Details

analyze826.0ms (6.4%)

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

sample3.1s (24.1%)

Results

3.1s	8256×	body	256	valid
32.0ms	124×	body	256	invalid

preprocess52.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

880×	`fma-neg_binary32`
856×	`exp-diff_binary32`
346×	`cancel-sign-sub-inv_binary32`
317×	`distribute-neg-in_binary32`
278×	`associate-+l-_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 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 -1 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 -1 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 cosTheta_O (/.f32 sinTheta_i v) (fma.f32 -1 (fma.f32 sinTheta_O (/.f32 cosTheta_i v) (/.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 cosTheta_O (/.f32 sinTheta_O v) (fma.f32 -1 (fma.f32 cosTheta_i (/.f32 sinTheta_i v) (/.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 cosTheta_O (/.f32 v cosTheta_i) (fma.f32 -1 (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i) (/.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 cosTheta_i (/.f32 sinTheta_i v) (fma.f32 -1 (fma.f32 sinTheta_O (/.f32 cosTheta_O v) (/.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 sinTheta_O (/.f32 cosTheta_i v) (fma.f32 -1 (fma.f32 cosTheta_O (/.f32 sinTheta_i v) (/.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 v (/.f32 cosTheta_i cosTheta_O) (fma.f32 -1 (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_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 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 -1 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 cosTheta_O (/.f32 cosTheta_i sinTheta_i) (fma.f32 -1 (fma.f32 sinTheta_O (/.f32 v sinTheta_i) (/.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 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (fma.f32 -1 (fma.f32 (/.f32 v sinTheta_O) sinTheta_i (/.f32 1 sinTheta_O)) 6931/10000))) (/.f32 1/2 sinTheta_O))

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary32`
512×	`exp-sum_binary32`
492×	`fma-neg_binary32`
435×	`sub-neg_binary32`
429×	`exp-diff_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))

eval1.0ms (0%)

Compiler: Compiled 50 to 34 computations (32% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(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 (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

▶

0.1b

(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 (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 55 to 39 computations (29.1% saved)

localize84.0ms (0.6%)

Local error

Found 8 expressions with local error:

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

series46.0ms (0.4%)

Counts

4 → 156

Calls

48 calls:

Time	Variable		Point	Expression
19.0ms	v	@	0	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)
2.0ms	v	@	0	(-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))
2.0ms	cosTheta_O	@	0	(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
1.0ms	sinTheta_i	@	0	(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
1.0ms	v	@	-inf	(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))

rewrite116.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`log-prod_binary32`
552×	`prod-diff_binary32`
281×	`expm1-udef_binary32`
281×	`log1p-udef_binary32`
277×	`fma-def_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	314	63
2	4119	63

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

Inputs
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)
(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 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))

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

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

817×	`associate-/l*_binary32`
643×	`associate-r_binary32`
557×	`associate-l_binary32`
455×	`associate-/r*_binary32`
285×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	3494
1	401	3235
2	1420	2620

Stop Event

1×	node limit

Counts

358 → 255

Calls

Call 1

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

localize75.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(log.f32 (/.f32 1 (*.f32 2 v)))
	0.0b	(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v))
	0.0b	(*.f32 cosTheta_i cosTheta_O)
	0.0b	(*.f32 sinTheta_i sinTheta_O)
✓	0.1b	(+.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 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
✓	6.9b	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	7.4b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

series53.0ms (0.4%)

Counts

4 → 120

Calls

48 calls:

Time	Variable		Point	Expression
11.0ms	cosTheta_i	@	0	(+.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))))
7.0ms	v	@	inf	(+.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))))
7.0ms	v	@	0	(+.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))))
3.0ms	v	@	-inf	(+.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))))
2.0ms	sinTheta_i	@	0	(+.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))))

rewrite131.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

439×	`log1p-udef_binary32`
253×	`add-sqr-sqrt_binary32`
245×	`*-un-lft-identity_binary32`
245×	`pow1_binary32`
236×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	57
1	489	54
2	7706	54

Stop Event

1×	node limit

Counts

4 → 203

Calls

Call 1

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

simplify109.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary32`
457×	`distribute-neg-in_binary32`
447×	`associate--l+_binary32`
360×	`sub-neg_binary32`
347×	`unsub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	2612
1	199	2273
2	559	2043
3	1952	2037
4	5253	2037
5	7166	2037

Stop Event

1×	node limit

Counts

323 → 228

Calls

Call 1

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

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

eval328.0ms (2.5%)

Compiler: Compiled 15187 to 8227 computations (45.8% saved)

prune162.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	474	9	483
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	476	9	485

Error

0.0b

Counts

485 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.7b	(.f32 (.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (exp.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) (/.f32 1/2 v))
	0.1b	(.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 1/2 v))
▶	0.7b	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
▶	0.1b	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
	0.1b	(*.f32 (pow.f32 (cbrt.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))))) 3) (/.f32 1/2 v))
▶	0.1b	(*.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))
▶	30.5b	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
	28.8b	(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 1/2 v))
	0.1b	(exp.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3))

Compiler

Compiled 390 to 290 computations (25.6% saved)

localize44.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
	0.0b	(log.f32 (/.f32 1/2 v))
	0.0b	(+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
	0.0b	(*.f32 sinTheta_i sinTheta_O)
✓	0.0b	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
✓	0.0b	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
✓	0.1b	(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
	6.9b	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

series65.0ms (0.5%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Point	Expression
23.0ms	v	@	0	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
21.0ms	v	@	inf	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
9.0ms	v	@	-inf	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
4.0ms	v	@	0	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
1.0ms	v	@	inf	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`fma-def_binary32`
425×	`fma-neg_binary32`
321×	`expm1-udef_binary32`
321×	`log1p-udef_binary32`
185×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	363	59
2	5485	55

Stop Event

1×	node limit

Counts

3 → 208

Calls

Call 1

Inputs

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

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

(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 1/2) (-.f32 (log.f32 v) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 48038761/100000000 (+.f32 6931/10000 (log.f32 (*.f32 v 2)))) (/.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (+.f32 6931/10000 (log.f32 (*.f32 v 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 6931/10000 (log.f32 1/2)) (log.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2) (cbrt.f32 (+.f32 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simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-neg_binary32`
663×	`associate-/l*_binary32`
604×	`associate-r_binary32`
492×	`associate-l_binary32`
410×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	2050
1	340	1773
2	1280	1626
3	7159	1626

Stop Event

1×	node limit

Counts

272 → 249

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.4b	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
✓	0.4b	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite99.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`pow1_binary32`
624×	`add-log-exp_binary32`
624×	`log1p-expm1-u_binary32`
624×	`expm1-log1p-u_binary32`
613×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	146	9
2	1697	9

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) (*.f32 v 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 6931/10000) (*.f32 v 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 v (*.f32 (exp.f32 6931/10000) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (exp.f32 6931/10000) 1/2)) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (exp.f32 6931/10000) 1/2) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (exp.f32 6931/10000) 1/2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (exp.f32 6931/10000) 1/2) (sqrt.f32 v)) (sqrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -1/2 (exp.f32 6931/10000)) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 6931/10000) -1/2) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (exp.f32 6931/10000) (*.f32 v 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) (*.f32 v 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) (*.f32 v 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (exp.f32 6931/10000) (*.f32 v 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 1/4 (*.f32 v v)) (exp.f32 6931/5000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (exp.f32 6931/10000) (*.f32 v 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) (*.f32 v 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 (/.f32 1/2 v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 6931/10000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (exp.f32 6931/10000) (*.f32 v 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (exp.f32 6931/10000) (*.f32 v 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary32`
2×	`associate-/l*_binary32`
1×	`associate-*r/_binary32`
1×	`associate-*l/_binary32`
1×	`associate-/r/_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	108
1	10	108
2	14	108
3	18	108
4	19	108

Stop Event

1×

saturated

Counts

34 → 24

Calls

Call 1

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

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

localize33.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

series20.0ms (0.2%)

Counts

4 → 72

Calls

42 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`log-prod_binary32`
621×	`fma-def_binary32`
315×	`fma-neg_binary32`
260×	`pow1/3_binary32`
254×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	277	38
2	3935	38

Stop Event

1×	node limit

Counts

4 → 128

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 cosTheta_i cosTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) cosTheta_i)) (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) cosTheta_i)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) cosTheta_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) cosTheta_i))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) cosTheta_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 cosTheta_i cosTheta_O))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 cosTheta_i cosTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 cosTheta_O) cosTheta_i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 cosTheta_i cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 cosTheta_i cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 cosTheta_i cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 cosTheta_i cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 cosTheta_i cosTheta_O)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 sinTheta_i sinTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 sinTheta_i) sinTheta_O)) (cbrt.f32 (pow.f32 (exp.f32 sinTheta_i) sinTheta_O)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 sinTheta_i) sinTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) sinTheta_O))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) sinTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 sinTheta_i sinTheta_O 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 sinTheta_i sinTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 sinTheta_i) sinTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 sinTheta_i sinTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 sinTheta_i sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 sinTheta_i sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (.f32 (log1p.f32 (.f32 sinTheta_i sinTheta_O)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 sinTheta_i sinTheta_O 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 sinTheta_i sinTheta_O 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 2) (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 1 (pow.f32 (.f32 sinTheta_i sinTheta_O) 3)) (/.f32 1 (fma.f32 (.f32 sinTheta_i sinTheta_O) (fma.f32 sinTheta_i sinTheta_O -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 1 (pow.f32 (.f32 sinTheta_i sinTheta_O) 2)) (/.f32 1 (-.f32 1 (.f32 sinTheta_i sinTheta_O))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 sinTheta_i sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 sinTheta_i sinTheta_O)) 1))))))

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

961×	`times-frac_binary32`
663×	`associate-/l*_binary32`
558×	`fma-neg_binary32`
497×	`associate-r_binary32`
404×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	2000
1	327	1812
2	1093	1652
3	7127	1640

Stop Event

1×	node limit

Counts

200 → 165

Calls

Call 1

Inputs
(exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) v) (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))) v) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))))
(+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))) v) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))))
(exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))) v) (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (pow.f32 cosTheta_O 2) (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) v) (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))))
(+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (pow.f32 cosTheta_O 3) (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (pow.f32 cosTheta_O 2) (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) cosTheta_O)) v) (exp.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v))
(+.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) v)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) sinTheta_O)) v)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) v)) (pow.f32 sinTheta_O 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) v)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) sinTheta_O)) v))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) v)) (pow.f32 sinTheta_O 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) v)) (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) v)) sinTheta_O)) v)) (.f32 -1/6 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (pow.f32 sinTheta_O 3))) (pow.f32 v 3))))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v))
(+.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) v)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) sinTheta_O)) v)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) v)) (pow.f32 sinTheta_O 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) v)) (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) sinTheta_O)) v))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) v)) (pow.f32 sinTheta_O 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) v)) (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) v)) sinTheta_O)) v)) (.f32 -1/6 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (pow.f32 sinTheta_O 3))) (pow.f32 v 3))))))
1
(-.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (+.f32 1 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 1/2 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) 2) (pow.f32 v 2))))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (+.f32 1 (+.f32 (.f32 1/6 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) 3) (pow.f32 v 3))) (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 1/2 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) 2) (pow.f32 v 2)))))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
1
(-.f32 (+.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (+.f32 1 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 1/2 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) 2) (pow.f32 v 2))))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (+.f32 1 (+.f32 (.f32 1/6 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) 3) (pow.f32 v 3))) (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 1/2 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) 2) (pow.f32 v 2)))))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(-.f32 (+.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 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(-.f32 (+.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 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(-.f32 (+.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 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(-.f32 (+.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 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))

