Details

analyze814.0ms (6.4%)

Algorithm

1×

Search

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

sample3.3s (26%)

Results

3.2s	8256×	body	256	valid
46.0ms	162×	body	256	invalid

preprocess50.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

880×	`fma-neg_binary32`
856×	`exp-diff_binary32`
346×	`cancel-sign-sub-inv_binary32`
317×	`distribute-neg-in_binary32`
278×	`associate-+l-_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	385
1	327	363
2	978	341
3	4387	330
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
0
2
3
2
4

Call 2

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

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary32`
512×	`exp-sum_binary32`
492×	`fma-neg_binary32`
435×	`sub-neg_binary32`
429×	`exp-diff_binary32`

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.1b

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

▶

0.1b

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

Compiler

Compiled 55 to 39 computations (29.1% saved)

localize98.0ms (0.8%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
	0.0b	(+.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))))
	0.0b	(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v))
	0.0b	(*.f32 cosTheta_i cosTheta_O)
✓	0.1b	(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)
✓	0.1b	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
✓	6.9b	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	7.1b	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Compiler

Compiled 138 to 57 computations (58.7% saved)

series34.0ms (0.3%)

Counts

4 → 120

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	cosTheta_i	@	0	(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)))))
3.0ms	v	@	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
1.0ms	v	@	-inf	(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)))))
1.0ms	sinTheta_i	@	0	(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)))))
1.0ms	cosTheta_i	@	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

rewrite190.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

453×	`log1p-udef_binary32`
261×	`add-sqr-sqrt_binary32`
253×	`*-un-lft-identity_binary32`
253×	`pow1_binary32`
244×	`add-log-exp_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	66
1	506	60
2	7906	60

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 sinTheta_i (/.f32 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 (sqrt.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (sqrt.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (#(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 sinTheta_i sinTheta_O)) (.f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) (/.f32 -1 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_i 1) (/.f32 sinTheta_O v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_O 1) (/.f32 sinTheta_i v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_i v) sinTheta_O)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) 2) 1) (/.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) 1) (/.f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 sinTheta_O (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 sinTheta_O (pow.f32 (cbrt.f32 v) 2)) (/.f32 sinTheta_i (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (.f32 sinTheta_i sinTheta_O) (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (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 sinTheta_i sinTheta_O)) (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 sinTheta_i sinTheta_O) (cbrt.f32 (pow.f32 v -2))) (cbrt.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 sinTheta_i sinTheta_O) (pow.f32 v -1/2)) (pow.f32 v -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 cosTheta_i (/.f32 1 (/.f32 v cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 cosTheta_i (.f32 cosTheta_O (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 cosTheta_O (.f32 cosTheta_i (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (/.f32 cosTheta_i v) cosTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 v) (.f32 cosTheta_i cosTheta_O))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (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 (cbrt.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (pow.f32 (cbrt.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)) 2) (cbrt.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (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 (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 (/.f32 cosTheta_i v) cosTheta_O)) (sqrt.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)))))) (#(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 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 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 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) 2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (pow.f32 (cbrt.f32 v) 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cosTheta_i v) cosTheta_O)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) 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 v) cosTheta_O) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v)) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000)) (/.f32 1/2 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000)))) (pow.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000)))) 2) (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (+.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) -6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (+.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O) (/.f32 1 v)) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v) (+.f32 (/.f32 1 v) -6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 2) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) -6931/10000)) (/.f32 48038761/100000000 (+.f32 (/.f32 (-.f32 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6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 2) -48038761/100000000) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) -6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 3))) (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 2) (-.f32 48038761/100000000 (.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 2) -48038761/100000000)) (neg.f32 (+.f32 (/.f32 (-.f32 (fma.f32 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simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

931×	`associate-/l*_binary32`
685×	`associate-l_binary32`
590×	`associate-/r*_binary32`
354×	`fma-def_binary32`
260×	`associate-*r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	4596
1	445	4461
2	1643	3550

Stop Event

1×	node limit

Counts

279 → 209

Calls

Call 1

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

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

localize100.0ms (0.8%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 90 to 42 computations (53.3% saved)

series42.0ms (0.3%)

Counts

4 → 180

Calls

54 calls:

