4)) (.f32 (.f32 (.f32 v 4) 4) 8))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v))) (*.f32 (+.f32 v v) 4))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (.f32 v 4) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 4)) (.f32 8 (*.f32 v 4)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (.f32 (+.f32 v v) 4) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) 4)) (.f32 16 (.f32 (+.f32 v v) 4)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 8 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 (.f32 (+.f32 v v) 4) 8))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 (.f32 (+.f32 v v) 4) (+.f32 v v)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 v (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (.f32 v v))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (+.f32 v v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 (+.f32 v v) (+.f32 v v)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (.f32 v 4) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (.f32 (.f32 v 4) (.f32 v 4)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 4 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v))) 16)
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (/.f32 v 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (.f32 v (/.f32 v 2)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v))) (*.f32 (/.f32 2 v) (/.f32 1 v)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (/.f32 v 2) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 (+.f32 v v) (/.f32 v 2)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (*.f32 2 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 v 2))) (/.f32 8 v))
(/.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 2 (/.f32 v 2))) (/.f32 8 v))
(/.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) 4) (/.f32 8 v))
(/.f32 (.f32 4 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (.f32 v v))) (.f32 (/.f32 8 v) 4))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (*.f32 1/2 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (+.f32 v v))) (/.f32 1/2 v))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (+.f32 v v) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 4)) (*.f32 8 (+.f32 v v)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (.f32 v v))) (.f32 (/.f32 8 v) 2))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (.f32 v 4) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) 4)) (.f32 16 (.f32 v 4)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v))) (/.f32 4 v))
(/.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 2 (/.f32 v 2))) (/.f32 8 v))
(/.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) 4) (/.f32 8 v))
(/.f32 (.f32 (+.f32 v v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (.f32 v 4))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) 2)) (*.f32 (/.f32 1 v) (/.f32 1 v)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (+.f32 v v))) (.f32 (/.f32 1 v) (/.f32 1 v)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (/.f32 1 v) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) v)) (*.f32 (/.f32 1 v) (/.f32 1 v)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (.f32 (.f32 v 4) 4) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 4)) (.f32 (.f32 (.f32 v 4) 4) (.f32 (.f32 v 4) 4)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v))) (+.f32 v v))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 1/2) (/.f32 (.f32 v 4) 1/2))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(pow.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) 1)
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2)))
(-.f32 1 (+.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))

localize8.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% saved)

localize229.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (/.f32 2 v))
✓	0.1b	(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
✓	0.1b	(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)))
✓	13.3b	(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v))

Compiler

Compiled 83 to 45 computations (45.8% saved)

series14.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	sinTheta_O	@	0	(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
1.0ms	sinTheta_i	@	0	(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v))
1.0ms	sinTheta_i	@	inf	(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v))
1.0ms	sinTheta_i	@	inf	(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (/.f32 2 v))
1.0ms	sinTheta_O	@	inf	(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v))

rewrite123.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`rational_best-simplify-55`
740×	`rational_best-4`
740×	`rational_best-2`
740×	`rational_best-3`
740×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	148
1	137	148
2	399	136
3	1821	136

Stop Event

1×	node limit

Counts

4 → 309

Calls

Call 1

Inputs
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v))
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (/.f32 2 v))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (/.f32 (/.f32 0 v) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (/.f32 0 v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (neg.f32 (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (neg.f32 (/.f32 (/.f32 0 v) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (+.f32 (/.f32 0 v) (/.f32 (/.f32 0 v) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (+.f32 (/.f32 (/.f32 0 v) v) (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 0 v) v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2) (.f32 v v)) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2) (.f32 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2) (.f32 v v)) (+.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2) (.f32 v v)) (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (/.f32 (/.f32 0 v) v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (/.f32 0 v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (neg.f32 (/.f32 0 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 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simplify327.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational_best-simplify-50`
1294×	`rational_best-simplify-108`
1138×	`rational_best-simplify-1`
1104×	`rational_best-simplify-53`
984×	`rational_best-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	731	20801
1	2254	20377

Stop Event

1×	node limit

Counts

453 → 418

Calls

Call 1

Inputs
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2))
(+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)) (.f32 -1 (/.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)) (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (.f32 -1/6 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (*.f32 (pow.f32 sinTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 5))))))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2))
(+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)) (.f32 -1 (/.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)) (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (.f32 -1/6 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (*.f32 (pow.f32 sinTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 5))))))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 6931/10000) (pow.f32 v 2))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 4))) (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3) (exp.f32 6931/10000)) (pow.f32 v 5))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 4))) (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(/.f32 (exp.f32 6931/10000) (pow.f32 v 2))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 4))) (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3) (exp.f32 6931/10000)) (pow.f32 v 5))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 4))) (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 (pow.f32 sinTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (*.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))
(exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))
(exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))
(exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))
(exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))
(exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))
(exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))
(exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))
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(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) v))
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(pow.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) 2) v) 1)

Outputs
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2))
(+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)) (.f32 -1 (/.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))))
(+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 sinTheta_i sinTheta_O)) (/.f32 -1 (pow.f32 v 3))))
(+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)) (neg.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 sinTheta_i sinTheta_O)) (pow.f32 v 3))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3)))))
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(+.f32 (neg.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 sinTheta_i sinTheta_O)) (pow.f32 v 3))) (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2)) (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (/.f32 1/2 (pow.f32 v 4)))))
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(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
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(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
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(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
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(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 2))
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(.f32 1 (/.f32 (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)))) (.f32 (/.f32 4 v) (*.f32 v (/.f32 v (/.f32 2 v))))))
(.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2) (/.f32 2 v)) (/.f32 1 (/.f32 v (/.f32 2 v))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (/.f32 (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 2 v)) (/.f32 1 (/.f32 (.f32 v (+.f32 v v)) (/.f32 2 v))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (.f32 v (+.f32 v v)) v)) (/.f32 1 (/.f32 (/.f32 2 v) (+.f32 v v))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (/.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2) v) (+.f32 v v)) (/.f32 1 (/.f32 1 (+.f32 v v))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 2 (.f32 v v))) (+.f32 v v)) (/.f32 1 (/.f32 (/.f32 4 v) (+.f32 v v))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4) (.f32 v v)) (+.f32 v v)) (/.f32 1 (/.f32 (/.f32 8 v) (+.f32 v v))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (+.f32 v v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) v)) (/.f32 1/2 (+.f32 v v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (/.f32 2 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v))) (/.f32 (*.f32 v 1/2) (/.f32 2 v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (+.f32 v v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 (/.f32 1 (+.f32 v v)) (+.f32 v v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (/.f32 2 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 2 (*.f32 v v)))) (/.f32 (/.f32 1 (/.f32 4 v)) (/.f32 2 v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (+.f32 v v) (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))))) (/.f32 (/.f32 1 (*.f32 v (+.f32 v v))) (+.f32 v v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (/.f32 2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 (/.f32 1 (+.f32 v v)) (/.f32 2 v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (/.f32 2 v) (.f32 2 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))))) (/.f32 (/.f32 1 (*.f32 v 4)) (/.f32 2 v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (/.f32 2 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v 1/2))) (/.f32 (/.f32 1 (.f32 v v)) (/.f32 2 v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (/.f32 2 v) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2) v)) (.f32 v 1/2))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (/.f32 2 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) 2)) (/.f32 v (+.f32 v v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (/.f32 2 v) (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))))) (/.f32 (/.f32 1 (*.f32 v (+.f32 v v))) (/.f32 2 v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (/.f32 2 v) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4) (*.f32 v v))) (/.f32 (/.f32 1 (/.f32 8 v)) (/.f32 2 v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (+.f32 v v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v))) (/.f32 (*.f32 v 1/2) (+.f32 v v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v 1/2))) (/.f32 (/.f32 1 (.f32 v v)) (+.f32 v v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 2 (*.f32 v v)))) (/.f32 (/.f32 1 (/.f32 4 v)) (+.f32 v v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (+.f32 v v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) 2)) (/.f32 (/.f32 1 v) (+.f32 v v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (+.f32 v v) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4) (*.f32 v v))) (/.f32 (/.f32 1 (/.f32 8 v)) (+.f32 v v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (/.f32 2 v) (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2))) (/.f32 (/.f32 1 (neg.f32 v)) (/.f32 2 v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (/.f32 2 v) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v 1/2)) (fabs.f32 v))) (/.f32 (/.f32 1 (fabs.f32 v)) (/.f32 2 v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (+.f32 v v) (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 2))) (/.f32 (/.f32 1 (neg.f32 v)) (+.f32 v v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 (.f32 (+.f32 v v) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v 1/2)) (fabs.f32 v))) (/.f32 (/.f32 1 (fabs.f32 v)) (+.f32 v v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(pow.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) 2) v) 1)
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))

localize140.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)
	0.1b	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
	0.1b	(exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))
	0.5b	(*.f32 v (/.f32 2 v))

Compiler

Compiled 195 to 98 computations (49.7% saved)

localize166.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000))
	0.1b	(exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2)))
✓	0.2b	(.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
	0.2b	(/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2)

Compiler

Compiled 240 to 131 computations (45.4% saved)

series7.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	sinTheta_O	@	inf	(.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
1.0ms	v	@	-inf	(exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000))
1.0ms	sinTheta_O	@	0	(exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000))
1.0ms	v	@	inf	(exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000))
1.0ms	sinTheta_i	@	0	(exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000))

rewrite110.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1936×	`rational_best-4`
1936×	`rational_best-2`
1936×	`rational_best-3`
1936×	`rational_best-1`
1936×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	92
1	127	92
2	275	92
3	858	92
4	4583	92

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs

(*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))

(exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) 2) (/.f32 (log.f32 (/.f32 1/2 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 4) (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (log.f32 (/.f32 1/2 v)) 2) (/.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)) 2) (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 2) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) 2) (/.f32 (neg.f32 (/.f32 1 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 0 v)) 2) (/.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (+.f32 v v))) 2) (/.f32 (/.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) 4) (/.f32 (+.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) (*.f32 (log.f32 (/.f32 1/2 v)) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)) 4) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (-.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 1/2 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 0 v) (/.f32 (-.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 1/2 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 4) (/.f32 (neg.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 4) (/.f32 (-.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 1/2 v))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (log.f32 (/.f32 1/2 v)) 2) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (+.f32 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -1/2 v) (/.f32 (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (log.f32 (/.f32 1/2 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2) (/.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2) (/.f32 (neg.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (exp.f32 6931/20000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 6931/20000) (exp.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (exp.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) 2) (/.f32 (exp.f32 6931/20000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (exp.f32 6931/20000) 2) (/.f32 (exp.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 4) 6931/40000)) (exp.f32 (+.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 4) 6931/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2)) (*.f32 2 (*.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (+.f32 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 1)))))

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1462×	`rational_best-simplify-51`
1430×	`rational_best-simplify-57`
1304×	`rational_best-simplify-1`
600×	`rational_best-simplify-108`
592×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	7273
1	630	7239
2	1613	7235
3	5168	7235