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

localize79.0ms (0.6%)

Local error

Found 8 expressions with local error:

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

series7.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	cosTheta_O	@	0	(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))))
1.0ms	sinTheta_O	@	0	(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))))
0.0ms	sinTheta_i	@	0	(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))))
0.0ms	cosTheta_i	@	0	(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))))
0.0ms	v	@	-inf	(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))))

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`log-prod_binary32`
552×	`prod-diff_binary32`
298×	`expm1-udef_binary32`
298×	`log1p-udef_binary32`
281×	`fma-def_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	23
1	344	23
2	4484	23

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(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))))

Outputs

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

797×	`associate-/l*_binary32`
638×	`associate-r_binary32`
556×	`associate-l_binary32`
443×	`associate-/r*_binary32`
279×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	2316
1	362	2180
2	1335	2148

Stop Event

1×	node limit

Counts

85 → 53

Calls

Call 1

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

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

localize83.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(exp.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
	0.0b	(exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))
	0.0b	(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))
	0.0b	(.f32 (.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (exp.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) (/.f32 1/2 v))
✓	0.0b	(exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))
✓	0.1b	(exp.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
	0.1b	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)
✓	0.9b	(*.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (exp.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))

series22.0ms (0.2%)

Counts

3 → 88

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	v	@	-inf	(*.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (exp.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
2.0ms	v	@	inf	(*.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (exp.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
1.0ms	cosTheta_O	@	0	(*.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (exp.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
1.0ms	sinTheta_i	@	0	(*.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (exp.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
1.0ms	sinTheta_O	@	0	(*.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (exp.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

777×	`log-prod_binary32`
282×	`expm1-udef_binary32`
282×	`log1p-udef_binary32`
264×	`pow3_binary32`
249×	`prod-diff_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	341	46
2	4246	46

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs

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

(exp.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))

(exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)))) (cbrt.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)))))) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))) (cbrt.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) 2)) (cbrt.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))) (sqrt.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))) (sqrt.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) 2)) (cbrt.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))))))))

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-def_binary32`
440×	`associate-*l/_binary32`
407×	`associate-*r/_binary32`
376×	`associate-/r/_binary32`
289×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	3793
1	984	3359
2	3590	3177

Stop Event

1×	node limit

Counts

159 → 139

Calls

Call 1

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

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

eval518.0ms (4%)

Compiler: Compiled 26858 to 15977 computations (40.5% saved)

prune172.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	894	11	905
Fresh	3	1	4
Picked	1	0	1
Done	4	0	4
Total	902	12	914

Error

0.0b

Counts

914 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(.f32 (.f32 (exp.f32 (neg.f32 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (exp.f32 6931/10000)) (/.f32 1/2 v))
▶	0.1b	(.f32 (pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))
	28.3b	(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
	0.2b	(*.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (-.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))
	29.9b	1
	0.1b	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
▶	0.1b	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	0.1b	(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
▶	0.7b	(exp.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
	0.1b	(pow.f32 (cbrt.f32 (/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3)
▶	28.9b	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
▶	0.1b	(exp.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3))

Compiler

Compiled 470 to 364 computations (22.6% saved)

localize29.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series3.0ms (0%)

Counts

3 → 32

Calls

9 calls:

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`prod-diff_binary32`
487×	`log-prod_binary32`
311×	`fma-def_binary32`
299×	`pow2_binary32`
207×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	244	38
2	3255	38

Stop Event

1×	node limit

Counts

3 → 253

Calls

Call 1

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

Outputs

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

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

831×	`fma-def_binary32`
671×	`associate-/r*_binary32`
656×	`associate-*l/_binary32`
505×	`associate-l_binary32`
449×	`associate-/l/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	694
1	151	643
2	460	525
3	1959	487

Stop Event

1×	node limit

Counts

285 → 278

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`pow1_binary32`
695×	`add-log-exp_binary32`
695×	`log1p-expm1-u_binary32`
695×	`expm1-log1p-u_binary32`
678×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	142	16
2	1864	16

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (*.f32 2 (/.f32 cosTheta_i v))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 cosTheta_O (/.f32 v cosTheta_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 v (*.f32 cosTheta_O cosTheta_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (sqrt.f32 v)) (sqrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i)) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 cosTheta_O 3) (pow.f32 (/.f32 cosTheta_i v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 cosTheta_i v) 3) (pow.f32 cosTheta_O 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (expm1.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)) (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (*.f32 2 (/.f32 cosTheta_i v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (*.f32 2 (/.f32 cosTheta_i v)))) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) 2)) (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 cosTheta_O) cosTheta_i) (/.f32 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 cosTheta_O) (pow.f32 (cbrt.f32 (/.f32 cosTheta_i v)) 2)) (cbrt.f32 (/.f32 cosTheta_i v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 cosTheta_O) (sqrt.f32 (/.f32 cosTheta_i v))) (sqrt.f32 (/.f32 cosTheta_i v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (*.f32 2 (/.f32 cosTheta_i v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)))))))

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

837×	`associate-*l/_binary32`
815×	`associate-/l/_binary32`
781×	`associate-*r/_binary32`
732×	`fma-def_binary32`
343×	`times-frac_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	784
1	87	784
2	279	756
3	2023	736
4	6937	728
5	7260	728
6	7613	728

Stop Event

1×	node limit

Counts

121 → 59

Calls

Call 1

Inputs
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
1
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1
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(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
1
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1
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Outputs
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
1
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(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
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(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
1
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(+.f32 1 (fma.f32 1/2 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) (/.f32 (.f32 cosTheta_O cosTheta_O) v)) (fma.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 3)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
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(fma.f32 1/6 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (fma.f32 1/2 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 v v) cosTheta_i))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 1)))
(fma.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i 1/2)) (.f32 v (/.f32 v cosTheta_O)))) (fma.f32 1/6 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 1))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))
(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))
(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))
(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))
(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))
(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))
(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))
(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))
(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))
(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))
(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))
(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))
(pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)
1
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 1)
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O 1)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) 1)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 1)
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (fma.f32 1/2 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 cosTheta_O cosTheta_O)) (.f32 v v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(+.f32 1 (fma.f32 1/2 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) (/.f32 (*.f32 cosTheta_O cosTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(fma.f32 1/2 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 1))
(fma.f32 1/2 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 v v) cosTheta_i))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 1))
(fma.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i 1/2)) (*.f32 v (/.f32 v cosTheta_O)))) 1)
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 3))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(+.f32 1 (fma.f32 1/2 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 cosTheta_O cosTheta_O)) (.f32 v v)) (fma.f32 1/6 (/.f32 (pow.f32 cosTheta_i 3) (/.f32 (pow.f32 v 3) (pow.f32 cosTheta_O 3))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(+.f32 1 (fma.f32 1/2 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) (/.f32 (.f32 cosTheta_O cosTheta_O) v)) (fma.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 3)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(+.f32 (/.f32 (.f32 1/6 (pow.f32 cosTheta_i 3)) (pow.f32 (/.f32 v cosTheta_O) 3)) (fma.f32 1/2 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 1)))
(fma.f32 1/6 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (fma.f32 1/2 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 v v) cosTheta_i))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 1)))
(fma.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i 1/2)) (.f32 v (/.f32 v cosTheta_O)))) (fma.f32 1/6 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 1))
1
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 1)
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O 1)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) 1)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 1)
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+.f32 1 (fma.f32 1/2 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 cosTheta_O cosTheta_O)) (.f32 v v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(+.f32 1 (fma.f32 1/2 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) (/.f32 (*.f32 cosTheta_O cosTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(fma.f32 1/2 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 1))
(fma.f32 1/2 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 v v) cosTheta_i))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 1))
(fma.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i 1/2)) (*.f32 v (/.f32 v cosTheta_O)))) 1)
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 3))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(+.f32 1 (fma.f32 1/2 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 cosTheta_O cosTheta_O)) (.f32 v v)) (fma.f32 1/6 (/.f32 (pow.f32 cosTheta_i 3) (/.f32 (pow.f32 v 3) (pow.f32 cosTheta_O 3))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(+.f32 1 (fma.f32 1/2 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) (/.f32 (.f32 cosTheta_O cosTheta_O) v)) (fma.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)) (pow.f32 v 3)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(+.f32 (/.f32 (.f32 1/6 (pow.f32 cosTheta_i 3)) (pow.f32 (/.f32 v cosTheta_O) 3)) (fma.f32 1/2 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 1)))
(fma.f32 1/6 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (fma.f32 1/2 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 v v) cosTheta_i))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 1)))
(fma.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i 1/2)) (.f32 v (/.f32 v cosTheta_O)))) (fma.f32 1/6 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 1))

localize56.0ms (0.4%)

Local error

Found 6 expressions with local error:

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

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite169.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`log-prod_binary32`
389×	`exp-prod_binary32`
362×	`prod-diff_binary32`
274×	`pow-prod-down_binary32`
259×	`pow2_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	192	22
2	2647	22

Stop Event

1×	node limit

Counts

2 → 186

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))) (cbrt.f32 (exp.f32 (*.f32 2 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (exp.f32 (*.f32 2 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v)))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (/.f32 -1 v)) (pow.f32 (exp.f32 1) (neg.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (*.f32 1/2 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))) (pow.f32 (exp.f32 1) (*.f32 1/2 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (*.f32 2 (*.f32 1/3 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v)))) (pow.f32 (exp.f32 1) (*.f32 1/3 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (pow.f32 (exp.f32 1) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) (neg.f32 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 1) (exp.f32 (log1p.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v)))) (pow.f32 (exp.f32 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1)) (/.f32 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1)) (*.f32 (/.f32 1 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (*.f32 2 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (*.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1)) 2)) (*.f32 (cbrt.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1)) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))) (sqrt.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v)))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (pow.f32 (cbrt.f32 (/.f32 -1 v)) 2) (cbrt.f32 (/.f32 -1 v)) (neg.f32 (*.f32 (/.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 v)) (/.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (*.f32 v v)))))) (fma.f32 (neg.f32 (/.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 v))) (/.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (*.f32 v v))) (*.f32 (/.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 v)) (/.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (*.f32 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (sqrt.f32 (/.f32 -1 v)) (sqrt.f32 (/.f32 -1 v)) (neg.f32 (*.f32 (/.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 v)) (/.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (*.f32 v v)))))) (fma.f32 (neg.f32 (/.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 v))) (/.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (*.f32 v v))) (*.f32 (/.f32 (sqrt.f32 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(neg.f32 sinTheta_i) -1) v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) -1) v)) 1) 1))))))