Time	Variable		Point	Expression
4.0ms	cosTheta_i	@	-inf	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)
3.0ms	v	@	-inf	(*.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))
3.0ms	cosTheta_i	@	inf	(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
2.0ms	sinTheta_i	@	0	(*.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))
1.0ms	cosTheta_O	@	0	(*.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`prod-diff_binary32`
337×	`expm1-udef_binary32`
337×	`log1p-udef_binary32`
294×	`fma-def_binary32`
282×	`log-pow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

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

simplify128.0ms (1%)

Algorithm

1×	egg-herbie

Rules

864×	`associate-/r*_binary32`
741×	`associate-l_binary32`
587×	`fma-def_binary32`
450×	`associate-*r/_binary32`
407×	`associate-/r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	5800
1	602	5291
2	2258	4778

Stop Event

1×	node limit

Counts

376 → 276

Calls

Call 1

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

eval338.0ms (2.7%)

Compiler: Compiled 15885 to 9029 computations (43.2% saved)

prune99.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	472	13	485
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	474	13	487

Error

0.0b

Counts

487 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.3b	(.f32 (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 1/2 v))
	30.5b	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
	0.1b	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
▶	30.5b	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	0.1b	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))
	0.1b	(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
▶	0.1b	(pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
▶	0.1b	(*.f32 (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))
	0.1b	(.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v)) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
▶	0.1b	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
	0.3b	(pow.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000))) 3) 1/3)
	2.2b	(*.f32 (/.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))
	29.3b	(.f32 (exp.f32 (.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)))) (/.f32 1/2 v))

Compiler

Compiled 586 to 440 computations (24.9% saved)

localize88.0ms (0.7%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 98 to 46 computations (53.1% saved)

series99.0ms (0.8%)

Counts

4 → 180

Calls

45 calls:

Time	Variable		Point	Expression
31.0ms	v	@	0	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
12.0ms	cosTheta_i	@	0	(+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
12.0ms	v	@	-inf	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
5.0ms	v	@	inf	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
4.0ms	sinTheta_O	@	0	(+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`fma-def_binary32`
438×	`fma-neg_binary32`
366×	`expm1-udef_binary32`
366×	`log1p-udef_binary32`
225×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	75
1	447	67
2	6117	63

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

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

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

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

779×	`associate-l_binary32`
617×	`associate-/r*_binary32`
385×	`fma-def_binary32`
285×	`associate-*r/_binary32`
285×	`associate-*l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	5519
1	500	5151
2	1980	4683

Stop Event

1×	node limit

Counts

360 → 242

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 17 computations (15% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite40.0ms (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 exp.f32 (-.f32 6931/10000 (log.f32 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 expm1.f32 (log1p.f32 (/.f32 (exp.f32 6931/10000) v)))))))

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

30 → 30

Calls

Call 1

Inputs

Outputs

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.1b	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
	0.1b	(.f32 (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 1/2 v))
✓	0.1b	(.f32 (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 1/2 v))
	7.1b	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Compiler

Compiled 48 to 22 computations (54.2% saved)

series9.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite46.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log-prod_binary32`
355×	`pow-prod-down_binary32`
325×	`pow-unpow_binary32`
289×	`pow2_binary32`
206×	`pow1/3_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	248	15
2	3218	4

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/r/_binary32`
656×	`associate-/l/_binary32`
641×	`fma-def_binary32`
464×	`distribute-lft-out_binary32`
353×	`*-commutative_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	804
1	119	796
2	365	748
3	2236	748
4	5762	708
5	6872	708

Stop Event

1×	node limit

Counts

68 → 40

Calls

Call 1

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

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

localize56.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 53 to 36 computations (32.1% saved)

series56.0ms (0.4%)

Counts

4 → 100

Calls

30 calls:

Time	Variable		Point	Expression
23.0ms	cosTheta_O	@	-inf	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
15.0ms	cosTheta_i	@	inf	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
3.0ms	cosTheta_i	@	-inf	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
1.0ms	cosTheta_i	@	0	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
1.0ms	cosTheta_O	@	inf	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))

rewrite193.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`log-prod_binary32`
412×	`pow-prod-down_binary32`
356×	`pow2_binary32`
253×	`pow1/3_binary32`
247×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	282	48
2	3406	48

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

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

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

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

770×	`associate-/l*_binary32`
571×	`associate-r_binary32`
557×	`distribute-rgt-in_binary32`
552×	`distribute-lft-in_binary32`
492×	`associate-/r*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	2020
1	306	2004
2	1144	1936
3	6171	1830

