Details

analyze2.1s (25.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	3%	97%	0
0%	3%	97%	1
0%	3%	97%	2
0%	3%	97%	3
0%	3%	97%	4
0%	3%	97%	5
0%	1.5%	98.5%	6
0%	1.5%	98.5%	7
0%	1.5%	98.5%	8
0%	1.5%	98.5%	9
0%	1.5%	98.5%	10
0.6%	0.9%	98.5%	11
0.6%	0.9%	98.5%	12
0.6%	0.9%	98.5%	13
0.6%	0.9%	98.5%	14

Compiler

Compiled 69 to 51 computations (26.1% saved)

sample3.5s (42.1%)

Results

3.4s	8256×	body	128	valid
76.0ms	144×	body	128	invalid

preprocess56.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

880×	`fma-neg_binary32`
278×	`associate-+l-_binary32`
233×	`associate-+l+_binary32`
231×	`associate-+r-_binary32`
214×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	385
1	327	363
2	978	341
3	4387	330
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 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 6931/10000) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (fma.f32 -1 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)) 6931/10000))))
(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 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 6931/10000) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (fma.f32 -1 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)) 6931/10000))))
(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 (-.f32 (/.f32 sinTheta_i (/.f32 v cosTheta_O)) (/.f32 cosTheta_i (/.f32 v sinTheta_O))) (-.f32 (/.f32 1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) cosTheta_O) (+.f32 (*.f32 (/.f32 cosTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) -6931/10000)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_i v)) (fma.f32 (/.f32 cosTheta_i v) sinTheta_O (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (fma.f32 -1 (fma.f32 (/.f32 cosTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))))
(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 (-.f32 (/.f32 sinTheta_O (/.f32 v cosTheta_O)) (/.f32 cosTheta_i (/.f32 v sinTheta_i))) (-.f32 (/.f32 1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 cosTheta_O (/.f32 v sinTheta_O)) (.f32 (/.f32 cosTheta_i v) sinTheta_i)) (/.f32 -1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_O (/.f32 v sinTheta_O)) (fma.f32 (/.f32 cosTheta_i v) sinTheta_i (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 (/.f32 cosTheta_O v) sinTheta_O (fma.f32 -1 (fma.f32 (/.f32 cosTheta_i v) sinTheta_i (/.f32 1 v)) 6931/10000))))
(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 cosTheta_O v) cosTheta_i) (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (/.f32 1 cosTheta_i))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 cosTheta_i)))))
(*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 sinTheta_i (/.f32 cosTheta_i sinTheta_O))) (/.f32 -1 cosTheta_i)))) (/.f32 1/2 cosTheta_i))
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 v cosTheta_i)) (fma.f32 (/.f32 sinTheta_i cosTheta_i) sinTheta_O (/.f32 1 cosTheta_i))))) (/.f32 1/2 cosTheta_i))
(*.f32 (exp.f32 (fma.f32 (/.f32 v cosTheta_i) cosTheta_O (fma.f32 -1 (fma.f32 (/.f32 sinTheta_i cosTheta_i) sinTheta_O (/.f32 1 cosTheta_i)) 6931/10000))) (/.f32 1/2 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 cosTheta_i (/.f32 v sinTheta_i)) (+.f32 (/.f32 sinTheta_O (/.f32 v cosTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_i v) sinTheta_i) (+.f32 (/.f32 1 v) (/.f32 cosTheta_O (/.f32 v sinTheta_O)))))) (/.f32 1/2 v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 sinTheta_i (/.f32 cosTheta_i v))) (fma.f32 (/.f32 cosTheta_O v) sinTheta_O (/.f32 1 v)))) (/.f32 1/2 v))
(*.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) sinTheta_i (fma.f32 -1 (fma.f32 (/.f32 cosTheta_O v) sinTheta_O (/.f32 1 v)) 6931/10000))) (/.f32 1/2 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 (log.f32 (/.f32 1/2 v)) (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v sinTheta_O)) (/.f32 sinTheta_i (/.f32 v cosTheta_O))) (-.f32 (/.f32 1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) sinTheta_O) (*.f32 (/.f32 sinTheta_i v) cosTheta_O)) (/.f32 -1 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) (+.f32 (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 1 v)) -6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 (/.f32 cosTheta_i v) sinTheta_O (fma.f32 -1 (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 1 v)) 6931/10000))))
(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 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 sinTheta_i (/.f32 cosTheta_O sinTheta_O)) (/.f32 1 cosTheta_O))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 cosTheta_O)))))
(.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i cosTheta_O) v) (*.f32 (/.f32 sinTheta_i cosTheta_O) sinTheta_O)) (/.f32 -1 cosTheta_O)))) (/.f32 1/2 cosTheta_O))
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 1 cosTheta_O))))) (/.f32 1/2 cosTheta_O))
(*.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i cosTheta_O) v (fma.f32 -1 (fma.f32 (/.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 1 cosTheta_O)) 6931/10000))) (/.f32 1/2 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 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 6931/10000) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (fma.f32 -1 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)) 6931/10000))))
(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 cosTheta_i (/.f32 sinTheta_i cosTheta_O)) (/.f32 v (/.f32 sinTheta_i sinTheta_O))) (/.f32 1 sinTheta_i)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 sinTheta_i)))))
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_i sinTheta_i) cosTheta_O) (-.f32 (/.f32 (*.f32 v sinTheta_O) sinTheta_i) (/.f32 -1 sinTheta_i))))) (/.f32 1/2 sinTheta_i))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i)) (fma.f32 (/.f32 v sinTheta_i) sinTheta_O (+.f32 (/.f32 1 sinTheta_i) -6931/10000)))) (/.f32 1/2 sinTheta_i))
(*.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i sinTheta_i) cosTheta_O (fma.f32 -1 (fma.f32 (/.f32 v sinTheta_i) sinTheta_O (/.f32 1 sinTheta_i)) 6931/10000))) (/.f32 1/2 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)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 sinTheta_O cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 sinTheta_O))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 sinTheta_O)))))
(.f32 (exp.f32 (-.f32 (.f32 (/.f32 cosTheta_i sinTheta_O) cosTheta_O) (+.f32 (*.f32 (/.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 1 sinTheta_O) -6931/10000)))) (/.f32 1/2 sinTheta_O))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) (fma.f32 (/.f32 sinTheta_i sinTheta_O) v (+.f32 (/.f32 1 sinTheta_O) -6931/10000)))) (/.f32 1/2 sinTheta_O))
(*.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i sinTheta_O) cosTheta_O (fma.f32 -1 (fma.f32 (/.f32 sinTheta_i sinTheta_O) v (/.f32 1 sinTheta_O)) 6931/10000))) (/.f32 1/2 sinTheta_O))

