Details

analyze917.0ms (6.8%)

Algorithm

1×

Search

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

sample3.3s (24.3%)

Results

3.2s	8256×	body	256	valid
101.0ms	145×	body	256	invalid

Bogosity

preprocess49.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

880×	`fma-neg_binary32`
856×	`exp-diff_binary32`
339×	`cancel-sign-sub-inv_binary32`
307×	`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)) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v))) 6931/10000)))
(*.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 -1 (fma.f32 sinTheta_i (/.f32 sinTheta_O 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)) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v))) 6931/10000)))
(*.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 -1 (fma.f32 sinTheta_i (/.f32 sinTheta_O 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 cosTheta_O (/.f32 v sinTheta_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 sinTheta_O v) cosTheta_O) (+.f32 (/.f32 1 v) (*.f32 (/.f32 cosTheta_i v) sinTheta_i))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_O v)) (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 sinTheta_i (/.f32 cosTheta_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 (/.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 sinTheta_i (/.f32 cosTheta_i sinTheta_O)) (+.f32 (/.f32 1 cosTheta_i) -6931/10000)))) (/.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 cosTheta_O (/.f32 v sinTheta_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 (/.f32 sinTheta_O v) cosTheta_O))))) (/.f32 1/2 v))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 sinTheta_i v)) (fma.f32 (/.f32 cosTheta_O v) sinTheta_O (+.f32 (/.f32 1 v) -6931/10000)))) (/.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 6931/10000 (-.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 1 v))))))
(*.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 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 sinTheta_O (/.f32 cosTheta_O sinTheta_i)) (/.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)) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v))) 6931/10000)))
(*.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 -1 (fma.f32 sinTheta_i (/.f32 sinTheta_O 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 (.f32 (/.f32 cosTheta_i sinTheta_i) cosTheta_O) (+.f32 (/.f32 sinTheta_O (/.f32 sinTheta_i v)) (+.f32 (/.f32 1 sinTheta_i) -6931/10000)))) (/.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 6931/10000 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i sinTheta_O) cosTheta_O) (*.f32 (/.f32 sinTheta_i sinTheta_O) v)) (/.f32 -1 sinTheta_O)))) (/.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)

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

688×	`fma-def_binary32`
507×	`exp-sum_binary32`
492×	`fma-neg_binary32`
429×	`exp-diff_binary32`
428×	`sub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	35
1	53	33
2	147	31
3	583	29
4	2984	29

Stop Event

1×	node limit

Counts

1 → 6

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

eval2.0ms (0%)

Compiler: Compiled 136 to 82 computations (39.7% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Error

0.2b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.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))
▶	0.2b	(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)))))

Status

Error

Program

▶

0.2b

(*.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))

▶

0.2b

(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)))))

Compiler

Compiled 55 to 39 computations (29.1% saved)

localize117.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 114 to 52 computations (54.4% saved)

series87.0ms (0.6%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
39.0ms	v	@	0	(log.f32 (/.f32 1/2 v))
16.0ms	v	@	-inf	(log.f32 (/.f32 1/2 v))
8.0ms	v	@	inf	(log.f32 (/.f32 1/2 v))
3.0ms	v	@	0	(/.f32 cosTheta_i (/.f32 v cosTheta_O))
1.0ms	cosTheta_i	@	0	(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)))))

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

259×	`add-sqr-sqrt_binary32`
251×	`*-un-lft-identity_binary32`
251×	`pow1_binary32`
243×	`add-log-exp_binary32`
242×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	55
1	495	51

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 1/2) (neg.f32 (log.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (/.f32 1/4 (.f32 v v)))) (log.f32 (cbrt.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (/.f32 1/2 v))) (log.f32 (sqrt.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (.f32 v 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 1/2) (log.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 (/.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 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (+.f32 (log.f32 1/2) (log.f32 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 (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 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 expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (/.f32 1/2 v) 1))))) (#(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))))))
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6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)))) (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 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cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))))))

simplify137.0ms (1%)

Algorithm

1×	egg-herbie

Rules

549×	`fma-neg_binary32`
331×	`log-prod_binary32`
244×	`cube-prod_binary32`
225×	`sqr-pow_binary32`
225×	`exp-sum_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	439	5674
1	1165	5355
2	4522	5252

Stop Event

1×	node limit

Counts

277 → 236

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)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(+.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)))
(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 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_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 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.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 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_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 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.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 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.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 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (exp.f32 (-.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 (+.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))))
(+.f32 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O)))) v) (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))))
(+.f32 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) 2)) (pow.f32 v 2)))))
(+.f32 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) 2)) (pow.f32 v 2))) (.f32 1/6 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.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 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (.f32 -1 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (.f32 sinTheta_i sinTheta_O)))) v)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2)) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (.f32 -1 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (.f32 sinTheta_i sinTheta_O)))) v))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2)) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (.f32 sinTheta_i sinTheta_O)))) v)) (.f32 -1/6 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 3)) (pow.f32 v 3))))))
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(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 v))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) (sqrt.f32 (log.f32 (/.f32 1/2 v))))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v)))))
(/.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (+.f32 (log.f32 1/2) (log.f32 v)))
(pow.f32 (log.f32 (/.f32 1/2 v)) 1)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 3)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) 2)
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) 1/3)
(neg.f32 (log.f32 (*.f32 v 2)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 v))))
(log1p.f32 (-.f32 (/.f32 1/2 v) 1))
(exp.f32 (log.f32 (log.f32 (/.f32 1/2 v))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 1/2 v))) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)))) 1)
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(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
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(.f32 (pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 2) (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
(.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
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(pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 1)
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)))
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(pow.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 2)
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)))) (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000))) 2)) (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000))))
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(cbrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 3))
(expm1.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
(log1p.f32 (expm1.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))

Outputs
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(log.f32 (/.f32 1/2 v))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(log.f32 (/.f32 1/2 v))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(log.f32 (/.f32 1/2 v))
(+.f32 (*.f32 -1 (log.f32 v)) (log.f32 1/2))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 (/.f32 1 v)) (log.f32 1/2))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 v)))
(exp.f32 (-.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))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_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 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 cosTheta_i (/.f32 v (*.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(+.f32 (.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) (.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_O (.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.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 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_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))))))
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(.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(/.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (log.f32 (/.f32 1/2 v))) 6931/10000)))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 1)
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))
(pow.f32 (E.f32) (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(pow.f32 (E.f32) (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 1/2 v))) (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(pow.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 3) 1/3)
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 3)
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(pow.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 2)
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)))) (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))) (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 1/2 v))) (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) (sqrt.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 1/2 v))) (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000))) 2)) (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) 2)) (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 1/2 v))) (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) 2)) (cbrt.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 1/2 v))) (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))
(sqrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 2))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(log.f32 (exp.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)))))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(cbrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 3))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(expm1.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(log1p.f32 (expm1.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))

localize95.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 108 to 41 computations (62% saved)

series24.0ms (0.2%)

Counts

2 → 120

Calls

30 calls:

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

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`log1p-udef_binary32`
245×	`add-sqr-sqrt_binary32`
238×	`*-un-lft-identity_binary32`
238×	`pow1_binary32`
229×	`add-log-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	60
1	469	60
2	7458	60

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Inputs

(*.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))

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (*.f32 v 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 v (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 1/2) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 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 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (+.f32 (-.f32 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simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

634×	`fma-def_binary32`
510×	`distribute-rgt-in_binary32`
354×	`unswap-sqr_binary32`
239×	`associate-/l*_binary32`
209×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	6785
1	821	6046
2	3562	5977

Stop Event

1×	node limit

Counts

167 → 167

Calls

Call 1

Inputs
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))) (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) 3) (exp.f32 6931/10000)) (pow.f32 v 4))) (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (*.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (*.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 -1/12 (/.f32 (.f32 (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 3) (exp.f32 6931/10000)) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (.f32 -1 (*.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v)))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 -1/2 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (.f32 -1/12 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 (pow.f32 sinTheta_O 3) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (pow.f32 v 4))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v)))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
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(/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 1/2) v)
(/.f32 (neg.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 1/2)) (neg.f32 v))
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 1/2) 1) v)
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 1/2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 1/2) (sqrt.f32 v)) (sqrt.f32 v))
(/.f32 (.f32 -1/2 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) (neg.f32 v))
(/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) -1/2) (neg.f32 v))
(pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v)) 1)
(pow.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v)) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))) 3)
(pow.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))) 2)
(sqrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v)) 2))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v)))))
(cbrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v)) 3))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 3) (pow.f32 (/.f32 1/2 v) 3)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 3)))
(expm1.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))))
(log1p.f32 (expm1.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))))
(exp.f32 (+.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)) (log.f32 (/.f32 1/2 v))))
(exp.f32 (.f32 (+.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)) (log.f32 (/.f32 1/2 v))) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))))) 1)
(.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 1)
(.f32 1 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) 2))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) 2) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))))
(.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))))
(.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (/.f32 -1 v))) (exp.f32 6931/10000))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (exp.f32 (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (/.f32 -1 v) 6931/10000))))
(pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 1)
(pow.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 3) 1/3)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) 3)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) 2)
(pow.f32 (exp.f32 1) (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)) 2))) (cbrt.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))))

Outputs
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) v))
(/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))))
(.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) v) (/.f32 cosTheta_i (/.f32 (.f32 v v) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) cosTheta_O)))))
(.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) v) (.f32 (/.f32 cosTheta_i (.f32 v v)) (.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) cosTheta_O))))
(.f32 1/2 (fma.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) cosTheta_i) v) (/.f32 cosTheta_O v) (/.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) v)))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3)))))
(fma.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) v) (fma.f32 1/2 (/.f32 cosTheta_i (/.f32 (.f32 v v) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) cosTheta_O))) (.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (pow.f32 v 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) (*.f32 cosTheta_O cosTheta_O)))))))
(fma.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) v) (.f32 (/.f32 cosTheta_i (.f32 v v)) (.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) cosTheta_O))) (/.f32 1/4 (/.f32 (pow.f32 v 3) (.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (.f32 (.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_i cosTheta_i))))))
(fma.f32 1/2 (fma.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) cosTheta_i) v) (/.f32 cosTheta_O v) (/.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) v)) (.f32 1/4 (/.f32 cosTheta_i (/.f32 (/.f32 (/.f32 (pow.f32 v 3) (*.f32 cosTheta_O cosTheta_O)) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) cosTheta_i))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))))))
(fma.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) v) (fma.f32 1/2 (/.f32 cosTheta_i (/.f32 (.f32 v v) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) cosTheta_O))) (fma.f32 1/12 (/.f32 (pow.f32 cosTheta_i 3) (/.f32 (pow.f32 v 4) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) (pow.f32 cosTheta_O 3)))) (.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (pow.f32 v 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) (*.f32 cosTheta_O cosTheta_O))))))))
(fma.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) v) (.f32 (/.f32 cosTheta_i (.f32 v v)) (.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) cosTheta_O))) (fma.f32 1/4 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (pow.f32 v 3)) (.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (.f32 cosTheta_O cosTheta_O))) (.f32 1/12 (.f32 (/.f32 (pow.f32 cosTheta_i 3) (pow.f32 v 4)) (.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (pow.f32 cosTheta_O 3))))))
(fma.f32 1/2 (fma.f32 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) cosTheta_i) v) (/.f32 cosTheta_O v) (/.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) v)) (fma.f32 1/4 (/.f32 cosTheta_i (/.f32 (/.f32 (/.f32 (pow.f32 v 3) (.f32 cosTheta_O cosTheta_O)) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) cosTheta_i)) (/.f32 (.f32 (pow.f32 cosTheta_i 3) 1/12) (/.f32 (pow.f32 v 4) (.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (pow.f32 cosTheta_O 3))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) 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))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) 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))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) 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))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) 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))))
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(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) 2) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (/.f32 -1 v))) (exp.f32 6931/10000))
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (exp.f32 (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 (/.f32 -1 v) 6931/10000))))
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 1)
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(pow.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 3) 1/3)
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) 3)
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) 2)
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(pow.f32 (exp.f32 1) (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))
(pow.f32 (E.f32) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 6931/10000 (/.f32 -1 v)))))
(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))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))))
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)) 2))) (cbrt.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 6931/10000 (/.f32 -1 v)))) 2))) (cbrt.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 6931/10000 (/.f32 -1 v))))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 2))) (cbrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 2))
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(log.f32 (exp.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))))))
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 3))
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 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))))

eval258.0ms (1.9%)

Compiler: Compiled 17600 to 9695 computations (44.9% saved)

prune199.0ms (1.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	491	12	503
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	493	12	505

Error

0.0b

Counts

505 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(pow.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))) 2)
	0.2b	(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))) 3)
	0.2b	(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)))
	0.5b	(.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 3) 1/3) (/.f32 1/2 v))
	0.2b	(.f32 (pow.f32 (E.f32) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 6931/10000 (/.f32 -1 v))))) (/.f32 1/2 v))
	30.5b	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
▶	0.2b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
▶	3.8b	(.f32 (.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
▶	0.2b	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))
▶	0.2b	(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
▶	30.5b	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	0.2b	(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 1 v)))

Compiler

Compiled 564 to 424 computations (24.8% saved)

localize71.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)
✓	0.0b	(-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	0.1b	(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
✓	6.8b	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Compiler

Compiled 84 to 42 computations (50% saved)

series17.0ms (0.1%)

Counts

4 → 68

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	sinTheta_i	@	inf	(/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)
1.0ms	v	@	-inf	(/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)
1.0ms	v	@	inf	(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
1.0ms	v	@	-inf	(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
1.0ms	v	@	inf	(/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`log-prod_binary32`
447×	`fma-def_binary32`
283×	`log-div_binary32`
261×	`expm1-udef_binary32`
261×	`log1p-udef_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	291	62
2	4387	56

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (/.f32 sinTheta_i v) sinTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (cbrt.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))))) (log.f32 (cbrt.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)))) (log.f32 (sqrt.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 sinTheta_i (/.f32 1 (/.f32 v sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 sinTheta_i (.f32 sinTheta_O (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 sinTheta_O (.f32 sinTheta_i (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 sinTheta_i sinTheta_O) (/.f32 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (/.f32 sinTheta_i v) sinTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 v) (.f32 sinTheta_i sinTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (pow.f32 (cbrt.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2) (cbrt.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) 2) (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 v -1/2) (/.f32 (.f32 sinTheta_i sinTheta_O) (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (sqrt.f32 (.f32 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(#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_O (pow.f32 (cbrt.f32 v) 2)) (/.f32 sinTheta_i (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (.f32 sinTheta_i sinTheta_O) (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) 2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_i (sqrt.f32 v)) (/.f32 sinTheta_O (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_O (sqrt.f32 v)) (/.f32 sinTheta_i (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 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simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

494×	`fma-neg_binary32`
396×	`exp-prod_binary32`
387×	`log-prod_binary32`
351×	`associate-r_binary32`
335×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	517	5020
1	1345	4399
2	5936	4379

Stop Event

1×	node limit

Counts

252 → 303

Calls

Call 1

Inputs
(exp.f32 6931/10000)
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) v)) (exp.f32 6931/10000))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) v)) (+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3) (exp.f32 6931/10000)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 2))) (exp.f32 6931/10000))))
(exp.f32 6931/10000)
(+.f32 (.f32 -1 (/.f32 (.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) v)) (exp.f32 6931/10000))
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(neg.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) (neg.f32 v)))
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v) 2))
(log.f32 (exp.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v) 3))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) 3) (pow.f32 v 3)))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) 3) (pow.f32 v -3)))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v)))
(exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))) (log.f32 v)))
(exp.f32 (.f32 (-.f32 (-.f32 6931/10000 (.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))) (log.f32 v)) 1))