Stop Event

1×	node limit

Counts

251 → 188

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

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

localize104.0ms (0.8%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 93 to 43 computations (53.8% saved)

series44.0ms (0.3%)

Counts

2 → 120

Calls

30 calls:

Time	Variable		Point	Expression
28.0ms	v	@	inf	(*.f32 (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))
1.0ms	cosTheta_O	@	0	(pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
1.0ms	sinTheta_O	@	-inf	(*.f32 (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))
1.0ms	cosTheta_O	@	-inf	(*.f32 (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))
1.0ms	cosTheta_i	@	-inf	(*.f32 (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`prod-diff_binary32`
354×	`expm1-udef_binary32`
354×	`log1p-udef_binary32`
298×	`fma-def_binary32`
205×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	52
1	412	52
2	5338	52

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify183.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

849×	`associate-/r*_binary32`
738×	`associate-l_binary32`
567×	`fma-def_binary32`
449×	`associate-*r/_binary32`
406×	`associate-/r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	5048
1	560	4789
2	2164	4720

Stop Event

1×	node limit

Counts

174 → 114

Calls

Call 1

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

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

eval663.0ms (5.2%)

Compiler: Compiled 22702 to 13955 computations (38.5% saved)

prune192.0ms (1.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	802	15	817
Fresh	5	3	8
Picked	1	0	1
Done	4	0	4
Total	812	18	830

Error

0.0b

Counts

830 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 v)))
▶	0.1b	(.f32 (pow.f32 (E.f32) (.f32 3 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) (/.f32 1/2 v))
	0.1b	(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
▶	0.1b	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 -1 v)))
	0.1b	(pow.f32 (E.f32) (*.f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i sinTheta_O -1)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (pow.f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i sinTheta_O -1)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2)))
▶	30.5b	(/.f32 1/2 v)
	0.1b	(.f32 (pow.f32 (.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)) 3) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
	0.1b	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (pow.f32 (pow.f32 (exp.f32 1) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 2)))
	31.0b	(sqrt.f32 (/.f32 1/4 (*.f32 v v)))
	2.2b	(/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) 1/2) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) v))
	0.3b	(cbrt.f32 (exp.f32 (*.f32 3 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	0.1b	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
▶	0.1b	(pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
	0.1b	(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
	30.9b	(+.f32 (/.f32 1/2 v) (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2)))
	0.3b	(pow.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000))) 3) 1/3)
	0.1b	(*.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
	0.1b	(.f32 (pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))

Compiler

Compiled 864 to 662 computations (23.4% saved)

localize88.0ms (0.7%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 70 to 44 computations (37.1% saved)

series29.0ms (0.2%)

Counts

3 → 96

Calls

27 calls:

Time	Variable		Point	Expression
16.0ms	v	@	inf	(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
1.0ms	cosTheta_i	@	0	(pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
1.0ms	v	@	-inf	(pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
1.0ms	v	@	inf	(pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
1.0ms	cosTheta_O	@	0	(pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))

rewrite165.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`fma-def_binary32`
453×	`fma-neg_binary32`
308×	`expm1-udef_binary32`
308×	`log1p-udef_binary32`
254×	`log-pow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	366	46
2	5061	46

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 2) (-.f32 (-.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f32 (/.f32 1/2 v)))) (/.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (-.f32 (-.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/10000) (log.f32 (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 6931/10000) (log1p.f32 -1/2)) (log.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (log.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) 2) (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (sqrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (log.f32 (pow.f32 (E.f32) (sqrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 3 (*.f32 1/3 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) 3) (pow.f32 (+.f32 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simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

995×	`times-frac_binary32`
600×	`associate-/l*_binary32`
473×	`associate-r_binary32`
406×	`associate-l_binary32`
377×	`associate-/r*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	2490
1	290	2183
2	1065	2046
3	7702	2041

Stop Event

1×	node limit

Counts

287 → 234

Calls

Call 1

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

localize36.0ms (0.3%)

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

localize47.0ms (0.4%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

series4.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`log-prod_binary32`
380×	`exp-prod_binary32`
311×	`pow-prod-down_binary32`
291×	`prod-exp_binary32`
270×	`pow2_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	223	23
2	2605	21