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary32`
512×	`exp-sum_binary32`
492×	`fma-neg_binary32`
429×	`exp-diff_binary32`
212×	`times-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	35
1	53	33
2	147	31
3	584	29
4	2863	29

Stop Event

1×	node limit

Counts

1 → 2

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

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

Status

Error

Program

0.3b

(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)))))

▶

0.2b

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

Compiler

Compiled 160 to 112 computations (30% saved)

localize53.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series45.0ms (0.5%)

Counts

4 → 180

Calls

54 calls:

Time	Variable		Point	Expression
5.0ms	sinTheta_i	@	0	(*.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))
4.0ms	v	@	0	(-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))
3.0ms	cosTheta_O	@	0	(-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))
2.0ms	cosTheta_O	@	0	(*.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))
2.0ms	v	@	inf	(*.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))

rewrite95.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`prod-diff_binary32`
192×	`add-sqr-sqrt_binary32`
184×	`*-un-lft-identity_binary32`
184×	`pow1_binary32`
178×	`add-log-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	81
1	382	81
2	4973	81

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 v (.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (.f32 v 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (.f32 (.f32 v 2) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) 1/2) v)))) 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(/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1/2 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))) (.f32 (neg.f32 v) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) 1/2) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) 1/2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) 1/2) (sqrt.f32 v)) (sqrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (/.f32 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(#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 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simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