Outputs
(exp.f32 6931/10000)
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) v)) (exp.f32 6931/10000))
(fma.f32 -1 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 v (exp.f32 6931/10000))) (exp.f32 6931/10000))
(-.f32 (exp.f32 6931/10000) (*.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 2))) (exp.f32 6931/10000)))
(fma.f32 -1 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 v (exp.f32 6931/10000))) (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 2) (/.f32 (*.f32 v v) (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 sinTheta_i sinTheta_O 1) 2) v)) (exp.f32 6931/10000)) (.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)) v)) (+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3) (exp.f32 6931/10000)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)) (pow.f32 v 2))) (exp.f32 6931/10000))))
(fma.f32 -1 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 v (exp.f32 6931/10000))) (fma.f32 -1/6 (/.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 3) (/.f32 (pow.f32 v 3) (exp.f32 6931/10000))) (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 2) (/.f32 (*.f32 v v) (exp.f32 6931/10000))) (exp.f32 6931/10000))))
(-.f32 (fma.f32 -1/6 (.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3) (exp.f32 6931/10000)) (fma.f32 1/2 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 2) v)) (exp.f32 6931/10000))) (*.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (exp.f32 6931/10000)))
(exp.f32 6931/10000)
(+.f32 (.f32 -1 (/.f32 (.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) v)) (exp.f32 6931/10000))
(fma.f32 -1 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 v (exp.f32 6931/10000))) (exp.f32 6931/10000))
(-.f32 (exp.f32 6931/10000) (*.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) v)) (+.f32 (exp.f32 6931/10000) (.f32 1/2 (/.f32 (.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 2)))))
(fma.f32 -1 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 v (exp.f32 6931/10000))) (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 2) (/.f32 (*.f32 v v) (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 sinTheta_i sinTheta_O 1) 2) v)) (exp.f32 6931/10000)) (.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)) v)) (+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 3) (exp.f32 6931/10000)) (pow.f32 v 3))) (+.f32 (exp.f32 6931/10000) (.f32 1/2 (/.f32 (.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 2))))))
(fma.f32 -1 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 v (exp.f32 6931/10000))) (fma.f32 -1/6 (/.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 3) (/.f32 (pow.f32 v 3) (exp.f32 6931/10000))) (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 2) (/.f32 (*.f32 v v) (exp.f32 6931/10000))) (exp.f32 6931/10000))))
(-.f32 (fma.f32 -1/6 (.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3) (exp.f32 6931/10000)) (fma.f32 1/2 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 2) v)) (exp.f32 6931/10000))) (*.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (exp.f32 6931/10000)))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(fma.f32 -1 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(-.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 (/.f32 sinTheta_i v) (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(fma.f32 -1 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v) (fma.f32 1/2 (/.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (.f32 v v) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 sinTheta_O sinTheta_O)))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 sinTheta_O sinTheta_O))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (.f32 (/.f32 sinTheta_i v) (*.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 (pow.f32 sinTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (*.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(fma.f32 -1 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (-.f32 6931/10000 (/.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 1 v))) (pow.f32 sinTheta_O 3)))) (fma.f32 1/2 (/.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (.f32 v v) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 sinTheta_O sinTheta_O)))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(-.f32 (fma.f32 -1/6 (.f32 (pow.f32 (/.f32 sinTheta_i v) 3) (.f32 (exp.f32 (-.f32 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 6931/10000 (/.f32 1 v))) (.f32 sinTheta_O sinTheta_O))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (.f32 (/.f32 sinTheta_i v) (*.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(fma.f32 -1 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(-.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 (/.f32 sinTheta_i v) (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(fma.f32 -1 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v) (fma.f32 1/2 (/.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (.f32 v v) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 sinTheta_O sinTheta_O)))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 sinTheta_O sinTheta_O))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (.f32 (/.f32 sinTheta_i v) (*.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 sinTheta_i 3) (.f32 (pow.f32 sinTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (*.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(fma.f32 -1 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (-.f32 6931/10000 (/.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 1 v))) (pow.f32 sinTheta_O 3)))) (fma.f32 1/2 (/.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (.f32 v v) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 sinTheta_O sinTheta_O)))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(-.f32 (fma.f32 -1/6 (.f32 (pow.f32 (/.f32 sinTheta_i v) 3) (.f32 (exp.f32 (-.f32 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 6931/10000 (/.f32 1 v))) (.f32 sinTheta_O sinTheta_O))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (.f32 (/.f32 sinTheta_i v) (*.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)
(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
6931/10000
(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
6931/10000
(+.f32 6931/10000 (.f32 -1 (/.f32 (-.f32 1 (.f32 -1 (*.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(+.f32 6931/10000 (.f32 -1 (/.f32 (-.f32 1 (.f32 -1 (*.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(+.f32 6931/10000 (.f32 -1 (/.f32 (-.f32 1 (.f32 -1 (*.f32 sinTheta_i sinTheta_O))) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (/.f32 1 v))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (/.f32 1 v))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (/.f32 1 v))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))
(neg.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 1 v))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 1 v))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 1 v))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))
(neg.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 1 v))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 1 v))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 1 v))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (/.f32 1 v))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (/.f32 1 v))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (/.f32 1 v))
(+.f32 6931/10000 (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
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(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v)) 2)
(/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v)))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)
(pow.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))))) -1)
(/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v)))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)
(neg.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) (neg.f32 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v)))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v) 2))
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v)))) v) 2))
(fabs.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v))
(log.f32 (exp.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v)))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v))))
(/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v)))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v) 3))
(/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v)))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) 3) (pow.f32 v 3)))
(/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v)))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) 3) (pow.f32 v -3)))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v)))) 3) (pow.f32 v -3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 3) (pow.f32 v -3)))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v)))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v)))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)
(exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))) (log.f32 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v)))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)
(exp.f32 (.f32 (-.f32 (-.f32 6931/10000 (.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))) (log.f32 v)) 1))
(/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v)))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)

localize38.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 17 computations (15% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite43.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`pow1_binary32`
496×	`add-sqr-sqrt_binary32`
478×	`add-log-exp_binary32`
478×	`log1p-expm1-u_binary32`
478×	`expm1-log1p-u_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	102	6
2	1267	6

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

445×	`fma-neg_binary32`
398×	`associate-l_binary32`
372×	`associate-/r/_binary32`
343×	`associate-r_binary32`
258×	`distribute-rgt-neg-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	388
1	189	304
2	570	229
3	3319	226
4	7274	226

Stop Event

1×	node limit

Counts

30 → 38

Calls

Call 1

Inputs
(-.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) 1)
(*.f32 (exp.f32 6931/10000) (/.f32 1 v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1)
(*.f32 1 (/.f32 (exp.f32 6931/10000) v))
(.f32 (cbrt.f32 (exp.f32 6931/5000)) (.f32 (cbrt.f32 (exp.f32 6931/10000)) (/.f32 1 v)))
(*.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) (pow.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) 2))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) 2) (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)))
(.f32 (sqrt.f32 (exp.f32 6931/10000)) (.f32 (sqrt.f32 (exp.f32 6931/10000)) (/.f32 1 v)))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 6931/10000) v)) (sqrt.f32 (/.f32 (exp.f32 6931/10000) v)))
(*.f32 (neg.f32 (exp.f32 6931/10000)) (/.f32 1 (neg.f32 v)))
(*.f32 (/.f32 1 v) (exp.f32 6931/10000))
(*.f32 (/.f32 (cbrt.f32 (exp.f32 6931/5000)) 1) (/.f32 (cbrt.f32 (exp.f32 6931/10000)) v))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 6931/10000)) 1) (/.f32 (sqrt.f32 (exp.f32 6931/10000)) v))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (exp.f32 6931/10000) (cbrt.f32 v)))
(*.f32 (/.f32 (cbrt.f32 (exp.f32 6931/5000)) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 6931/10000)) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (exp.f32 6931/10000)) (cbrt.f32 v)))
(*.f32 (/.f32 1 (sqrt.f32 v)) (/.f32 (exp.f32 6931/10000) (sqrt.f32 v)))
(*.f32 (/.f32 (cbrt.f32 (exp.f32 6931/5000)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (exp.f32 6931/10000)) (sqrt.f32 v)))
(pow.f32 (/.f32 (exp.f32 6931/10000) v) 1)
(pow.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) v) 3) 1/3)
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) 3)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 6931/10000) v)) 2)
(pow.f32 (/.f32 v (exp.f32 6931/10000)) -1)
(neg.f32 (/.f32 (exp.f32 6931/10000) (neg.f32 v)))
(sqrt.f32 (/.f32 (exp.f32 6931/5000) (*.f32 v v)))
(log.f32 (exp.f32 (/.f32 (exp.f32 6931/10000) v)))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) v) 3))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 6931/10000) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 6931/10000) v)))
(exp.f32 (-.f32 6931/10000 (log.f32 v)))

Outputs
(-.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) 1)
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (exp.f32 6931/10000) (/.f32 1 v))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1)
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(*.f32 1 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(.f32 (cbrt.f32 (exp.f32 6931/5000)) (.f32 (cbrt.f32 (exp.f32 6931/10000)) (/.f32 1 v)))
(.f32 (cbrt.f32 (exp.f32 6931/5000)) (.f32 (/.f32 1 v) (cbrt.f32 (exp.f32 6931/10000))))
(*.f32 (cbrt.f32 (exp.f32 6931/5000)) (/.f32 (cbrt.f32 (exp.f32 6931/10000)) v))
(*.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) (pow.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) 2))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) 2) (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(.f32 (sqrt.f32 (exp.f32 6931/10000)) (.f32 (sqrt.f32 (exp.f32 6931/10000)) (/.f32 1 v)))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (sqrt.f32 (/.f32 (exp.f32 6931/10000) v)) (sqrt.f32 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (neg.f32 (exp.f32 6931/10000)) (/.f32 1 (neg.f32 v)))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (/.f32 1 v) (exp.f32 6931/10000))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (/.f32 (cbrt.f32 (exp.f32 6931/5000)) 1) (/.f32 (cbrt.f32 (exp.f32 6931/10000)) v))
(.f32 (cbrt.f32 (exp.f32 6931/5000)) (.f32 (/.f32 1 v) (cbrt.f32 (exp.f32 6931/10000))))
(*.f32 (cbrt.f32 (exp.f32 6931/5000)) (/.f32 (cbrt.f32 (exp.f32 6931/10000)) v))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 6931/10000)) 1) (/.f32 (sqrt.f32 (exp.f32 6931/10000)) v))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (exp.f32 6931/10000) (cbrt.f32 v)))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (/.f32 (cbrt.f32 (exp.f32 6931/5000)) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)))
(*.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) (/.f32 (cbrt.f32 (exp.f32 6931/5000)) (pow.f32 (cbrt.f32 v) 2)))
(*.f32 (/.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (exp.f32 6931/5000)))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 6931/10000)) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (exp.f32 6931/10000)) (cbrt.f32 v)))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (/.f32 1 (sqrt.f32 v)) (/.f32 (exp.f32 6931/10000) (sqrt.f32 v)))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(*.f32 (/.f32 (cbrt.f32 (exp.f32 6931/5000)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (exp.f32 6931/10000)) (sqrt.f32 v)))
(.f32 (cbrt.f32 (exp.f32 6931/5000)) (.f32 (/.f32 1 v) (cbrt.f32 (exp.f32 6931/10000))))
(*.f32 (cbrt.f32 (exp.f32 6931/5000)) (/.f32 (cbrt.f32 (exp.f32 6931/10000)) v))
(pow.f32 (/.f32 (exp.f32 6931/10000) v) 1)
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(pow.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) v) 3) 1/3)
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) 3)
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 6931/10000) v)) 2)
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(pow.f32 (/.f32 v (exp.f32 6931/10000)) -1)
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(neg.f32 (/.f32 (exp.f32 6931/10000) (neg.f32 v)))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(sqrt.f32 (/.f32 (exp.f32 6931/5000) (*.f32 v v)))
(fabs.f32 (/.f32 (exp.f32 6931/10000) v))
(log.f32 (exp.f32 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) v) 3))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)
(exp.f32 (-.f32 6931/10000 (log.f32 v)))
(+.f32 (+.f32 1 (/.f32 (exp.f32 6931/10000) v)) -1)
(+.f32 (/.f32 (exp.f32 6931/10000) v) 0)
(/.f32 (exp.f32 6931/10000) v)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
✓	0.1b	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
✓	0.2b	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))
✓	6.9b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 71 to 36 computations (49.3% saved)

series16.0ms (0.1%)

Counts

4 → 61

Calls

36 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`log-prod_binary32`
469×	`fma-def_binary32`
291×	`fma-neg_binary32`
291×	`expm1-udef_binary32`
291×	`log1p-udef_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	332	53
2	4706	47

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (cbrt.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) 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 cosTheta_O) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))) (#(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 cosTheta_O) v)) (pow.f32 (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))) (#(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 cosTheta_O) v)) (sqrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))) (#(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 cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 cosTheta_O (sqrt.f32 v)) (/.f32 cosTheta_i (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 cosTheta_i cosTheta_O) (cbrt.f32 (pow.f32 v -2))) (cbrt.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v -1/2)) (pow.f32 v -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (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 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (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 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (/.f32 1/2 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 v (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (.f32 v 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (.f32 (.f32 v 2) (exp.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 1/2) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 1/2)) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) 1) (.f32 (exp.f32 (/.f32 1 v)) (.f32 v 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) 1/2) (.f32 (exp.f32 (/.f32 1 v)) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) -1/2) (.f32 (exp.f32 (/.f32 1 v)) (neg.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1/2 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))) (.f32 v (exp.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1/2 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))) (.f32 (neg.f32 v) (exp.f32 (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 1/2) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -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 (fma.f32 cosTheta_i cosTheta_O -1) v))) 1/2) (sqrt.f32 v)) (sqrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 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 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) -1/2) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))) (exp.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (/.f32 1/2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (/.f32 1/2 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simplify151.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

307×	`associate-/l*_binary32`
258×	`cube-prod_binary32`
255×	`associate-r_binary32`
243×	`div-sub_binary32`
234×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	4520
1	1188	4255
2	4886	4235

Stop Event

1×	node limit

Counts

229 → 264

Calls

Call 1

Inputs
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (pow.f32 cosTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (pow.f32 cosTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (pow.f32 cosTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))
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(cbrt.f32 (pow.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (/.f32 1/2 v)) 3))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 3) (pow.f32 (/.f32 1/2 v) 3)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (/.f32 1/2 v))))
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(exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) (log.f32 (/.f32 1/2 v))))
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(+.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)))))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))) 1)
(*.f32 1 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 1)
(*.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (exp.f32 (/.f32 -1 v)))
(*.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (/.f32 1 (exp.f32 (/.f32 1 v))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 2)))
(*.f32 (cbrt.f32 (pow.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)))))
(*.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)))))
(/.f32 1 (/.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))))
(/.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (exp.f32 (/.f32 1 v)))
(/.f32 (neg.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))) (neg.f32 (exp.f32 (/.f32 1 v))))
(pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 1)
(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 3) 1/3)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) 3)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))) 1)
(-.f32 (/.f32 48038761/100000000 (-.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2) (-.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(*.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000) 1)
(*.f32 1 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))
(*.f32 (cbrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) 2))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) 2) (cbrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)))
(*.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)))
(.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 3)) (/.f32 1 (fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000) 48038761/100000000)))
(.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)) (/.f32 1 (-.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(/.f32 1 (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000) 48038761/100000000) (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 3))))
(/.f32 1 (/.f32 (-.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (-.f32 48038761/100000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 3)) (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000) 48038761/100000000))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 3)) (+.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2) (-.f32 48038761/100000000 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 6931/10000))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)) (-.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 3))) (neg.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000) 48038761/100000000)))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))) (neg.f32 (-.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2) 48038761/100000000) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000))
(pow.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000) 1)
(pow.f32 (cbrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) 3)
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) 2)
(pow.f32 (pow.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000) 3) 1/3)
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000) 2))
(log.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)))
(log.f32 (+.f32 1 (expm1.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) 3))
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(exp.f32 (log.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) 1))
(fma.f32 cosTheta_i (/.f32 1 (/.f32 v cosTheta_O)) 6931/10000)
(fma.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 1 v)) 6931/10000)
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 1 v)) 6931/10000)
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 1 v) 6931/10000)
(fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 1 6931/10000)
(fma.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 6931/10000)
(fma.f32 (/.f32 1 v) (*.f32 cosTheta_i cosTheta_O) 6931/10000)
(fma.f32 (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (pow.f32 (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 2) (.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (/.f32 1 v)) 6931/10000)
(fma.f32 (sqrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (sqrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 6931/10000)
(fma.f32 (pow.f32 v -1/2) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sqrt.f32 v)) 6931/10000)
(fma.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (/.f32 1 v)) 6931/10000)
(fma.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 -1 v) 6931/10000)
(fma.f32 (/.f32 cosTheta_i 1) (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (/.f32 cosTheta_O 1) (/.f32 cosTheta_i v) 6931/10000)
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)
(fma.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 2) 1) (/.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) v) 6931/10000)
(fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) 1) (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) v) 6931/10000)
(fma.f32 (/.f32 cosTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_O (cbrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 cosTheta_O (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_i (cbrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (cbrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 6931/10000)
(fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (cbrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 cosTheta_O (sqrt.f32 v)) (/.f32 cosTheta_i (sqrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) 6931/10000)
(fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (cbrt.f32 (pow.f32 v -2))) (cbrt.f32 (/.f32 1 v)) 6931/10000)
(fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v -1/2)) (pow.f32 v -1/2) 6931/10000)

Outputs
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(/.f32 (*.f32 1/2 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(.f32 1/2 (+.f32 (/.f32 cosTheta_i (/.f32 (.f32 v v) (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) cosTheta_O))) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(.f32 1/2 (+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (pow.f32 cosTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
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(fma.f32 1/2 (+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))) (/.f32 1/4 (/.f32 (pow.f32 v 3) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)))))))
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(fma.f32 1/4 (/.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (pow.f32 v 3) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (.f32 cosTheta_O cosTheta_O)))) (fma.f32 1/2 (/.f32 cosTheta_i (/.f32 (.f32 v v) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) cosTheta_O))) (fma.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 1/12 (/.f32 (pow.f32 cosTheta_i 3) (/.f32 (pow.f32 v 4) (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 cosTheta_O 3))))))))
(fma.f32 1/4 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (pow.f32 v 3)) (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (.f32 cosTheta_O cosTheta_O))) (fma.f32 1/2 (+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))) (/.f32 (.f32 1/12 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3))) (pow.f32 v 4))))
(fma.f32 1/4 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 6)) (pow.f32 v 3)) (fma.f32 1/2 (+.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))) (/.f32 (.f32 1/12 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3))) (pow.f32 v 4))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) v))
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(/.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (exp.f32 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(/.f32 (neg.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))) (neg.f32 (exp.f32 (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 1)
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 3) 1/3)
(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)))) 3)
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) 2)
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 2))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(log.f32 (exp.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)))
(log.f32 (+.f32 1 (expm1.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)))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 3))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(expm1.f32 (log1p.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)))
(log1p.f32 (expm1.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)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))) 1)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(-.f32 (/.f32 48038761/100000000 (-.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (/.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2) (-.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2)) (-.f32 6931/10000 (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) -48038761/100000000) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) -6931/10000))
(*.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000) 1)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(*.f32 1 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(*.f32 (cbrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) 2))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) 2) (cbrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(*.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)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 3)) (/.f32 1 (fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000) 48038761/100000000)))
(.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 332956652491/1000000000000) (/.f32 1 (fma.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000) 48038761/100000000)))
(/.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 332956652491/1000000000000) (fma.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) -6931/10000) 48038761/100000000))
(.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)) (/.f32 1 (-.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2)) (-.f32 6931/10000 (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) -48038761/100000000) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) -6931/10000))
(/.f32 1 (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000) 48038761/100000000) (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 3))))
(.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 332956652491/1000000000000) (/.f32 1 (fma.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000) 48038761/100000000)))
(/.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 332956652491/1000000000000) (fma.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) -6931/10000) 48038761/100000000))
(/.f32 1 (/.f32 (-.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (-.f32 48038761/100000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2)) (-.f32 6931/10000 (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) -48038761/100000000) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) -6931/10000))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 3)) (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000) 48038761/100000000))
(.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 332956652491/1000000000000) (/.f32 1 (fma.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000) 48038761/100000000)))
(/.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 332956652491/1000000000000) (fma.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) -6931/10000) 48038761/100000000))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 3)) (+.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2) (-.f32 48038761/100000000 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 6931/10000))))
(/.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 332956652491/1000000000000) (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (-.f32 48038761/100000000 (.f32 6931/10000 (.f32 cosTheta_i (/.f32 cosTheta_O v))))))
(/.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 332956652491/1000000000000) (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 48038761/100000000 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) -6931/10000))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2)) (-.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2)) (-.f32 6931/10000 (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) -48038761/100000000) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) -6931/10000))
(/.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 3))) (neg.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000) 48038761/100000000)))
(.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 332956652491/1000000000000) (/.f32 1 (fma.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000) 48038761/100000000)))
(/.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 332956652491/1000000000000) (fma.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) -6931/10000) 48038761/100000000))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) 2))) (neg.f32 (-.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2)) (-.f32 6931/10000 (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) -48038761/100000000) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) -6931/10000))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 2) 48038761/100000000) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O -6931/10000))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2)) (-.f32 6931/10000 (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) -48038761/100000000) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) -6931/10000))
(pow.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000) 1)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(pow.f32 (cbrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) 3)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) 2)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(pow.f32 (pow.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000) 3) 1/3)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000) 2))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(log.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(cbrt.f32 (pow.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000) 3))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(log1p.f32 (expm1.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(exp.f32 (log.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)) 1))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 cosTheta_i (/.f32 1 (/.f32 v cosTheta_O)) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 1 v)) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 1 v)) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 1 v) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 1 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 1 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (/.f32 1 v) (*.f32 cosTheta_i cosTheta_O) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (pow.f32 (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 2) (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 2) (.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (/.f32 1 v)) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (sqrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (sqrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (pow.f32 v -1/2) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sqrt.f32 v)) 6931/10000)
(fma.f32 (pow.f32 v -1/2) (*.f32 cosTheta_i (/.f32 cosTheta_O (sqrt.f32 v))) 6931/10000)
(fma.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (/.f32 1 v)) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 -1 v) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (/.f32 cosTheta_i 1) (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (/.f32 cosTheta_O 1) (/.f32 cosTheta_i v) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 2) 1) (/.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) v) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) 1) (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) v) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (/.f32 cosTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_O (cbrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 cosTheta_O (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_i (cbrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 cosTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_O (cbrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (cbrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 cosTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_O (cbrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) 6931/10000)
(fma.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) 6931/10000)
(fma.f32 (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 2) (pow.f32 (cbrt.f32 v) 2)) 6931/10000)
(fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (cbrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 cosTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_O (cbrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 cosTheta_O (sqrt.f32 v)) (/.f32 cosTheta_i (sqrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) 6931/10000)
(fma.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)) 6931/10000)
(fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (cbrt.f32 (pow.f32 v -2))) (cbrt.f32 (/.f32 1 v)) 6931/10000)
(fma.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (cbrt.f32 (pow.f32 v -2)) (cbrt.f32 (/.f32 1 v))) 6931/10000)
(fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v -1/2)) (pow.f32 v -1/2) 6931/10000)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)