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

715×	`cancel-sign-sub-inv_binary32`
711×	`fma-neg_binary32`
487×	`distribute-neg-frac_binary32`
484×	`times-frac_binary32`
341×	`associate-/l*_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	1308
1	168	1194
2	594	1154
3	3642	1014
4	5782	1010

Stop Event

1×	node limit

Counts

258 → 208

Calls

Call 1

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

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

localize97.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	0.0b	(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
	0.0b	(*.f32 cosTheta_i cosTheta_O)
	0.0b	(.f32 (pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))
✓	0.0b	(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
✓	0.1b	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
✓	0.1b	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
	7.4b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

series32.0ms (0.2%)

Counts

3 → 57

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
1.0ms	v	@	inf	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
1.0ms	cosTheta_i	@	0	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
1.0ms	v	@	-inf	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
1.0ms	cosTheta_O	@	0	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))

rewrite121.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`log-prod_binary32`
456×	`fma-def_binary32`
299×	`fma-neg_binary32`
252×	`expm1-udef_binary32`
252×	`log1p-udef_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	294	38
2	4211	32

Stop Event

1×	node limit

Counts

3 → 275

Calls

Call 1

Inputs

(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))

(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))) (cbrt.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (exp.f32 (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (pow.f32 (E.f32) (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 2/3) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (pow.f32 (exp.f32 1/3) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1/2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (pow.f32 (exp.f32 1/2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (exp.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))) (neg.f32 (exp.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 48038761/100000000 (-.f32 6931/10000 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) (/.f32 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2) (-.f32 6931/10000 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (cbrt.f32 (pow.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (log.f32 (pow.f32 (E.f32) (cbrt.f32 (pow.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000) 2)) (cbrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (sqrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (log.f32 (pow.f32 (E.f32) (sqrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 332956652491/1000000000000 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 3)) (/.f32 1 (fma.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000) 48038761/100000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 48038761/100000000 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2)) (/.f32 1 (-.f32 6931/10000 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simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

714×	`distribute-rgt-in_binary32`
697×	`times-frac_binary32`
489×	`associate-/l*_binary32`
364×	`associate-r_binary32`
320×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1033
1	250	1014
2	860	992
3	5485	900

Stop Event

1×	node limit

Counts

332 → 303

Calls

Call 1

Inputs
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (*.f32 (pow.f32 cosTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (pow.f32 cosTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (pow.f32 cosTheta_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 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (*.f32 (pow.f32 cosTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
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(exp.f32 6931/10000)
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(exp.f32 6931/10000)
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6931/10000
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
6931/10000
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
6931/10000
6931/10000
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
6931/10000
6931/10000
(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v)))
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(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v)))

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

localize89.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(log.f32 (/.f32 1/2 v))
	0.0b	(/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v)
	0.0b	(*.f32 cosTheta_i cosTheta_O)
	0.0b	(*.f32 sinTheta_i sinTheta_O)
✓	0.1b	(+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
✓	0.1b	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	0.1b	(cbrt.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
✓	0.7b	(pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3)

series96.0ms (0.7%)

Counts

4 → 156

Calls

57 calls:

Time	Variable		Point	Expression
31.0ms	sinTheta_i	@	0	(pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3)
10.0ms	v	@	-inf	(pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3)
7.0ms	v	@	inf	(pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3)
5.0ms	cosTheta_i	@	0	(pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3)
4.0ms	sinTheta_O	@	0	(pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3)

rewrite200.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`fma-neg_binary32`
400×	`expm1-udef_binary32`
400×	`log1p-udef_binary32`
236×	`add-sqr-sqrt_binary32`
225×	`pow1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	93
1	487	87
2	6533	87

Stop Event

1×	node limit

Counts

4 → 253

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3)
(cbrt.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
(+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/10000) (log.f32 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/10000) 1) (log.f32 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) (log.f32 (/.f32 1/2 v))) 6931/10000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) 2) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (/.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (-.f32 (/.f32 (-.f32 (.f32 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simplify255.0ms (2%)

Algorithm

1×	egg-herbie

Rules

800×	`associate-r_binary32`
690×	`associate-l_binary32`
649×	`fma-def_binary32`
286×	`associate-+l+_binary32`
242×	`*-commutative_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	570	15187
1	2124	13452

Stop Event

1×	node limit

Counts

409 → 290

Calls

Call 1

Inputs
(.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 1 1/3))
(+.f32 (.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 1 1/3)) (.f32 cosTheta_i (+.f32 (.f32 2/3 (.f32 (/.f32 cosTheta_O v) (pow.f32 (.f32 (pow.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) 4) 1) 1/9))) (.f32 1/3 (.f32 (/.f32 cosTheta_O v) (pow.f32 (.f32 (pow.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) 4) 1) 1/9))))))
(+.f32 (.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 1 1/3)) (+.f32 (.f32 (+.f32 (.f32 2/9 (.f32 (/.f32 (pow.f32 cosTheta_O 2) (pow.f32 v 2)) (pow.f32 (/.f32 1 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) 1/9))) (+.f32 (.f32 (pow.f32 (.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) 1) 1/3) (+.f32 (.f32 1/9 (.f32 (/.f32 (pow.f32 cosTheta_O 2) (pow.f32 v 2)) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) 4)) 1/9))) (.f32 -2/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) 4)) 1/9) (/.f32 (pow.f32 cosTheta_O 2) (pow.f32 v 2)))))) (.f32 -1/9 (.f32 (/.f32 (pow.f32 cosTheta_O 2) (pow.f32 v 2)) (pow.f32 (/.f32 1 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) 1/9))))) (pow.f32 cosTheta_i 2)) (.f32 cosTheta_i (+.f32 (.f32 2/3 (.f32 (/.f32 cosTheta_O v) (pow.f32 (.f32 (pow.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) 4) 1) 1/9))) (.f32 1/3 (.f32 (/.f32 cosTheta_O v) (pow.f32 (.f32 (pow.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) 4) 1) 1/9)))))))
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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Outputs
(.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 1 1/3))
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(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(neg.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(-.f32 (+.f32 6931/10000 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(-.f32 (+.f32 6931/10000 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(-.f32 (+.f32 6931/10000 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(neg.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(-.f32 (+.f32 6931/10000 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(-.f32 (+.f32 6931/10000 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(-.f32 (+.f32 6931/10000 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)
(-.f32 (+.f32 (.f32 -1 (log.f32 v)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (fma.f32 -1 (log.f32 v) (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 1/2)))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(-.f32 (-.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 1/2))) (log.f32 v)) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(-.f32 (+.f32 (.f32 -1 (log.f32 v)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (fma.f32 -1 (log.f32 v) (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 1/2)))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(-.f32 (-.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 1/2))) (log.f32 v)) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(-.f32 (+.f32 (.f32 -1 (log.f32 v)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (fma.f32 -1 (log.f32 v) (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 1/2)))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(-.f32 (-.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 1/2))) (log.f32 v)) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (neg.f32 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (fma.f32 -1 (log.f32 v) (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 1/2)))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(-.f32 (-.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 1/2))) (log.f32 v)) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (fma.f32 -1 (log.f32 v) (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 1/2)))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(-.f32 (-.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 1/2))) (log.f32 v)) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (fma.f32 -1 (log.f32 v) (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 1/2)))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(-.f32 (-.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 1/2))) (log.f32 v)) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(+.f32 (+.f32 (log.f32 (/.f32 -1 v)) 6931/10000) (log.f32 -1/2))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(+.f32 (log.f32 -1/2) (-.f32 (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 -1 v)))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(-.f32 (+.f32 (+.f32 6931/10000 (log.f32 -1/2)) (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 -1 v))) (/.f32 1 v))) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(+.f32 (log.f32 -1/2) (-.f32 (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 -1 v)))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(-.f32 (+.f32 (+.f32 6931/10000 (log.f32 -1/2)) (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 -1 v))) (/.f32 1 v))) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(+.f32 (log.f32 -1/2) (-.f32 (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 -1 v)))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(-.f32 (+.f32 (+.f32 6931/10000 (log.f32 -1/2)) (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 -1 v))) (/.f32 1 v))) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))

eval1.4s (10.9%)

Compiler: Compiled 42477 to 28001 computations (34.1% saved)

prune282.0ms (2.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	1235	11	1246
Fresh	5	2	7
Picked	1	0	1
Done	3	1	4
Total	1244	14	1258

Error

0.0b

Counts

1258 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(exp.f32 (/.f32 -1 v))
▶	0.1b	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
	0.1b	(pow.f32 (cbrt.f32 (/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3)
	0.1b	(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))) 2))) (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
▶	30.0b	(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	0.3b	(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))) 3) 1/3)
	0.1b	(*.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
	4.1b	(.f32 (.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (E.f32) (fma.f32 (neg.f32 (/.f32 1 (cbrt.f32 v))) (cbrt.f32 (pow.f32 v -2)) (/.f32 1 v))))
▶	0.2b	(*.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
✓	0.1b	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	0.1b	(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
	29.9b	1
▶	0.1b	(exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 3))
▶	0.1b	(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 1 v)))

Compiler

Compiled 534 to 444 computations (16.9% saved)

localize30.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

series4.0ms (0%)

Counts

3 → 23

Calls

9 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

443×	`log-prod_binary32`
350×	`exp-prod_binary32`
285×	`prod-exp_binary32`
258×	`pow2_binary32`
255×	`pow-prod-down_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	216	31
2	2655	31

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

737×	`cancel-sign-sub-inv_binary32`
690×	`fma-neg_binary32`
485×	`associate-l_binary32`
395×	`fma-def_binary32`
353×	`associate-/r/_binary32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	45	432
1	119	426
2	282	376
3	783	350
4	2815	350
5	6357	346

Stop Event

1×	node limit

Counts

177 → 173

Calls

Call 1

Inputs
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(/.f32 -1 v)
6931/10000
6931/10000
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.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 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))