Stop Event

1×	node limit

Counts

117 → 129

Calls

Call 1

Inputs
(.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))) (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))) (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))) (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(*.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))
(*.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (*.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))))
(+.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 (+.f32 6931/20000 (*.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))))) v)))
(+.f32 (.f32 1/8 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))))) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 (+.f32 6931/20000 (*.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))))) v))))
(+.f32 (.f32 1/8 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))))) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))) (+.f32 (.f32 -1/48 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3) (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))))) (pow.f32 v 3))) (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 (+.f32 6931/20000 (*.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))))) v)))))
(exp.f32 (+.f32 6931/20000 (*.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))))
(+.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 -1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 1/8 (/.f32 (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (pow.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)) (+.f32 (.f32 -1/48 (/.f32 (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3)) (pow.f32 v 3))) (.f32 1/8 (/.f32 (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (pow.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) 2)) (pow.f32 v 2))))))
(exp.f32 (+.f32 6931/20000 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 6931/20000 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (.f32 sinTheta_i sinTheta_O)) v)) (+.f32 (.f32 1/8 (/.f32 (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (pow.f32 v 2))) (exp.f32 (+.f32 6931/20000 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (.f32 sinTheta_i sinTheta_O)) v)) (+.f32 (.f32 1/8 (/.f32 (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (.f32 (pow.f32 sinTheta_i 2) (pow.f32 sinTheta_O 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (.f32 -1/48 (/.f32 (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (*.f32 (pow.f32 sinTheta_i 3) (pow.f32 sinTheta_O 3))) (pow.f32 v 3))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) sinTheta_O)) v)) (exp.f32 (+.f32 6931/20000 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) sinTheta_O)) v)) (+.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (.f32 1/8 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (exp.f32 (+.f32 6931/20000 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (pow.f32 sinTheta_O 2))) (pow.f32 v 2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) sinTheta_O)) v)) (+.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (+.f32 (.f32 1/8 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (pow.f32 sinTheta_O 2))) (pow.f32 v 2))) (.f32 -1/48 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 (exp.f32 (+.f32 6931/20000 (*.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (pow.f32 sinTheta_O 3))) (pow.f32 v 3))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 0)
(+.f32 0 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))
(+.f32 (/.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) 2) (/.f32 (log.f32 (/.f32 1/2 v)) 2))
(+.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) 4) (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) 4))
(+.f32 (/.f32 (log.f32 (/.f32 1/2 v)) 2) (/.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) 2))
(+.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)) 2) (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 2))
(+.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 2) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)) 2))
(+.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) 2) (/.f32 (neg.f32 (/.f32 1 v)) 2))
(+.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 0 v)) 2) (/.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v) 2))
(+.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (+.f32 v v))) 2) (/.f32 (/.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) 2) 2))
(+.f32 (/.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) 4) (/.f32 (+.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) (*.f32 (log.f32 (/.f32 1/2 v)) 2)) 4))
(+.f32 (/.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)) 4) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))) 4))
(-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 2))
(-.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 0)
(-.f32 0 (/.f32 (-.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 1/2 v))) 2))
(-.f32 (/.f32 0 v) (/.f32 (-.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 1/2 v))) 2))
(-.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) 4) (/.f32 (neg.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) 2))
(-.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) 4) (/.f32 (-.f32 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 1/2 v))) 4))
(-.f32 (/.f32 (log.f32 (/.f32 1/2 v)) 2) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (+.f32 v v)))
(-.f32 (/.f32 -1/2 v) (/.f32 (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (log.f32 (/.f32 1/2 v))) 2))
(/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 2)
(/.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 1)
(/.f32 (.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) 2) 4)
(/.f32 (.f32 2 (.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 2)) 8)
(pow.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 1)
(+.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 0)
(+.f32 0 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)))
(+.f32 (/.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2) (/.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2))
(-.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 0)
(-.f32 (/.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2) (/.f32 (neg.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000))) 2))
(.f32 1/2 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2))
(.f32 1 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)))
(.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 1)
(.f32 (exp.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (exp.f32 6931/20000))
(.f32 (exp.f32 6931/20000) (exp.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))))
(.f32 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2) 1/2)
(.f32 (.f32 (exp.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) 2) (/.f32 (exp.f32 6931/20000) 2))
(.f32 (.f32 (exp.f32 6931/20000) 2) (/.f32 (exp.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) 2))
(.f32 (.f32 2 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2)) 1/4)
(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) 4) 6931/40000)) (exp.f32 (+.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 4) 6931/40000)))
(/.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 1)
(/.f32 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2) 2)
(/.f32 (.f32 2 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2)) 4)
(/.f32 (+.f32 (.f32 2 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2)) (.f32 2 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2))) 8)
(pow.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 1)

Outputs
(.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))) (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2))))
(+.f32 (.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2))) (.f32 -1/2 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))) (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2))))
(+.f32 (.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2))) (.f32 -1/2 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))) (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (.f32 1/2 (+.f32 (.f32 -1 (log.f32 v)) (log.f32 1/2))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2))))
(+.f32 (.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (log.f32 1/2))) (.f32 -1/2 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(*.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2)))
(*.f32 1/2 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 1/2 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(+.f32 (.f32 1/2 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))) (.f32 -1/2 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 1/2 (+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 1/2 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
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(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
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(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(-.f32 (/.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2) (/.f32 (neg.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000))) 2))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(.f32 1/2 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(.f32 1 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 1)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(.f32 (exp.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (exp.f32 6931/20000))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(.f32 (exp.f32 6931/20000) (exp.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(.f32 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2) 1/2)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(.f32 (.f32 (exp.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) 2) (/.f32 (exp.f32 6931/20000) 2))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(.f32 (.f32 (exp.f32 6931/20000) 2) (/.f32 (exp.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) 2))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(.f32 (.f32 2 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2)) 1/4)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) 4) 6931/40000)) (exp.f32 (+.f32 (/.f32 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)) 4) 6931/40000)))
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(/.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 1)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(/.f32 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2) 2)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(/.f32 (.f32 2 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2)) 4)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(/.f32 (+.f32 (.f32 2 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2)) (.f32 2 (.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 2))) 8)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))
(pow.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) 1)
(exp.f32 (+.f32 6931/20000 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))))

eval1.5s (7.4%)

Compiler: Compiled 51250 to 35049 computations (31.6% saved)

prune739.0ms (3.5%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1373	16	1389
Fresh	8	3	11
Picked	1	0	1
Done	3	1	4
Total	1385	20	1405

Error

0.0b

Counts

1405 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	13.8b	(/.f32 (/.f32 (.f32 (.f32 (/.f32 1 v) (exp.f32 6931/10000)) (/.f32 (exp.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 1 v))) (.f32 v v)) (/.f32 2 v))
	13.9b	(/.f32 (.f32 (/.f32 v 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (.f32 v (/.f32 v 2)))
	25.1b	(/.f32 (.f32 (.f32 (.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4)) (/.f32 (/.f32 1 (.f32 v (.f32 v 4))) (.f32 v v))) (/.f32 2 v))
	13.1b	(/.f32 (.f32 (.f32 (.f32 v 4) 4) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 4)) (.f32 (.f32 (.f32 v 4) 4) (.f32 (.f32 v 4) 4)))
✓	30.5b	(/.f32 1/2 v)
▶	30.6b	(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
▶	13.8b	(.f32 (.f32 (/.f32 2 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v))) (/.f32 (*.f32 v 1/2) (/.f32 2 v)))
	0.3b	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
	0.2b	(.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) (.f32 (log.f32 (/.f32 1/2 v)) 2))) 4) 6931/20000)) (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2))))
	0.2b	(.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)))
	0.2b	(.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (+.f32 (log.f32 1/2) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)))))))
	0.2b	(*.f32 1/2 (/.f32 (/.f32 1 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))) v))
	0.8b	(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
	16.0b	(.f32 1/2 (.f32 (/.f32 (/.f32 1 v) v) (*.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
▶	13.8b	(.f32 1/2 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) v))
	0.5b	(.f32 1/2 (.f32 (/.f32 2 v) (.f32 v (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)))))
	0.5b	(.f32 1/2 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v))))
▶	0.5b	(.f32 1/2 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)))))
▶	0.1b	(.f32 1/2 (.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 4) (.f32 v (/.f32 1/4 v))))
	0.2b	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) 1) v)))

Compiler

Compiled 1098 to 857 computations (21.9% saved)

localize106.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
✓	0.1b	(+.f32 6931/10000 (/.f32 -1 v))
✓	0.1b	(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
✓	0.2b	(*.f32 v (/.f32 1/4 v))

Compiler

Compiled 85 to 66 computations (22.4% saved)

series1.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
0.0ms	v	@	inf	(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
0.0ms	v	@	-inf	(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
0.0ms	v	@	-inf	(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
0.0ms	v	@	0	(*.f32 v (/.f32 1/4 v))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`rational_best-4`
932×	`rational_best-2`
932×	`rational_best-3`
932×	`rational_best-1`
932×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	96	66
2	223	66
3	657	54
4	3316	54

Stop Event

1×	node limit

Counts

4 → 235

Calls

Call 1

Inputs
(*.f32 v (/.f32 1/4 v))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 6931/10000 (/.f32 -1 v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/4)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 2) (+.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) 4) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) 4) (+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) 4) (/.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 v (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) v)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 -1 (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 v v) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 -1/2 v) v)) (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (/.f32 (/.f32 -1/2 v) (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -2 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (+.f32 v v)) (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -2 (/.f32 (.f32 (/.f32 1/4 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 (/.f32 1 v) (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) 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simplify209.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1252×	`rational_best-simplify-47`
1056×	`rational_best-simplify-55`
868×	`rational_best-simplify-50`
842×	`rational_best-simplify-108`
832×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	472	6851
1	1456	6763
2	6225	6749