localize79.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
✓	0.2b	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	0.3b	(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓	1.0b	(.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))

Compiler

Compiled 111 to 42 computations (62.2% saved)

series35.0ms (0.3%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	cosTheta_i	@	0	(.f32 (.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
2.0ms	sinTheta_O	@	0	(.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
1.0ms	v	@	inf	(.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
1.0ms	v	@	inf	(.f32 (.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
1.0ms	v	@	-inf	(.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

414×	`expm1-udef_binary32`
414×	`log1p-udef_binary32`
393×	`fma-neg_binary32`
234×	`add-sqr-sqrt_binary32`
228×	`pow1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	74
1	468	68
2	6371	68

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

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

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

simplify138.0ms (1%)

Algorithm

1×	egg-herbie

Rules

334×	`times-frac_binary32`
299×	`associate-/l*_binary32`
296×	`associate-r_binary32`
275×	`fma-def_binary32`
204×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	7721
1	1285	7392
2	5846	7335

Stop Event

1×	node limit

Counts

278 → 213

Calls

Call 1

Inputs
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(+.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 cosTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (pow.f32 v 2))) (+.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 cosTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (pow.f32 v 2))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 cosTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (pow.f32 v 3))) (+.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) v))))
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(.f32 1/2 (/.f32 (.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) 1)
(/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000))) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 1)
(pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 3) 1/3)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000)))) 3)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000)))) 2)
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 3))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v)) 3) (pow.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) 3)))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) 3) (pow.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v)) 3)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(exp.f32 (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) 1)
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 1 (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) 1) v)
(/.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (cbrt.f32 (.f32 v v))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (sqrt.f32 v)) (sqrt.f32 v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) (neg.f32 v))
(pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 1)
(pow.f32 (cbrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) 3)
(pow.f32 (sqrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) 2)
(pow.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 3))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (log.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (.f32 (log.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 1))
(-.f32 (exp.f32 (log1p.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) 1)
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 1 (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (cbrt.f32 (.f32 v v))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (sqrt.f32 v)) (sqrt.f32 v))
(/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v))
(/.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i)) (neg.f32 v))
(pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 1)
(pow.f32 (cbrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) 3)
(pow.f32 (sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) 2)
(pow.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 3) 1/3)
(sqrt.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 2))
(log.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))
(cbrt.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 3))
(expm1.f32 (log1p.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))
(log1p.f32 (expm1.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))
(exp.f32 (log.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))
(exp.f32 (*.f32 (log.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v)))) 1)
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (*.f32 v 2))
(/.f32 1 (/.f32 v (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 1/2)))
(/.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 1/2) v)
(/.f32 (neg.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 1/2)) (neg.f32 v))
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 1/2) 1) v)
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 1/2) (cbrt.f32 (.f32 v v))) (cbrt.f32 v))
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 1/2) (sqrt.f32 v)) (sqrt.f32 v))
(/.f32 (.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (/.f32 1/2 v))) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(/.f32 (.f32 -1/2 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000)))) (neg.f32 v))
(/.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) -1/2) (neg.f32 v))
(pow.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v)) 1)
(pow.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v)) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))) 3)
(pow.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))) 2)
(sqrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v)) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v)))))
(cbrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v)) 3))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 3) (pow.f32 (/.f32 1/2 v) 3)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 3)))
(expm1.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))))
(log1p.f32 (expm1.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 1))

Outputs
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (fma.f32 -1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 6931/10000 (/.f32 -1 v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(+.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) v))
(+.f32 (exp.f32 (+.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (.f32 (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) cosTheta_O)) v))
(+.f32 (exp.f32 (fma.f32 -1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 6931/10000 (/.f32 -1 v)))) (.f32 (/.f32 cosTheta_i v) (.f32 (exp.f32 (fma.f32 -1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 6931/10000 (/.f32 -1 v)))) cosTheta_O)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (/.f32 cosTheta_i v) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 cosTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (pow.f32 v 2))) (+.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i (*.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) v)))
(fma.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (.f32 v v) (.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 cosTheta_O cosTheta_O)) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (+.f32 (exp.f32 (+.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))))
(+.f32 (.f32 (/.f32 cosTheta_i v) (.f32 (exp.f32 (fma.f32 -1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 6931/10000 (/.f32 -1 v)))) cosTheta_O)) (fma.f32 1/2 (/.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O))) (exp.f32 (fma.f32 -1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 6931/10000 (/.f32 -1 v))))) (*.f32 v v)) (exp.f32 (fma.f32 -1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 6931/10000 (/.f32 -1 v))))))
(+.f32 (.f32 (/.f32 cosTheta_i v) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O)) (fma.f32 1/2 (/.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O))) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (*.f32 v v)) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 cosTheta_O 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (pow.f32 v 2))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 cosTheta_O 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (pow.f32 v 3))) (+.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) v))))
(fma.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (.f32 v v) (.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 cosTheta_O cosTheta_O)) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (fma.f32 1/6 (/.f32 (pow.f32 cosTheta_i 3) (/.f32 (pow.f32 v 3) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 cosTheta_O 3))))) (+.f32 (exp.f32 (+.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 v (.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))))
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(.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 6931/10000 (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 -1 v)))) v))
(expm1.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 6931/10000 (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 -1 v)))) v))
(log1p.f32 (expm1.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 6931/10000 (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 -1 v)))) v))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 6931/10000 (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 -1 v)))) v))
(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 1))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 6931/10000 (/.f32 1 v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 -1 v)))) v))

localize83.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))
✓	0.1b	(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
✓	0.2b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
✓	0.3b	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series35.0ms (0.3%)

Counts

4 → 100

Calls

30 calls:

Time	Variable		Point	Expression
18.0ms	cosTheta_O	@	inf	(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))
1.0ms	cosTheta_i	@	0	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
1.0ms	cosTheta_O	@	inf	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
1.0ms	cosTheta_i	@	inf	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
1.0ms	cosTheta_O	@	0	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

719×	`log-prod_binary32`
385×	`pow2_binary32`
273×	`pow1/3_binary32`
267×	`expm1-udef_binary32`
267×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	306	55
2	3717	55

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

Inputs
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.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 (exp.f32 6931/10000)) (/.f32 1/2 v))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (exp.f32 6931/10000)) (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (exp.f32 6931/10000)) (/.f32 1/2 v)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (exp.f32 6931/10000)) (/.f32 1/2 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 (.f32 (exp.f32 6931/5000) (/.f32 1/4 (.f32 v v))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 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 (pow.f32 (/.f32 1/2 v) 3) (exp.f32 20793/10000)) 1/3)))) (#(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 v (.f32 1/2 (exp.f32 6931/10000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (exp.f32 6931/5000) (/.f32 1/4 (.f32 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (exp.f32 6931/10000)) (/.f32 1/2 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 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (/.f32 1/2 v) 3) (exp.f32 20793/10000)))))) (#(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 expm1.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))))) (#(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 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 +.f32 0 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))) (.f32 v 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1/2 (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1/2 (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 1/2 (exp.f32 6931/10000)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (.f32 1/2 (exp.f32 6931/10000))) v)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 3) (pow.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 3) (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 3) (pow.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 3) (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))))) 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simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

333×	`sqr-pow_binary32`
285×	`cube-prod_binary32`
283×	`associate-r_binary32`
274×	`log-prod_binary32`
256×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	428	4078
1	1104	3959
2	4864	3932

Stop Event

1×	node limit

Counts

235 → 236

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))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 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 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 3) (exp.f32 6931/10000)) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2) (exp.f32 6931/10000)) (pow.f32 v 3))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/12 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) 3) (exp.f32 6931/10000)) (pow.f32 v 4))))))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 2)))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 2)))) (pow.f32 v 3))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 3)))) (pow.f32 v 4))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2))))))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
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Outputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
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(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) v))
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(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 2)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(pow.f32 (pow.f32 (exp.f32 1) (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))) (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(pow.f32 (pow.f32 (E.f32) (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))) 1) (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))) (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))) (cbrt.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (cbrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 2))) (sqrt.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (fabs.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (sqrt.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (sqrt.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))) (sqrt.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))) (sqrt.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(sqrt.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 2))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(log.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(cbrt.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 3))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(expm1.f32 (log1p.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(log1p.f32 (expm1.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(+.f32 (/.f32 -1 v) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) 0)
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 -1 v))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(+.f32 (.f32 1/2 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (.f32 1/2 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(+.f32 (.f32 1/3 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (.f32 2 (*.f32 1/3 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(+.f32 0 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(+.f32 (.f32 2 (.f32 1/3 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))) (*.f32 1/3 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(+.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 1) (/.f32 -1 v))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(-.f32 (exp.f32 (log1p.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))) 1)
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) 1)
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(*.f32 1 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(*.f32 (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 2))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 2) (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(*.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(.f32 3 (.f32 1/3 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(.f32 1/3 (.f32 3 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(.f32 2 (.f32 1/2 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(/.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (/.f32 -1 v) 3)) (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (-.f32 (/.f32 1 (.f32 v v)) (.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 -1 v)))))
(/.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (/.f32 -1 (pow.f32 v 3))) (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (-.f32 (/.f32 1 (.f32 v v)) (.f32 (/.f32 -1 v) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))))
(/.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (/.f32 -1 (pow.f32 v 3))) (-.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (/.f32 1 (.f32 v v))) (/.f32 (.f32 cosTheta_i (neg.f32 (/.f32 cosTheta_O v))) v)))
(/.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (/.f32 -1 (pow.f32 v 3))) (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (/.f32 1 (.f32 v v)) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) v))))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (/.f32 1 (.f32 v v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 -1 v)))
(/.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (/.f32 -1 (.f32 v v))) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 1 v)))
(pow.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) 1)
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(pow.f32 (pow.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) 2) 1/2)
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(pow.f32 (pow.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) 3) 1/3)
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 3)
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 2)
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(sqrt.f32 (pow.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) 2))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(log.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(log.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(log.f32 (.f32 (+.f32 1 (expm1.f32 (/.f32 -1 v))) (exp.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(log.f32 (.f32 (exp.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (+.f32 1 (expm1.f32 (/.f32 -1 v)))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) 3))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(exp.f32 (log.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)
(exp.f32 (*.f32 (log.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 1))
(/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)

eval848.0ms (6.3%)

Compiler: Compiled 29956 to 19161 computations (36% saved)

prune400.0ms (3%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1040	14	1054
Fresh	4	3	7
Picked	1	0	1
Done	1	3	4
Total	1046	20	1066

Error

0.0b

Counts

1066 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))) 3)
	30.5b	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
	0.5b	(.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 3) 1/3) (/.f32 1/2 v))
	0.3b	(*.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
▶	0.2b	(.f32 (pow.f32 (E.f32) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 6931/10000 (/.f32 -1 v))))) (/.f32 1/2 v))
▶	30.5b	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	0.5b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 3) 1/3))
	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 2)) (cbrt.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))
▶	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
▶	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 -1 v)))
	2.6b	(.f32 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 1/2 v))
✓	0.2b	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))
	0.3b	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
	0.2b	(.f32 1/2 (/.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v))
	1.8b	(.f32 1/2 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) v))
	0.2b	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
✓	0.2b	(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
✓	30.5b	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
▶	0.2b	(.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))) (log.f32 v))))
	0.2b	(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 1 v)))

Compiler

Compiled 817 to 646 computations (20.9% saved)

localize71.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 81 to 53 computations (34.6% saved)

series52.0ms (0.4%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
26.0ms	v	@	0	(-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))
6.0ms	sinTheta_i	@	0	(-.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))) (log.f32 v))
3.0ms	v	@	-inf	(-.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))) (log.f32 v))
2.0ms	v	@	0	(-.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))) (log.f32 v))
2.0ms	v	@	inf	(-.f32 (-.f32 6931/10000 (*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))) (log.f32 v))

rewrite106.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`prod-diff_binary32`
645×	`log-prod_binary32`
367×	`fma-def_binary32`
247×	`log1p-udef_binary32`
246×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	281	51
2	3733	51

Stop Event

1×	node limit

Counts

4 → 209

Calls

Call 1

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

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

simplify184.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-neg_binary32`
360×	`log-prod_binary32`
258×	`cube-prod_binary32`
253×	`exp-prod_binary32`
228×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	500	7403
1	1272	6954
2	5309	6938

Stop Event

1×	node limit

Counts

353 → 340

Calls

Call 1

Inputs
(.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (log.f32 v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (log.f32 v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (log.f32 v))
(-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 -1 (log.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 -1 (log.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 -1 (log.f32 (/.f32 1 v))))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (+.f32 (/.f32 1 v) (log.f32 v)))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 1 v) (log.f32 v)))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (+.f32 (/.f32 1 v) (log.f32 v)))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 1 v) (log.f32 v)))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 1 v) (log.f32 v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))
(exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (.f32 -1 (/.f32 (.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (+.f32 1 (*.f32 sinTheta_i sinTheta_O))) v)))
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(/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 1) v)
(/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))
(/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v) 1)
(pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))
(pow.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v) 3) 1/3)
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)) 3)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) 2)) (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))) (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v) 2))
(log.f32 (exp.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v) 3))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)))
(+.f32 6931/10000 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v))
(+.f32 6931/10000 (*.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v) 1))
(+.f32 0 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(+.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/10000)
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))) (log.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))) (cbrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))) (log.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))))
(*.f32 1 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(*.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 1)
(*.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 2))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 2) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(*.f32 (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(*.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3)) (/.f32 1 (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000)))
(*.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2)) (/.f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(/.f32 1 (/.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000) (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3))))
(/.f32 1 (/.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2))))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2)) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 (neg.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3))) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000)))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2))) (neg.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v) 3)) (+.f32 48038761/100000000 (-.f32 (.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v) (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)) (.f32 6931/10000 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)))))
(/.f32 (-.f32 48038761/100000000 (*.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v) (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v))) (-.f32 6931/10000 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)))
(pow.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 1)
(pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 3)
(pow.f32 (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 2)
(pow.f32 (pow.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 3) 1/3)
(sqrt.f32 (pow.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2))
(log.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(cbrt.f32 (pow.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 3))
(expm1.f32 (log1p.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(log1p.f32 (expm1.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(exp.f32 (log.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(exp.f32 (*.f32 (log.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 1))
(fma.f32 1 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/10000)
(fma.f32 (/.f32 1 v) (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 6931/10000)
(fma.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 -1 v) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2) (neg.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 6931/10000)
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 6931/10000)
(fma.f32 -1 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 6931/10000)
(fma.f32 (/.f32 -1 v) (fma.f32 sinTheta_i sinTheta_O 1) 6931/10000)
(fma.f32 (*.f32 (cbrt.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)) (cbrt.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v))) (cbrt.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)) 6931/10000)
(fma.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)) 6931/10000)
(fma.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (/.f32 1 v) 6931/10000)
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2)) (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 6931/10000)
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 6931/10000)
(fma.f32 (*.f32 (/.f32 -1 v) 1) (fma.f32 sinTheta_i sinTheta_O 1) 6931/10000)
(fma.f32 (*.f32 (/.f32 -1 v) (cbrt.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 2))) (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 6931/10000)
(fma.f32 (*.f32 (/.f32 -1 v) (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1))) (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 6931/10000)
(+.f32 0 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 1 v)) (/.f32 1 v))
(+.f32 (.f32 (/.f32 1 v) (.f32 sinTheta_i sinTheta_O)) (/.f32 1 v))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 1)
(/.f32 1 (/.f32 v (fma.f32 sinTheta_i sinTheta_O 1)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(/.f32 (cbrt.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 2)) (/.f32 v (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1))))
(/.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (/.f32 v (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1))))
(/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (neg.f32 v))
(/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (sqrt.f32 v)) (sqrt.f32 v))
(/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) 1) v)
(/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))
(/.f32 (*.f32 -1 (fma.f32 sinTheta_i sinTheta_O 1)) (neg.f32 v))
(/.f32 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) -1) (neg.f32 v))
(pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 1)
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 3)
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2)
(pow.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3) 1/3)
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2))
(log.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(exp.f32 (log.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 1))
(fma.f32 (/.f32 1 v) (*.f32 sinTheta_i sinTheta_O) (/.f32 1 v))
(fma.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 1 v) (/.f32 1 v))