587×	`fma-def_binary32`
407×	`associate-/r/_binary32`
235×	`distribute-rgt-in_binary32`
231×	`distribute-lft-in_binary32`
229×	`associate-/l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	5800
1	602	5291
2	2260	4778

Stop Event

1×	node limit

Counts

313 → 212

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

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

prune449.0ms (5.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	208	4	212
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	209	5	214

Error

0.1b

Counts

214 → 5

Alt Table

Status	Error	Program
	0.2b	(*.f32 (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))
	0.2b	(pow.f32 (cbrt.f32 (*.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))) 3)
	0.3b	(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)))))
	0.3b	(*.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 2))) (cbrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) (/.f32 1/2 v))
▶	0.1b	(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))

Compiler

Compiled 7283 to 4186 computations (42.5% saved)

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)
✓	0.0b	(-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	0.1b	(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
✓	7.4b	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

series20.0ms (0.2%)

Counts

4 → 68

Calls

36 calls:

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

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

261×	`expm1-udef_binary32`
261×	`log1p-udef_binary32`
149×	`add-sqr-sqrt_binary32`
144×	`*-un-lft-identity_binary32`
144×	`pow1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	291	62
2	4380	62

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 sinTheta_i (/.f32 1 (/.f32 v sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 sinTheta_i (.f32 sinTheta_O (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 sinTheta_O (.f32 sinTheta_i (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 sinTheta_i sinTheta_O) (/.f32 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 v) (.f32 sinTheta_i sinTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (pow.f32 (cbrt.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 2) (cbrt.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) 2)) (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 v -1/2) (/.f32 (.f32 sinTheta_i sinTheta_O) (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (sqrt.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) (.f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) (/.f32 1 (neg.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_i 1) (/.f32 sinTheta_O v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_O 1) (/.f32 sinTheta_i v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_i v) sinTheta_O)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) 2)) 1) (/.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) 1) (/.f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 sinTheta_O (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_O (pow.f32 (cbrt.f32 v) 2)) (/.f32 sinTheta_i (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (.f32 sinTheta_i sinTheta_O) (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) 2)) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_i (sqrt.f32 v)) (/.f32 sinTheta_O (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_O (sqrt.f32 v)) (/.f32 sinTheta_i (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) 2)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 sinTheta_i sinTheta_O) (cbrt.f32 (pow.f32 v -2))) (/.f32 1 (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 sinTheta_i sinTheta_O) (pow.f32 v -1/2)) (pow.f32 v -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 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(/.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))) 1) (/.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))) 2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))) (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))) (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) (cbrt.f32 (pow.f32 v -2))) (/.f32 1 (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) (pow.f32 v -1/2)) (pow.f32 v -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) (neg.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) 3) (pow.f32 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) 3) (pow.f32 v -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (-.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))) (log.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (-.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))) (log.f32 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v)))))))

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

689×	`associate-/l*_binary32`
412×	`associate-/r*_binary32`
393×	`associate-r_binary32`
329×	`associate-l_binary32`
286×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1905
1	398	1773
2	1365	1769

Stop Event

1×	node limit

Counts

213 → 194

Calls

Call 1

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

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

prune322.0ms (3.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	191	3	194
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	193	6	199

Error

0.1b

Counts

199 → 6

Alt Table

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

Compiler

Compiled 5121 to 3323 computations (35.1% saved)

localize45.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v)
✓	0.0b	(-.f32 6931/10000 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))
✓	0.1b	(pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))
	7.4b	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

series16.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	sinTheta_O	@	inf	(/.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v)
1.0ms	sinTheta_i	@	0	(pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))
1.0ms	sinTheta_O	@	0	(pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))
1.0ms	v	@	inf	(/.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v)
1.0ms	v	@	inf	(pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

278×	`log1p-udef_binary32`
163×	`add-sqr-sqrt_binary32`
157×	`*-un-lft-identity_binary32`
157×	`pow1_binary32`
153×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	322	55
2	4775	55

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs

(pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))