Stop Event

1×	node limit

Counts

283 → 290

Calls

Call 1

Inputs
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(/.f32 -1 v)
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
6931/10000
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
6931/10000
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
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(*.f32 (+.f32 v v) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (+.f32 v v)))
(.f32 (+.f32 v v) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 1/2 v)))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (/.f32 1/2 v))
(.f32 -2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v -2)))
(*.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 -1 v))
(*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (+.f32 v v)) 2)
(*.f32 (neg.f32 v) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (neg.f32 v)))
(*.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (+.f32 v v)))
(.f32 2 (.f32 (/.f32 1/4 v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)))
(.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)))
(.f32 (/.f32 1/2 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2))
(.f32 (/.f32 1/2 v) (.f32 v (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2)))
(.f32 (/.f32 1/2 v) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (+.f32 v v)))
(.f32 (.f32 v 4) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (*.f32 v 4)))
(.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2) 1/2)
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (/.f32 1/4 v))
(*.f32 (/.f32 v 2) (/.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (neg.f32 v)) -1/2))
(.f32 (/.f32 -1/4 v) (.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2) (.f32 v -2)))
(.f32 (/.f32 -1/4 v) (neg.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)))
(.f32 (/.f32 1/8 v) (.f32 2 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)))
(.f32 (/.f32 1/8 v) (.f32 (.f32 v 4) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2)))
(*.f32 (/.f32 1 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2) (/.f32 -1/2 v))
(*.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) -1)
(*.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/4) 1/4)
(.f32 (.f32 2 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 1/8 v))
(.f32 (/.f32 -1/2 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2))
(.f32 (/.f32 -1/2 v) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (*.f32 v -2)))
(.f32 -1/2 (.f32 -2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(.f32 (.f32 v -2) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 -1/2 v) v)))
(*.f32 -1 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) v)
(*.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 v 2)) (/.f32 1 (/.f32 2 v)))
(.f32 (/.f32 (/.f32 1/2 v) v) (.f32 v (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)))
(.f32 (/.f32 (/.f32 1/2 v) v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (+.f32 v v)))
(.f32 (/.f32 (/.f32 1 v) v) (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(.f32 (.f32 (/.f32 1/4 v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) 2)
(*.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (+.f32 v v)) (+.f32 v v))
(*.f32 (/.f32 1 (/.f32 2 v)) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 v 2)))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 -1/2 v) v)) (*.f32 v -2))
(.f32 (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 (/.f32 1 v) v))
(.f32 (.f32 (+.f32 v v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (/.f32 (/.f32 1/4 v) v))
(.f32 (.f32 (.f32 v 4) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 (/.f32 1/4 v) (*.f32 v 4)))
(.f32 (.f32 v (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (/.f32 (/.f32 1/2 v) v))
(.f32 (.f32 v (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2)) (/.f32 1/2 v))
(.f32 (.f32 v (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 (/.f32 1/4 v) v))
(.f32 (.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (/.f32 1 v)) 1/4)
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) 2)
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (+.f32 v v)) (/.f32 (/.f32 1/2 v) v))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (neg.f32 v)) (/.f32 (/.f32 -1 v) v))
(.f32 (/.f32 (/.f32 -1 v) v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (neg.f32 v)))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v 4)) (/.f32 (/.f32 1/4 v) v))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2)) (/.f32 (/.f32 -1/2 v) v))
(.f32 (/.f32 (/.f32 -1/2 v) v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2)))
(.f32 (/.f32 (/.f32 -1/2 v) v) (.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (neg.f32 v)))
(.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (+.f32 v v)) (/.f32 1/2 v))
(.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 1/2 v)) (+.f32 v v))
(.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (*.f32 v 4)) (/.f32 1/4 v))
(.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 1 v)) v)
(.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (*.f32 v -2)) (/.f32 -1/2 v))
(*.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (neg.f32 v)) (neg.f32 v))
(.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (.f32 v 4)) (*.f32 v 4))
(.f32 (/.f32 (/.f32 1/4 v) v) (.f32 (+.f32 v v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)))
(.f32 (/.f32 (/.f32 1/4 v) v) (.f32 v (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)))
(.f32 (/.f32 (/.f32 1/4 v) v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v 4)))
(.f32 (.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (neg.f32 v)) (/.f32 (/.f32 -1/2 v) v))
(.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (.f32 v 4)) (/.f32 (/.f32 1/8 v) v))
(.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (.f32 v -2)) (/.f32 (/.f32 -1/4 v) v))
(.f32 (/.f32 (/.f32 -1/4 v) v) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (.f32 v -2)))
(.f32 (/.f32 (/.f32 -1/4 v) v) (.f32 (neg.f32 v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)))
(.f32 (.f32 (+.f32 v v) (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2)) (/.f32 1/4 v))
(.f32 (.f32 (/.f32 1/2 v) (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2)) v)
(.f32 (.f32 (.f32 v 4) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2)) (/.f32 1/8 v))
(*.f32 (/.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (neg.f32 v)) -1/2) (/.f32 v 2))
(.f32 (.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2) (.f32 v -2)) (/.f32 -1/4 v))
(.f32 (.f32 -2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) -1/2)
(.f32 (.f32 (+.f32 v v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 (/.f32 1/8 v) v))
(.f32 (/.f32 (/.f32 1/8 v) v) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (.f32 v 4)))
(.f32 (/.f32 (/.f32 1/8 v) v) (.f32 (+.f32 v v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)))
(.f32 (.f32 (neg.f32 v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 (/.f32 -1/4 v) v))
(.f32 (/.f32 (/.f32 1/4 v) (.f32 v 4)) (.f32 (.f32 v 4) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)))
(.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (.f32 v -2)) (/.f32 (/.f32 1/8 v) (neg.f32 v)))
(.f32 (/.f32 (/.f32 1/8 v) (neg.f32 v)) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (.f32 v -2)))
(.f32 (neg.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 -1/4 v))
(.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v))) (/.f32 1 (/.f32 -1 v)))
(.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1)
(neg.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))

Outputs
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 6931/10000) (/.f32 -1 v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (.f32 (exp.f32 6931/10000) (/.f32 -1 v))))
(+.f32 (exp.f32 6931/10000) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2)))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(+.f32 (+.f32 (exp.f32 6931/10000) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 3)))) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (*.f32 (exp.f32 6931/10000) (/.f32 -1 v))))
(+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 3))) (+.f32 (exp.f32 6931/10000) (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))))))
(+.f32 (exp.f32 6931/10000) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 3))))))
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 6931/10000) (/.f32 -1 v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (.f32 (exp.f32 6931/10000) (/.f32 -1 v))))
(+.f32 (exp.f32 6931/10000) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2)))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(+.f32 (+.f32 (exp.f32 6931/10000) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 3)))) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (*.f32 (exp.f32 6931/10000) (/.f32 -1 v))))
(+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 3))) (+.f32 (exp.f32 6931/10000) (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))))))
(+.f32 (exp.f32 6931/10000) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2))) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 3))))))
(/.f32 -1 v)
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
6931/10000
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
6931/10000
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2)))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3)))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (+.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3)))) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4))) (*.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2)))))
(+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4))))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4)))) (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2)))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3)))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (+.f32 (/.f32 (exp.f32 6931/10000) v) (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3)))) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4))) (*.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2)))))
(+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4))))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4)))) (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
1/4
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(.f32 (/.f32 1/8 v) (.f32 (.f32 v 4) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2)))
(.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (.f32 (.f32 v 4) (/.f32 1/8 v)))
(.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (/.f32 1/2 (/.f32 v v)))
(*.f32 (/.f32 1 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2) (/.f32 -1/2 v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(*.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) -1)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(*.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/4) 1/4)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 2 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 1/8 v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 -1/2 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) -2))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 -1/2 v) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (*.f32 v -2)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 -1/2 (.f32 -2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 v -2) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 -1/2 v) v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(*.f32 -1 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(*.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 v 2)) (/.f32 1 (/.f32 2 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 1/2 v) v) (.f32 v (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 1/2 v) v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (+.f32 v v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 1 v) v) (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (/.f32 1/4 v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) 2)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(*.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (+.f32 v v)) (+.f32 v v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(*.f32 (/.f32 1 (/.f32 2 v)) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 v 2)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 -1/2 v) v)) (*.f32 v -2))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 (/.f32 1 v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (+.f32 v v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (/.f32 (/.f32 1/4 v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (.f32 v 4) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 (/.f32 1/4 v) (*.f32 v 4)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 v (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (/.f32 (/.f32 1/2 v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 v (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2)) (/.f32 1/2 v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 v (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 (/.f32 1/4 v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (/.f32 1 v)) 1/4)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) 2)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (+.f32 v v)) (/.f32 (/.f32 1/2 v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (neg.f32 v)) (/.f32 (/.f32 -1 v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 -1 v) v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (neg.f32 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v 4)) (/.f32 (/.f32 1/4 v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2)) (/.f32 (/.f32 -1/2 v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 -1/2 v) v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v -2)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 -1/2 v) v) (.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (neg.f32 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (+.f32 v v)) (/.f32 1/2 v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 1/2 v)) (+.f32 v v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (*.f32 v 4)) (/.f32 1/4 v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 1 v)) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (*.f32 v -2)) (/.f32 -1/2 v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(*.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (neg.f32 v)) (neg.f32 v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (.f32 v 4)) (*.f32 v 4))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 1/4 v) v) (.f32 (+.f32 v v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 1/4 v) v) (.f32 v (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 1/4 v) v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v 4)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (neg.f32 v)) (/.f32 (/.f32 -1/2 v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (.f32 v 4)) (/.f32 (/.f32 1/8 v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (.f32 v -2)) (/.f32 (/.f32 -1/4 v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 -1/4 v) v) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (.f32 v -2)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 -1/4 v) v) (.f32 (neg.f32 v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)))
(.f32 (.f32 4 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 (neg.f32 v) (/.f32 -1/4 (.f32 v v))))
(.f32 (.f32 4 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (-.f32 (/.f32 1/4 v) (/.f32 0 v)))
(.f32 (.f32 (+.f32 v v) (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2)) (/.f32 1/4 v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (/.f32 1/2 v) (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2)) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (.f32 v 4) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2)) (/.f32 1/8 v))
(.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (.f32 (.f32 v 4) (/.f32 1/8 v)))
(.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (/.f32 1/2 (/.f32 v v)))
(*.f32 (/.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (neg.f32 v)) -1/2) (/.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2) (.f32 v -2)) (/.f32 -1/4 v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 -2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) -1/2)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (+.f32 v v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 (/.f32 1/8 v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 1/8 v) v) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (.f32 v 4)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (/.f32 (/.f32 1/8 v) v) (.f32 (+.f32 v v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (neg.f32 v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 (/.f32 -1/4 v) v))
(.f32 (.f32 4 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 (neg.f32 v) (/.f32 -1/4 (.f32 v v))))
(.f32 (.f32 4 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (-.f32 (/.f32 1/4 v) (/.f32 0 v)))
(.f32 (/.f32 (/.f32 1/4 v) (.f32 v 4)) (.f32 (.f32 v 4) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (.f32 v -2)) (/.f32 (/.f32 1/8 v) (neg.f32 v)))
(.f32 (.f32 v -2) (.f32 (.f32 4 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 (/.f32 1/8 v) (neg.f32 v))))
(.f32 (.f32 (*.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) -8) (/.f32 (/.f32 -1/8 v) v))
(.f32 (/.f32 (/.f32 1/8 v) (neg.f32 v)) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (.f32 v -2)))
(.f32 (.f32 v -2) (.f32 (.f32 4 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 (/.f32 1/8 v) (neg.f32 v))))
(.f32 (.f32 (*.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) -8) (/.f32 (/.f32 -1/8 v) v))
(.f32 (neg.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 -1/4 v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v))) (/.f32 1 (/.f32 -1 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (+.f32 -1 (.f32 2 (/.f32 v v))) v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (+.f32 -1 (.f32 v (/.f32 2 v))) v))
(pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(neg.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f32 cosTheta_i cosTheta_O)
✓	0.0b	(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
✓	0.1b	(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
	7.8b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 39 to 18 computations (53.8% saved)

series4.0ms (0%)

Counts

2 → 45

Calls

18 calls:

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

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`rational_best-simplify-51`
1230×	`rational_best-4`
1230×	`rational_best-2`
1230×	`rational_best-3`
1230×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	83	50
2	176	50
3	568	50
4	2979	50

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/2 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (+.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) v) (neg.f32 (*.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/4 v) (+.f32 (/.f32 1/4 v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (+.f32 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/4 v) (/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v 2))) (*.f32 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (+.f32 v v))) (/.f32 1/2 v))))) (#(struct:change 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simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1370×	`rational_best-simplify-55`
1058×	`rational_best-simplify-54`
834×	`rational_best-simplify-64`
688×	`rational_best-simplify-52`
634×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	4278
1	564	4002
2	2241	3984