Outputs
(.f32 -1 (/.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 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (log.f32 v))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (log.f32 v))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (log.f32 v))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (neg.f32 (log.f32 v)))
(-.f32 6931/10000 (log.f32 v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 -1 (log.f32 (/.f32 1 v))))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 -1 (log.f32 (/.f32 1 v))))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 -1 (log.f32 (/.f32 1 v))))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))
(-.f32 6931/10000 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)))
(-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))
(-.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)))
(-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v)))))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))
(-.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)))
(-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v)))))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))
(-.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)))
(-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v)))))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 1 v))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (fma.f32 -1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) 6931/10000) (+.f32 (log.f32 v) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (-.f32 (/.f32 -1 v) (log.f32 v)))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (fma.f32 -1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) 6931/10000) (+.f32 (log.f32 v) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (-.f32 (/.f32 -1 v) (log.f32 v)))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) 6931/10000) (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 (fma.f32 -1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) 6931/10000) (+.f32 (log.f32 v) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (-.f32 (/.f32 -1 v) (log.f32 v)))
(.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(neg.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(/.f32 (neg.f32 sinTheta_i) (/.f32 v sinTheta_O))
(-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 1 v) (log.f32 v)))
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(*.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 2))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 2) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(*.f32 (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(*.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3)) (/.f32 1 (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000)))
(/.f32 (*.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3)) 1) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000))
(*.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2)) (/.f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2)) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 1 (/.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000) (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3))))
(/.f32 (*.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3)) 1) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000))
(/.f32 1 (/.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2))))
(*.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2)) (/.f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2)) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000))
(/.f32 (*.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3)) 1) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2)) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(*.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2)) (/.f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(/.f32 (neg.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3))) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000)))
(/.f32 (+.f32 -332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3)) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000)))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2))) (neg.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2))) (+.f32 -6931/10000 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)))
(/.f32 (+.f32 -48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2)) (-.f32 -6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v) 3)) (+.f32 48038761/100000000 (-.f32 (.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v) (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)) (.f32 6931/10000 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)))))
(/.f32 (*.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3)) 1) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000))
(/.f32 (-.f32 48038761/100000000 (*.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v) (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v))) (-.f32 6931/10000 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)))
(*.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2)) (/.f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2)) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(pow.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 1)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 3)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(pow.f32 (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 2)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(pow.f32 (pow.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 3) 1/3)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(sqrt.f32 (pow.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2))
(fabs.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(log.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(cbrt.f32 (pow.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 3))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(expm1.f32 (log1p.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(log1p.f32 (expm1.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(exp.f32 (log.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(exp.f32 (*.f32 (log.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 1))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 1 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (/.f32 1 v) (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 -1 v) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2) (neg.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 -1 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (/.f32 -1 v) (fma.f32 sinTheta_i sinTheta_O 1) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (*.f32 (cbrt.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)) (cbrt.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v))) (cbrt.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v)) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (/.f32 1 v) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2)) (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (*.f32 (/.f32 -1 v) 1) (fma.f32 sinTheta_i sinTheta_O 1) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (*.f32 (/.f32 -1 v) (cbrt.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 2))) (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 6931/10000)
(fma.f32 (/.f32 (neg.f32 (cbrt.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 2))) v) (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 6931/10000)
(fma.f32 (*.f32 (/.f32 -1 v) (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1))) (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 6931/10000)
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(+.f32 0 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 1 v)) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(+.f32 (.f32 (/.f32 1 v) (.f32 sinTheta_i sinTheta_O)) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 1)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(/.f32 1 (/.f32 v (fma.f32 sinTheta_i sinTheta_O 1)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(/.f32 (cbrt.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 2)) (/.f32 v (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1))))
(*.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (/.f32 (cbrt.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O 1) 2)) v))
(/.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (/.f32 v (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1))))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (neg.f32 v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (sqrt.f32 v)) (sqrt.f32 v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) 1) v)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(/.f32 (*.f32 -1 (fma.f32 sinTheta_i sinTheta_O 1)) (neg.f32 v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(/.f32 (*.f32 (fma.f32 sinTheta_i sinTheta_O 1) -1) (neg.f32 v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 1)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 3)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(pow.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3) 1/3)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2))
(fabs.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(log.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(exp.f32 (log.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 1))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(fma.f32 (/.f32 1 v) (*.f32 sinTheta_i sinTheta_O) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(fma.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 1 v) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)

localize22.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))

Compiler

Compiled 19 to 16 computations (15.8% saved)

localize41.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f32 (/.f32 -1 v))
✓	0.2b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 -1 v)))
	0.3b	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))

Compiler

Compiled 38 to 31 computations (18.4% saved)

series3.0ms (0%)

Counts

2 → 20

Calls

6 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)))
0.0ms	v	@	-inf	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 -1 v)))
0.0ms	v	@	inf	(exp.f32 (/.f32 -1 v))
0.0ms	v	@	-inf	(exp.f32 (/.f32 -1 v))

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`log-prod_binary32`
381×	`exp-prod_binary32`
306×	`pow-prod-down_binary32`
294×	`prod-exp_binary32`
270×	`pow2_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	223	21
2	2608	21

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

498×	`fma-def_binary32`
438×	`associate-*l/_binary32`
400×	`associate-*r/_binary32`
328×	`distribute-rgt-in_binary32`
320×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	1620
1	611	1579
2	1799	1527

Stop Event

1×	node limit

Counts

101 → 123

Calls

Call 1

Inputs
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.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))))))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 0 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))) 1)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v 2))
(/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)
(/.f32 (*.f32 -1/2 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (neg.f32 v))
(/.f32 (.f32 (.f32 1/2 (exp.f32 6931/10000)) (exp.f32 (/.f32 -1 v))) v)
(/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (exp.f32 6931/10000))) v)
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 1)
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2) 1/2)
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 2)
(pow.f32 (exp.f32 1) (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (.f32 v 2))))) 2)) (cbrt.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (.f32 v 2))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (.f32 v 2)))))) (sqrt.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (.f32 v 2))))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 3))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(exp.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2)))))
(exp.f32 (.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (.f32 v 2)))) 1))
(exp.f32 (.f32 (.f32 3 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2))))) 1/3))
(exp.f32 (.f32 (.f32 1/3 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2))))) 3))
(exp.f32 (.f32 (.f32 1/2 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2))))) 2))
(exp.f32 (.f32 (.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2)))) 1) 1))
(exp.f32 (+.f32 (*.f32 (log.f32 (/.f32 1/2 v)) 1) (+.f32 6931/10000 (/.f32 -1 v))))
(exp.f32 (+.f32 (.f32 (-.f32 6931/10000 (log.f32 (.f32 v 2))) 1) (/.f32 -1 v)))
(exp.f32 (+.f32 (/.f32 -1 v) (.f32 (-.f32 6931/10000 (log.f32 (.f32 v 2))) 1)))
(exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (*.f32 (log.f32 (/.f32 1/2 v)) 1)))
(+.f32 0 (exp.f32 (/.f32 -1 v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 -1 v)))) 1)
(*.f32 (exp.f32 (/.f32 -1 v)) 1)
(*.f32 1 (exp.f32 (/.f32 -1 v)))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) (cbrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v))) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) (sqrt.f32 (exp.f32 (/.f32 -1 v))))
(.f32 (pow.f32 (exp.f32 1) (.f32 1/2 (/.f32 -1 v))) (pow.f32 (exp.f32 1) (*.f32 1/2 (/.f32 -1 v))))
(.f32 (pow.f32 (exp.f32 1) (.f32 2 (.f32 1/3 (/.f32 -1 v)))) (pow.f32 (exp.f32 1) (.f32 1/3 (/.f32 -1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(/.f32 (pow.f32 (exp.f32 1) (exp.f32 (log1p.f32 (/.f32 -1 v)))) (exp.f32 1))
(pow.f32 (exp.f32 (/.f32 -1 v)) 1)
(pow.f32 (exp.f32 -1) (/.f32 1 v))
(pow.f32 (exp.f32 -1) (*.f32 (/.f32 1 v) 1))
(pow.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v)) 1/2)
(pow.f32 (exp.f32 (*.f32 (/.f32 -1 v) 3)) 1/3)
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) 3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) 2)
(pow.f32 (exp.f32 1) (/.f32 -1 v))
(pow.f32 (exp.f32 (/.f32 1 v)) -1)
(pow.f32 (exp.f32 (/.f32 -1 (cbrt.f32 v))) (cbrt.f32 (pow.f32 v -2)))
(pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (pow.f32 (neg.f32 v) -1/2))
(pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (*.f32 (pow.f32 (neg.f32 v) -1/2) 1))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (/.f32 -1 (cbrt.f32 v)))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (*.f32 (/.f32 -1 (cbrt.f32 v)) 1))
(pow.f32 (+.f32 1 (expm1.f32 (/.f32 -1 v))) 1)
(pow.f32 (pow.f32 (exp.f32 -1) (pow.f32 (cbrt.f32 (/.f32 1 v)) 2)) (cbrt.f32 (/.f32 1 v)))
(pow.f32 (pow.f32 (exp.f32 -1) (sqrt.f32 (/.f32 1 v))) (sqrt.f32 (/.f32 1 v)))
(pow.f32 (pow.f32 (exp.f32 1) -1) (/.f32 1 v))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) 1) (pow.f32 (neg.f32 v) -1/2))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (/.f32 -1 (cbrt.f32 v))) (cbrt.f32 (pow.f32 (neg.f32 v) -1/2)))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 v)))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (sqrt.f32 (pow.f32 (neg.f32 v) -1/2))) (sqrt.f32 (pow.f32 (neg.f32 v) -1/2)))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 v -2)))) (sqrt.f32 (/.f32 -1 (cbrt.f32 v))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) -1) (cbrt.f32 (/.f32 1 v)))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) 1) (/.f32 -1 (cbrt.f32 v)))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (pow.f32 (cbrt.f32 (/.f32 -1 (cbrt.f32 v))) 2)) (cbrt.f32 (/.f32 -1 (cbrt.f32 v))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (cbrt.f32 (pow.f32 (neg.f32 v) -1/2))) (cbrt.f32 (pow.f32 (neg.f32 v) -1/2)))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (cbrt.f32 (cbrt.f32 (pow.f32 v -2)))) (cbrt.f32 (/.f32 -1 (cbrt.f32 v))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (sqrt.f32 (/.f32 -1 (cbrt.f32 v)))) (sqrt.f32 (/.f32 -1 (cbrt.f32 v))))
(sqrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 -1 v)))))
(cbrt.f32 (exp.f32 (*.f32 (/.f32 -1 v) 3)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 -1 v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 -1 v))))

Outputs
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v))))
(*.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 -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) (.f32 v v)) (+.f32 -1/2 (/.f32 1/4 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 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (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)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v))))
(*.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 -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) (.f32 v v)) (+.f32 -1/2 (/.f32 1/4 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 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (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)))))
1
(-.f32 1 (/.f32 1 v))
(+.f32 (/.f32 -1 v) 1)
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(+.f32 (/.f32 1/2 (*.f32 v v)) (-.f32 1 (/.f32 1 v)))
(+.f32 (+.f32 (/.f32 -1 v) 1) (/.f32 1/2 (*.f32 v v)))
(+.f32 (/.f32 -1 v) (fma.f32 1/2 (pow.f32 v -2) 1))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 (/.f32 1/2 (*.f32 v v)) (-.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3)))))
(-.f32 (+.f32 (+.f32 (/.f32 -1 v) 1) (/.f32 1/2 (*.f32 v v))) (/.f32 1/6 (pow.f32 v 3)))
(+.f32 1 (-.f32 (fma.f32 1/2 (pow.f32 v -2) (/.f32 -1 v)) (/.f32 1/6 (pow.f32 v 3))))
1
(-.f32 1 (/.f32 1 v))
(+.f32 (/.f32 -1 v) 1)
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(+.f32 (/.f32 1/2 (*.f32 v v)) (-.f32 1 (/.f32 1 v)))
(+.f32 (+.f32 (/.f32 -1 v) 1) (/.f32 1/2 (*.f32 v v)))
(+.f32 (/.f32 -1 v) (fma.f32 1/2 (pow.f32 v -2) 1))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 (/.f32 1/2 (*.f32 v v)) (-.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3)))))
(-.f32 (+.f32 (+.f32 (/.f32 -1 v) 1) (/.f32 1/2 (*.f32 v v))) (/.f32 1/6 (pow.f32 v 3)))
(+.f32 1 (-.f32 (fma.f32 1/2 (pow.f32 v -2) (/.f32 -1 v)) (/.f32 1/6 (pow.f32 v 3))))
(+.f32 0 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000))))))
(*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))) 1)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v 2))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(/.f32 (*.f32 -1/2 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (neg.f32 v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(/.f32 (.f32 (.f32 1/2 (exp.f32 6931/10000)) (exp.f32 (/.f32 -1 v))) v)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (exp.f32 6931/10000))) v)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 1)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2) 1/2)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 3) 1/3)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 3)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 2)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (exp.f32 1) (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (.f32 v 2))))) 2)) (cbrt.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (.f32 v 2))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (-.f32 (log.f32 (.f32 v 2)) (/.f32 -1 v)))) 2)) (cbrt.f32 (-.f32 6931/10000 (-.f32 (log.f32 (.f32 v 2)) (/.f32 -1 v)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (log.f32 (.f32 v 2)) (/.f32 1 v)))) 2)) (cbrt.f32 (-.f32 6931/10000 (+.f32 (log.f32 (.f32 v 2)) (/.f32 1 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (.f32 v 2)))))) (sqrt.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (.f32 v 2))))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 6931/10000 (-.f32 (log.f32 (.f32 v 2)) (/.f32 -1 v))))) (sqrt.f32 (-.f32 6931/10000 (-.f32 (log.f32 (.f32 v 2)) (/.f32 -1 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (log.f32 (.f32 v 2)) (/.f32 1 v))))) (sqrt.f32 (-.f32 6931/10000 (+.f32 (log.f32 (.f32 v 2)) (/.f32 1 v)))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 3))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (.f32 v 2)))) 1))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (.f32 (.f32 3 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2))))) 1/3))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (.f32 (.f32 1/3 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2))))) 3))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (.f32 (.f32 1/2 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2))))) 2))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (.f32 (.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2)))) 1) 1))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (+.f32 (*.f32 (log.f32 (/.f32 1/2 v)) 1) (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (+.f32 (.f32 (-.f32 6931/10000 (log.f32 (.f32 v 2))) 1) (/.f32 -1 v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (+.f32 (/.f32 -1 v) (.f32 (-.f32 6931/10000 (log.f32 (.f32 v 2))) 1)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (*.f32 (log.f32 (/.f32 1/2 v)) 1)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(+.f32 0 (exp.f32 (/.f32 -1 v)))
(exp.f32 (/.f32 -1 v))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 -1 v)))) 1)
(exp.f32 (/.f32 -1 v))
(*.f32 (exp.f32 (/.f32 -1 v)) 1)
(exp.f32 (/.f32 -1 v))
(*.f32 1 (exp.f32 (/.f32 -1 v)))
(exp.f32 (/.f32 -1 v))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) (cbrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v))) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) (cbrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) (sqrt.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(.f32 (pow.f32 (exp.f32 1) (.f32 1/2 (/.f32 -1 v))) (pow.f32 (exp.f32 1) (*.f32 1/2 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(.f32 (pow.f32 (exp.f32 1) (.f32 2 (.f32 1/3 (/.f32 -1 v)))) (pow.f32 (exp.f32 1) (.f32 1/3 (/.f32 -1 v))))
(.f32 (pow.f32 (E.f32) (.f32 2 (/.f32 -1/3 v))) (pow.f32 (E.f32) (/.f32 -1/3 v)))
(*.f32 (pow.f32 (E.f32) (/.f32 -2/3 v)) (pow.f32 (E.f32) (/.f32 -1/3 v)))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(exp.f32 (/.f32 -1 v))
(/.f32 (pow.f32 (exp.f32 1) (exp.f32 (log1p.f32 (/.f32 -1 v)))) (exp.f32 1))
(/.f32 (pow.f32 (E.f32) (exp.f32 (log1p.f32 (/.f32 -1 v)))) (E.f32))
(pow.f32 (exp.f32 (/.f32 -1 v)) 1)
(exp.f32 (/.f32 -1 v))
(pow.f32 (exp.f32 -1) (/.f32 1 v))
(exp.f32 (/.f32 -1 v))
(pow.f32 (exp.f32 -1) (*.f32 (/.f32 1 v) 1))
(exp.f32 (/.f32 -1 v))
(pow.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v)) 1/2)
(sqrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v)))
(pow.f32 (exp.f32 -2) (/.f32 1/2 v))
(pow.f32 (exp.f32 (*.f32 (/.f32 -1 v) 3)) 1/3)
(exp.f32 (/.f32 -1 v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) 3)
(exp.f32 (/.f32 -1 v))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) 2)
(exp.f32 (/.f32 -1 v))
(pow.f32 (exp.f32 1) (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(pow.f32 (exp.f32 (/.f32 1 v)) -1)
(exp.f32 (/.f32 -1 v))
(pow.f32 (exp.f32 (/.f32 -1 (cbrt.f32 v))) (cbrt.f32 (pow.f32 v -2)))
(pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (pow.f32 (neg.f32 v) -1/2))
(pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (*.f32 (pow.f32 (neg.f32 v) -1/2) 1))
(pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (pow.f32 (neg.f32 v) -1/2))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (/.f32 -1 (cbrt.f32 v)))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (*.f32 (/.f32 -1 (cbrt.f32 v)) 1))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (/.f32 -1 (cbrt.f32 v)))
(pow.f32 (+.f32 1 (expm1.f32 (/.f32 -1 v))) 1)
(+.f32 1 (expm1.f32 (/.f32 -1 v)))
(pow.f32 (pow.f32 (exp.f32 -1) (pow.f32 (cbrt.f32 (/.f32 1 v)) 2)) (cbrt.f32 (/.f32 1 v)))
(pow.f32 (pow.f32 (exp.f32 -1) (sqrt.f32 (/.f32 1 v))) (sqrt.f32 (/.f32 1 v)))
(pow.f32 (pow.f32 (exp.f32 1) -1) (/.f32 1 v))
(exp.f32 (/.f32 -1 v))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) 1) (pow.f32 (neg.f32 v) -1/2))
(pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (pow.f32 (neg.f32 v) -1/2))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (/.f32 -1 (cbrt.f32 v))) (cbrt.f32 (pow.f32 (neg.f32 v) -1/2)))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 v)))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (sqrt.f32 (pow.f32 (neg.f32 v) -1/2))) (sqrt.f32 (pow.f32 (neg.f32 v) -1/2)))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (pow.f32 (neg.f32 v) -1/4)) (pow.f32 (neg.f32 v) -1/4))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (neg.f32 v) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 v -2)))) (sqrt.f32 (/.f32 -1 (cbrt.f32 v))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) -1) (cbrt.f32 (/.f32 1 v)))
(pow.f32 (/.f32 1 (exp.f32 (cbrt.f32 (pow.f32 v -2)))) (cbrt.f32 (/.f32 1 v)))
(pow.f32 (exp.f32 (neg.f32 (cbrt.f32 (pow.f32 v -2)))) (cbrt.f32 (/.f32 1 v)))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) 1) (/.f32 -1 (cbrt.f32 v)))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (/.f32 -1 (cbrt.f32 v)))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (pow.f32 (cbrt.f32 (/.f32 -1 (cbrt.f32 v))) 2)) (cbrt.f32 (/.f32 -1 (cbrt.f32 v))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (cbrt.f32 (pow.f32 (neg.f32 v) -1/2))) (cbrt.f32 (pow.f32 (neg.f32 v) -1/2)))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (cbrt.f32 (cbrt.f32 (pow.f32 v -2)))) (cbrt.f32 (/.f32 -1 (cbrt.f32 v))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (sqrt.f32 (/.f32 -1 (cbrt.f32 v)))) (sqrt.f32 (/.f32 -1 (cbrt.f32 v))))
(sqrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v)))
(pow.f32 (exp.f32 -2) (/.f32 1/2 v))
(log.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 -1 v)))))
(exp.f32 (/.f32 -1 v))
(cbrt.f32 (exp.f32 (*.f32 (/.f32 -1 v) 3)))
(exp.f32 (/.f32 -1 v))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))