Outputs
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (exp.f32 6931/10000))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (exp.f32 6931/10000)))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (exp.f32 6931/10000)) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (exp.f32 6931/10000) (*.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 1/2 v) -1)))
(fma.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 -1 (/.f32 1/2 v)) (exp.f32 6931/10000))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (exp.f32 6931/10000))))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (exp.f32 6931/10000))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (+.f32 1/2 (/.f32 -1/6 v))) (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (exp.f32 6931/10000) (.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (+.f32 -1 (/.f32 1/2 v)) (/.f32 -1/6 (.f32 v v)))))
(fma.f32 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (+.f32 1/2 (/.f32 -1/6 v)) (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 -1 (+.f32 (/.f32 -1/6 (*.f32 v v)) (/.f32 1/2 v))) (exp.f32 6931/10000))
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (exp.f32 6931/10000))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (exp.f32 6931/10000)))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (exp.f32 6931/10000)) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (exp.f32 6931/10000) (*.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 1/2 v) -1)))
(fma.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 -1 (/.f32 1/2 v)) (exp.f32 6931/10000))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (exp.f32 6931/10000))))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (exp.f32 6931/10000))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (+.f32 1/2 (/.f32 -1/6 v))) (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (exp.f32 6931/10000) (.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (+.f32 -1 (/.f32 1/2 v)) (/.f32 -1/6 (.f32 v v)))))
(fma.f32 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (+.f32 1/2 (/.f32 -1/6 v)) (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 -1 (+.f32 (/.f32 -1/6 (*.f32 v v)) (/.f32 1/2 v))) (exp.f32 6931/10000))
(/.f32 -1 v)
6931/10000
6931/10000
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 1/2 (*.f32 v (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 1/2 (*.f32 v (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 1/2 (*.f32 v (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(/.f32 1/2 (*.f32 v (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2))
(fma.f32 (/.f32 (exp.f32 6931/10000) v) 1/2 (.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2))
(*.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 1/2 (/.f32 -1/2 v)))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2)))
(fma.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/4 (fma.f32 (/.f32 (exp.f32 6931/10000) v) 1/2 (.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2)))
(fma.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/4 (*.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 1/2 (/.f32 -1/2 v))))
(.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 1/2 (+.f32 (/.f32 -1/2 v) (/.f32 1/4 (.f32 v v)))))
(.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 1/4 (.f32 v v)) (+.f32 1/2 (/.f32 -1/2 v))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(fma.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/4 (fma.f32 (/.f32 (exp.f32 6931/10000) v) 1/2 (fma.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2 (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(fma.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/4 (fma.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 1/2 (/.f32 -1/2 v)))))
(fma.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 1/2 (/.f32 -1/2 v)) (*.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (+.f32 1/4 (/.f32 -1/12 v))))
(.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 -1/12 (pow.f32 v 3)) (+.f32 (/.f32 1/4 (.f32 v v)) (+.f32 1/2 (/.f32 -1/2 v)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2))
(fma.f32 (/.f32 (exp.f32 6931/10000) v) 1/2 (.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2))
(*.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 1/2 (/.f32 -1/2 v)))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2)))
(fma.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/4 (fma.f32 (/.f32 (exp.f32 6931/10000) v) 1/2 (.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2)))
(fma.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/4 (*.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 1/2 (/.f32 -1/2 v))))
(.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 1/2 (+.f32 (/.f32 -1/2 v) (/.f32 1/4 (.f32 v v)))))
(.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 1/4 (.f32 v v)) (+.f32 1/2 (/.f32 -1/2 v))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(fma.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/4 (fma.f32 (/.f32 (exp.f32 6931/10000) v) 1/2 (fma.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2 (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(fma.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 1/4 (fma.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 1/2 (/.f32 -1/2 v)))))
(fma.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 1/2 (/.f32 -1/2 v)) (*.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (+.f32 1/4 (/.f32 -1/12 v))))
(.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 -1/12 (pow.f32 v 3)) (+.f32 (/.f32 1/4 (.f32 v v)) (+.f32 1/2 (/.f32 -1/2 v)))))

localize26.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	7.4b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
	0.0b	(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	0.0b	(*.f32 cosTheta_i cosTheta_O)
	0.0b	(*.f32 cosTheta_i cosTheta_O)
✓	0.0b	(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	7.4b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

series3.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`pow1_binary32`
883×	`add-log-exp_binary32`
883×	`log1p-expm1-u_binary32`
883×	`expm1-log1p-u_binary32`
865×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	168	10
2	2325	10

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (-.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) (/.f32 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2) (-.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) (pow.f32 (cbrt.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) 2) (cbrt.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) (sqrt.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 3)) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2)) (/.f32 1 (-.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (-.f32 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) (+.f32 1 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (-.f32 1 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 3)) (+.f32 1 (-.f32 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 3)) (+.f32 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2) (-.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2)) (-.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 1 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 3))) (neg.f32 (+.f32 1 (-.f32 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2))) (neg.f32 (-.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2) 1) (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 1 v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) 2) (cbrt.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (sqrt.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log1p.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary32`
2×	`associate-/l*_binary32`
2×	`associate-/r/_binary32`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	39
1	12	39
2	16	39
3	19	39
4	20	39

Stop Event

1×

saturated

Counts

40 → 34

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.4b	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	0.1b	(exp.f32 (/.f32 1 v))
	0.0b	(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 1 v)))
✓	0.0b	(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 1 v)))
✓	0.1b	(exp.f32 (/.f32 1 v))
✓	0.4b	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))

series4.0ms (0%)

Counts

3 → 32

Calls

9 calls:

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

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary32`
416×	`exp-prod_binary32`
306×	`pow-prod-down_binary32`
272×	`pow2_binary32`
192×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	227	30
2	2845	30

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 1/2) (/.f32 (exp.f32 6931/10000) v))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 1/2) (/.f32 (exp.f32 6931/10000) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 1/2) (/.f32 (exp.f32 6931/10000) v)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 1/2) (/.f32 (exp.f32 6931/10000) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 v (exp.f32 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 6931/10000) (*.f32 v 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 v (*.f32 1/2 (exp.f32 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/2 (exp.f32 6931/10000)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 1/2 (exp.f32 6931/10000))) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 1/2 (exp.f32 6931/10000)) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 1/2 (exp.f32 6931/10000)) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 1/2 (exp.f32 6931/10000)) (sqrt.f32 v)) (sqrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -1/2 (exp.f32 6931/10000)) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 6931/10000) -1/2) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (exp.f32 6931/5000) (pow.f32 (/.f32 1/2 v) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (exp.f32 20793/10000) (pow.f32 (/.f32 1/2 v) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (exp.f32 6931/30000) (cbrt.f32 (/.f32 1/2 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (exp.f32 6931/20000) (sqrt.f32 (/.f32 1/2 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 v (*.f32 1/2 (exp.f32 6931/10000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2)) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (exp.f32 6931/5000) (pow.f32 (/.f32 1/2 v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 1/2) (/.f32 (exp.f32 6931/10000) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (exp.f32 20793/10000) (pow.f32 (/.f32 1/2 v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (+.f32 (log.f32 (cbrt.f32 (/.f32 1/2 v))) 6931/30000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 1/2 v))) 6931/20000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1) 1))))))

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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 v) (/.f32 1 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (exp.f32 (neg.f32 (/.f32 1 v)))))))) (#(struct:change 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(/.f32 1/2 v) (exp.f32 6931/10000)) (cbrt.f32 (exp.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (*.f32 (exp.f32 6931/5000) (pow.f32 (/.f32 1/2 v) 2))) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) 4))) (cbrt.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (exp.f32 6931/20000) (sqrt.f32 (/.f32 1/2 v))) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) 4))) (/.f32 (*.f32 (exp.f32 6931/20000) (sqrt.f32 (/.f32 1/2 v))) (cbrt.f32 (exp.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1/2 v))) (/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1/2 v))) (/.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (exp.f32 (/.f32 1/2 v))) (/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (*.f32 (exp.f32 6931/5000) (pow.f32 (/.f32 1/2 v) 2))) (exp.f32 (/.f32 1/2 v))) (/.f32 (*.f32 (exp.f32 6931/30000) (cbrt.f32 (/.f32 1/2 v))) (exp.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 v 2) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 v 2) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (*.f32 (exp.f32 20793/10000) (pow.f32 (/.f32 1/2 v) 3)) (pow.f32 (exp.f32 (/.f32 1 v)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (*.f32 (*.f32 v 2) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) (*.f32 v 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 2)) (cbrt.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) (sqrt.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (neg.f32 (exp.f32 (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (*.f32 v 2) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (*.f32 (exp.f32 20793/10000) (pow.f32 (/.f32 1/2 v) 3)) (pow.f32 (exp.f32 (/.f32 1 v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 1/2 (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/3 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (-.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 1/2 v))) 6931/20000) (/.f32 1/2 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 v 2)) (-.f32 (/.f32 1 v) 6931/10000)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)) 1) 1))))))

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

819×	`associate-/l*_binary32`
586×	`associate-/r*_binary32`
301×	`associate-r_binary32`
298×	`div-sub_binary32`
297×	`associate-*l/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	534
1	162	518
2	502	456
3	1801	438