Stop Event

1×	node limit

Counts

132 → 113

Calls

Call 1

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

Outputs
(/.f32 1/2 v)
(+.f32 (.f32 1/2 (/.f32 1 v)) (.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
(.f32 1/2 (+.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
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(.f32 1/2 (+.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
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(+.f32 (.f32 1/2 (/.f32 1 v)) (.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
(.f32 1/2 (+.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
(+.f32 (/.f32 1/2 v) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 1/2 (pow.f32 v 2)))))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2)))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 1/2 (pow.f32 v 2))))
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(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 1/2 (pow.f32 v 2))))
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(/.f32 1/2 v)
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(.f32 1/2 (+.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
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(.f32 1/2 (+.f32 (/.f32 1 v) (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v 2))))
(+.f32 (/.f32 1/2 v) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 1/2 (pow.f32 v 2)))))
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(/.f32 (+.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))) v)
(/.f32 (/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) v) 2)
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 v v))
(/.f32 (+.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))) v)
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2) (.f32 v 4))
(+.f32 (/.f32 1/4 v) (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2))) (.f32 v 4)))
(+.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) (.f32 v 4)) (/.f32 1/2 v))
(/.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) 2) (.f32 v 4))
(/.f32 (+.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))) v)
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 v v))
(/.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 v)) 4)
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 v v))
(/.f32 (+.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))) v)
(/.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) (.f32 2 (.f32 v 4)))
(+.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2) (.f32 v 4)) 0)
(+.f32 0 (/.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) 2) (.f32 v 4)))
(/.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) (*.f32 (+.f32 v v) 4))
(/.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) (.f32 2 (.f32 v 4)))
(+.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2) (.f32 v 4)) 0)
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(/.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v v)) (/.f32 2 v))
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 v v))
(/.f32 (+.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))) v)
(/.f32 (/.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) v) (/.f32 (.f32 2 (.f32 v 4)) v))
(/.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) (.f32 2 (.f32 v 4)))
(+.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2) (.f32 v 4)) 0)
(+.f32 0 (/.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) 2) (.f32 v 4)))
(/.f32 (/.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v v)) 2) (/.f32 1 v))
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 v v))
(/.f32 (+.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))) v)
(/.f32 (/.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 v)) v) (/.f32 4 v))
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 v v))
(/.f32 (+.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))) v)
(/.f32 (/.f32 (/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) v) (+.f32 v v)) (/.f32 1 v))
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 v v))
(/.f32 (+.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))) v)
(/.f32 (+.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2))) (+.f32 (.f32 2 (.f32 v 4)) (.f32 2 (.f32 v 4))))
(/.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) (.f32 2 (.f32 v 4)))
(+.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2) (.f32 v 4)) 0)
(+.f32 0 (/.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) 2) (.f32 v 4)))
(/.f32 (+.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 v)) (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 v))) 8)
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 v v))
(/.f32 (+.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))) v)
(/.f32 (/.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v)) v) (/.f32 1 v))
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 v v))
(/.f32 (+.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))) v)
(/.f32 (.f32 4 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2))) (.f32 4 (.f32 2 (.f32 v 4))))
(/.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) (.f32 2 (.f32 v 4)))
(+.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2) (.f32 v 4)) 0)
(+.f32 0 (/.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) 2) (.f32 v 4)))
(/.f32 (.f32 (/.f32 2 v) (.f32 2 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2))) 16)
(/.f32 (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2) (*.f32 2 (/.f32 2 v))) 16)
(/.f32 (.f32 (/.f32 1 v) (.f32 4 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2))) 16)
(/.f32 (/.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v)) (+.f32 v v)) (/.f32 1/2 v))
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 v v))
(/.f32 (+.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))) v)
(pow.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v)) 1)
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 v v))
(/.f32 (+.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))) v)
(neg.f32 (neg.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))))
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 v v))
(/.f32 (+.f32 1/2 (/.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 v v))) v)
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) -1)
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(-.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 0)
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(-.f32 0 (-.f32 -1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 v v)) (+.f32 -1 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v -2))))
(+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 v v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v -2))) 1)
(-.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 v v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v -2)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) -1))
(+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 1)
(+.f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) (+.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) -1) 0))
(+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 1)
(+.f32 1 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(-.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 v v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v -2)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 v v)) (+.f32 -1 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v -2))))
(+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 v v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v -2))) 1)
(-.f32 (+.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 v v))) (/.f32 (-.f32 -1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2))
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(-.f32 (+.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 v v))) (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v -2)) -1/2))
(+.f32 (-.f32 (+.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 v v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v -2))) 1/2)
(+.f32 1/2 (-.f32 (+.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 v v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v -2))))
(-.f32 (+.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 v v))) (+.f32 (/.f32 (-.f32 -1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) 0))
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 1 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 1)
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 1/2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2))
(.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2) 1/2)
(.f32 1/2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2))
(.f32 (.f32 2 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) 1/4)
(.f32 1/2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2))
(.f32 1/4 (.f32 2 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)))
(.f32 1/2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2))
(/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v)) (/.f32 1/2 v))
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (/.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) v) (/.f32 1 v))
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2) 2)
(-.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) 2) -1)
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 v 2) 2)) 1)
(+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 2 (/.f32 v 2))))
(/.f32 (.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 2 v)) (/.f32 2 v))
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) 4)
(/.f32 (/.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) v) (/.f32 4 v))
(/.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) 4)
(/.f32 (+.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2))) 8)
(/.f32 (.f32 2 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) -2)) 4)
(pow.f32 (+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1)
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(neg.f32 (-.f32 -1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(-.f32 1 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))

localize88.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) v)
	0.1b	(+.f32 6931/10000 (/.f32 -1 v))
	0.1b	(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
✓	13.3b	(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))

Compiler

Compiled 62 to 42 computations (32.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
0.0ms	v	@	inf	(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
0.0ms	v	@	-inf	(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
0.0ms	v	@	-inf	(.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) v)
0.0ms	v	@	inf	(.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) v)

rewrite139.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1788×	`rational_best-2`
1788×	`rational_best-3`
1788×	`rational_best-1`
566×	`rational_best-simplify-78`
512×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	89	64
2	236	52
3	881	52
4	5775	52

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

Inputs
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) v)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v (*.f32 v 4))) (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (*.f32 v (*.f32 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) 2) (/.f32 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (*.f32 v (+.f32 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) 0)))) (#(struct:change #<rule 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(neg.f32 v) (*.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) (*.f32 (*.f32 v v) (neg.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (*.f32 v 4)) (*.f32 (*.f32 v 4) (*.f32 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 v 4) (/.f32 (*.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) v)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 (*.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) v) (*.f32 v 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 2 v) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1)))))

simplify259.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1250×	`rational_best-simplify-108`
1066×	`rational_best-simplify-47`
972×	`rational_best-simplify-55`
784×	`rational_best-simplify-50`
762×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	424	7294
1	1467	6886
2	6753	6884

Stop Event

1×	node limit

Counts

202 → 224

Calls

Call 1

Inputs
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2))
(/.f32 (exp.f32 6931/10000) (pow.f32 v 2))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 5))) (+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(/.f32 (exp.f32 6931/10000) (pow.f32 v 2))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 5))) (+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) 0)
(+.f32 0 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)))
(+.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v (.f32 v 4))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (.f32 v (*.f32 v 4))))
(+.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) 2) (/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (*.f32 v (+.f32 v v))) 2))
(-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) 0)
(-.f32 0 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))))
(-.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 -2 (*.f32 v v))))
(-.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) (/.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v))) 2))
(-.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)))
(-.f32 (/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (.f32 v (+.f32 v v))) 2) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 -2 (.f32 v v))) 2))
(-.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (.f32 v (.f32 v 4))) (/.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 v (*.f32 v 4))))
(.f32 v (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v (*.f32 v v))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1 (.f32 v v)))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 (/.f32 1 v) (/.f32 1 v)))
(.f32 (.f32 v v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 (.f32 v v) (*.f32 v v))))
(.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) 1)
(.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)))
(*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 1 v))
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(/.f32 (.f32 (neg.f32 v) (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) (.f32 (.f32 v v) (neg.f32 v)))
(/.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (.f32 v 4)) (.f32 (.f32 v 4) (.f32 v 4)))
(/.f32 (.f32 (.f32 v 4) (/.f32 (*.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) v)) 16)
(/.f32 (.f32 (/.f32 (.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) v) (*.f32 v 4)) 16)
(/.f32 (.f32 (/.f32 2 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) 4)
(pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1)