localize150.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 111 to 49 computations (55.9% saved)

series17.0ms (0.1%)

Counts

2 → 120

Calls

30 calls:

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

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`expm1-udef_binary32`
429×	`log1p-udef_binary32`
248×	`add-sqr-sqrt_binary32`
242×	`pow1_binary32`
240×	`*-un-lft-identity_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	484	54
2	6978	54

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 v (*.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (*.f32 (*.f32 v 2) (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 1/2) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 1/2)) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) 1/2) (*.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v))) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) 1) (*.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v))) (*.f32 v 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) -1/2) (*.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v))) (neg.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/2 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)) (*.f32 v (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -1/2 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)) (*.f32 (neg.f32 v) (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 1/2) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) 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 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 1/2) (sqrt.f32 v)) (sqrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (/.f32 1/2 v)) (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -1/2 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v)))) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) -1/2) (neg.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)) (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) 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 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 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simplify127.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-def_binary32`
426×	`distribute-rgt-in_binary32`
416×	`distribute-lft-in_binary32`
251×	`times-frac_binary32`
241×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	7081
1	896	6608
2	3610	5744

Stop Event

1×	node limit

Counts

176 → 187

Calls

Call 1

Inputs
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 3))) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (pow.f32 cosTheta_O 2))) (pow.f32 v 3))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
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(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
(+.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 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)))) 1)
(/.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v 2))
(/.f32 1 (/.f32 v (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 1/2)))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (.f32 v 2) (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v)))))
(/.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 1/2) v)
(/.f32 (neg.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 1/2)) (neg.f32 v))
(/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) 1/2) (.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v))) v))
(/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) 1) (.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v))) (*.f32 v 2)))
(/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) -1/2) (.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v))) (neg.f32 v)))
(/.f32 (.f32 1/2 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)) (.f32 v (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v)))))
(/.f32 (.f32 -1/2 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)) (.f32 (neg.f32 v) (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v)))))
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 1/2) 1) v)
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 1/2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))
(/.f32 (/.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 1/2) (sqrt.f32 v)) (sqrt.f32 v))
(/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (/.f32 1/2 v)) (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v))))
(/.f32 (.f32 -1/2 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v)))) (neg.f32 v))
(/.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) -1/2) (neg.f32 v))
(/.f32 (*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)) (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v))))
(pow.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) 1)
(pow.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))) 3)
(pow.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))) 2)
(sqrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)))))
(cbrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v)) 3))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 3) (pow.f32 (/.f32 1/2 v) 3)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 3)))
(expm1.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))))
(log1p.f32 (expm1.f32 (.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) (/.f32 1/2 v))))
(exp.f32 (+.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v)) (log.f32 (/.f32 1/2 v))))
(exp.f32 (.f32 (+.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v)) (log.f32 (/.f32 1/2 v))) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v))))) 1)
(.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))) 1)
(.f32 1 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))))
(*.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (exp.f32 (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v)))))
(*.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (/.f32 1 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v)))))
(*.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (pow.f32 (E.f32) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v)))))
(.f32 (cbrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v)))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v)))) 2))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v)))) 2) (cbrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v)))))
(.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v)))) (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v)))))
(.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(.f32 (pow.f32 1 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))))
(.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v))))
(.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(/.f32 1 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v))) (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v))))
(/.f32 (neg.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O)) (neg.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 1 v)))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v))) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v)))))
(exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v)))

Outputs
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) v))
(/.f32 (*.f32 1/2 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) v)
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) (pow.f32 v 2))))
(.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 cosTheta_i (/.f32 (.f32 v v) (*.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O)))))
(.f32 1/2 (+.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) v) (.f32 (/.f32 cosTheta_i (.f32 v v)) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) cosTheta_O))))
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(exp.f32 (-.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 1 v))) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 1 v))) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v))) 3))
(exp.f32 (-.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 1 v))) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v)))))
(exp.f32 (-.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 1 v))) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v)))))
(exp.f32 (-.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 1 v))) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))
(exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_O)) v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 1 v))) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))

localize105.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))
✓	0.1b	(pow.f32 (exp.f32 1) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
✓	0.2b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
	0.3b	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))

Compiler

Compiled 68 to 44 computations (35.3% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(pow.f32 (exp.f32 1) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
1.0ms	cosTheta_i	@	0	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
1.0ms	cosTheta_O	@	0	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
1.0ms	cosTheta_i	@	inf	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
1.0ms	v	@	0	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`log-prod_binary32`
422×	`pow2_binary32`
296×	`pow1/3_binary32`
289×	`expm1-udef_binary32`
289×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	343	35
2	4056	35

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs

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

(pow.f32 (exp.f32 1) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))

Outputs

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

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

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-def_binary32`
694×	`associate-/r*_binary32`
654×	`associate-*l/_binary32`
488×	`distribute-rgt-in_binary32`
475×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	2991
1	630	2908
2	2469	2582

Stop Event

1×	node limit

Counts

118 → 147

Calls

Call 1

Inputs
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 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 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 3) (exp.f32 6931/10000)) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2) (exp.f32 6931/10000)) (pow.f32 v 3))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/12 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) 3) (exp.f32 6931/10000)) (pow.f32 v 4))))))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 2)))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2)))))
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Outputs
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) 6931/10000)) v))
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(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
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(cbrt.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 3))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(expm1.f32 (log1p.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(log1p.f32 (expm1.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))

eval580.0ms (4.3%)

Compiler: Compiled 26141 to 17101 computations (34.6% saved)

prune343.0ms (2.5%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	990	16	1006
Fresh	7	5	12
Picked	1	0	1
Done	1	6	7
Total	999	27	1026

Error

0.0b

Counts

1026 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 3) 1/3)
	0.3b	(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 3)
▶	30.5b	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
✓	0.2b	(.f32 (pow.f32 (E.f32) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 6931/10000 (/.f32 -1 v))))) (/.f32 1/2 v))
	0.3b	(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
✓	30.5b	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	8.6b	(.f32 (.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (pow.f32 (E.f32) (-.f32 (/.f32 -1 v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)))) (/.f32 1/2 v))
	0.3b	(.f32 (.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 6931/30000) 3)) (pow.f32 (exp.f32 1) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 (/.f32 -1 (cbrt.f32 v))) (cbrt.f32 (pow.f32 v -2))))
	0.6b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 (*.f32 (/.f32 -1 v) 3)) 1/3))
▶	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)))
▶	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (/.f32 -1 v)))
	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 -2) (/.f32 1/2 v)))
	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (*.f32 (pow.f32 (E.f32) (/.f32 -2/3 v)) (pow.f32 (E.f32) (/.f32 -1/3 v))))
✓	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 -1 v)))
	2.6b	(.f32 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 1/2 v))
✓	0.2b	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))
▶	0.1b	(*.f32 1/2 (pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))
	0.2b	(.f32 1/2 (/.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v))
	1.8b	(.f32 1/2 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) v))
	0.2b	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
✓	0.2b	(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
✓	30.5b	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	27.2b	(*.f32 1/2 (exp.f32 (/.f32 (neg.f32 sinTheta_i) (/.f32 v sinTheta_O))))
▶	0.2b	(*.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
	0.2b	(exp.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2)))))
	0.2b	(exp.f32 (.f32 (.f32 1/3 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2))))) 3))

Compiler

Compiled 918 to 764 computations (16.8% saved)

localize107.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 72 to 41 computations (43.1% saved)

series11.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	v	@	-inf	(-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))
1.0ms	v	@	-inf	(pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))
1.0ms	v	@	inf	(pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))
1.0ms	sinTheta_i	@	0	(pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))
0.0ms	sinTheta_O	@	0	(pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`prod-diff_binary32`
628×	`log-prod_binary32`
339×	`fma-def_binary32`
249×	`log1p-udef_binary32`
248×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	286	53
2	3838	53

Stop Event

1×	node limit

Counts

4 → 199

Calls

Call 1

Inputs
(pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))
(+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))
(-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v))) (cbrt.f32 (exp.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)) (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)) 2) (cbrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 6931/10000) (exp.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 6931/10000) (/.f32 1 (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)) (sqrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 2/3) (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) (pow.f32 (exp.f32 1/3) (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 1/2) (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) (pow.f32 (exp.f32 1/2) (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (exp.f32 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (exp.f32 6931/10000)) (neg.f32 (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2) (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) (/.f32 (pow.f32 (log.f32 v) 2) (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) (pow.f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) (log.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 2) (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) (sqrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) (log.f32 (pow.f32 (E.f32) (sqrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3) (pow.f32 (log.f32 v) 3)) (/.f32 1 (fma.f32 (log.f32 v) (-.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2) (pow.f32 (log.f32 v) 2)) (/.f32 1 (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 (log.f32 v) (-.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2)) (+.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3) (pow.f32 (log.f32 v) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) (-.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2) (pow.f32 (log.f32 v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3) (pow.f32 (log.f32 v) 3)) (fma.f32 (log.f32 v) (-.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (pow.f32 (/.f32 (fma.f32 sinTheta_i 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simplify179.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

843×	`fma-neg_binary32`
324×	`log-prod_binary32`
263×	`exp-prod_binary32`
255×	`fma-def_binary32`
208×	`cube-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	517	6868
1	1357	6539
2	5270	6415

Stop Event

1×	node limit

Counts

343 → 335

Calls

Call 1

Inputs
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))) v)) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 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 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))) (pow.f32 v 3))) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))
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(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 3)) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) (+.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 48038761/100000000))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2)) (+.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))
(/.f32 (neg.f32 (-.f32 332956652491/1000000000000 (pow.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 3))) (neg.f32 (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) (+.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 48038761/100000000)))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2))) (neg.f32 (+.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))
(/.f32 (-.f32 (pow.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 3) (pow.f32 (log.f32 v) 3)) (fma.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (+.f32 (pow.f32 (log.f32 v) 2) (*.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (log.f32 v)))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 3)) (+.f32 48038761/100000000 (-.f32 (.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) (.f32 6931/10000 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))))
(/.f32 (-.f32 (*.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (pow.f32 (log.f32 v) 2)) (+.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (log.f32 v)))
(/.f32 (-.f32 48038761/100000000 (*.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))) (-.f32 6931/10000 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))
(pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 1)
(pow.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 3) 1/3)
(pow.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) 3)
(pow.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) 2)
(neg.f32 (log.f32 (/.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (exp.f32 6931/10000))))
(sqrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 2))
(log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))))
(log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (+.f32 1 (-.f32 v 1))))
(cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 3))
(expm1.f32 (log1p.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))
(log1p.f32 (expm1.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))
(exp.f32 (log.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))
(exp.f32 (*.f32 (log.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) 1))
(fma.f32 1 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 6931/10000)
(fma.f32 1 (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2)) (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2)))
(fma.f32 1 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (neg.f32 (log.f32 v)))
(fma.f32 1 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log.f32 v)) 2)) (cbrt.f32 (log.f32 v))))
(fma.f32 1 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (*.f32 (neg.f32 (sqrt.f32 (log.f32 v))) (sqrt.f32 (log.f32 v))))
(fma.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 1/2 (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 2) (neg.f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) 6931/10000)
(fma.f32 (sqrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) 6931/10000)
(fma.f32 (*.f32 (cbrt.f32 (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2))) (cbrt.f32 (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2)))) (cbrt.f32 (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2))) (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2)))
(fma.f32 (*.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (neg.f32 (log.f32 v)))
(fma.f32 (.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (.f32 (neg.f32 (pow.f32 (cbrt.f32 (log.f32 v)) 2)) (cbrt.f32 (log.f32 v))))
(fma.f32 (.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (.f32 (neg.f32 (sqrt.f32 (log.f32 v))) (sqrt.f32 (log.f32 v))))
(fma.f32 (*.f32 (cbrt.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) (cbrt.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))) (cbrt.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) 6931/10000)
(fma.f32 (sqrt.f32 (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2))) (sqrt.f32 (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2))) (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2)))
(fma.f32 (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (neg.f32 (log.f32 v)))
(fma.f32 (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log.f32 v)) 2)) (cbrt.f32 (log.f32 v))))
(fma.f32 (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (*.f32 (neg.f32 (sqrt.f32 (log.f32 v))) (sqrt.f32 (log.f32 v))))
(fma.f32 (sqrt.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) (sqrt.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) 6931/10000)
(fma.f32 -1 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 6931/10000)
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 2)) (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 6931/10000)
(fma.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) (sqrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 6931/10000)
(+.f32 0 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 1)
(*.f32 1 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v))
(*.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 1)
(*.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2) (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 2) (.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (/.f32 1 v)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (/.f32 1 v)))
(*.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (/.f32 1 (neg.f32 v)))
(*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 2) 1) (/.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 1) (/.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (cbrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (cbrt.f32 v)))
(*.f32 (/.f32 1 (sqrt.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (sqrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (sqrt.f32 v)))
(pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 1)
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 3)
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2)
(pow.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3) 1/3)
(pow.f32 (/.f32 v (fma.f32 sinTheta_i sinTheta_O 1)) -1)
(neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (neg.f32 v)))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2))
(log.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(exp.f32 (log.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 1))

Outputs
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))) v)) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(fma.f32 -1 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(-.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) (.f32 (/.f32 sinTheta_i v) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) sinTheta_O)))
(-.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) (.f32 (/.f32 sinTheta_i v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) sinTheta_O)))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))) (pow.f32 v 2))) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))))
(fma.f32 -1 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))) v) (fma.f32 1/2 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))) (*.f32 v v)) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) v) (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) v)) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))) (.f32 (/.f32 sinTheta_i v) (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) sinTheta_O)))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) v) (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) v)) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 (/.f32 sinTheta_i v) (.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) sinTheta_O)))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 sinTheta_O 2) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 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 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))) (pow.f32 v 3))) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))))
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(fma.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 1/2 (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2)))
(fma.f32 (-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 1/2 (-.f32 6931/20000 (/.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2)))
(fma.f32 (-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 1/2 (/.f32 (-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 2) (neg.f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) 6931/10000)
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (sqrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) 6931/10000)
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (*.f32 (cbrt.f32 (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2))) (cbrt.f32 (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2)))) (cbrt.f32 (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2))) (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2)))
(*.f32 2 (-.f32 6931/20000 (/.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2)))
(*.f32 2 (/.f32 (-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2))
(fma.f32 (*.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (neg.f32 (log.f32 v)))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (.f32 (neg.f32 (pow.f32 (cbrt.f32 (log.f32 v)) 2)) (cbrt.f32 (log.f32 v))))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))) (cbrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (.f32 (neg.f32 (sqrt.f32 (log.f32 v))) (sqrt.f32 (log.f32 v))))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (*.f32 (cbrt.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) (cbrt.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))))) (cbrt.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) 6931/10000)
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (sqrt.f32 (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2))) (sqrt.f32 (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2))) (-.f32 6931/20000 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 2)))
(*.f32 2 (-.f32 6931/20000 (/.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2)))
(*.f32 2 (/.f32 (-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2))
(fma.f32 (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (neg.f32 (log.f32 v)))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log.f32 v)) 2)) (cbrt.f32 (log.f32 v))))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (sqrt.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (*.f32 (neg.f32 (sqrt.f32 (log.f32 v))) (sqrt.f32 (log.f32 v))))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (sqrt.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) (sqrt.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) 6931/10000)
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 -1 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)) 6931/10000)
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 2)) (cbrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 6931/10000)
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(fma.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))) (sqrt.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v))) 6931/10000)
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(+.f32 0 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 1)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(*.f32 1 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(*.f32 (fma.f32 sinTheta_i sinTheta_O 1) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(*.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 1)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(*.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2) (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 2) (.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (/.f32 1 v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(*.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (/.f32 1 v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(*.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (/.f32 1 (neg.f32 v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(*.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 2) 1) (/.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(*.f32 (/.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 1) (/.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) v))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (cbrt.f32 v)))
(/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (cbrt.f32 v)) (pow.f32 (cbrt.f32 v) 2))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(*.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) (/.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 2) (pow.f32 (cbrt.f32 v) 2)))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (cbrt.f32 v)))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (cbrt.f32 v)))
(/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (cbrt.f32 v)) (pow.f32 (cbrt.f32 v) 2))
(*.f32 (/.f32 1 (sqrt.f32 v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (sqrt.f32 v)))
(/.f32 (*.f32 1 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (sqrt.f32 v))) (sqrt.f32 v))
(/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (sqrt.f32 v)) (sqrt.f32 v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (fma.f32 sinTheta_i sinTheta_O 1)) (sqrt.f32 v)))
(/.f32 (*.f32 1 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (sqrt.f32 v))) (sqrt.f32 v))
(/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 1)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 3)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 2)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(pow.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3) 1/3)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(pow.f32 (/.f32 v (fma.f32 sinTheta_i sinTheta_O 1)) -1)
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) (neg.f32 v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 2))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(log.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(exp.f32 (log.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 1))
(/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
✓	0.4b	(/.f32 v (exp.f32 6931/10000))