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

(/.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v)))) v)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))) (cbrt.f32 (pow.f32 (exp.f32 2) (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (exp.f32 2) (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))) (cbrt.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 6931/10000) (exp.f32 (neg.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 6931/10000) (/.f32 1 (exp.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (neg.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))) (sqrt.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (pow.f32 (cbrt.f32 (E.f32)) (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (E.f32)) (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (pow.f32 (sqrt.f32 (E.f32)) (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (exp.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))) (exp.f32 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (exp.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (exp.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (exp.f32 6931/10000)) (neg.f32 (exp.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (exp.f32 2) (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 6931/10000 (neg.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 6931/10000 (*.f32 (neg.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))) 6931/10000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 6931/20000 (/.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)) 2)) (-.f32 6931/20000 (/.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (neg.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (*.f32 -1 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (*.f32 (neg.f32 (cbrt.f32 (pow.f32 v -2))) (/.f32 1 (cbrt.f32 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (*.f32 (neg.f32 (pow.f32 v -1/2)) (pow.f32 v -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 2) (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))) (log.f32 (cbrt.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (pow.f32 (cbrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 2) (cbrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (sqrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 332956652491/1000000000000 (pow.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)) 3)) (/.f32 1 (+.f32 48038761/100000000 (*.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)) (+.f32 6931/10000 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 48038761/100000000 (pow.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)) 2)) (/.f32 1 (+.f32 6931/10000 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 48038761/100000000 (*.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)) (+.f32 6931/10000 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))))) (-.f32 332956652491/1000000000000 (pow.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 6931/10000 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))) (-.f32 48038761/100000000 (pow.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 332956652491/1000000000000 (pow.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)) 3)) (+.f32 48038761/100000000 (*.f32 (+.f32 (*.f32 (/.f32 sinTheta_i 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(pow.f32 (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3) (pow.f32 v -3)) (+.f32 (*.f32 (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (+.f32 (pow.f32 v -2) (*.f32 (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 332956652491/1000000000000 (pow.f32 (neg.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))) 3)) (+.f32 48038761/100000000 (-.f32 (*.f32 (neg.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))) (neg.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)))) (*.f32 6931/10000 (neg.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (pow.f32 v -2)) (+.f32 (-.f32 6931/10000 (*.f32 (/.f32 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sinTheta_O))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) v)))))))

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

691×	`associate-/l*_binary32`
419×	`associate-/r*_binary32`
394×	`associate-r_binary32`
329×	`associate-l_binary32`
289×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	2703
1	408	2598
2	1382	2259

Stop Event

1×	node limit

Counts

207 → 151

Calls

Call 1

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

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

prune458.0ms (5.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	193	2	195
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	194	7	201

Error

0.1b

Counts

201 → 7

Alt Table

Status	Error	Program
	0.1b	(.f32 1/2 (/.f32 (pow.f32 (E.f32) (+.f32 (-.f32 6931/10000 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (*.f32 (neg.f32 (cbrt.f32 (pow.f32 v -2))) (/.f32 1 (cbrt.f32 v))))) v))
	0.1b	(.f32 1/2 (/.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))) 2))) (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))) v))
	0.3b	(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	(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (neg.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))))) v))
✓	0.1b	(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
	0.1b	(.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))) (log.f32 v))))
	0.2b	(*.f32 (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))

Compiler

Compiled 5284 to 3371 computations (36.2% saved)

localize51.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series18.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

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

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

280×	`log1p-udef_binary32`
171×	`add-sqr-sqrt_binary32`
165×	`*-un-lft-identity_binary32`
165×	`pow1_binary32`
160×	`add-log-exp_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	347	55
2	4815	55