Outputs
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 2))
(/.f32 (exp.f32 6931/10000) (pow.f32 v 2))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
(+.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (*.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 3))))
(+.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 4))) (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 3)))))
(+.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 4)))))
(+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 5))) (+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (+.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 4)))) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 3))) (*.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 5)))))
(+.f32 (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 4)))) (+.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 5)))))
(/.f32 (exp.f32 6931/10000) (pow.f32 v 2))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
(+.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (*.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 3))))
(+.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 4))) (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 3)))))
(+.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 4)))))
(+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 5))) (+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (+.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 4)))) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 3))) (*.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 5)))))
(+.f32 (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 4)))) (+.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 5)))))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2)))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (*.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/2)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (*.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4))))))
(+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/2) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4))))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (+.f32 (.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/2) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4)))) (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2)))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (*.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/2)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (.f32 (exp.f32 6931/10000) (/.f32 -1 (pow.f32 v 2))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 3))) (*.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4))))))
(+.f32 (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/2) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4))))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (+.f32 (.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/2) (.f32 (exp.f32 6931/10000) (/.f32 -1/6 (pow.f32 v 4)))) (neg.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) 0)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(+.f32 0 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(+.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v (.f32 v 4))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (.f32 v (*.f32 v 4))))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(+.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) 2) (/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (*.f32 v (+.f32 v v))) 2))
(/.f32 (+.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 (.f32 v v))) (/.f32 (.f32 3 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 v (+.f32 v v)))) 2)
(/.f32 (+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 6) (*.f32 v (+.f32 v v)))) 4)
(-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) 0)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(-.f32 0 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(-.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 -2 (*.f32 v v))))
(-.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 (.f32 v v))) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 (.f32 v v) -2)))
(-.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v (*.f32 v -2))))
(-.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) (/.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v))) 2))
(-.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 (.f32 v v))) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 (.f32 v v) -2)))
(-.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v (*.f32 v -2))))
(-.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(-.f32 (/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (.f32 v (+.f32 v v))) 2) (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 -2 (.f32 v v))) 2))
(/.f32 (-.f32 (/.f32 (.f32 3 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 v (+.f32 v v))) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 (.f32 v v) -2))) 2)
(-.f32 (/.f32 (.f32 3 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 2 (.f32 v (+.f32 v v)))) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 (*.f32 v v) -4)))
(/.f32 (-.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 6) (.f32 v (+.f32 v v))) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v (neg.f32 v)))) 4)
(-.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (.f32 v (.f32 v 4))) (/.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 v (*.f32 v 4))))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 v (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v (*.f32 v v))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 v (.f32 v (*.f32 v v))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1 (.f32 v v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 (/.f32 1 v) (/.f32 1 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (.f32 v v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 (.f32 v v) (*.f32 v v))))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) 1)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 1 v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (/.f32 (/.f32 1/2 v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (*.f32 (/.f32 1/2 v) (/.f32 1 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 (exp.f32 (/.f32 -1 v)) v) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 (exp.f32 (/.f32 -1 v)) (neg.f32 v)) (neg.f32 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 (exp.f32 (/.f32 -1 v)) (fabs.f32 v)) (fabs.f32 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (exp.f32 (/.f32 -1 v)) (/.f32 (exp.f32 6931/10000) (.f32 v v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 (/.f32 (exp.f32 6931/10000) (neg.f32 v)) (neg.f32 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 (/.f32 (exp.f32 6931/10000) (fabs.f32 v)) (fabs.f32 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (/.f32 1/2 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (.f32 (exp.f32 6931/10000) 2) (/.f32 (/.f32 (exp.f32 (/.f32 -1 v)) v) (+.f32 v v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) 2)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)) (*.f32 (+.f32 v v) (/.f32 1 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(*.f32 (/.f32 1 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 (/.f32 -1 v)) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(*.f32 (/.f32 (exp.f32 (/.f32 -1 v)) v) (/.f32 (exp.f32 6931/10000) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (/.f32 1/2 v) v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) 2) 1/2)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) (/.f32 1/2 v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (/.f32 1 (.f32 v (.f32 v 4))))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
(.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (/.f32 (/.f32 1 v) (*.f32 v 4)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v))
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(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (*.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) 4)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(/.f32 (.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (/.f32 (.f32 v 4) v))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
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(/.f32 (.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (.f32 (*.f32 v 4) (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 2 (.f32 v 4)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(/.f32 (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 (.f32 2 (.f32 v (.f32 v 4))) (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (/.f32 v 2))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) 1/2)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(/.f32 (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 v v))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v 4)) (.f32 v (.f32 v 4)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 (.f32 v v) (.f32 v v))) (.f32 (/.f32 1 (*.f32 v v)) (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v (.f32 v v))) (/.f32 1 (*.f32 v v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
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(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v (.f32 v v))) (*.f32 (/.f32 1 v) (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) (.f32 v (.f32 v v))) (.f32 (/.f32 2 (*.f32 v v)) (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v)) (/.f32 2 v)) (*.f32 (/.f32 2 v) (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) (+.f32 v v)) (/.f32 (/.f32 1/2 v) v))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (*.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (+.f32 v v)) (/.f32 v 2))
(/.f32 (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 (+.f32 v v) (/.f32 v 2)))
(/.f32 (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 v (/.f32 (+.f32 v v) 2)))
(/.f32 (/.f32 (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (+.f32 v v)) (/.f32 (.f32 v v) (+.f32 v v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1 v)) (*.f32 v v))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (/.f32 1 v)) (.f32 v (+.f32 v v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) (/.f32 1 v)) (+.f32 v v))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (/.f32 1 v)) (.f32 v (*.f32 v 4)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (neg.f32 v)) (/.f32 1 v)) (neg.f32 v))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (fabs.f32 v)) (/.f32 1 v)) (fabs.f32 v))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (/.f32 (*.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) v) (/.f32 1 v)) 4)
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (/.f32 1 v)) (.f32 v 4))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 1 v)) (.f32 2 (.f32 v (*.f32 v 4))))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v)) (.f32 v (.f32 v v))) (/.f32 1 v)) (/.f32 2 (.f32 v v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v 4)) v) (*.f32 v 4))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (+.f32 v v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 v (+.f32 v v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (*.f32 (+.f32 v v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (+.f32 v v))
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (+.f32 v v) v)) (+.f32 v v))
(/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 2 (/.f32 v v))) (+.f32 v v))
(/.f32 (/.f32 (*.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (neg.f32 v)) (neg.f32 v))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (/.f32 (*.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (fabs.f32 v)) (fabs.f32 v))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (+.f32 (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) (*.f32 v (+.f32 v v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (+.f32 (.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))) 8)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(/.f32 (.f32 (+.f32 v v) (.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))) (*.f32 4 (+.f32 v v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 v (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (*.f32 v (+.f32 v v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (+.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 (.f32 v 4) (+.f32 v v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (.f32 v 4) (.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))) (.f32 4 (*.f32 v 4)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (.f32 v 4) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 (.f32 v 4) (.f32 v 4)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 4 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 (.f32 v 4) 4))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(/.f32 (.f32 (neg.f32 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (*.f32 (+.f32 v v) (neg.f32 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (neg.f32 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 2 v))) (*.f32 -2 v))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (neg.f32 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 (.f32 v 4) (neg.f32 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (/.f32 1 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) 4)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(/.f32 (.f32 (/.f32 1 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (.f32 (.f32 v 4) (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (neg.f32 v) (.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))) (*.f32 4 (neg.f32 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (neg.f32 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 v (neg.f32 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 v v))) (*.f32 (/.f32 1 v) (neg.f32 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (*.f32 (neg.f32 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (neg.f32 v))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 v (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) (.f32 (.f32 v v) v))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (+.f32 v v) (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) (.f32 (.f32 v v) (+.f32 v v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (neg.f32 v) (.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) (.f32 (.f32 v v) (neg.f32 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4) (.f32 v 4)) (.f32 (.f32 v 4) (.f32 v 4)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 (/.f32 1 v)))
(+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (/.f32 0 v))
(/.f32 (.f32 (.f32 v 4) (/.f32 (*.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) v)) 16)
(/.f32 (.f32 (.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (/.f32 (*.f32 v 4) v)) 16)
(/.f32 (/.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 16) (/.f32 v v)) 16)
(/.f32 (.f32 (/.f32 (.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) v) (*.f32 v 4)) 16)
(/.f32 (.f32 (.f32 4 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (/.f32 (*.f32 v 4) v)) 16)
(/.f32 (/.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 16) (/.f32 v v)) 16)
(/.f32 (.f32 (/.f32 2 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) 4)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)

localize185.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)))
✓	0.2b	(/.f32 (*.f32 v 1/2) (/.f32 2 v))
✓	0.4b	(.f32 (/.f32 2 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v v)))
	13.3b	(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v))

Compiler

Compiled 120 to 69 computations (42.5% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	sinTheta_i	@	inf	(.f32 (/.f32 2 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v v)))
1.0ms	sinTheta_O	@	inf	(.f32 (/.f32 2 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v v)))
1.0ms	v	@	0	(.f32 (/.f32 2 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v v)))
1.0ms	sinTheta_O	@	-inf	(.f32 (/.f32 2 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v v)))
1.0ms	sinTheta_i	@	-inf	(.f32 (/.f32 2 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v v)))

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`rational_best-simplify-67`
840×	`rational_best-simplify-55`
748×	`rational_best-simplify-78`
668×	`rational_best-4`
668×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	72
1	155	66
2	408	66
3	1642	66

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

Inputs
(.f32 (/.f32 2 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v v)))
(/.f32 (*.f32 v 1/2) (/.f32 2 v))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 v (/.f32 4 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 v (/.f32 4 v)) (neg.f32 (/.f32 0 (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 8 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 0 (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 2 v)) (/.f32 0 (/.f32 8 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 0 (/.f32 8 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 v (/.f32 4 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 (/.f32 2 v)) (/.f32 v (/.f32 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*.f32 (/.f32 v (/.f32 4 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 v (/.f32 4 v)) (/.f32 1 (/.f32 (/.f32 2 v) (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 v (/.f32 4 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 v v) (/.f32 1 (/.f32 8 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 v (/.f32 2 v)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 v (/.f32 2 v)) (/.f32 1 (/.f32 (/.f32 4 v) (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 v 4) (/.f32 1 (/.f32 16 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 4 v)) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 2 v)) (*.f32 v 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 8 v)) (+.f32 v v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 v (/.f32 2 v))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 v (/.f32 2 v))) (/.f32 1 (/.f32 (/.f32 8 v) (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 v (/.f32 4 v)) (/.f32 2 v)) (/.f32 1 (/.f32 1 (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 v (/.f32 2 v)) (/.f32 2 v)) (/.f32 1 (/.f32 2 (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 v (/.f32 4 v)) 1)))))

simplify214.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1360×	`rational_best-simplify-54`
1344×	`rational_best-simplify-50`
1102×	`rational_best-simplify-64`
1066×	`rational_best-simplify-1`
938×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	7202
1	998	6880
2	3689	6416