Stop Event

1×	node limit

Counts

174 → 158

Calls

Call 1

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

Outputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
1
(+.f32 1 (/.f32 1 v))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) (+.f32 1 (/.f32 1 v)))
(+.f32 (+.f32 1 (/.f32 1 v)) (/.f32 1/2 (*.f32 v v)))
(+.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/2 (*.f32 v v))))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (+.f32 1 (/.f32 1 v))))
(+.f32 (+.f32 (/.f32 1/6 (pow.f32 v 3)) (/.f32 1/2 (*.f32 v v))) (+.f32 1 (/.f32 1 v)))
(+.f32 (/.f32 1/2 (*.f32 v v)) (+.f32 (+.f32 1 (/.f32 1 v)) (/.f32 1/6 (pow.f32 v 3))))
(+.f32 1 (+.f32 (+.f32 (/.f32 1 v) (/.f32 1/2 (*.f32 v v))) (/.f32 1/6 (pow.f32 v 3))))
1
(+.f32 1 (/.f32 1 v))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) (+.f32 1 (/.f32 1 v)))
(+.f32 (+.f32 1 (/.f32 1 v)) (/.f32 1/2 (*.f32 v v)))
(+.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/2 (*.f32 v v))))
(+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (+.f32 1 (/.f32 1 v))))
(+.f32 (+.f32 (/.f32 1/6 (pow.f32 v 3)) (/.f32 1/2 (*.f32 v v))) (+.f32 1 (/.f32 1 v)))
(+.f32 (/.f32 1/2 (*.f32 v v)) (+.f32 (+.f32 1 (/.f32 1 v)) (/.f32 1/6 (pow.f32 v 3))))
(+.f32 1 (+.f32 (+.f32 (/.f32 1 v) (/.f32 1/2 (*.f32 v v))) (/.f32 1/6 (pow.f32 v 3))))
(.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.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 (exp.f32 6931/10000) (pow.f32 v 2))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 -1/2 v)))
(*.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 -1/2 v) 1/2))
(*.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 1/2 (/.f32 -1/2 v)))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (*.f32 1/2 (exp.f32 6931/10000))) (pow.f32 v 3)))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (.f32 -1/2 (+.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (/.f32 (*.f32 (exp.f32 6931/10000) -1/2) (pow.f32 v 3)))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (/.f32 (.f32 1/4 (exp.f32 6931/10000)) (pow.f32 v 3))))
(+.f32 (/.f32 (.f32 (exp.f32 6931/10000) 1/4) (pow.f32 v 3)) (.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 -1/2 v) 1/2)))
(.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 1/4 (.f32 v v)) (+.f32 1/2 (/.f32 -1/2 v))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 -1/2 (exp.f32 6931/10000)) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (.f32 1/2 (exp.f32 6931/10000)))) (.f32 1/6 (exp.f32 6931/10000)))) (pow.f32 v 4))) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (*.f32 1/2 (exp.f32 6931/10000))) (pow.f32 v 3))))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/2 (/.f32 (fma.f32 -1/2 (exp.f32 6931/10000) (fma.f32 -1 (.f32 (exp.f32 6931/10000) -1/2) (.f32 (exp.f32 6931/10000) 1/6))) (pow.f32 v 4)) (.f32 -1/2 (+.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (/.f32 (*.f32 (exp.f32 6931/10000) -1/2) (pow.f32 v 3))))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/2 (/.f32 (+.f32 (.f32 (exp.f32 6931/10000) 1/6) (.f32 0 (.f32 (exp.f32 6931/10000) -1/2))) (pow.f32 v 4)) (fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (/.f32 (*.f32 1/4 (exp.f32 6931/10000)) (pow.f32 v 3)))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/2 (.f32 (+.f32 (/.f32 -1/2 v) 1) (/.f32 (exp.f32 6931/10000) (.f32 v v))) (/.f32 (*.f32 (exp.f32 6931/10000) -1/12) (pow.f32 v 4))))
(+.f32 (/.f32 (.f32 (exp.f32 6931/10000) -1/12) (pow.f32 v 4)) (.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 1/4 (*.f32 v v)) (+.f32 1/2 (/.f32 -1/2 v)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 -1/2 v)))
(*.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 -1/2 v) 1/2))
(*.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 1/2 (/.f32 -1/2 v)))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (*.f32 1/2 (exp.f32 6931/10000))) (pow.f32 v 3)))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (.f32 -1/2 (+.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (/.f32 (*.f32 (exp.f32 6931/10000) -1/2) (pow.f32 v 3)))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (/.f32 (.f32 1/4 (exp.f32 6931/10000)) (pow.f32 v 3))))
(+.f32 (/.f32 (.f32 (exp.f32 6931/10000) 1/4) (pow.f32 v 3)) (.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 -1/2 v) 1/2)))
(.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 1/4 (.f32 v v)) (+.f32 1/2 (/.f32 -1/2 v))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1/6 (exp.f32 6931/10000)) (+.f32 (.f32 -1 (exp.f32 6931/10000)) (exp.f32 6931/10000))) (pow.f32 v 4))) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (.f32 1/2 (exp.f32 6931/10000))) (pow.f32 v 3))))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/2 (/.f32 (fma.f32 -1/2 (exp.f32 6931/10000) (fma.f32 -1 (.f32 (exp.f32 6931/10000) -1/2) (.f32 (exp.f32 6931/10000) 1/6))) (pow.f32 v 4)) (.f32 -1/2 (+.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (/.f32 (*.f32 (exp.f32 6931/10000) -1/2) (pow.f32 v 3))))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/2 (/.f32 (+.f32 (.f32 (exp.f32 6931/10000) 1/6) (.f32 0 (.f32 (exp.f32 6931/10000) -1/2))) (pow.f32 v 4)) (fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (/.f32 (*.f32 1/4 (exp.f32 6931/10000)) (pow.f32 v 3)))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/2 (.f32 (+.f32 (/.f32 -1/2 v) 1) (/.f32 (exp.f32 6931/10000) (.f32 v v))) (/.f32 (*.f32 (exp.f32 6931/10000) -1/12) (pow.f32 v 4))))
(+.f32 (/.f32 (.f32 (exp.f32 6931/10000) -1/12) (pow.f32 v 4)) (.f32 (/.f32 (exp.f32 6931/10000) v) (+.f32 (/.f32 1/4 (*.f32 v v)) (+.f32 1/2 (/.f32 -1/2 v)))))

localize38.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))
	0.0b	(exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 3))
	0.0b	(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))
	0.0b	(log.f32 (/.f32 1/2 v))
✓	0.0b	(exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 3))
✓	0.1b	(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))
✓	0.1b	(cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
✓	0.7b	(pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 3)

series31.0ms (0.2%)

Counts

4 → 37

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	v	@	-inf	(pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 3)
8.0ms	v	@	inf	(pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 3)
6.0ms	v	@	-inf	(exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 3))
3.0ms	v	@	inf	(exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 3))
1.0ms	v	@	-inf	(cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`prod-diff_binary32`
565×	`log-prod_binary32`
326×	`fma-def_binary32`
241×	`expm1-udef_binary32`
241×	`log1p-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	311	64
2	3698	64

Stop Event

1×	node limit

Counts

4 → 194

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 3)
(cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))
(exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 6931/10000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))) (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 2 (.f32 1/3 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)))) (.f32 1/3 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/3 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))) (.f32 2 (.f32 1/3 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1) (/.f32 -1 v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 6931/10000 (/.f32 -1 v)) (log.f32 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 48038761/100000000 (-.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v))) (/.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 2) (-.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))) (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 3 (.f32 1/3 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))) 2) (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)))) 2) (.f32 (cbrt.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)))) (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)) 1/6) (.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)) 1/6) (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))) (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/3 (.f32 3 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 332956652491/1000000000000 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 3)) (/.f32 1 (fma.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 6931/10000) 48038761/100000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 48038761/100000000 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 2)) (/.f32 1 (-.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 1/2 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))) 2) 1) (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)))) 2)) (cbrt.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))) 2) (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)) 1/6)) (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 6931/10000) 48038761/100000000) (+.f32 332956652491/1000000000000 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v)) (-.f32 48038761/100000000 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 332956652491/1000000000000 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 3)) (fma.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 6931/10000) 48038761/100000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 332956652491/1000000000000 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 3)) (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 2) (-.f32 48038761/100000000 (.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 48038761/100000000 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 2)) (-.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 3))) (neg.f32 (fma.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 6931/10000) 48038761/100000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 2))) (neg.f32 (-.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (/.f32 -1 (pow.f32 v 3))) (fma.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 1 (.f32 v v)) (.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 2) 48038761/100000000) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 (.f32 v v)))) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 6931/10000) (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (+.f32 1 (expm1.f32 (/.f32 -1 v))) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (+.f32 1 (expm1.f32 (/.f32 -1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (log.f32 (/.f32 1/2 v)) 1 (+.f32 (/.f32 -1 v) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 -1 v) 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 1 6931/10000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 6931/10000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 -1 (cbrt.f32 v)) (pow.f32 (/.f32 -1 (cbrt.f32 v)) 2) (+.f32 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simplify172.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

698×	`times-frac_binary32`
477×	`associate-/l*_binary32`
389×	`associate-/r*_binary32`
344×	`fma-def_binary32`
296×	`associate-*l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	7451
1	1221	6544
2	4252	5856

Stop Event

1×	node limit

Counts

231 → 190

Calls

Call 1

Inputs
(*.f32 (pow.f32 1 1/3) (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))))
(+.f32 (.f32 -2/3 (.f32 (/.f32 1 v) (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9))) (+.f32 (.f32 -1/3 (.f32 (/.f32 1 v) (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9))) (*.f32 (pow.f32 1 1/3) (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))))))
(+.f32 (.f32 -1/3 (.f32 (/.f32 1 v) (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9))) (+.f32 (.f32 -2/3 (.f32 (/.f32 1 v) (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)) (.f32 -2/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9))) (pow.f32 v 2)) (pow.f32 (.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/3)) (+.f32 (.f32 2/9 (.f32 (/.f32 1 (pow.f32 v 2)) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/9))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (.f32 -1/9 (*.f32 (/.f32 1 (pow.f32 v 2)) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/9))))))))
(+.f32 (.f32 -1/3 (.f32 (/.f32 1 v) (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9))) (+.f32 (.f32 -2/3 (.f32 (/.f32 1 v) (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)) (.f32 -2/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9))) (pow.f32 v 2)) (pow.f32 (.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/3)) (+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 2)) 1/3)) (.f32 2/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 2)) 1/3)))) (pow.f32 v 3)) (pow.f32 1 1/3))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 2/27 (.f32 (pow.f32 1 1/9) (/.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))))) (.f32 -2/3 (.f32 (+.f32 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 2)) 1/3)) (.f32 2/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 2)) 1/3)))) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/3)))) (pow.f32 v 3)) (pow.f32 (.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/3)) (+.f32 (.f32 2/27 (.f32 (/.f32 1 (pow.f32 v 3)) (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 2)) 1/3)))) (+.f32 (.f32 2/9 (.f32 (/.f32 1 (pow.f32 v 2)) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/9))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (+.f32 (.f32 -1/9 (.f32 (/.f32 1 (pow.f32 v 2)) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/9))) (.f32 -1/3 (.f32 (/.f32 (+.f32 (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)) (.f32 -2/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9))) (pow.f32 v 3)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 2)) 1/9))))))))))))
(pow.f32 (*.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 2) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) 1/3)
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 4)) 1/9)) (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 1 4) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) 1/9) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 1/3)))) v)) (pow.f32 (*.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 2) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) 1/3))
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(pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 1/3)
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(pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 1/3)
(+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 1/3) (.f32 -1/3 (.f32 (/.f32 1 v) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/9))))
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(/.f32 -1 v)
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
1
(exp.f32 (*.f32 (pow.f32 1 1/3) (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))))
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(+.f32 (/.f32 (.f32 (exp.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))))) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/3) (+.f32 (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)) (.f32 -2/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)))) (+.f32 (.f32 1/2 (pow.f32 (+.f32 (.f32 -1/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)) (.f32 -2/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9))) 2)) (+.f32 (.f32 2/9 (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/9)) (.f32 -1/9 (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/9)))))) (pow.f32 v 2)) (+.f32 (exp.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))))) (+.f32 (/.f32 (.f32 (exp.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))))) (+.f32 (.f32 1/6 (pow.f32 (+.f32 (.f32 -1/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)) (.f32 -2/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9))) 3)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 2)) 1/9) (+.f32 (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)) (.f32 -2/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9))))) (+.f32 (.f32 (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/3) (+.f32 (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)) (.f32 -2/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)))) (+.f32 (.f32 -1/9 (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/9)) (.f32 2/9 (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/9)))) (+.f32 (.f32 -1/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)) (.f32 -2/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)))) (+.f32 (.f32 2/27 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 2)) 1/3))) (+.f32 (.f32 -1/3 (.f32 (+.f32 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 2)) 1/3)) (.f32 2/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 2)) 1/3)))) (pow.f32 1 1/3))) (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/3) (+.f32 (.f32 2/27 (.f32 (pow.f32 1 1/9) (/.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))))) (.f32 -2/3 (.f32 (+.f32 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 2)) 1/3)) (.f32 2/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 2)) 1/3)))) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) 1/3))))))))))) (pow.f32 v 3)) (/.f32 (.f32 (exp.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))))) (+.f32 (.f32 -1/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)) (.f32 -2/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) 4)) 1/9)))) v))))
(exp.f32 (pow.f32 (*.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/3))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 1 4) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/9) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/3))) (.f32 1/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/9))) (exp.f32 (pow.f32 (.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/3))) v)) (exp.f32 (pow.f32 (*.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/3)))
(+.f32 (/.f32 (.f32 (+.f32 (.f32 1/2 (pow.f32 (+.f32 (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 1 4) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/9) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/3))) (.f32 1/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/9))) 2)) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/3) (+.f32 (.f32 -2/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) 1/9) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 4)) 1/9)))) (+.f32 (.f32 -1/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 4)) 1/9) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/3))) (.f32 2/9 (pow.f32 (/.f32 (.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 2)) 1/9))))) (exp.f32 (pow.f32 (.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/3))) (pow.f32 v 2)) (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 1 4) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/9) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/3))) (.f32 1/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/9))) (exp.f32 (pow.f32 (.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/3))) v)) (exp.f32 (pow.f32 (.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/3))))
(+.f32 (/.f32 (.f32 (+.f32 (.f32 1/2 (pow.f32 (+.f32 (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 1 4) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/9) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/3))) (.f32 1/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/9))) 2)) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/3) (+.f32 (.f32 -2/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) 1/9) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 4)) 1/9)))) (+.f32 (.f32 -1/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 4)) 1/9) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/3))) (.f32 2/9 (pow.f32 (/.f32 (.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 2)) 1/9))))) (exp.f32 (pow.f32 (.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/3))) (pow.f32 v 2)) (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 1 4) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/9) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/3))) (.f32 1/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/9))) (exp.f32 (pow.f32 (.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/3))) v)) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 (pow.f32 (.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/3)) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/9) (+.f32 (.f32 -2/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) 1/9) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 4)) 1/9))))) (+.f32 (.f32 -2/27 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 2)) 1/3))) (+.f32 (.f32 1/6 (pow.f32 (+.f32 (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 1 4) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/9) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/3))) (.f32 1/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/9))) 3)) (+.f32 (.f32 -1/3 (.f32 (+.f32 (.f32 1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 2)) 1/3)) (.f32 -2/9 (pow.f32 (/.f32 1 (.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 5) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))))) 1/9))) (pow.f32 1 1/3))) (+.f32 (.f32 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 (.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 2)) 1/3) (+.f32 (.f32 -2/9 (pow.f32 (/.f32 1 (.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 5))) 1/9)) (.f32 1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/3))))) (.f32 -2/27 (pow.f32 (/.f32 1 (.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 5) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4))) 1/9))) (pow.f32 (.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/3)) (.f32 (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/3) (+.f32 (.f32 -2/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) 1/9) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 4)) 1/9)))) (+.f32 (.f32 -1/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 4)) 1/9) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/3))) (.f32 2/9 (pow.f32 (/.f32 (.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) 2)) 1/9)))) (+.f32 (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 1 4) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) 1/9) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/3))) (.f32 1/3 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/9)))))))))) (pow.f32 v 3))) (exp.f32 (pow.f32 (.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/3)))))