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

Inputs
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(pow.f32 (E.f32) (neg.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))))
(.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (neg.f32 (+.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)))))
(/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (neg.f32 (+.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))))) v)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 sinTheta_i (/.f32 v sinTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 sinTheta_O (/.f32 v sinTheta_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 sinTheta_i sinTheta_O) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (cbrt.f32 (.f32 v v))) (cbrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (sqrt.f32 v)) (sqrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 1 v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (exp.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (cbrt.f32 (pow.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2)) (cbrt.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (sqrt.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (exp.f32 (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (pow.f32 (cbrt.f32 (E.f32)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (E.f32)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (pow.f32 (sqrt.f32 (E.f32)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (E.f32) (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (pow.f32 (E.f32) (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (neg.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 6931/10000) (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 3) (pow.f32 (exp.f32 6931/10000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 v) (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (.f32 (exp.f32 6931/10000) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 6931/10000) (/.f32 1 (.f32 v (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 6931/10000) (.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) (/.f32 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) 2)) (.f32 (cbrt.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v)) (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v)) 2) (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))) (.f32 (sqrt.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 v -1/2) (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v)) (sqrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))) (/.f32 -1 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 1) (/.f32 (exp.f32 6931/10000) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 6931/10000) 1) (/.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) 2)) 1) (/.f32 (cbrt.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))) 1) (/.f32 (sqrt.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (cbrt.f32 (.f32 v v))) (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (cbrt.f32 (.f32 v v))) (/.f32 (exp.f32 6931/10000) (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 6931/10000) (cbrt.f32 (.f32 v v))) (/.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) 2)) (cbrt.f32 (.f32 v v))) (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))) (cbrt.f32 (.f32 v v))) (/.f32 (sqrt.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))) (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (sqrt.f32 v)) (/.f32 (exp.f32 6931/10000) (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 6931/10000) (sqrt.f32 v)) (/.f32 (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) 2)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))) (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) (cbrt.f32 (pow.f32 v -2))) (/.f32 1 (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) (pow.f32 v -1/2)) (pow.f32 v -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 v (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)) (neg.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (exp.f32 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simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

671×	`associate-/r*_binary32`
599×	`associate-l_binary32`
398×	`fma-def_binary32`
255×	`associate-*l/_binary32`
233×	`associate-/r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	3388
1	501	3222
2	1864	2862

Stop Event

1×	node limit

Counts

252 → 168

Calls

Call 1

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

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

prune192.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	168	7	175

Error

0.1b

Counts

175 → 7

Alt Table

Status	Error	Program
	0.1b	(.f32 1/2 (/.f32 (pow.f32 (E.f32) (+.f32 (-.f32 6931/10000 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (*.f32 (neg.f32 (cbrt.f32 (pow.f32 v -2))) (/.f32 1 (cbrt.f32 v))))) v))
	0.1b	(.f32 1/2 (/.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))) 2))) (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))))) v))
	0.3b	(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	(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (neg.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))))) v))
✓	0.1b	(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
	0.1b	(.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))) (log.f32 v))))
	0.2b	(*.f32 (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))

Compiler

Compiled 4412 to 3021 computations (31.5% saved)

regimes233.0ms (2.8%)

Accuracy

Total -28.3b remaining (-23143%)

Threshold costs -28.3b (-23143%)

Counts

27 → 1

Compiler

Compiled 679 to 424 computations (37.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary32`
7×	`+-commutative_binary32`
6×	`sub-neg_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	30
1	31	30
2	47	28
3	59	28
4	67	28
5	71	28
6	72	28

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

(*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (neg.f32 (+.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v))))) v))

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

(*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (-.f32 (/.f32 -1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))) v))

end24.0ms (0.3%)

Stop Event

1×

fuel

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 138 to 108 computations (21.7% saved)

Details

analyze2.1s (25.6%)

sample3.5s (42.1%)

preprocess56.0ms (0.7%)

simplify23.0ms (0.3%)

prune4.0ms (0.1%)

localize53.0ms (0.6%)

series45.0ms (0.5%)

rewrite95.0ms (1.2%)

simplify99.0ms (1.2%)

prune449.0ms (5.5%)

localize42.0ms (0.5%)

series20.0ms (0.2%)

rewrite79.0ms (1%)

simplify46.0ms (0.6%)

prune322.0ms (3.9%)

localize45.0ms (0.6%)

series16.0ms (0.2%)

rewrite75.0ms (0.9%)

simplify59.0ms (0.7%)

prune458.0ms (5.6%)

localize51.0ms (0.6%)

series18.0ms (0.2%)

rewrite69.0ms (0.8%)

simplify75.0ms (0.9%)

prune192.0ms (2.3%)

regimes233.0ms (2.8%)

simplify3.0ms (0%)

end24.0ms (0.3%)

Profiling