Stop Event

1×	node limit

Counts

168 → 170

Calls

Call 1

Inputs
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(*.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))
(+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (.f32 -2 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 4))))
(+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 5)) (.f32 -2 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 4)))))
(+.f32 (.f32 -1/3 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3) (exp.f32 6931/10000)) (pow.f32 v 6))) (+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 5)) (.f32 -2 (/.f32 (.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 4))))))
(*.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))
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(+.f32 (.f32 -1/3 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3) (exp.f32 6931/10000)) (pow.f32 v 6))) (+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 5)) (.f32 -2 (/.f32 (.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 4))))))
(*.f32 2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 3)))
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(+.f32 (.f32 -2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (.f32 2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 3))) (+.f32 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 5)) (.f32 -1/3 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (*.f32 (pow.f32 sinTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 6))))))
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(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(*.f32 2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 3)))
(+.f32 (.f32 -2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (.f32 2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 3))))
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(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(*.f32 1/4 (pow.f32 v 2))
(*.f32 1/4 (pow.f32 v 2))
(*.f32 1/4 (pow.f32 v 2))
(*.f32 1/4 (pow.f32 v 2))
(*.f32 1/4 (pow.f32 v 2))
(*.f32 1/4 (pow.f32 v 2))
(*.f32 1/4 (pow.f32 v 2))
(*.f32 1/4 (pow.f32 v 2))
(*.f32 1/4 (pow.f32 v 2))
(*.f32 1/4 (pow.f32 v 2))
(*.f32 1/4 (pow.f32 v 2))
(*.f32 1/4 (pow.f32 v 2))
(+.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v (.f32 v v)))) 0)
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(-.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v (.f32 v v)))) (/.f32 0 (*.f32 v v)))
(-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v (.f32 v v))) (/.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v v))) v))
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(-.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v (.f32 v v))) (/.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) v)) (*.f32 v v)))
(-.f32 (/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 3) (.f32 2 (.f32 v v))) v) (/.f32 (/.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)))) (.f32 2 (*.f32 v v))) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 (.f32 v (*.f32 v v)) 2))
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(/.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v (.f32 v v)))) 1)
(/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 (/.f32 4 v) (*.f32 v v))) 2)
(/.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v v))) v)
(/.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) v)) (*.f32 v v))
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(/.f32 (.f32 -2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v v))) (neg.f32 v))
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(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4) v) (.f32 2 (.f32 v v)))
(/.f32 (.f32 2 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4)) (.f32 v (.f32 v (.f32 v 4))))
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4) (*.f32 v v)) (+.f32 v v))
(/.f32 (.f32 (.f32 2 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 4 v)) (.f32 v (*.f32 v 4)))
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(/.f32 (.f32 2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4) (.f32 v v))) (*.f32 v 4))
(/.f32 (.f32 4 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4) (.f32 v v))) (*.f32 (+.f32 v v) 4))
(/.f32 (.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4) (.f32 v v)) (/.f32 8 v)) 16)
(/.f32 (.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4) v) 8) (.f32 (.f32 v 4) (.f32 v 4)))
(/.f32 (.f32 8 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4) v)) (.f32 (.f32 v 4) (.f32 v 4)))
(/.f32 (.f32 (/.f32 8 v) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4) (.f32 v v))) 16)
(/.f32 (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4) (/.f32 8 v)) (.f32 (.f32 v 4) (.f32 v 4)))
(/.f32 (.f32 4 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) v) 1/2)) (.f32 v (.f32 v 4)))
(/.f32 (.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) v) 1/2) 4) (.f32 v (.f32 v 4)))
(/.f32 (.f32 (.f32 2 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 (/.f32 2 v) 1/2)) (.f32 v (*.f32 v 4)))
(/.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 1/2) (/.f32 4 v)) (.f32 v (.f32 v 4)))
(/.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 1/2) (/.f32 (/.f32 2 v) 1/2)) (.f32 v (.f32 v 4)))
(/.f32 (.f32 (/.f32 4 v) (.f32 2 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))))) (.f32 v (*.f32 v 4)))
(/.f32 (.f32 (/.f32 4 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 1/2)) (.f32 v (.f32 v 4)))
(/.f32 (.f32 (/.f32 (/.f32 4 v) v) (.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) v))) 4)
(/.f32 (.f32 (/.f32 8 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4)) (.f32 (.f32 v 4) (.f32 v 4)))
(/.f32 (.f32 (/.f32 (/.f32 2 v) 1/2) (.f32 2 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))))) (.f32 v (*.f32 v 4)))
(/.f32 (.f32 (/.f32 (/.f32 2 v) 1/2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 1/2)) (.f32 v (.f32 v 4)))
(/.f32 (.f32 (/.f32 2 (.f32 v (.f32 v v))) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))) 4)) 4)
(pow.f32 (.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v (.f32 v v)))) 1)
(+.f32 (/.f32 v (/.f32 4 v)) 0)
(+.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 2 v)))
(+.f32 (/.f32 v (/.f32 4 v)) (neg.f32 (/.f32 0 (/.f32 2 v))))
(+.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 8 v)))
(+.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) 0))
(+.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 0 (/.f32 2 v))))
(+.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 2 v)) (/.f32 0 (/.f32 8 v))))
(+.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 0 (/.f32 8 v))))
(+.f32 0 (/.f32 v (/.f32 4 v)))
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(+.f32 (/.f32 v (/.f32 8 v)) (/.f32 v (/.f32 8 v)))
(+.f32 (/.f32 v (/.f32 8 v)) (+.f32 (/.f32 v (/.f32 8 v)) (/.f32 0 (/.f32 8 v))))
(+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 v (/.f32 4 v)))
(-.f32 (/.f32 v (/.f32 4 v)) 0)
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 2 v)))
(-.f32 (/.f32 v (/.f32 4 v)) (neg.f32 (/.f32 0 (/.f32 2 v))))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 8 v)))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) 0))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 0 (/.f32 2 v))))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 2 v)) (/.f32 0 (/.f32 8 v))))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 0 (/.f32 8 v))))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 2 v)) (neg.f32 (/.f32 0 (/.f32 2 v)))))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (neg.f32 (/.f32 0 (/.f32 2 v))) 0))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (neg.f32 (/.f32 0 (/.f32 2 v))) (/.f32 0 (/.f32 2 v))))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (neg.f32 (/.f32 0 (/.f32 2 v))) (neg.f32 (/.f32 0 (/.f32 2 v)))))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (neg.f32 (/.f32 0 (/.f32 2 v))) (/.f32 0 (/.f32 8 v))))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (neg.f32 (/.f32 0 (/.f32 2 v)))))
(-.f32 (/.f32 v (/.f32 4 v)) (neg.f32 (/.f32 0 (/.f32 8 v))))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 (/.f32 2 v) (/.f32 2 v))))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 (/.f32 0 (/.f32 2 v)) (/.f32 (/.f32 2 v) (/.f32 2 v))))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 (neg.f32 (/.f32 0 (/.f32 2 v))) (/.f32 (/.f32 2 v) (/.f32 2 v))))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 (/.f32 0 (/.f32 8 v)) (/.f32 (/.f32 2 v) (/.f32 2 v))))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 (/.f32 4 v) (/.f32 2 v))))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 16 v)))
(-.f32 0 (-.f32 (/.f32 0 (/.f32 2 v)) (/.f32 v (/.f32 4 v))))
(-.f32 (/.f32 0 (/.f32 2 v)) (neg.f32 (/.f32 v (/.f32 4 v))))
(-.f32 (/.f32 v (/.f32 8 v)) (/.f32 (neg.f32 v) (/.f32 8 v)))
(-.f32 (/.f32 v (/.f32 8 v)) (neg.f32 (/.f32 v (/.f32 8 v))))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (/.f32 0 (/.f32 2 v)) (/.f32 (neg.f32 v) (/.f32 8 v))))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (neg.f32 (/.f32 0 (/.f32 2 v))) (/.f32 (neg.f32 v) (/.f32 8 v))))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (neg.f32 (/.f32 v (/.f32 8 v)))))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 (neg.f32 v) (/.f32 8 v))))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (neg.f32 (/.f32 v (/.f32 8 v))) (/.f32 0 (/.f32 2 v))))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (/.f32 (neg.f32 v) (/.f32 8 v)) 0))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (/.f32 (neg.f32 v) (/.f32 8 v)) (/.f32 0 (/.f32 2 v))))
(-.f32 (/.f32 v (/.f32 8 v)) (/.f32 (/.f32 (/.f32 v -2) 2) (/.f32 2 v)))
(-.f32 (/.f32 v (/.f32 8 v)) (/.f32 (neg.f32 (/.f32 v (/.f32 4 v))) 2))
(-.f32 (/.f32 v (/.f32 8 v)) (/.f32 (*.f32 -2 v) (/.f32 16 v)))
(-.f32 (/.f32 (/.f32 v (/.f32 8 v)) (/.f32 (/.f32 2 v) (/.f32 2 v))) (/.f32 (neg.f32 (/.f32 v (/.f32 8 v))) (/.f32 (/.f32 2 v) (/.f32 2 v))))
(-.f32 (/.f32 (/.f32 v (/.f32 8 v)) (/.f32 (/.f32 2 v) (/.f32 2 v))) (/.f32 (/.f32 (neg.f32 v) (/.f32 8 v)) (/.f32 (/.f32 2 v) (/.f32 2 v))))
(-.f32 (/.f32 (.f32 v 1/2) (/.f32 8 v)) (/.f32 (-.f32 0 (.f32 v 3/2)) (/.f32 8 v)))
(-.f32 (/.f32 (*.f32 v 3/2) (/.f32 8 v)) (/.f32 (/.f32 v -2) (/.f32 8 v)))
(-.f32 (/.f32 (/.f32 (*.f32 v 3/2) (/.f32 4 v)) 2) (/.f32 (neg.f32 (/.f32 v (/.f32 8 v))) 2))
(-.f32 (/.f32 (/.f32 v (/.f32 4 v)) (/.f32 (/.f32 4 v) (/.f32 2 v))) (/.f32 (neg.f32 (/.f32 v (/.f32 4 v))) (/.f32 (/.f32 4 v) (/.f32 2 v))))
(-.f32 (/.f32 (/.f32 (*.f32 v 3/2) (/.f32 4 v)) (/.f32 (/.f32 4 v) (/.f32 2 v))) (/.f32 (neg.f32 (/.f32 v (/.f32 8 v))) (/.f32 (/.f32 4 v) (/.f32 2 v))))
(-.f32 (/.f32 (*.f32 v 3) (/.f32 16 v)) (/.f32 (neg.f32 v) (/.f32 16 v)))
(*.f32 v (/.f32 1 (/.f32 4 v)))
(*.f32 1/2 (/.f32 v (/.f32 2 v)))
(.f32 (.f32 v 1/2) (/.f32 1 (/.f32 2 v)))
(*.f32 (/.f32 v (/.f32 4 v)) 1)
(*.f32 (/.f32 v (/.f32 4 v)) (/.f32 1 (/.f32 (/.f32 2 v) (/.f32 2 v))))
(*.f32 1 (/.f32 v (/.f32 4 v)))
(*.f32 (+.f32 v v) (/.f32 1 (/.f32 8 v)))
(*.f32 (/.f32 v (/.f32 2 v)) 1/2)
(*.f32 (/.f32 v (/.f32 2 v)) (/.f32 1 (/.f32 (/.f32 4 v) (/.f32 2 v))))
(.f32 (.f32 v 4) (/.f32 1 (/.f32 16 v)))
(*.f32 (/.f32 1 (/.f32 4 v)) v)
(.f32 (/.f32 1 (/.f32 2 v)) (.f32 v 1/2))
(*.f32 (/.f32 1 (/.f32 8 v)) (+.f32 v v))
(.f32 (.f32 2 (/.f32 v (/.f32 2 v))) 1/4)
(.f32 (.f32 2 (/.f32 v (/.f32 2 v))) (/.f32 1 (/.f32 (/.f32 8 v) (/.f32 2 v))))
(*.f32 (/.f32 (/.f32 v (/.f32 4 v)) (/.f32 2 v)) (/.f32 1 (/.f32 1 (/.f32 2 v))))
(*.f32 (/.f32 (/.f32 v (/.f32 2 v)) (/.f32 2 v)) (/.f32 1 (/.f32 2 (/.f32 2 v))))
(pow.f32 (/.f32 v (/.f32 4 v)) 1)