Outputs
(*.f32 (pow.f32 1 1/3) (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))))
(fma.f32 -1 (log.f32 v) (+.f32 6931/10000 (log.f32 1/2)))
(-.f32 (+.f32 6931/10000 (log.f32 1/2)) (log.f32 v))
(+.f32 6931/10000 (-.f32 (log.f32 1/2) (log.f32 v)))
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(-.f32 (fma.f32 -1 (log.f32 v) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(+.f32 (-.f32 (+.f32 6931/10000 (log.f32 1/2)) (log.f32 v)) (/.f32 -1 v))
(-.f32 (+.f32 6931/10000 (log.f32 1/2)) (+.f32 (log.f32 v) (/.f32 1 v)))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (fma.f32 -1 (log.f32 v) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(+.f32 (-.f32 (+.f32 6931/10000 (log.f32 1/2)) (log.f32 v)) (/.f32 -1 v))
(-.f32 (+.f32 6931/10000 (log.f32 1/2)) (+.f32 (log.f32 v) (/.f32 1 v)))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (fma.f32 -1 (log.f32 v) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(+.f32 (-.f32 (+.f32 6931/10000 (log.f32 1/2)) (log.f32 v)) (/.f32 -1 v))
(-.f32 (+.f32 6931/10000 (log.f32 1/2)) (+.f32 (log.f32 v) (/.f32 1 v)))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))))
(cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 3))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 -1 v)) (-.f32 (+.f32 6931/10000 (log.f32 -1/2)) (/.f32 1 v)))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (/.f32 -1 v))))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 -1 v)) (-.f32 (+.f32 6931/10000 (log.f32 -1/2)) (/.f32 1 v)))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (/.f32 -1 v))))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 -1 v)) (-.f32 (+.f32 6931/10000 (log.f32 -1/2)) (/.f32 1 v)))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (/.f32 -1 v))))
1
(exp.f32 (*.f32 (pow.f32 1 1/3) (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))))
(exp.f32 (fma.f32 -1 (log.f32 v) (+.f32 6931/10000 (log.f32 1/2))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 1/2)) (log.f32 v)))
(*.f32 1/2 (exp.f32 (-.f32 6931/10000 (log.f32 v))))
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(exp.f32 (cbrt.f32 (*.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2) (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))))))
(exp.f32 (cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 3)))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))))
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(-.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 3))) (.f32 (/.f32 (fma.f32 1/3 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4) 1/18)) (.f32 2/3 (.f32 (*.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/18) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/18)) (cbrt.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))))))) v) (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 3)))))
(-.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) (.f32 (/.f32 (fma.f32 1/3 (.f32 (pow.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4) 1/18)) (.f32 (.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 1/18) (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 1/18)) (*.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 2/3))) v) (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))))))
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(cbrt.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2))) (fma.f32 1/6 (pow.f32 (fma.f32 1/3 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4) 1/18)) (.f32 2/3 (.f32 (.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/18) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/18)) (cbrt.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))))))) 3) (fma.f32 -1/3 (fma.f32 -2/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 6)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 6)) 1/18)) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2))) 1/27)) (fma.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) (fma.f32 -2/3 (.f32 (fma.f32 -2/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 6)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 6)) 1/18)) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2))) 1/27)) (cbrt.f32 (/.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)))) (.f32 -2/27 (.f32 (pow.f32 (/.f32 1 (.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 5))) 1/18) (pow.f32 (/.f32 1 (.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 5))) 1/18)))) (.f32 (fma.f32 1/3 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4) 1/18)) (.f32 2/3 (.f32 (.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/18) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/18)) (cbrt.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))))))) (+.f32 (.f32 2/9 (.f32 (pow.f32 (/.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/18) (pow.f32 (/.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/18))) (.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) (+.f32 (fma.f32 -2/9 (.f32 (.f32 (cbrt.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))))) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) 1/18)) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) 1/18)) (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/18) (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/18) 1/9))) (.f32 -1/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/18)))))))))))))) (-.f32 (.f32 (/.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 3))) v) (/.f32 (fma.f32 1/2 (pow.f32 (fma.f32 1/3 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4) 1/18)) (.f32 2/3 (.f32 (.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/18) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/18)) (cbrt.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))))))) 2) (+.f32 (.f32 2/9 (.f32 (pow.f32 (/.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/18) (pow.f32 (/.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 2)) 1/18))) (.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) (+.f32 (fma.f32 -2/9 (.f32 (.f32 (cbrt.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))))) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) 1/18)) (pow.f32 (/.f32 1 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))) 1/18)) (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/18) (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/18) 1/9))) (.f32 -1/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4)) 1/18))))))) v)) (.f32 (/.f32 (fma.f32 1/3 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 4) 1/18)) (.f32 2/3 (.f32 (*.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/18) (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 1/18)) (cbrt.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))))))) v) (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))) 3))))))
(+.f32 (-.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) (.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) (pow.f32 v 3)) (fma.f32 1/3 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 2)) 1/18)) (fma.f32 1/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4)) 1/18)) (.f32 -2/9 (.f32 (cbrt.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))))) (.f32 (pow.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 1/18) (pow.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 1/18)))))) (fma.f32 -2/27 (cbrt.f32 (/.f32 1 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 2))) (fma.f32 1/6 (pow.f32 (fma.f32 1/3 (.f32 (pow.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4) 1/18)) (.f32 (.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 1/18) (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 1/18)) (.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 2/3))) 3) (+.f32 (.f32 (fma.f32 1/3 (.f32 (pow.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4) 1/18)) (.f32 (.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 1/18) (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 1/18)) (.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 2/3))) (+.f32 (.f32 2/9 (.f32 (pow.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 1/18) (pow.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 1/18))) (+.f32 (.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) (.f32 -2/9 (.f32 (cbrt.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))))) (.f32 (pow.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 1/18) (pow.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 1/18))))) (.f32 (.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4)) 1/18))) 0)))) (+.f32 (.f32 -2/27 (.f32 (.f32 (pow.f32 (/.f32 1 (.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4) (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 5))) 1/18) (pow.f32 (/.f32 1 (.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4) (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 5))) 1/18)) (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))))) (.f32 (fma.f32 (cbrt.f32 (/.f32 1 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 2))) 1/27 (.f32 (.f32 -2/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 6)) 1/18)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 6)) 1/18))) (+.f32 (.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) (.f32 -2/3 (cbrt.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))))))) -1/3))))))))) (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) (-.f32 (/.f32 (fma.f32 1/2 (pow.f32 (fma.f32 1/3 (.f32 (pow.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4) 1/18)) (.f32 (.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 1/18) (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 1/18)) (.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 2/3))) 2) (+.f32 (.f32 2/9 (.f32 (pow.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 1/18) (pow.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 1/18))) (+.f32 (.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) (.f32 -2/9 (.f32 (cbrt.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))))) (.f32 (pow.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 1/18) (pow.f32 (/.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 1/18))))) (.f32 (.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4)) 1/18))) 0)))) (.f32 v v)) (/.f32 (fma.f32 1/3 (.f32 (pow.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 4) 1/18)) (.f32 (.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 1/18) (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2))) 1/18)) (.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 -1/2)))) 2/3))) v))))

localize67.0ms (0.5%)

Local error

Found 8 expressions with local error:

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

series31.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	cosTheta_i	@	0	(*.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
2.0ms	cosTheta_i	@	-inf	(sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
2.0ms	cosTheta_i	@	0	(sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
2.0ms	v	@	inf	(*.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
2.0ms	v	@	-inf	(*.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`log-prod_binary32`
296×	`pow1/3_binary32`
295×	`expm1-udef_binary32`
295×	`log1p-udef_binary32`
273×	`pow3_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	69
1	341	69
2	4213	63