Compiler

Compiled 20 to 17 computations (15% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(/.f32 v (exp.f32 6931/10000))
1.0ms	v	@	0	(/.f32 v (exp.f32 6931/10000))
1.0ms	v	@	-inf	(/.f32 v (exp.f32 6931/10000))
0.0ms	v	@	0	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
0.0ms	v	@	inf	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`pow1_binary32`
704×	`add-log-exp_binary32`
704×	`log1p-expm1-u_binary32`
704×	`expm1-log1p-u_binary32`
691×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	152	15
2	1911	15

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

405×	`fma-def_binary32`
402×	`distribute-rgt-in_binary32`
307×	`associate-/r*_binary32`
280×	`unswap-sqr_binary32`
274×	`fma-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	786
1	320	699
2	1130	618
3	4228	615

Stop Event

1×	node limit

Counts

69 → 76

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))
(-.f32 (+.f32 1 (*.f32 v (exp.f32 -6931/10000))) 1)
(*.f32 v (exp.f32 -6931/10000))
(.f32 (.f32 v (exp.f32 -6931/10000)) 1)
(.f32 1 (.f32 v (exp.f32 -6931/10000)))
(.f32 (cbrt.f32 (.f32 v (exp.f32 -6931/10000))) (cbrt.f32 (/.f32 (*.f32 v v) (exp.f32 6931/5000))))
(.f32 (cbrt.f32 (/.f32 (.f32 v v) (exp.f32 6931/5000))) (cbrt.f32 (*.f32 v (exp.f32 -6931/10000))))
(.f32 (pow.f32 (cbrt.f32 v) 2) (.f32 (cbrt.f32 v) (exp.f32 -6931/10000)))
(.f32 (sqrt.f32 (.f32 v (exp.f32 -6931/10000))) (sqrt.f32 (*.f32 v (exp.f32 -6931/10000))))
(.f32 (sqrt.f32 v) (.f32 (sqrt.f32 v) (exp.f32 -6931/10000)))
(*.f32 (neg.f32 v) (/.f32 1 (neg.f32 (exp.f32 6931/10000))))
(*.f32 (exp.f32 -6931/10000) v)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 v) 2) 1) (/.f32 (cbrt.f32 v) (exp.f32 6931/10000)))
(*.f32 (/.f32 (sqrt.f32 v) 1) (/.f32 (sqrt.f32 v) (exp.f32 6931/10000)))
(*.f32 (/.f32 1 (cbrt.f32 (exp.f32 6931/5000))) (/.f32 v (cbrt.f32 (exp.f32 6931/10000))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 v) 2) (cbrt.f32 (exp.f32 6931/5000))) (cbrt.f32 (.f32 v (exp.f32 -6931/10000))))
(*.f32 (/.f32 (sqrt.f32 v) (cbrt.f32 (exp.f32 6931/5000))) (/.f32 (sqrt.f32 v) (cbrt.f32 (exp.f32 6931/10000))))
(*.f32 (/.f32 1 (sqrt.f32 (exp.f32 6931/10000))) (/.f32 v (sqrt.f32 (exp.f32 6931/10000))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 v) 2) (sqrt.f32 (exp.f32 6931/10000))) (/.f32 (cbrt.f32 v) (sqrt.f32 (exp.f32 6931/10000))))
(pow.f32 (*.f32 v (exp.f32 -6931/10000)) 1)
(pow.f32 (pow.f32 (*.f32 v (exp.f32 -6931/10000)) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 v (exp.f32 -6931/10000))) 3)
(pow.f32 (sqrt.f32 (*.f32 v (exp.f32 -6931/10000))) 2)
(pow.f32 (/.f32 (exp.f32 6931/10000) v) -1)
(neg.f32 (/.f32 v (neg.f32 (exp.f32 6931/10000))))
(sqrt.f32 (/.f32 (*.f32 v v) (exp.f32 6931/5000)))
(log.f32 (pow.f32 (exp.f32 v) (exp.f32 -6931/10000)))
(cbrt.f32 (pow.f32 (*.f32 v (exp.f32 -6931/10000)) 3))
(cbrt.f32 (/.f32 (pow.f32 v 3) (pow.f32 (exp.f32 6931/10000) 3)))
(expm1.f32 (log1p.f32 (*.f32 v (exp.f32 -6931/10000))))
(log1p.f32 (expm1.f32 (*.f32 v (exp.f32 -6931/10000))))
(exp.f32 (+.f32 (log.f32 v) -6931/10000))
(-.f32 (+.f32 1 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) 1)
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 1)
(.f32 1 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))
(.f32 (cbrt.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) (cbrt.f32 (/.f32 1/4 (/.f32 (*.f32 v v) (exp.f32 6931/5000)))))
(.f32 (cbrt.f32 (/.f32 1/4 (/.f32 (.f32 v v) (exp.f32 6931/5000)))) (cbrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(.f32 (sqrt.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) (sqrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(.f32 -1/2 (/.f32 1 (.f32 (neg.f32 v) (exp.f32 -6931/10000))))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(*.f32 (/.f32 1/2 (neg.f32 v)) (neg.f32 (exp.f32 6931/10000)))
(.f32 (.f32 (/.f32 1/2 v) 1) (exp.f32 6931/10000))
(.f32 (.f32 (/.f32 1/2 v) (cbrt.f32 (exp.f32 6931/5000))) (cbrt.f32 (exp.f32 6931/10000)))
(.f32 (.f32 (/.f32 1/2 v) (sqrt.f32 (exp.f32 6931/10000))) (sqrt.f32 (exp.f32 6931/10000)))
(pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 1)
(pow.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) 3)
(pow.f32 (sqrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) 2)
(pow.f32 (.f32 (.f32 v (exp.f32 -6931/10000)) 2) -1)
(sqrt.f32 (/.f32 1/4 (/.f32 (*.f32 v v) (exp.f32 6931/5000))))
(log.f32 (pow.f32 (exp.f32 1/2) (/.f32 (exp.f32 6931/10000) v)))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 3))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))

Outputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(-.f32 (+.f32 1 (*.f32 v (exp.f32 -6931/10000))) 1)
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(*.f32 v (exp.f32 -6931/10000))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(.f32 (.f32 v (exp.f32 -6931/10000)) 1)
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(.f32 1 (.f32 v (exp.f32 -6931/10000)))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(.f32 (cbrt.f32 (.f32 v (exp.f32 -6931/10000))) (cbrt.f32 (/.f32 (*.f32 v v) (exp.f32 6931/5000))))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(.f32 (cbrt.f32 (/.f32 (.f32 v v) (exp.f32 6931/5000))) (cbrt.f32 (*.f32 v (exp.f32 -6931/10000))))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(.f32 (pow.f32 (cbrt.f32 v) 2) (.f32 (cbrt.f32 v) (exp.f32 -6931/10000)))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(.f32 (sqrt.f32 (.f32 v (exp.f32 -6931/10000))) (sqrt.f32 (*.f32 v (exp.f32 -6931/10000))))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(.f32 (sqrt.f32 v) (.f32 (sqrt.f32 v) (exp.f32 -6931/10000)))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(*.f32 (neg.f32 v) (/.f32 1 (neg.f32 (exp.f32 6931/10000))))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(*.f32 (exp.f32 -6931/10000) v)
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 v) 2) 1) (/.f32 (cbrt.f32 v) (exp.f32 6931/10000)))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(*.f32 (/.f32 (sqrt.f32 v) 1) (/.f32 (sqrt.f32 v) (exp.f32 6931/10000)))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(*.f32 (/.f32 1 (cbrt.f32 (exp.f32 6931/5000))) (/.f32 v (cbrt.f32 (exp.f32 6931/10000))))
(/.f32 (*.f32 1 (/.f32 v (cbrt.f32 (exp.f32 6931/10000)))) (cbrt.f32 (exp.f32 6931/5000)))
(/.f32 (/.f32 v (cbrt.f32 (exp.f32 6931/10000))) (cbrt.f32 (exp.f32 6931/5000)))
(/.f32 v (*.f32 (cbrt.f32 (exp.f32 6931/5000)) (cbrt.f32 (exp.f32 6931/10000))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 v) 2) (cbrt.f32 (exp.f32 6931/5000))) (cbrt.f32 (.f32 v (exp.f32 -6931/10000))))
(.f32 (cbrt.f32 (.f32 v (exp.f32 -6931/10000))) (/.f32 (pow.f32 (cbrt.f32 v) 2) (cbrt.f32 (exp.f32 6931/5000))))
(*.f32 (/.f32 (sqrt.f32 v) (cbrt.f32 (exp.f32 6931/5000))) (/.f32 (sqrt.f32 v) (cbrt.f32 (exp.f32 6931/10000))))
(/.f32 (*.f32 1 (/.f32 v (cbrt.f32 (exp.f32 6931/10000)))) (cbrt.f32 (exp.f32 6931/5000)))
(/.f32 (/.f32 v (cbrt.f32 (exp.f32 6931/10000))) (cbrt.f32 (exp.f32 6931/5000)))
(/.f32 v (*.f32 (cbrt.f32 (exp.f32 6931/5000)) (cbrt.f32 (exp.f32 6931/10000))))
(*.f32 (/.f32 1 (sqrt.f32 (exp.f32 6931/10000))) (/.f32 v (sqrt.f32 (exp.f32 6931/10000))))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 v) 2) (sqrt.f32 (exp.f32 6931/10000))) (/.f32 (cbrt.f32 v) (sqrt.f32 (exp.f32 6931/10000))))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(pow.f32 (*.f32 v (exp.f32 -6931/10000)) 1)
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(pow.f32 (pow.f32 (*.f32 v (exp.f32 -6931/10000)) 3) 1/3)
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(pow.f32 (cbrt.f32 (*.f32 v (exp.f32 -6931/10000))) 3)
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(pow.f32 (sqrt.f32 (*.f32 v (exp.f32 -6931/10000))) 2)
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(pow.f32 (/.f32 (exp.f32 6931/10000) v) -1)
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(neg.f32 (/.f32 v (neg.f32 (exp.f32 6931/10000))))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(sqrt.f32 (/.f32 (*.f32 v v) (exp.f32 6931/5000)))
(sqrt.f32 (*.f32 (/.f32 v (exp.f32 6931/5000)) v))
(sqrt.f32 (*.f32 v (/.f32 v (exp.f32 6931/5000))))
(fabs.f32 (*.f32 v (exp.f32 -6931/10000)))
(log.f32 (pow.f32 (exp.f32 v) (exp.f32 -6931/10000)))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(cbrt.f32 (pow.f32 (*.f32 v (exp.f32 -6931/10000)) 3))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(cbrt.f32 (/.f32 (pow.f32 v 3) (pow.f32 (exp.f32 6931/10000) 3)))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(expm1.f32 (log1p.f32 (*.f32 v (exp.f32 -6931/10000))))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(log1p.f32 (expm1.f32 (*.f32 v (exp.f32 -6931/10000))))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(exp.f32 (+.f32 (log.f32 v) -6931/10000))
(+.f32 1 (-.f32 (*.f32 v (exp.f32 -6931/10000)) 1))
(+.f32 (*.f32 v (exp.f32 -6931/10000)) 0)
(*.f32 v (exp.f32 -6931/10000))
(-.f32 (+.f32 1 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) 1)
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 1)
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(.f32 1 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(.f32 (cbrt.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) (cbrt.f32 (/.f32 1/4 (/.f32 (*.f32 v v) (exp.f32 6931/5000)))))
(.f32 (cbrt.f32 (/.f32 (.f32 (exp.f32 6931/10000) 1/2) v)) (cbrt.f32 (.f32 (/.f32 1/4 (.f32 v v)) (exp.f32 6931/5000))))
(.f32 (cbrt.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (cbrt.f32 (*.f32 (exp.f32 6931/5000) (/.f32 (/.f32 1/4 v) v))))
(.f32 (cbrt.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (cbrt.f32 (/.f32 (/.f32 1/4 (/.f32 v (exp.f32 6931/5000))) v)))
(.f32 (cbrt.f32 (/.f32 1/4 (/.f32 (.f32 v v) (exp.f32 6931/5000)))) (cbrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(.f32 (cbrt.f32 (/.f32 (.f32 (exp.f32 6931/10000) 1/2) v)) (cbrt.f32 (.f32 (/.f32 1/4 (.f32 v v)) (exp.f32 6931/5000))))
(.f32 (cbrt.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (cbrt.f32 (*.f32 (exp.f32 6931/5000) (/.f32 (/.f32 1/4 v) v))))
(.f32 (cbrt.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (cbrt.f32 (/.f32 (/.f32 1/4 (/.f32 v (exp.f32 6931/5000))) v)))
(.f32 (sqrt.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) (sqrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(.f32 -1/2 (/.f32 1 (.f32 (neg.f32 v) (exp.f32 -6931/10000))))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 (neg.f32 v)) (neg.f32 (exp.f32 6931/10000)))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(.f32 (.f32 (/.f32 1/2 v) 1) (exp.f32 6931/10000))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(.f32 (.f32 (/.f32 1/2 v) (cbrt.f32 (exp.f32 6931/5000))) (cbrt.f32 (exp.f32 6931/10000)))
(.f32 (cbrt.f32 (exp.f32 6931/10000)) (.f32 (cbrt.f32 (exp.f32 6931/5000)) (/.f32 1/2 v)))
(.f32 (cbrt.f32 (exp.f32 6931/5000)) (.f32 (/.f32 1/2 v) (cbrt.f32 (exp.f32 6931/10000))))
(.f32 1/2 (/.f32 (.f32 (cbrt.f32 (exp.f32 6931/5000)) (cbrt.f32 (exp.f32 6931/10000))) v))
(.f32 (.f32 (/.f32 1/2 v) (sqrt.f32 (exp.f32 6931/10000))) (sqrt.f32 (exp.f32 6931/10000)))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 1)
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(pow.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 3) 1/3)
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) 3)
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(pow.f32 (sqrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) 2)
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(pow.f32 (.f32 (.f32 v (exp.f32 -6931/10000)) 2) -1)
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(sqrt.f32 (/.f32 1/4 (/.f32 (*.f32 v v) (exp.f32 6931/5000))))
(sqrt.f32 (.f32 (/.f32 1/4 (.f32 v v)) (exp.f32 6931/5000)))
(sqrt.f32 (*.f32 (exp.f32 6931/5000) (/.f32 (/.f32 1/4 v) v)))
(sqrt.f32 (/.f32 (/.f32 1/4 (/.f32 v (exp.f32 6931/5000))) v))
(log.f32 (pow.f32 (exp.f32 1/2) (/.f32 (exp.f32 6931/10000) v)))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 3))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))

localize77.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 34 computations (27.7% saved)

series6.0ms (0%)

Counts

4 → 39

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	v	@	-inf	(exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)))
1.0ms	v	@	-inf	(*.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
1.0ms	v	@	inf	(*.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
1.0ms	v	@	inf	(exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)))
0.0ms	v	@	0	(*.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`prod-diff_binary32`
493×	`log-prod_binary32`
295×	`pow2_binary32`
279×	`fma-def_binary32`
204×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	239	46
2	3081	46

Stop Event

1×	node limit

Counts

4 → 228

Calls

Call 1

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

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

simplify154.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

444×	`fma-neg_binary32`
399×	`log-prod_binary32`
289×	`fma-def_binary32`
283×	`cube-prod_binary32`
266×	`exp-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	528	6126
1	1339	5636
2	5155	5566