Outputs
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 2 (pow.f32 v 3)))
(.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 2 (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 2 (pow.f32 v 3)))
(.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 2 (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 2 (pow.f32 v 3)))
(.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 2 (pow.f32 v 3)))
(.f32 2 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 v 3)))
(.f32 (exp.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 2 (pow.f32 v 3)))
(.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 2 (pow.f32 v 3)))
(*.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))
(*.f32 (exp.f32 6931/10000) (/.f32 2 (pow.f32 v 3)))
(+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (.f32 -2 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 4))))
(+.f32 (.f32 (exp.f32 6931/10000) (/.f32 2 (pow.f32 v 3))) (.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (/.f32 -2 (pow.f32 v 4))))
(+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (/.f32 -2 (pow.f32 v 4))))
(+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 5)) (.f32 -2 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 4)))))
(+.f32 (.f32 (exp.f32 6931/10000) (/.f32 2 (pow.f32 v 3))) (+.f32 (.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (/.f32 -2 (pow.f32 v 4))) (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2)) (pow.f32 v 5))))
(+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 -2 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 4))) (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2)) (pow.f32 v 5))))
(+.f32 (+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (/.f32 -2 (pow.f32 v 4)))) (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2)) (pow.f32 v 5)))
(+.f32 (.f32 -1/3 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3) (exp.f32 6931/10000)) (pow.f32 v 6))) (+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 5)) (.f32 -2 (/.f32 (.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 4))))))
(+.f32 (+.f32 (.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (/.f32 -2 (pow.f32 v 4))) (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2)) (pow.f32 v 5))) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 2 (pow.f32 v 3))) (.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) 3)) (/.f32 -1/3 (pow.f32 v 6)))))
(+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (+.f32 (.f32 -2 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 4))) (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2)) (pow.f32 v 5))) (.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) 3)) (/.f32 -1/3 (pow.f32 v 6)))))
(+.f32 (.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (/.f32 -2 (pow.f32 v 4))) (+.f32 (+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2)) (pow.f32 v 5))) (.f32 (exp.f32 6931/10000) (.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) 3) (/.f32 -1/3 (pow.f32 v 6))))))
(*.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))
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(+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 -2 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 4))) (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2)) (pow.f32 v 5))))
(+.f32 (+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (/.f32 -2 (pow.f32 v 4)))) (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2)) (pow.f32 v 5)))
(+.f32 (.f32 -1/3 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3) (exp.f32 6931/10000)) (pow.f32 v 6))) (+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 5)) (.f32 -2 (/.f32 (.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 4))))))
(+.f32 (+.f32 (.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (/.f32 -2 (pow.f32 v 4))) (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2)) (pow.f32 v 5))) (+.f32 (.f32 (exp.f32 6931/10000) (/.f32 2 (pow.f32 v 3))) (.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) 3)) (/.f32 -1/3 (pow.f32 v 6)))))
(+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (+.f32 (.f32 -2 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (pow.f32 v 4))) (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2)) (pow.f32 v 5))) (.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) 3)) (/.f32 -1/3 (pow.f32 v 6)))))
(+.f32 (.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) (/.f32 -2 (pow.f32 v 4))) (+.f32 (+.f32 (.f32 2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2)) (pow.f32 v 5))) (.f32 (exp.f32 6931/10000) (.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) 3) (/.f32 -1/3 (pow.f32 v 6))))))
(*.f32 2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 v 3)))
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(/.f32 v (/.f32 4 v))
(+.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) 0))
(/.f32 v (/.f32 4 v))
(+.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 0 (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(+.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 2 v)) (/.f32 0 (/.f32 8 v))))
(/.f32 v (/.f32 4 v))
(+.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 0 (/.f32 8 v))))
(/.f32 v (/.f32 4 v))
(+.f32 0 (/.f32 v (/.f32 4 v)))
(/.f32 v (/.f32 4 v))
(+.f32 (/.f32 0 (/.f32 2 v)) (/.f32 v (/.f32 4 v)))
(/.f32 v (/.f32 4 v))
(+.f32 (/.f32 v (/.f32 8 v)) (/.f32 v (/.f32 8 v)))
(/.f32 v (/.f32 4 v))
(+.f32 (/.f32 v (/.f32 8 v)) (+.f32 (/.f32 v (/.f32 8 v)) (/.f32 0 (/.f32 8 v))))
(/.f32 v (/.f32 4 v))
(+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 v (/.f32 4 v)))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) 0)
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 2 v)))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (neg.f32 (/.f32 0 (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 8 v)))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) 0))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 0 (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 2 v)) (/.f32 0 (/.f32 8 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 0 (/.f32 8 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 2 v)) (neg.f32 (/.f32 0 (/.f32 2 v)))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (neg.f32 (/.f32 0 (/.f32 2 v))) 0))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (neg.f32 (/.f32 0 (/.f32 2 v))) (/.f32 0 (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (neg.f32 (/.f32 0 (/.f32 2 v))) (neg.f32 (/.f32 0 (/.f32 2 v)))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (neg.f32 (/.f32 0 (/.f32 2 v))) (/.f32 0 (/.f32 8 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (neg.f32 (/.f32 0 (/.f32 2 v)))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (neg.f32 (/.f32 0 (/.f32 8 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 (/.f32 2 v) (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 (/.f32 0 (/.f32 2 v)) (/.f32 (/.f32 2 v) (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 (neg.f32 (/.f32 0 (/.f32 2 v))) (/.f32 (/.f32 2 v) (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 (/.f32 0 (/.f32 8 v)) (/.f32 (/.f32 2 v) (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 (/.f32 4 v) (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 4 v)) (/.f32 0 (/.f32 16 v)))
(/.f32 v (/.f32 4 v))
(-.f32 0 (-.f32 (/.f32 0 (/.f32 2 v)) (/.f32 v (/.f32 4 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 0 (/.f32 2 v)) (neg.f32 (/.f32 v (/.f32 4 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 8 v)) (/.f32 (neg.f32 v) (/.f32 8 v)))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 8 v)) (neg.f32 (/.f32 v (/.f32 8 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (/.f32 0 (/.f32 2 v)) (/.f32 (neg.f32 v) (/.f32 8 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (neg.f32 (/.f32 0 (/.f32 2 v))) (/.f32 (neg.f32 v) (/.f32 8 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (neg.f32 (/.f32 v (/.f32 8 v)))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (/.f32 0 (/.f32 8 v)) (/.f32 (neg.f32 v) (/.f32 8 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (neg.f32 (/.f32 v (/.f32 8 v))) (/.f32 0 (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (/.f32 (neg.f32 v) (/.f32 8 v)) 0))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 8 v)) (+.f32 (/.f32 (neg.f32 v) (/.f32 8 v)) (/.f32 0 (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 8 v)) (/.f32 (/.f32 (/.f32 v -2) 2) (/.f32 2 v)))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 8 v)) (/.f32 (neg.f32 (/.f32 v (/.f32 4 v))) 2))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 v (/.f32 8 v)) (/.f32 (*.f32 -2 v) (/.f32 16 v)))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 (/.f32 v (/.f32 8 v)) (/.f32 (/.f32 2 v) (/.f32 2 v))) (/.f32 (neg.f32 (/.f32 v (/.f32 8 v))) (/.f32 (/.f32 2 v) (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 (/.f32 v (/.f32 8 v)) (/.f32 (/.f32 2 v) (/.f32 2 v))) (/.f32 (/.f32 (neg.f32 v) (/.f32 8 v)) (/.f32 (/.f32 2 v) (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 (.f32 v 1/2) (/.f32 8 v)) (/.f32 (-.f32 0 (.f32 v 3/2)) (/.f32 8 v)))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 (*.f32 v 3/2) (/.f32 8 v)) (/.f32 (/.f32 v -2) (/.f32 8 v)))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 (/.f32 (*.f32 v 3/2) (/.f32 4 v)) 2) (/.f32 (neg.f32 (/.f32 v (/.f32 8 v))) 2))
(/.f32 (-.f32 (/.f32 (*.f32 v 3/2) (/.f32 4 v)) (neg.f32 (/.f32 v (/.f32 8 v)))) 2)
(-.f32 (/.f32 (.f32 v 3/2) (.f32 4 (/.f32 2 v))) (/.f32 (neg.f32 v) (/.f32 16 v)))
(-.f32 (/.f32 (/.f32 (*.f32 v 3) 4) (/.f32 4 v)) (/.f32 (neg.f32 v) (/.f32 16 v)))
(-.f32 (/.f32 (/.f32 v (/.f32 4 v)) (/.f32 (/.f32 4 v) (/.f32 2 v))) (/.f32 (neg.f32 (/.f32 v (/.f32 4 v))) (/.f32 (/.f32 4 v) (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(-.f32 (/.f32 (/.f32 (*.f32 v 3/2) (/.f32 4 v)) (/.f32 (/.f32 4 v) (/.f32 2 v))) (/.f32 (neg.f32 (/.f32 v (/.f32 8 v))) (/.f32 (/.f32 4 v) (/.f32 2 v))))
(/.f32 (-.f32 (/.f32 (*.f32 v 3/2) (/.f32 4 v)) (neg.f32 (/.f32 v (/.f32 8 v)))) (-.f32 2 (/.f32 0 v)))
(/.f32 (-.f32 (/.f32 (*.f32 v 3) (/.f32 4 v)) (neg.f32 (/.f32 v (/.f32 4 v)))) (-.f32 4 (/.f32 0 v)))
(/.f32 (-.f32 (/.f32 v (/.f32 8 v)) (neg.f32 (/.f32 (*.f32 v 3/2) (/.f32 4 v)))) (-.f32 2 (/.f32 0 v)))
(-.f32 (/.f32 (*.f32 v 3) (/.f32 16 v)) (/.f32 (neg.f32 v) (/.f32 16 v)))
(/.f32 v (/.f32 4 v))
(*.f32 v (/.f32 1 (/.f32 4 v)))
(/.f32 v (/.f32 4 v))
(*.f32 1/2 (/.f32 v (/.f32 2 v)))
(/.f32 v (/.f32 4 v))
(.f32 (.f32 v 1/2) (/.f32 1 (/.f32 2 v)))
(/.f32 v (/.f32 4 v))
(*.f32 (/.f32 v (/.f32 4 v)) 1)
(/.f32 v (/.f32 4 v))
(*.f32 (/.f32 v (/.f32 4 v)) (/.f32 1 (/.f32 (/.f32 2 v) (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(*.f32 1 (/.f32 v (/.f32 4 v)))
(/.f32 v (/.f32 4 v))
(*.f32 (+.f32 v v) (/.f32 1 (/.f32 8 v)))
(/.f32 v (/.f32 4 v))
(*.f32 (/.f32 v (/.f32 2 v)) 1/2)
(/.f32 v (/.f32 4 v))
(*.f32 (/.f32 v (/.f32 2 v)) (/.f32 1 (/.f32 (/.f32 4 v) (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(.f32 (.f32 v 4) (/.f32 1 (/.f32 16 v)))
(/.f32 v (/.f32 4 v))
(*.f32 (/.f32 1 (/.f32 4 v)) v)
(/.f32 v (/.f32 4 v))
(.f32 (/.f32 1 (/.f32 2 v)) (.f32 v 1/2))
(/.f32 v (/.f32 4 v))
(*.f32 (/.f32 1 (/.f32 8 v)) (+.f32 v v))
(/.f32 v (/.f32 4 v))
(.f32 (.f32 2 (/.f32 v (/.f32 2 v))) 1/4)
(/.f32 v (/.f32 4 v))
(.f32 (.f32 2 (/.f32 v (/.f32 2 v))) (/.f32 1 (/.f32 (/.f32 8 v) (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(*.f32 (/.f32 (/.f32 v (/.f32 4 v)) (/.f32 2 v)) (/.f32 1 (/.f32 1 (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(*.f32 (/.f32 (/.f32 v (/.f32 2 v)) (/.f32 2 v)) (/.f32 1 (/.f32 2 (/.f32 2 v))))
(/.f32 v (/.f32 4 v))
(pow.f32 (/.f32 v (/.f32 4 v)) 1)
(/.f32 v (/.f32 4 v))

localize218.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)
	0.1b	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
	0.1b	(exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000))
	0.5b	(*.f32 v (/.f32 2 v))

Compiler

Compiled 243 to 129 computations (46.9% saved)

eval1.2s (5.8%)

Compiler: Compiled 47207 to 32009 computations (32.2% saved)

prune494.0ms (2.4%)

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	1497	13	1510
Fresh	1	13	14
Picked	1	0	1
Done	1	4	5
Total	1500	30	1530