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))) (cbrt.f32 (exp.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))) (cbrt.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))) (cbrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)) 1/4) (pow.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cbrt.f32 (pow.f32 (exp.f32 4) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))) (sqrt.f32 (cbrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (exp.f32 6931/5000)) (sqrt.f32 (pow.f32 (exp.f32 2) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 (.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1/2)) (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 4/3) (.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1/2)) (pow.f32 (exp.f32 2/3) (.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 1) (.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1/2)) (pow.f32 (exp.f32 1) (.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/2) (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 4) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) 1/2) (pow.f32 (cbrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 6931/5000) 1/2) (pow.f32 (pow.f32 (exp.f32 2) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 2) (.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 2) (.f32 (.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 1/2 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 2 (.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 1/2 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))) (cbrt.f32 (exp.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))) (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))) (cbrt.f32 (pow.f32 (exp.f32 4) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))) (.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))) (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (exp.f32 4) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (cbrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)) 1/4) (.f32 (pow.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)) 1/4) (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 6931/5000) (pow.f32 (exp.f32 2) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 2) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) (exp.f32 6931/5000))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)) 1/4) 3) (pow.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 4/3) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (pow.f32 (exp.f32 2/3) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))) (cbrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))) (cbrt.f32 (sqrt.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (exp.f32 4) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (fma.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/5000) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 48038761/100000000 (-.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (/.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 2) (-.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 2)) (cbrt.f32 (+.f32 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simplify123.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

745×	`associate-/r*_binary32`
498×	`associate-*l/_binary32`
437×	`associate-*r/_binary32`
332×	`distribute-rgt-in_binary32`
329×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	4998
1	707	4671
2	2691	4106

Stop Event

1×	node limit

Counts

282 → 213

Calls

Call 1

Inputs
(sqrt.f32 (exp.f32 (*.f32 2 (-.f32 6931/10000 (/.f32 1 v)))))
(+.f32 (sqrt.f32 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (sqrt.f32 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v)))))))
(+.f32 (sqrt.f32 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v))))) (+.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (sqrt.f32 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v)))))) (.f32 1/2 (.f32 (.f32 (pow.f32 cosTheta_i 2) (-.f32 (.f32 2 (/.f32 (.f32 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (pow.f32 (.f32 (/.f32 cosTheta_O v) (sqrt.f32 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v)))))) 2))) (sqrt.f32 (/.f32 1 (exp.f32 (*.f32 2 (-.f32 6931/10000 (/.f32 1 v))))))))))
(+.f32 (sqrt.f32 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v))))) (+.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (sqrt.f32 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v)))))) (+.f32 (.f32 1/2 (.f32 (.f32 (pow.f32 cosTheta_i 3) (-.f32 (.f32 4/3 (/.f32 (.f32 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 cosTheta_O 3)) (pow.f32 v 3))) (/.f32 (.f32 (-.f32 (.f32 2 (/.f32 (.f32 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (pow.f32 (.f32 (/.f32 cosTheta_O v) (sqrt.f32 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v)))))) 2)) cosTheta_O) v))) (sqrt.f32 (/.f32 1 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v)))))))) (.f32 1/2 (.f32 (.f32 (pow.f32 cosTheta_i 2) (-.f32 (.f32 2 (/.f32 (.f32 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 cosTheta_O 2)) (pow.f32 v 2))) (pow.f32 (.f32 (/.f32 cosTheta_O v) (sqrt.f32 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v)))))) 2))) (sqrt.f32 (/.f32 1 (exp.f32 (.f32 2 (-.f32 6931/10000 (/.f32 1 v)))))))))))
(sqrt.f32 (exp.f32 (*.f32 2 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))
(sqrt.f32 (exp.f32 (*.f32 2 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))
(sqrt.f32 (exp.f32 (*.f32 2 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))
(sqrt.f32 (exp.f32 (*.f32 2 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))
(sqrt.f32 (exp.f32 (*.f32 2 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))
(sqrt.f32 (exp.f32 (*.f32 2 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))
(sqrt.f32 (exp.f32 (*.f32 2 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))
(sqrt.f32 (exp.f32 (*.f32 2 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))
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Outputs
(sqrt.f32 (exp.f32 (*.f32 2 (-.f32 6931/10000 (/.f32 1 v)))))
(sqrt.f32 (pow.f32 (exp.f32 2) (-.f32 6931/10000 (/.f32 1 v))))
(sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 -1 v))))
(fabs.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
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(*.f32 (+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 1) (sqrt.f32 (pow.f32 (exp.f32 2) (-.f32 6931/10000 (/.f32 1 v)))))
(.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 -1 v)))) (+.f32 1 (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(.f32 (fabs.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (+.f32 1 (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
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(.f32 1/2 (.f32 (/.f32 1 v) (sqrt.f32 (exp.f32 (*.f32 2 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))
(.f32 1/2 (.f32 (/.f32 1 v) (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
(*.f32 (fabs.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
(.f32 1/2 (.f32 (/.f32 1 v) (sqrt.f32 (exp.f32 (*.f32 2 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))
(.f32 1/2 (.f32 (/.f32 1 v) (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
(*.f32 (fabs.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
(.f32 1/2 (.f32 (/.f32 1 v) (sqrt.f32 (exp.f32 (*.f32 2 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))
(.f32 1/2 (.f32 (/.f32 1 v) (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
(*.f32 (fabs.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
(.f32 1/2 (.f32 (/.f32 1 v) (sqrt.f32 (exp.f32 (*.f32 2 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))
(.f32 1/2 (.f32 (/.f32 1 v) (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
(*.f32 (fabs.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
(.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 1 v)))
(.f32 1/2 (.f32 (/.f32 1 v) (sqrt.f32 (exp.f32 6931/5000))))
(*.f32 1/2 (/.f32 (sqrt.f32 (exp.f32 6931/5000)) v))
(*.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 1/2 v))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (pow.f32 v 2)))) (.f32 1/2 (*.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 1 v))))
(.f32 1/2 (+.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 v v))) (.f32 (/.f32 1 v) (sqrt.f32 (exp.f32 6931/5000)))))
(.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (+.f32 (/.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) v) (/.f32 1 v))))
(.f32 1/2 (.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 1) (/.f32 (sqrt.f32 (exp.f32 6931/5000)) v)))
(+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (exp.f32 6931/5000))) (/.f32 (-.f32 (.f32 2 (.f32 (exp.f32 6931/5000) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2))) (pow.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (-.f32 (.f32 cosTheta_i cosTheta_O) 1)) 2)) (pow.f32 v 3)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (pow.f32 v 2)))) (.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 1 v)))))
(fma.f32 1/4 (.f32 (sqrt.f32 (exp.f32 -6931/5000)) (/.f32 (-.f32 (.f32 2 (.f32 (exp.f32 6931/5000) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (pow.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (fma.f32 cosTheta_i cosTheta_O -1)) 2)) (pow.f32 v 3))) (.f32 1/2 (+.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 v v))) (.f32 (/.f32 1 v) (sqrt.f32 (exp.f32 6931/5000))))))
(fma.f32 (.f32 (sqrt.f32 (exp.f32 -6931/5000)) 1/4) (/.f32 (-.f32 (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2) (.f32 2 (exp.f32 6931/5000))) (pow.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (fma.f32 cosTheta_i cosTheta_O -1)) 2)) (pow.f32 v 3)) (.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (+.f32 (/.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) v) (/.f32 1 v)))))
(fma.f32 1/2 (.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 1) (/.f32 (sqrt.f32 (exp.f32 6931/5000)) v)) (.f32 1/4 (.f32 (/.f32 (sqrt.f32 (exp.f32 -6931/5000)) (pow.f32 v 3)) (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2) (-.f32 (*.f32 2 (exp.f32 6931/5000)) (exp.f32 6931/5000))))))
(+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (exp.f32 6931/5000))) (/.f32 (-.f32 (.f32 2 (.f32 (exp.f32 6931/5000) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2))) (pow.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (-.f32 (.f32 cosTheta_i cosTheta_O) 1)) 2)) (pow.f32 v 3)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (pow.f32 v 2)))) (+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (exp.f32 6931/5000))) (/.f32 (-.f32 (.f32 4/3 (.f32 (exp.f32 6931/5000) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 3))) (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (-.f32 (.f32 2 (.f32 (exp.f32 6931/5000) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2))) (pow.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (-.f32 (.f32 cosTheta_i cosTheta_O) 1)) 2)))) (pow.f32 v 4)))) (.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 1 v))))))
(fma.f32 1/4 (.f32 (sqrt.f32 (exp.f32 -6931/5000)) (/.f32 (-.f32 (.f32 2 (.f32 (exp.f32 6931/5000) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (pow.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (fma.f32 cosTheta_i cosTheta_O -1)) 2)) (pow.f32 v 3))) (fma.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 v v))) (fma.f32 1/4 (.f32 (sqrt.f32 (exp.f32 -6931/5000)) (/.f32 (-.f32 (.f32 4/3 (.f32 (exp.f32 6931/5000) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 3))) (.f32 (fma.f32 cosTheta_i cosTheta_O -1) (-.f32 (.f32 2 (.f32 (exp.f32 6931/5000) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (pow.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (fma.f32 cosTheta_i cosTheta_O -1)) 2)))) (pow.f32 v 4))) (.f32 1/2 (*.f32 (/.f32 1 v) (sqrt.f32 (exp.f32 6931/5000)))))))
(+.f32 (fma.f32 (.f32 (sqrt.f32 (exp.f32 -6931/5000)) 1/4) (/.f32 (-.f32 (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2) (.f32 2 (exp.f32 6931/5000))) (pow.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (fma.f32 cosTheta_i cosTheta_O -1)) 2)) (pow.f32 v 3)) (.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (+.f32 (/.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) v) (/.f32 1 v))))) (.f32 (sqrt.f32 (exp.f32 -6931/5000)) (.f32 (/.f32 (-.f32 (.f32 4/3 (.f32 (exp.f32 6931/5000) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 3))) (.f32 (fma.f32 cosTheta_i cosTheta_O -1) (-.f32 (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2) (.f32 2 (exp.f32 6931/5000))) (pow.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (fma.f32 cosTheta_i cosTheta_O -1)) 2)))) (pow.f32 v 4)) 1/4)))
(+.f32 (fma.f32 1/2 (.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 1) (/.f32 (sqrt.f32 (exp.f32 6931/5000)) v)) (.f32 1/4 (.f32 (/.f32 (sqrt.f32 (exp.f32 -6931/5000)) (pow.f32 v 3)) (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2) (-.f32 (.f32 2 (exp.f32 6931/5000)) (exp.f32 6931/5000)))))) (.f32 1/4 (.f32 (/.f32 (sqrt.f32 (exp.f32 -6931/5000)) (pow.f32 v 4)) (-.f32 (.f32 (exp.f32 6931/5000) (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 3) 4/3)) (.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2) (-.f32 (.f32 2 (exp.f32 6931/5000)) (exp.f32 6931/5000))))))))
(.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 1 v)))
(.f32 1/2 (.f32 (/.f32 1 v) (sqrt.f32 (exp.f32 6931/5000))))
(*.f32 1/2 (/.f32 (sqrt.f32 (exp.f32 6931/5000)) v))
(*.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 1/2 v))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (pow.f32 v 2)))) (.f32 1/2 (*.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 1 v))))
(.f32 1/2 (+.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 v v))) (.f32 (/.f32 1 v) (sqrt.f32 (exp.f32 6931/5000)))))
(.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (+.f32 (/.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) v) (/.f32 1 v))))
(.f32 1/2 (.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 1) (/.f32 (sqrt.f32 (exp.f32 6931/5000)) v)))
(+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (exp.f32 6931/5000))) (/.f32 (-.f32 (.f32 2 (.f32 (exp.f32 6931/5000) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2))) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (-.f32 (.f32 cosTheta_i cosTheta_O) 1))) 2)) (pow.f32 v 3)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (pow.f32 v 2)))) (.f32 1/2 (*.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 1 v)))))
(fma.f32 1/4 (.f32 (sqrt.f32 (exp.f32 -6931/5000)) (/.f32 (-.f32 (.f32 2 (.f32 (exp.f32 6931/5000) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (pow.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (fma.f32 cosTheta_i cosTheta_O -1)) 2)) (pow.f32 v 3))) (.f32 1/2 (+.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 v v))) (.f32 (/.f32 1 v) (sqrt.f32 (exp.f32 6931/5000))))))
(fma.f32 (.f32 (sqrt.f32 (exp.f32 -6931/5000)) 1/4) (/.f32 (-.f32 (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2) (.f32 2 (exp.f32 6931/5000))) (pow.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (fma.f32 cosTheta_i cosTheta_O -1)) 2)) (pow.f32 v 3)) (.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (+.f32 (/.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) v) (/.f32 1 v)))))
(fma.f32 1/2 (.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 1) (/.f32 (sqrt.f32 (exp.f32 6931/5000)) v)) (.f32 1/4 (.f32 (/.f32 (sqrt.f32 (exp.f32 -6931/5000)) (pow.f32 v 3)) (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2) (-.f32 (*.f32 2 (exp.f32 6931/5000)) (exp.f32 6931/5000))))))
(+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (exp.f32 6931/5000))) (/.f32 (-.f32 (.f32 2 (.f32 (exp.f32 6931/5000) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2))) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (-.f32 (.f32 cosTheta_i cosTheta_O) 1))) 2)) (pow.f32 v 3)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (pow.f32 v 2)))) (+.f32 (.f32 -1/4 (.f32 (sqrt.f32 (/.f32 1 (exp.f32 6931/5000))) (/.f32 (-.f32 (.f32 -4/3 (.f32 (exp.f32 6931/5000) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 3))) (.f32 -1 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (-.f32 (.f32 2 (.f32 (exp.f32 6931/5000) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2))) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (-.f32 (.f32 cosTheta_i cosTheta_O) 1))) 2))))) (pow.f32 v 4)))) (.f32 1/2 (*.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 1 v))))))
(fma.f32 1/4 (.f32 (sqrt.f32 (exp.f32 -6931/5000)) (/.f32 (-.f32 (.f32 2 (.f32 (exp.f32 6931/5000) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (pow.f32 (neg.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (fma.f32 cosTheta_i cosTheta_O -1))) 2)) (pow.f32 v 3))) (fma.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 v v))) (fma.f32 -1/4 (.f32 (sqrt.f32 (exp.f32 -6931/5000)) (/.f32 (-.f32 (.f32 (.f32 (exp.f32 6931/5000) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 3)) -4/3) (neg.f32 (.f32 (fma.f32 cosTheta_i cosTheta_O -1) (-.f32 (.f32 2 (.f32 (exp.f32 6931/5000) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (pow.f32 (neg.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (fma.f32 cosTheta_i cosTheta_O -1))) 2))))) (pow.f32 v 4))) (.f32 1/2 (*.f32 (/.f32 1 v) (sqrt.f32 (exp.f32 6931/5000)))))))
(+.f32 (fma.f32 (.f32 (sqrt.f32 (exp.f32 -6931/5000)) 1/4) (/.f32 (-.f32 (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2) (.f32 2 (exp.f32 6931/5000))) (pow.f32 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (fma.f32 cosTheta_i cosTheta_O -1)) 2)) (pow.f32 v 3)) (.f32 1/2 (.f32 (sqrt.f32 (exp.f32 6931/5000)) (+.f32 (/.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) v) (/.f32 1 v))))) (.f32 (sqrt.f32 (exp.f32 -6931/5000)) (.f32 (/.f32 (fma.f32 (.f32 (exp.f32 6931/5000) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 3)) -4/3 (.f32 (fma.f32 cosTheta_i cosTheta_O -1) (-.f32 (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2) (.f32 2 (exp.f32 6931/5000))) (pow.f32 (*.f32 (sqrt.f32 (exp.f32 6931/5000)) (fma.f32 cosTheta_i cosTheta_O -1)) 2)))) (pow.f32 v 4)) -1/4)))
(+.f32 (fma.f32 1/2 (.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 1) (/.f32 (sqrt.f32 (exp.f32 6931/5000)) v)) (.f32 1/4 (.f32 (/.f32 (sqrt.f32 (exp.f32 -6931/5000)) (pow.f32 v 3)) (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2) (-.f32 (.f32 2 (exp.f32 6931/5000)) (exp.f32 6931/5000)))))) (.f32 (sqrt.f32 (exp.f32 -6931/5000)) (.f32 (/.f32 (fma.f32 (exp.f32 6931/5000) (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 3) -4/3) (.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2) (-.f32 (*.f32 2 (exp.f32 6931/5000)) (exp.f32 6931/5000))))) (pow.f32 v 4)) -1/4)))