Stop Event

1×	node limit

Counts

267 → 387

Calls

Call 1

Inputs
(/.f32 -1 v)
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))
(-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 -1 (log.f32 (/.f32 1 v)))))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 -1 (log.f32 (/.f32 1 v)))))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 -1 (log.f32 (/.f32 1 v)))))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1))))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1))))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) v)) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) v)) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 2))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1))))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) v)) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) v)) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) (pow.f32 v 2))))))
(/.f32 -1 v)
6931/10000
6931/10000
(*.f32 1/2 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(*.f32 1/2 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(*.f32 1/2 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(*.f32 1/2 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(.f32 1/2 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))))
(+.f32 (.f32 1/2 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v)))))) (.f32 -1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) v)))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (.f32 1/2 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v)))))) (.f32 -1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) v))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (.f32 -1/12 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v)))))) (.f32 -1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) v)))))
(.f32 1/2 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1))))) (.f32 -1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) v)))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) (pow.f32 v 2))) (+.f32 (.f32 1/2 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1))))) (.f32 -1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) v))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) (pow.f32 v 2))) (+.f32 (.f32 1/2 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1))))) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) v)) (.f32 -1/12 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) (pow.f32 v 3))))))
(+.f32 6931/10000 (neg.f32 (+.f32 (/.f32 1 v) (log.f32 v))))
(+.f32 6931/10000 (-.f32 (/.f32 -1 v) (log.f32 v)))
(+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (neg.f32 (log.f32 v)))
(+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (*.f32 (neg.f32 (log.f32 v)) 1))
(+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) 0)
(+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) (fma.f32 (neg.f32 (log.f32 v)) 1 (log.f32 v)))
(+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 v))) (pow.f32 (cbrt.f32 (log.f32 v)) 2) (log.f32 v)))
(+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) (+.f32 (neg.f32 (log.f32 v)) (log.f32 v)))
(+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) (fma.f32 -1 (log.f32 v) (log.f32 v)))
(+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) (fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (log.f32 v)) 2)) (cbrt.f32 (log.f32 v)) (log.f32 v)))
(+.f32 0 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(+.f32 (neg.f32 (log.f32 v)) (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (.f32 1/2 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) (.f32 1/2 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(+.f32 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) (.f32 2 (*.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))))
(+.f32 (.f32 2 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))) (*.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(*.f32 1 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(*.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) 1)
(*.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) (cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) 2)) (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(*.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(.f32 3 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(*.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3) (pow.f32 (log.f32 v) 3)) (/.f32 1 (fma.f32 (log.f32 v) (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 v))) (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2))))
(*.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2) (pow.f32 (log.f32 v) 2)) (/.f32 1 (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 v)))))
(.f32 2 (.f32 1/2 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(.f32 1/3 (.f32 3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(*.f32 (+.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) (sqrt.f32 (log.f32 v))) (-.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) (sqrt.f32 (log.f32 v))))
(/.f32 1 (/.f32 (fma.f32 (log.f32 v) (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 v))) (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2)) (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3) (pow.f32 (log.f32 v) 3))))
(/.f32 1 (/.f32 (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 v))) (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2) (pow.f32 (log.f32 v) 2))))
(/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3) (pow.f32 (log.f32 v) 3)) (fma.f32 (log.f32 v) (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 v))) (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2)))
(/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2) (pow.f32 (log.f32 v) 2)) (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3) (pow.f32 (log.f32 v) 3))) (neg.f32 (fma.f32 (log.f32 v) (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 v))) (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2) (pow.f32 (log.f32 v) 2))) (neg.f32 (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 v)))))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 3)) (+.f32 48038761/100000000 (+.f32 (pow.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 2) (*.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))))
(/.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3) (pow.f32 (neg.f32 (log.f32 v)) 3)) (+.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2) (-.f32 (pow.f32 (neg.f32 (log.f32 v)) 2) (*.f32 (+.f32 6931/10000 (/.f32 -1 v)) (neg.f32 (log.f32 v))))))
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(pow.f32 (pow.f32 (E.f32) (cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) 2))) (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(pow.f32 (pow.f32 (E.f32) (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))) (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(pow.f32 (pow.f32 (E.f32) (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3) (pow.f32 (log.f32 v) 3))) (/.f32 1 (fma.f32 (log.f32 v) (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 v))) (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2))))
(pow.f32 (pow.f32 (E.f32) (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2) (pow.f32 (log.f32 v) 2))) (/.f32 1 (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 v)))))
(pow.f32 (pow.f32 (E.f32) (+.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) (sqrt.f32 (log.f32 v)))) (-.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) (sqrt.f32 (log.f32 v))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))) 1) (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))) (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))) (cbrt.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))) (sqrt.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))) (sqrt.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))) (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) 2)))) (sqrt.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) 2))) 1) (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) 2))) (pow.f32 (cbrt.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))) 2)) (cbrt.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) 2))) (cbrt.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))) (cbrt.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) 2))) (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) 2)))) (cbrt.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) 2))) (sqrt.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))) (sqrt.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))))
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2))
(log.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 3))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(+.f32 6931/10000 (/.f32 -1 v))
(+.f32 6931/10000 (*.f32 (/.f32 -1 v) 1))
(+.f32 0 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (/.f32 -1 v) 6931/10000)
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) (log.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(*.f32 1 (+.f32 6931/10000 (/.f32 -1 v)))
(*.f32 (+.f32 6931/10000 (/.f32 -1 v)) 1)
(*.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) (cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) (sqrt.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (-.f32 332956652491/1000000000000 (pow.f32 v -3)) (/.f32 1 (+.f32 (+.f32 48038761/100000000 (pow.f32 v -2)) (/.f32 6931/10000 v))))
(*.f32 (-.f32 48038761/100000000 (pow.f32 v -2)) (/.f32 1 (+.f32 6931/10000 (/.f32 1 v))))
(/.f32 1 (/.f32 (+.f32 (+.f32 48038761/100000000 (pow.f32 v -2)) (/.f32 6931/10000 v)) (-.f32 332956652491/1000000000000 (pow.f32 v -3))))
(/.f32 1 (/.f32 (+.f32 6931/10000 (/.f32 1 v)) (-.f32 48038761/100000000 (pow.f32 v -2))))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 v -3)) (+.f32 (+.f32 48038761/100000000 (pow.f32 v -2)) (/.f32 6931/10000 v)))
(/.f32 (-.f32 48038761/100000000 (pow.f32 v -2)) (+.f32 6931/10000 (/.f32 1 v)))
(/.f32 (neg.f32 (-.f32 332956652491/1000000000000 (pow.f32 v -3))) (neg.f32 (+.f32 (+.f32 48038761/100000000 (pow.f32 v -2)) (/.f32 6931/10000 v))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 v -2))) (neg.f32 (+.f32 6931/10000 (/.f32 1 v))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 -1 v) 3)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (/.f32 -1 v) 2) (*.f32 6931/10000 (/.f32 -1 v)))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 -1 v) 2)) (-.f32 6931/10000 (/.f32 -1 v)))
(pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 1)
(pow.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2) 1/2)
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3)
(pow.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)
(pow.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3) 1/3)
(pow.f32 (/.f32 (+.f32 (+.f32 48038761/100000000 (pow.f32 v -2)) (/.f32 6931/10000 v)) (-.f32 332956652491/1000000000000 (pow.f32 v -3))) -1)
(pow.f32 (/.f32 (+.f32 6931/10000 (/.f32 1 v)) (-.f32 48038761/100000000 (pow.f32 v -2))) -1)
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2))
(log.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(exp.f32 (log.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1))
(fma.f32 1 (/.f32 -1 v) 6931/10000)
(fma.f32 (cbrt.f32 (pow.f32 v -2)) (neg.f32 (/.f32 1 (cbrt.f32 v))) 6931/10000)
(fma.f32 (pow.f32 v -1/2) (neg.f32 (pow.f32 v -1/2)) 6931/10000)
(fma.f32 -1 (/.f32 1 v) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 -1 v)) 2) (cbrt.f32 (/.f32 -1 v)) 6931/10000)
(fma.f32 (sqrt.f32 (/.f32 -1 v)) (sqrt.f32 (/.f32 -1 v)) 6931/10000)
(fma.f32 (neg.f32 (cbrt.f32 (pow.f32 v -2))) (/.f32 1 (cbrt.f32 v)) 6931/10000)
(fma.f32 (neg.f32 (pow.f32 v -1/2)) (pow.f32 v -1/2) 6931/10000)
(+.f32 0 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))) 2)) (log.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))))
(+.f32 (log.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))) (log.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2))) 1)
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1/2) v)
(/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)
(pow.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2) 1)
(pow.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2) 1/4) 1/2)
(pow.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2)) 3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2)) 2)
(sqrt.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2) 1/4))
(log.f32 (sqrt.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2) 3))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2)))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2)))
(exp.f32 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) (log.f32 1/2)))
(exp.f32 (*.f32 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) (log.f32 1/2)) 1))

Outputs
(/.f32 -1 v)
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))
(+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 v)))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))
(+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 v)))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))
(+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 v)))
(-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (neg.f32 (log.f32 v)))
(-.f32 6931/10000 (log.f32 v))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 -1 (log.f32 (/.f32 1 v)))))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))
(+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 v)))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 -1 (log.f32 (/.f32 1 v)))))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))
(+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 v)))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 -1 (log.f32 (/.f32 1 v)))))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))
(+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 v)))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))
(-.f32 6931/10000 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)))
(-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 -1 v))) (log.f32 -1))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1))))
(-.f32 6931/10000 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (+.f32 (/.f32 1 v) (log.f32 -1))))
(-.f32 6931/10000 (-.f32 (+.f32 (/.f32 1 v) (log.f32 -1)) (log.f32 (/.f32 -1 v))))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1)))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1))))
(-.f32 6931/10000 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (+.f32 (/.f32 1 v) (log.f32 -1))))
(-.f32 6931/10000 (-.f32 (+.f32 (/.f32 1 v) (log.f32 -1)) (log.f32 (/.f32 -1 v))))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1)))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1))))
(-.f32 6931/10000 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (+.f32 (/.f32 1 v) (log.f32 -1))))
(-.f32 6931/10000 (-.f32 (+.f32 (/.f32 1 v) (log.f32 -1)) (log.f32 (/.f32 -1 v))))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v)
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v)
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v)
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v)
(exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v)))))
(exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) v)))
(-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) v)) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) (fma.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) v) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) (.f32 v v)))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (-.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) (.f32 v v))))
(+.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) v)) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 2))))))
(+.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) (fma.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) v) (fma.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) (pow.f32 v 3)) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) (.f32 v v))))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (.f32 (/.f32 -1/6 v) (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))) (/.f32 (exp.f32 6931/10000) (.f32 v v))))
(+.f32 (/.f32 (exp.f32 6931/10000) v) (-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)))) (/.f32 (exp.f32 6931/10000) (.f32 v v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1))))
(exp.f32 (-.f32 6931/10000 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1))))
(exp.f32 (-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v)))))
(/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 -1 v)))) -1)
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)))) (neg.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)))) v)))
(-.f32 (exp.f32 (-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))))) (/.f32 (exp.f32 (-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))))) v))
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(+.f32 (log.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))) (log.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))))
(*.f32 2 (log.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2))) 1)
(*.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) 1/2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1/2) v)
(*.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) 1/2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)
(*.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) 1/2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2) 1)
(*.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) 1/2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2) 1/4) 1/2)
(sqrt.f32 (*.f32 1/4 (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v) 2)))
(sqrt.f32 (*.f32 1/4 (pow.f32 (/.f32 v (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000))) -2)))
(fabs.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v)))
(pow.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2) 3) 1/3)
(*.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) 1/2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2)) 3)
(*.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) 1/2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2)) 2)
(*.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) 1/2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(sqrt.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2) 1/4))
(sqrt.f32 (*.f32 1/4 (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v) 2)))
(sqrt.f32 (*.f32 1/4 (pow.f32 (/.f32 v (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000))) -2)))
(fabs.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v)))
(log.f32 (sqrt.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))
(log.f32 (sqrt.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2))))
(*.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) 1/2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2) 3))
(*.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) 1/2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2)))
(*.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) 1/2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2)))
(*.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) 1/2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) (log.f32 1/2)))
(*.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) 1/2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (*.f32 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) (log.f32 1/2)) 1))
(*.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))) 1/2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))

localize68.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f32 (exp.f32 1) (/.f32 -1 v))
✓	0.2b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (/.f32 -1 v)))
	0.3b	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))

Compiler

Compiled 45 to 38 computations (15.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`log-prod_binary32`
415×	`exp-prod_binary32`
346×	`pow-prod-down_binary32`
307×	`pow2_binary32`
269×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	260	21
2	2952	21

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

446×	`fma-def_binary32`
363×	`distribute-rgt-in_binary32`
356×	`associate-*l/_binary32`
345×	`distribute-lft-in_binary32`
312×	`associate-*r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1099
1	399	1062
2	1288	1022
3	6645	1022

Stop Event

1×	node limit

Counts

74 → 86

Calls

Call 1

Inputs
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.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))))))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 0 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))) 1)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v 2))
(/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)
(/.f32 (*.f32 -1/2 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (neg.f32 v))
(/.f32 (.f32 (.f32 1/2 (exp.f32 6931/10000)) (exp.f32 (/.f32 -1 v))) v)
(/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (exp.f32 6931/10000))) v)
(pow.f32 (E.f32) (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 1)
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2) 1/2)
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2)) (cbrt.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (sqrt.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 3))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(exp.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (*.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1))
(exp.f32 (.f32 (.f32 3 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 1/3))
(exp.f32 (.f32 (.f32 1/3 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3))
(exp.f32 (.f32 (.f32 1/2 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2))
(exp.f32 (.f32 (.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1) 1))
(+.f32 0 (exp.f32 (/.f32 -1 v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 -1 v)))) 1)
(*.f32 1 (exp.f32 (/.f32 -1 v)))
(*.f32 (exp.f32 (/.f32 -1 v)) 1)
(*.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) (pow.f32 (exp.f32 2/3) (/.f32 -1 v)))
(*.f32 (pow.f32 (exp.f32 2/3) (/.f32 -1 v)) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) (sqrt.f32 (exp.f32 (/.f32 -1 v))))
(.f32 (pow.f32 (E.f32) (.f32 2 (*.f32 1/3 (/.f32 -1 v)))) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(/.f32 (pow.f32 (E.f32) (exp.f32 (log1p.f32 (/.f32 -1 v)))) (E.f32))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 2))
(log.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 -1 v)))))
(cbrt.f32 (pow.f32 (exp.f32 3) (/.f32 -1 v)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 -1 v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(exp.f32 (.f32 (.f32 3 (/.f32 -1 v)) 1/3))
(exp.f32 (.f32 (.f32 1/3 (/.f32 -1 v)) 3))

Outputs
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (exp.f32 6931/10000) (/.f32 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 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v))))
(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (/.f32 (exp.f32 6931/10000) (/.f32 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 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)))))
(fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (/.f32 (exp.f32 6931/10000) (/.f32 v 1/2))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (+.f32 (/.f32 1/4 v) -1/2)))
(+.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))))))
(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 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (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)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (exp.f32 6931/10000) (/.f32 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 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v))))
(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (/.f32 (exp.f32 6931/10000) (/.f32 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 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)))))
(fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (/.f32 (exp.f32 6931/10000) (/.f32 v 1/2))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (+.f32 (/.f32 1/4 v) -1/2)))
(+.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))))))
(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 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (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)))))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
1
(-.f32 1 (/.f32 1 v))
(+.f32 (/.f32 -1 v) 1)
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(+.f32 (/.f32 1/2 (*.f32 v v)) (-.f32 1 (/.f32 1 v)))
(+.f32 1 (-.f32 (/.f32 1/2 (*.f32 v v)) (/.f32 1 v)))
(+.f32 (/.f32 -1 v) (+.f32 1 (/.f32 (/.f32 1/2 v) v)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 (/.f32 1/2 (*.f32 v v)) (-.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3)))))
(-.f32 (+.f32 1 (-.f32 (/.f32 1/2 (*.f32 v v)) (/.f32 1 v))) (/.f32 1/6 (pow.f32 v 3)))
(+.f32 1 (+.f32 (+.f32 (/.f32 -1 v) (/.f32 (/.f32 1/2 v) v)) (/.f32 -1/6 (pow.f32 v 3))))
1
(-.f32 1 (/.f32 1 v))
(+.f32 (/.f32 -1 v) 1)
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(+.f32 (/.f32 1/2 (*.f32 v v)) (-.f32 1 (/.f32 1 v)))
(+.f32 1 (-.f32 (/.f32 1/2 (*.f32 v v)) (/.f32 1 v)))
(+.f32 (/.f32 -1 v) (+.f32 1 (/.f32 (/.f32 1/2 v) v)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 (/.f32 1/2 (*.f32 v v)) (-.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3)))))
(-.f32 (+.f32 1 (-.f32 (/.f32 1/2 (*.f32 v v)) (/.f32 1 v))) (/.f32 1/6 (pow.f32 v 3)))
(+.f32 1 (+.f32 (+.f32 (/.f32 -1 v) (/.f32 (/.f32 1/2 v) v)) (/.f32 -1/6 (pow.f32 v 3))))
(+.f32 0 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000))))))
(*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))) 1)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 v 2))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(/.f32 (*.f32 -1/2 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (neg.f32 v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(/.f32 (.f32 (.f32 1/2 (exp.f32 6931/10000)) (exp.f32 (/.f32 -1 v))) v)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (exp.f32 6931/10000))) v)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (E.f32) (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 1)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2) 1/2)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 3) 1/3)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 3)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 2)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2)) (cbrt.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.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)))))
(pow.f32 (exp.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))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (sqrt.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))) (sqrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
(pow.f32 (exp.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))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 3))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (*.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (.f32 (.f32 3 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 1/3))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (.f32 (.f32 1/3 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (.f32 (.f32 1/2 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(exp.f32 (.f32 (.f32 (+.f32 (/.f32 -1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1) 1))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v))
(+.f32 0 (exp.f32 (/.f32 -1 v)))
(exp.f32 (/.f32 -1 v))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(exp.f32 (/.f32 -1 v))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 -1 v)))) 1)
(exp.f32 (/.f32 -1 v))
(*.f32 1 (exp.f32 (/.f32 -1 v)))
(exp.f32 (/.f32 -1 v))
(*.f32 (exp.f32 (/.f32 -1 v)) 1)
(exp.f32 (/.f32 -1 v))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) (pow.f32 (exp.f32 2/3) (/.f32 -1 v)))
(*.f32 (pow.f32 (exp.f32 2/3) (/.f32 -1 v)) (exp.f32 (/.f32 -1/3 v)))
(*.f32 (pow.f32 (exp.f32 2/3) (/.f32 -1 v)) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) (pow.f32 (exp.f32 2/3) (/.f32 -1 v)))
(*.f32 (pow.f32 (exp.f32 2/3) (/.f32 -1 v)) (exp.f32 (/.f32 -1/3 v)))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) (sqrt.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(.f32 (pow.f32 (E.f32) (.f32 2 (*.f32 1/3 (/.f32 -1 v)))) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(exp.f32 (/.f32 -1 v))
(/.f32 (pow.f32 (E.f32) (exp.f32 (log1p.f32 (/.f32 -1 v)))) (E.f32))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 2))
(exp.f32 (/.f32 -1 v))
(log.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 -1 v)))))
(exp.f32 (/.f32 -1 v))
(cbrt.f32 (pow.f32 (exp.f32 3) (/.f32 -1 v)))
(exp.f32 (/.f32 -1 v))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (.f32 (.f32 3 (/.f32 -1 v)) 1/3))
(exp.f32 (/.f32 -1 v))
(exp.f32 (.f32 (.f32 1/3 (/.f32 -1 v)) 3))
(exp.f32 (/.f32 -1 v))

localize86.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
✓	0.1b	(pow.f32 (exp.f32 1) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v))
✓	0.2b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)))
	0.3b	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))