Error

0.0b

Counts

1530 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(/.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v v)) (/.f32 2 v))
	13.8b	(/.f32 (/.f32 (.f32 (.f32 (/.f32 1 v) (exp.f32 6931/10000)) (/.f32 (exp.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 1 v))) (.f32 v v)) (/.f32 2 v))
	13.9b	(/.f32 (.f32 (/.f32 v 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (.f32 v (/.f32 v 2)))
	25.1b	(/.f32 (.f32 (.f32 (.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4)) (/.f32 (/.f32 1 (.f32 v (.f32 v 4))) (.f32 v v))) (/.f32 2 v))
	13.1b	(/.f32 (.f32 (.f32 (.f32 v 4) 4) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 4)) (.f32 (.f32 (.f32 v 4) 4) (.f32 (.f32 v 4) 4)))
✓	30.5b	(/.f32 1/2 v)
	31.0b	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 v v))) (/.f32 -1/2 v))
	30.6b	(+.f32 (-.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v) (/.f32 1/4 v)) (neg.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2))) (*.f32 v 4))))
	20.5b	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1/2 v))
	30.6b	(.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) -1)) (/.f32 1/2 v))
✓	30.6b	(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
	13.8b	(.f32 (.f32 (/.f32 2 v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 v v))) (/.f32 (.f32 v 1/2) (/.f32 2 v)))
	13.8b	(.f32 (.f32 (/.f32 2 v) (.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (.f32 v v)) (/.f32 1 (/.f32 1 (.f32 v v))))) (/.f32 (.f32 v 1/2) (/.f32 2 v)))
	16.0b	(.f32 (.f32 (/.f32 2 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 (/.f32 1 v) v))) (/.f32 (*.f32 v 1/2) (/.f32 2 v)))
	0.3b	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
	0.2b	(.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) (.f32 (log.f32 (/.f32 1/2 v)) 2))) 4) 6931/20000)) (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2))))
	0.2b	(.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)))
	0.2b	(.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (+.f32 (log.f32 1/2) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)))))))
	0.2b	(*.f32 1/2 (/.f32 (/.f32 1 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))) v))
	0.8b	(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
	16.0b	(.f32 1/2 (.f32 (/.f32 (/.f32 1 v) v) (*.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
✓	13.8b	(.f32 1/2 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) v))
	0.5b	(.f32 1/2 (.f32 (/.f32 2 v) (.f32 v (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)))))
	0.5b	(.f32 1/2 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v)))))
✓	0.1b	(.f32 1/2 (.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 4) (.f32 v (/.f32 1/4 v))))
	13.8b	(.f32 1/2 (.f32 (.f32 (/.f32 v 2) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) (/.f32 2 v))) v))
	0.5b	(.f32 1/2 (.f32 (.f32 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) 4) (.f32 v (/.f32 1/4 v))))
	25.1b	(.f32 1/2 (.f32 (.f32 (.f32 (.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 (/.f32 1 (.f32 v (.f32 v 4))) (*.f32 v v))) v))
	23.6b	(.f32 1/2 (.f32 (.f32 (.f32 v v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 (.f32 v v) (*.f32 v v)))) v))
	0.2b	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) 1) v)))

Compiler

Compiled 813 to 617 computations (24.1% saved)

regimes219.0ms (1%)

Counts

59 → 1

Calls

Call 1

Inputs
(/.f32 1/2 v)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1/2 v))
(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 v v))) (/.f32 -1/2 v))
(/.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v v)) (/.f32 2 v))
(.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) -1)) (/.f32 1/2 v))
(+.f32 (-.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v) (/.f32 1/4 v)) (neg.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2))) (*.f32 v 4))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (/.f32 1 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))) v))
(.f32 1/2 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) v))
(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (.f32 (/.f32 (/.f32 1 v) v) (*.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(.f32 (/.f32 1 (exp.f32 (-.f32 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v) 6931/10000))) (/.f32 1/2 v))
(.f32 1/2 (.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 4) (.f32 v (/.f32 1/4 v))))
(.f32 1/2 (.f32 (/.f32 2 v) (.f32 v (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)))))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v))
(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) (/.f32 1/2 v))
(/.f32 (.f32 (/.f32 v 2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) (.f32 v (/.f32 v 2)))
(/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (/.f32 2 v))
(.f32 1/2 (.f32 (.f32 (.f32 v v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 (.f32 v v) (*.f32 v v)))) v))
(.f32 1/2 (.f32 (.f32 (/.f32 v 2) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) (/.f32 2 v))) v))
(.f32 1/2 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v)))
(.f32 1/2 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) (*.f32 v v)) v))
(.f32 (.f32 (/.f32 2 v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 v v))) (/.f32 (.f32 v 1/2) (/.f32 2 v)))
(.f32 1/2 (.f32 (/.f32 (/.f32 1 v) v) (.f32 v (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)))))
(.f32 1/2 (.f32 (.f32 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) 4) (.f32 v (/.f32 1/4 v))))
(.f32 1/2 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)))
(.f32 (.f32 (/.f32 2 v) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v))) (/.f32 (*.f32 v 1/2) (/.f32 2 v)))
(.f32 1/2 (.f32 (.f32 (.f32 (.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 4)) (/.f32 (/.f32 1 (.f32 v (.f32 v 4))) (*.f32 v v))) v))
(.f32 (.f32 (/.f32 2 v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 (/.f32 1 v) v))) (/.f32 (*.f32 v 1/2) (/.f32 2 v)))
(/.f32 (.f32 (.f32 (.f32 v 4) 4) (.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) 4)) (.f32 (.f32 (.f32 v 4) 4) (.f32 (.f32 v 4) 4)))
(.f32 1/2 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v))))
(/.f32 (.f32 (.f32 (.f32 v v) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) 4)) (/.f32 (/.f32 1 (.f32 v (.f32 v 4))) (.f32 v v))) (/.f32 2 v))
(.f32 1/2 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v))))
(.f32 1/2 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) v)))))
(.f32 (.f32 (/.f32 2 v) (.f32 (/.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) (.f32 v v)) (/.f32 1 (/.f32 1 (.f32 v v))))) (/.f32 (.f32 v 1/2) (/.f32 2 v)))
(.f32 1/2 (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (.f32 (+.f32 (.f32 v (/.f32 2 v)) -1) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v) 6931/10000)) v)))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) 1) v)))
(.f32 (.f32 (exp.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 6931/10000)) (/.f32 1/2 v))
(.f32 (.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) (exp.f32 6931/10000)) (/.f32 1/2 v))
(exp.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1/2 v))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(/.f32 (/.f32 (.f32 (.f32 (/.f32 1 v) (exp.f32 6931/10000)) (/.f32 (exp.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 1 v))) (.f32 v v)) (/.f32 2 v))
(.f32 (.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v)))) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) (+.f32 v v)))) (/.f32 1/2 v))
(.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)))
(.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 2))))
(.f32 (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2))) (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) -1) v)) 2))))
(.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 (-.f32 -1 (.f32 sinTheta_i sinTheta_O)) v) (.f32 (log.f32 (/.f32 1/2 v)) 2))) 4) 6931/20000)) (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2))))
(.f32 (exp.f32 (+.f32 6931/20000 (/.f32 (-.f32 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v) (neg.f32 (+.f32 (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v) (.f32 (log.f32 (/.f32 1/2 v)) 2)))) 4))) (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2))))
(.f32 (exp.f32 (+.f32 (.f32 1/2 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) 6931/20000)) (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (+.f32 (log.f32 1/2) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)))))))
(.f32 (exp.f32 (+.f32 6931/20000 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) -1) v)) 2))) (exp.f32 (+.f32 6931/20000 (.f32 1/2 (+.f32 (neg.f32 (log.f32 v)) (+.f32 (log.f32 1/2) (/.f32 (+.f32 -1 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v)))))))

Outputs
(.f32 1/2 (.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 4) (.f32 v (/.f32 1/4 v))))

Calls

9 calls:

25.0ms	v
25.0ms	sinTheta_i
24.0ms	cosTheta_i
24.0ms	sinTheta_O
24.0ms	cosTheta_O

Results

Error	Segments	Branch
0.1b	1	`cosTheta_i`
0.1b	1	`cosTheta_O`
0.1b	1	`sinTheta_i`
0.1b	1	`sinTheta_O`
0.1b	1	`v`
0.1b	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
0.1b	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))`
0.1b	1	`(*.f32 cosTheta_i cosTheta_O)`
0.1b	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 1448 to 910 computations (37.2% saved)

regimes72.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

Inputs
(/.f32 1/2 v)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1/2 v))
(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 v v))) (/.f32 -1/2 v))
(/.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v v)) (/.f32 2 v))
(.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) -1)) (/.f32 1/2 v))
(+.f32 (-.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v) (/.f32 1/4 v)) (neg.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2))) (*.f32 v 4))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (/.f32 1 (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))) v))
(.f32 1/2 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v v)) v))
(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))
(.f32 1/2 (.f32 (/.f32 (/.f32 1 v) v) (*.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(.f32 (/.f32 1 (exp.f32 (-.f32 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v) 6931/10000))) (/.f32 1/2 v))

Outputs
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))

Calls

7 calls:

11.0ms	sinTheta_O
10.0ms	cosTheta_O
10.0ms	sinTheta_i
10.0ms	cosTheta_i
10.0ms	v

Results

Error	Segments	Branch
0.1b	1	`cosTheta_i`
0.1b	1	`cosTheta_O`
0.1b	1	`sinTheta_i`
0.1b	1	`sinTheta_O`
0.1b	1	`v`
0.1b	1	`(*.f32 cosTheta_i cosTheta_O)`
0.1b	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 303 to 192 computations (36.6% saved)

regimes38.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(/.f32 1/2 v)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1/2 v))
(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 v v))) (/.f32 -1/2 v))
(/.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v v)) (/.f32 2 v))
(.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) -1)) (/.f32 1/2 v))
(+.f32 (-.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v) (/.f32 1/4 v)) (neg.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2))) (*.f32 v 4))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))

Outputs
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))

Calls

6 calls:

7.0ms	cosTheta_O
6.0ms	sinTheta_i
6.0ms	v
6.0ms	sinTheta_O
5.0ms	cosTheta_i

Results

Error	Segments	Branch
0.8b	1	`cosTheta_i`
0.8b	1	`cosTheta_O`
0.8b	1	`sinTheta_i`
0.8b	1	`sinTheta_O`
0.8b	1	`v`
0.8b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 161 to 102 computations (36.6% saved)

regimes36.0ms (0.2%)

Accuracy

Total -10.6b remaining (-51.8%)

Threshold costs -10.6b (-51.8%)

Counts

9 → 1

Calls

Call 1

Inputs
(/.f32 1/2 v)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1/2 v))
(.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1/2 v))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 v v))) (/.f32 -1/2 v))
(/.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v v)) (/.f32 2 v))
(.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2)) (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) -1)) (/.f32 1/2 v))
(+.f32 (-.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) v) (/.f32 1/4 v)) (neg.f32 (/.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v 2))) (*.f32 v 4))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))

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

Calls

6 calls:

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

Results

Error	Segments	Branch
20.5b	1	`cosTheta_i`
20.5b	1	`cosTheta_O`
20.5b	1	`sinTheta_i`
20.5b	1	`sinTheta_O`
20.5b	1	`v`
20.5b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 153 to 96 computations (37.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	137

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 1/2 (.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 4) (.f32 v (/.f32 1/4 v))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1/2 v))
(/.f32 1/2 v)

Outputs
(.f32 1/2 (.f32 (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 4) (.f32 v (/.f32 1/4 v))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1/2 v))
(/.f32 1/2 v)

Compiler

Compiled 73 to 60 computations (17.8% saved)

soundness185.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1364×	`rational_best-simplify-55`
1336×	`rational_best-simplify-50`
1294×	`rational_best-simplify-56`
1070×	`rational_best-simplify-47`
1042×	`rational_best-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	63
1	50	53
2	110	53
3	290	53
4	932	53
5	4065	53
0	375	18000
1	1034	17830
2	3118	16516

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 211 to 128 computations (39.3% saved)

end38.0ms (0.2%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 145 to 116 computations (20% saved)