eval616.0ms (4.7%)

Compiler: Compiled 24210 to 19824 computations (18.1% saved)

prune231.0ms (1.8%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	816	12	828
Fresh	5	3	8
Picked	1	0	1
Done	0	5	5
Total	822	20	842

Error

0.0b

Counts

842 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	19.5b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
	0.1b	(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 v) -2)) (/.f32 1 (cbrt.f32 v))))
	0.7b	(exp.f32 (/.f32 -1 v))
	0.1b	(.f32 (.f32 (pow.f32 (exp.f32 4/3) (.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1/2)) (pow.f32 (exp.f32 2/3) (.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1/2))) (/.f32 1/2 v))
	0.1b	(pow.f32 (cbrt.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v))) 3)
✓	0.1b	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
	0.1b	(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))) 2))) (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
	0.1b	(pow.f32 (exp.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)))) (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))) 2))
✓	30.0b	(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	29.9b	1
	0.1b	(/.f32 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1/2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))
	0.2b	(*.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 1/2 v))
✓	0.1b	(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 1 v)))
	0.1b	(*.f32 (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v))
	25.2b	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
	4.1b	(.f32 (.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (E.f32) (fma.f32 (neg.f32 (/.f32 1 (cbrt.f32 v))) (cbrt.f32 (pow.f32 v -2)) (/.f32 1 v))))
✓	0.1b	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	0.6b	(*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))
	0.1b	(*.f32 (/.f32 1 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))) (/.f32 1/2 v))
✓	0.1b	(exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 3))

Compiler

Compiled 369 to 312 computations (15.4% saved)

regimes227.0ms (1.7%)

Counts

45 → 1

Calls

Call 1

Inputs
1
1
1
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(+.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))
(exp.f32 (/.f32 (-.f32 -1 (*.f32 sinTheta_i sinTheta_O)) v))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (/.f32 1/2 v))
(*.f32 (/.f32 1 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))) (/.f32 1/2 v))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
(.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 1/2 v))
(*.f32 (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v))
(*.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(.f32 (pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(.f32 (.f32 (exp.f32 (neg.f32 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (exp.f32 6931/10000)) (/.f32 1/2 v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v))) 3)
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.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))
(exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 3))
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))) 3) 1/3)
(/.f32 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1/2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
(*.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))
(.f32 (.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (exp.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) (/.f32 1/2 v))
(exp.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3))
(pow.f32 (cbrt.f32 (/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3)
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (-.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))
(*.f32 (pow.f32 (cbrt.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))))) 3) (/.f32 1/2 v))
(.f32 (.f32 (pow.f32 (exp.f32 4/3) (.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1/2)) (pow.f32 (exp.f32 2/3) (.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1/2))) (/.f32 1/2 v))
(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 v) -2)) (/.f32 1 (cbrt.f32 v))))
(pow.f32 (exp.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000)))) (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 -1 v) 6931/10000))) 2))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))) 2))) (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
(.f32 (.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (E.f32) (fma.f32 (neg.f32 (/.f32 1 (cbrt.f32 v))) (cbrt.f32 (pow.f32 v -2)) (/.f32 1 v))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))

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

Calls

11 calls:

37.0ms	sinTheta_i
24.0ms	cosTheta_O
24.0ms	sinTheta_O
20.0ms	(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)))))
20.0ms	cosTheta_i

Results

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

Compiler

Compiled 821 to 564 computations (31.3% saved)

regimes117.0ms (0.9%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

7 calls:

30.0ms	sinTheta_O
28.0ms	(*.f32 sinTheta_i sinTheta_O)
12.0ms	sinTheta_i
11.0ms	v
11.0ms	cosTheta_O

Results

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

Compiler

Compiled 214 to 147 computations (31.3% saved)

regimes84.0ms (0.6%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

7 calls:

38.0ms	cosTheta_i
9.0ms	sinTheta_O
9.0ms	cosTheta_O
7.0ms	sinTheta_i
6.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Error	Segments	Branch
0.6b	1	`cosTheta_i`
0.6b	1	`cosTheta_O`
0.6b	1	`sinTheta_i`
0.6b	1	`sinTheta_O`
0.6b	1	`v`
0.6b	1	`(*.f32 cosTheta_i cosTheta_O)`
0.6b	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 110 to 77 computations (30% saved)

regimes68.0ms (0.5%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

33.0ms	cosTheta_i
7.0ms	v
7.0ms	sinTheta_i
6.0ms	cosTheta_O
6.0ms	sinTheta_O

Results

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

Compiler

Compiled 86 to 60 computations (30.2% saved)

regimes34.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	sinTheta_O
6.0ms	cosTheta_O
5.0ms	v
5.0ms	sinTheta_i
5.0ms	cosTheta_i

Results

Error	Segments	Branch
19.5b	1	`cosTheta_i`
19.5b	1	`cosTheta_O`
19.5b	1	`sinTheta_i`
19.5b	1	`sinTheta_O`
19.5b	1	`v`
19.5b	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 63 to 45 computations (28.6% saved)

regimes22.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
1
1
1

Outputs
1

Calls

5 calls:

5.0ms	cosTheta_i
5.0ms	sinTheta_O
4.0ms	sinTheta_i
3.0ms	cosTheta_O
3.0ms	v

Results

Error	Segments	Branch
29.9b	1	`cosTheta_i`
29.9b	1	`cosTheta_O`
29.9b	1	`sinTheta_i`
29.9b	1	`sinTheta_O`
29.9b	1	`v`

Compiler

Compiled 38 to 33 computations (13.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary32`
4×	`*-commutative_binary32`
3×	`sub-neg_binary32`
1×	`distribute-neg-frac_binary32`
1×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	31	58
2	37	58
3	39	58
4	40	58

Stop Event

1×

saturated

Calls

Call 1

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

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

end46.0ms (0.4%)

Stop Event

1×

fuel

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 177 to 149 computations (15.8% saved)