Compiler

Compiled 66 to 43 computations (34.8% saved)

series51.0ms (0.4%)

Counts

3 → 96

Calls

27 calls:

Time	Variable		Point	Expression
38.0ms	v	@	inf	(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
1.0ms	v	@	0	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)))
1.0ms	cosTheta_i	@	-inf	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)))
1.0ms	cosTheta_O	@	-inf	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)))
1.0ms	cosTheta_i	@	inf	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)))

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`log-prod_binary32`
371×	`prod-diff_binary32`
286×	`expm1-udef_binary32`
286×	`log1p-udef_binary32`
232×	`log-pow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	339	37
2	4303	37

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

403×	`unswap-sqr_binary32`
228×	`associate-r_binary32`
211×	`associate-l_binary32`
196×	`log-prod_binary32`
175×	`cube-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	4770
1	1120	4572
2	4141	4170

Stop Event

1×	node limit

Counts

249 → 248

Calls

Call 1

Inputs
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 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 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 3) (exp.f32 6931/10000)) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 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 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 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 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 3) (exp.f32 6931/10000)) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2) (exp.f32 6931/10000)) (pow.f32 v 3))))))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 2)))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2)))))
(+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 3)))) (pow.f32 v 4))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 2)))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2))))))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 2)))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2)))))
(+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 3)))) (pow.f32 v 4))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) (pow.f32 cosTheta_O 2)))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) cosTheta_O))) (pow.f32 v 2))))))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(exp.f32 (/.f32 -1 v))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (/.f32 -1 v)) cosTheta_O)) v) (exp.f32 (/.f32 -1 v)))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (/.f32 -1 v)) cosTheta_O)) v) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (*.f32 (exp.f32 (/.f32 -1 v)) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (exp.f32 (/.f32 -1 v))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (/.f32 -1 v)) cosTheta_O)) v) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (/.f32 -1 v)) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (/.f32 -1 v)) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (exp.f32 (/.f32 -1 v)))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v))
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(+.f32 (fma.f32 (/.f32 1 (sqrt.f32 v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (sqrt.f32 v)) (neg.f32 (.f32 (cbrt.f32 (/.f32 1 v)) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v)))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))))))
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(+.f32 (fma.f32 (/.f32 cosTheta_O (sqrt.f32 v)) (/.f32 cosTheta_i (sqrt.f32 v)) (neg.f32 (.f32 (cbrt.f32 (/.f32 1 v)) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v)))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))))))
(+.f32 (fma.f32 (/.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (neg.f32 (.f32 (cbrt.f32 (/.f32 1 v)) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v)))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))))))
(+.f32 (fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (neg.f32 (.f32 (cbrt.f32 (/.f32 1 v)) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v)))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))))))
(+.f32 (log.f32 (pow.f32 1 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (log.f32 (pow.f32 (exp.f32 1/3) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(+.f32 (log.f32 (pow.f32 (exp.f32 1/2) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (log.f32 (pow.f32 (exp.f32 1/2) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 1 v))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 1)
(-.f32 (log.f32 (pow.f32 (E.f32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (log.f32 (pow.f32 (E.f32) (/.f32 1 v))))
(*.f32 1 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(*.f32 (fma.f32 cosTheta_i cosTheta_O -1) (/.f32 1 v))
(*.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 1)
(*.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) (cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 2)))
(*.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) (log.f32 (pow.f32 (E.f32) (cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 2)))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 2)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) 2) (.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 v)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) (log.f32 (pow.f32 (E.f32) (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))
(.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 v)))
(*.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 (neg.f32 v)))
(*.f32 (/.f32 1 v) (fma.f32 cosTheta_i cosTheta_O -1))
(.f32 3 (.f32 1/3 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(.f32 2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 2 v)))
(.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 2 v)) 2)
(.f32 1/3 (.f32 3 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(.f32 (/.f32 1 (cbrt.f32 (.f32 v v))) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (cbrt.f32 v)))
(*.f32 (/.f32 1 (sqrt.f32 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (sqrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) 2) 1) (/.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) v))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) 1) (/.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) v))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) 2) (cbrt.f32 (.f32 v v))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (cbrt.f32 (.f32 v v))) (/.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (cbrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (sqrt.f32 v)))
(pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 1)
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 3) 1/3)
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 3)
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 2)
(pow.f32 (/.f32 v (fma.f32 cosTheta_i cosTheta_O -1)) -1)
(neg.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (neg.f32 v)))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 2))
(log.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 3))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 1))
(fma.f32 1 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (neg.f32 (/.f32 1 v)))
(fma.f32 1 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 2 v)))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 1 v) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 1/2 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (*.f32 2 v)))
(fma.f32 (.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 2 v))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 2 v)))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 2 v))) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (*.f32 2 v)))
(fma.f32 (*.f32 (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (neg.f32 (/.f32 1 v)))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 2 v))) (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (.f32 2 v))) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) (*.f32 2 v)))
(fma.f32 (sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 cosTheta_i 1) (/.f32 cosTheta_O v) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 cosTheta_O 1) (/.f32 cosTheta_i v) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2)) 1) (/.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) v) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) 1) (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) v) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 1 (cbrt.f32 (.f32 v v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (cbrt.f32 v)) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 cosTheta_i (cbrt.f32 (*.f32 v v))) (/.f32 cosTheta_O (cbrt.f32 v)) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 cosTheta_O (cbrt.f32 (*.f32 v v))) (/.f32 cosTheta_i (cbrt.f32 v)) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2)) (cbrt.f32 (.f32 v v))) (/.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (cbrt.f32 v)) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (cbrt.f32 (.f32 v v))) (/.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (cbrt.f32 v)) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 1 (sqrt.f32 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sqrt.f32 v)) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 cosTheta_O (sqrt.f32 v)) (/.f32 cosTheta_i (sqrt.f32 v)) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (neg.f32 (/.f32 1 v)))
(fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (neg.f32 (/.f32 1 v)))

Outputs
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)) (exp.f32 6931/10000)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))))
(.f32 1/2 (+.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (.f32 (exp.f32 6931/10000) (fma.f32 cosTheta_i cosTheta_O -1)) (*.f32 v v))))
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(fma.f32 (/.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2)) (cbrt.f32 (.f32 v v))) (/.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (cbrt.f32 v)) (/.f32 -1 v))
(fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (cbrt.f32 (.f32 v v))) (/.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (cbrt.f32 v)) (neg.f32 (/.f32 1 v)))
(+.f32 (+.f32 (/.f32 -1 v) (/.f32 1 v)) (fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (cbrt.f32 (.f32 v v))) (/.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (cbrt.f32 v)) (/.f32 -1 v)))
(+.f32 (.f32 (/.f32 1 v) 0) (fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (cbrt.f32 (.f32 v v))) (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (cbrt.f32 v)) (/.f32 -1 v)))
(fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (cbrt.f32 (.f32 v v))) (/.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (cbrt.f32 v)) (/.f32 -1 v))
(fma.f32 (/.f32 1 (sqrt.f32 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sqrt.f32 v)) (neg.f32 (/.f32 1 v)))
(+.f32 (+.f32 (/.f32 -1 v) (/.f32 1 v)) (fma.f32 (/.f32 1 (sqrt.f32 v)) (/.f32 cosTheta_i (/.f32 (sqrt.f32 v) cosTheta_O)) (/.f32 -1 v)))
(+.f32 (.f32 (/.f32 1 v) 0) (fma.f32 (/.f32 1 (sqrt.f32 v)) (.f32 (/.f32 cosTheta_i (sqrt.f32 v)) cosTheta_O) (/.f32 -1 v)))
(fma.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)) (/.f32 -1 v))
(fma.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)) (neg.f32 (/.f32 1 v)))
(+.f32 (+.f32 (/.f32 -1 v) (/.f32 1 v)) (fma.f32 (/.f32 1 (sqrt.f32 v)) (/.f32 cosTheta_i (/.f32 (sqrt.f32 v) cosTheta_O)) (/.f32 -1 v)))
(+.f32 (.f32 (/.f32 1 v) 0) (fma.f32 (/.f32 1 (sqrt.f32 v)) (.f32 (/.f32 cosTheta_i (sqrt.f32 v)) cosTheta_O) (/.f32 -1 v)))
(fma.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)) (/.f32 -1 v))
(fma.f32 (/.f32 cosTheta_O (sqrt.f32 v)) (/.f32 cosTheta_i (sqrt.f32 v)) (neg.f32 (/.f32 1 v)))
(+.f32 (+.f32 (/.f32 -1 v) (/.f32 1 v)) (fma.f32 (/.f32 1 (sqrt.f32 v)) (/.f32 cosTheta_i (/.f32 (sqrt.f32 v) cosTheta_O)) (/.f32 -1 v)))
(+.f32 (.f32 (/.f32 1 v) 0) (fma.f32 (/.f32 1 (sqrt.f32 v)) (.f32 (/.f32 cosTheta_i (sqrt.f32 v)) cosTheta_O) (/.f32 -1 v)))
(fma.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)) (/.f32 -1 v))
(fma.f32 (/.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (neg.f32 (/.f32 1 v)))
(+.f32 (+.f32 (/.f32 -1 v) (/.f32 1 v)) (fma.f32 (/.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (/.f32 -1 v)))
(+.f32 (.f32 (/.f32 1 v) 0) (fma.f32 (/.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (/.f32 -1 v)))
(fma.f32 (/.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) 2)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (/.f32 -1 v))
(fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (neg.f32 (/.f32 1 v)))
(+.f32 (+.f32 (/.f32 -1 v) (/.f32 1 v)) (fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (/.f32 -1 v)))
(+.f32 (.f32 (/.f32 1 v) 0) (fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (/.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (/.f32 -1 v)))
(fma.f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v)) (/.f32 -1 v))

eval765.0ms (5.7%)

Compiler: Compiled 28309 to 20304 computations (28.3% saved)

prune419.0ms (3.1%)

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	1197	9	1206
Fresh	6	10	16
Picked	0	1	1
Done	4	6	10
Total	1207	26	1233

Error

0.0b

Counts

1233 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(pow.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2) 3) 1/3)
	0.2b	(pow.f32 (cbrt.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2)) 3)
✓	0.2b	(.f32 (pow.f32 (E.f32) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 6931/10000 (/.f32 -1 v))))) (/.f32 1/2 v))
	0.3b	(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
	8.6b	(.f32 (.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (pow.f32 (E.f32) (-.f32 (/.f32 -1 v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)))) (/.f32 1/2 v))
	0.3b	(.f32 (.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 6931/30000) 3)) (pow.f32 (exp.f32 1) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)))
	0.6b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 (*.f32 (/.f32 -1 v) 3)) 1/3))
✓	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)))
✓	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (/.f32 -1 v)))
	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 -2) (/.f32 1/2 v)))
	2.7b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (/.f32 (pow.f32 (E.f32) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (pow.f32 (E.f32) (/.f32 1 v))))
	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (*.f32 (pow.f32 (E.f32) (/.f32 -2/3 v)) (pow.f32 (E.f32) (/.f32 -1/3 v))))
✓	0.3b	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 -1 v)))
	2.6b	(.f32 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 1/2 v))
✓	0.2b	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))
	0.1b	(.f32 1/2 (pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) (log.f32 v))))
	0.2b	(*.f32 1/2 (/.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v))
	1.8b	(.f32 1/2 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) v))
	0.2b	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
✓	0.2b	(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
	0.2b	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 1 v) (log.f32 v)))))
	0.3b	(*.f32 1/2 (exp.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (/.f32 -1 v) 6931/10000) 2) (pow.f32 (log.f32 v) 2)) (+.f32 (/.f32 -1 v) (+.f32 (log.f32 v) 6931/10000)))))
	0.9b	(*.f32 1/2 (exp.f32 (/.f32 -1 v)))
✓	0.2b	(*.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
	0.2b	(exp.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2)))))
	0.2b	(exp.f32 (.f32 (.f32 1/3 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2))))) 3))

Compiler

Compiled 526 to 434 computations (17.5% saved)

regimes260.0ms (1.9%)

Counts

54 → 1

Calls

Call 1

Inputs
(*.f32 1/2 (exp.f32 (/.f32 -1 v)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (exp.f32 (/.f32 (neg.f32 sinTheta_i) (/.f32 v sinTheta_O))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.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))
(exp.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2)))))
(*.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 -1 v)))
(exp.f32 (.f32 (.f32 1/3 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2))))) 3))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 1 v)))
(.f32 1/2 (/.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) v))
(.f32 (.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 1/2 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 (.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
(.f32 (pow.f32 (E.f32) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 6931/10000 (/.f32 -1 v))))) (/.f32 1/2 v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 1 v) (log.f32 v)))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 -2) (/.f32 1/2 v)))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (/.f32 -1 v)))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 3)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2)) 3)
(*.f32 1/2 (/.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) v))
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 3) 1/3)
(pow.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1/2) 3) 1/3)
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 (*.f32 (/.f32 -1 v) 3)) 1/3))
(.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))) (log.f32 v))))
(.f32 1/2 (/.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1)))) v))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)))
(.f32 1/2 (pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v))) (log.f32 v))))
(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))) 3)
(.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 3) 1/3) (/.f32 1/2 v))
(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))) 3)
(pow.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))) 2)
(.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) 3) 1/3) (/.f32 1/2 v))
(*.f32 1/2 (pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (log.f32 v)))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 1) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(.f32 (.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 6931/30000) 3)) (pow.f32 (exp.f32 1) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (*.f32 (pow.f32 (E.f32) (/.f32 -2/3 v)) (pow.f32 (E.f32) (/.f32 -1/3 v))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (/.f32 (pow.f32 (E.f32) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (pow.f32 (E.f32) (/.f32 1 v))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) 3) 1/3))
(.f32 (.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 6931/30000) 3)) (pow.f32 (exp.f32 1) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
(.f32 (.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (pow.f32 (E.f32) (-.f32 (/.f32 -1 v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)))) (/.f32 1/2 v))
(*.f32 1/2 (exp.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (/.f32 -1 v) 6931/10000) 2) (pow.f32 (log.f32 v) 2)) (+.f32 (/.f32 -1 v) (+.f32 (log.f32 v) 6931/10000)))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (exp.f32 (/.f32 -1 (cbrt.f32 v))) (cbrt.f32 (pow.f32 v -2))))
(*.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (/.f32 1/2 v))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 2)) (cbrt.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))

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

Calls

9 calls:

54.0ms	cosTheta_O
26.0ms	(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)))))
25.0ms	(+.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))))
24.0ms	cosTheta_i
24.0ms	v

Results

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

Compiler

Compiled 1027 to 701 computations (31.7% saved)

regimes188.0ms (1.4%)

Counts

35 → 1

Calls

Call 1

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

Outputs
(.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (.f32 (/.f32 1 v) (fma.f32 sinTheta_i sinTheta_O 1))) (log.f32 v))))

Calls

9 calls:

37.0ms	cosTheta_i
16.0ms	sinTheta_i
16.0ms	cosTheta_O
16.0ms	v
15.0ms	sinTheta_O

Results

Error	Segments	Branch
0.2b	1	`cosTheta_i`
0.2b	1	`cosTheta_O`
0.2b	1	`sinTheta_i`
0.2b	1	`sinTheta_O`
0.2b	1	`v`
0.2b	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)))))`
0.2b	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))))`
0.2b	1	`(*.f32 cosTheta_i cosTheta_O)`
0.2b	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 606 to 437 computations (27.9% saved)

regimes136.0ms (1%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

9 calls:

27.0ms	(*.f32 sinTheta_i sinTheta_O)
17.0ms	sinTheta_O
14.0ms	v
14.0ms	sinTheta_i
13.0ms	cosTheta_i

Results

Error	Segments	Branch
0.2b	1	`cosTheta_i`
0.2b	1	`cosTheta_O`
0.2b	1	`sinTheta_i`
0.2b	1	`sinTheta_O`
0.2b	1	`v`
0.2b	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)))))`
0.2b	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))))`
0.2b	1	`(*.f32 cosTheta_i cosTheta_O)`
0.2b	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 541 to 393 computations (27.4% saved)

regimes48.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
0.2b	1	`cosTheta_i`
0.2b	1	`cosTheta_O`
0.2b	1	`sinTheta_i`
0.2b	1	`sinTheta_O`
0.2b	1	`v`

Compiler

Compiled 98 to 80 computations (18.4% saved)

regimes44.0ms (0.3%)

Accuracy

Total -29.7b remaining (-3438.7%)

Threshold costs -29.7b (-3438.7%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
0.9b	1	`cosTheta_i`
0.9b	1	`cosTheta_O`
0.9b	1	`sinTheta_i`
0.9b	1	`sinTheta_O`
0.9b	1	`v`

Compiler

Compiled 68 to 56 computations (17.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary32`
18×	`*-commutative_binary32`
16×	`sub-neg_binary32`
11×	`neg-sub0_binary32`
10×	`neg-mul-1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	99
1	64	97
2	91	97
3	112	97
4	132	97
5	141	97
6	146	97
7	148	97

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 89 to 73 computations (18% saved)

soundness85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

688×	`fma-def_binary32`
507×	`exp-sum_binary32`
492×	`fma-neg_binary32`
429×	`exp-diff_binary32`
428×	`sub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	35
1	53	33
2	147	31
3	583	29
4	2984	29

Stop Event

1×	node limit

Compiler

Compiled 480 to 344 computations (28.3% saved)

end49.0ms (0.4%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 153 to 119 computations (22.2% saved)