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

796×	`fma-def_binary32`
741×	`fma-neg_binary32`
570×	`associate-/r/_binary32`
471×	`associate-l_binary32`
315×	`associate-r_binary32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	45	374
1	114	374
2	282	338
3	769	320
4	2692	320
5	6243	316

Stop Event

1×	node limit

Counts

97 → 94

Calls

Call 1

Inputs
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 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))))))

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

localize118.0ms (0.9%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 60 to 43 computations (28.3% saved)

series109.0ms (0.9%)

Counts

3 → 80

Calls

24 calls:

Time	Variable		Point	Expression
30.0ms	cosTheta_O	@	-inf	(pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 v))
23.0ms	cosTheta_O	@	inf	(pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 v))
23.0ms	cosTheta_i	@	-inf	(pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 v))
15.0ms	cosTheta_i	@	inf	(pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 v))
3.0ms	v	@	inf	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 v)))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`log-prod_binary32`
387×	`pow2_binary32`
340×	`pow-unpow_binary32`
273×	`pow-pow_binary32`
271×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	319	38
2	3708	38

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

Inputs

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

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

(exp.f32 (fma.f32 cosTheta_i cosTheta_O -1))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1))) (cbrt.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) 2)) (cbrt.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1))) (sqrt.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (*.f32 cosTheta_i cosTheta_O)) (exp.f32 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (E.f32) -1) (pow.f32 (E.f32) (*.f32 cosTheta_i cosTheta_O)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (E.f32) (*.f32 cosTheta_i cosTheta_O)) (pow.f32 (E.f32) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (E.f32) (*.f32 1/2 (fma.f32 cosTheta_i cosTheta_O -1))) (pow.f32 (E.f32) (*.f32 1/2 (fma.f32 cosTheta_i cosTheta_O -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (E.f32) (*.f32 2 (*.f32 1/3 (fma.f32 cosTheta_i cosTheta_O -1)))) (pow.f32 (E.f32) 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pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (*.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1))) (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1))) (*.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (E.f32) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1))) (cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (E.f32) (cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)))))) (#(struct:change #<rule egg-rr> 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-1)))) (cbrt.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)))) (sqrt.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1))) 1) (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1))) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1))) (cbrt.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O -1))) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2)))) (sqrt.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 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simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

950×	`fma-def_binary32`
761×	`times-frac_binary32`
576×	`associate-/l*_binary32`
479×	`distribute-rgt-in_binary32`
474×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2321
1	576	2140
2	2251	1924

Stop Event

1×	node limit

Counts

168 → 135

Calls

Call 1

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

localize163.0ms (1.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(pow.f32 (E.f32) (.f32 3 (.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))
	0.1b	(-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))
	0.0b	(.f32 (pow.f32 (E.f32) (.f32 3 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) (/.f32 1/2 v))
	0.0b	(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))
✓	0.1b	(pow.f32 (E.f32) (.f32 3 (.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))
	0.1b	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)
✓	0.3b	(.f32 3 (.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
✓	0.4b	(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))

Compiler

Compiled 139 to 71 computations (48.9% saved)

series20.0ms (0.2%)

Counts

3 → 180

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	sinTheta_O	@	inf	(.f32 3 (.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
1.0ms	cosTheta_O	@	0	(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
1.0ms	sinTheta_i	@	0	(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
1.0ms	cosTheta_O	@	-inf	(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
1.0ms	cosTheta_O	@	inf	(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))

rewrite109.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`prod-diff_binary32`
343×	`fma-def_binary32`
341×	`expm1-udef_binary32`
341×	`log1p-udef_binary32`
292×	`log-pow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	68
1	428	68
2	5098	68

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

Inputs

(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))

(*.f32 3 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))

(pow.f32 (E.f32) (*.f32 3 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) 1/3) (*.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/3 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (*.f32 1/3 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) 3) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) 3)) 1/3) (fma.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) 2) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) 2)) 1/3) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/3 (-.f32 (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) 3) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) 3))) (fma.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/3 (-.f32 (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) 2) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) 2))) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.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) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (cbrt.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/3 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (*.f32 1/3 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) 1/3 (*.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (*.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (fma.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 1 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (fma.f32 (neg.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 2) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (+.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (fma.f32 -1 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 2)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 6931/10000 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 1/2) (*.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) 3) (fma.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) 2))) (/.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) 3) (fma.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) 2) (+.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 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) 2) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (/.f32 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) 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simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

828×	`associate-/l*_binary32`
668×	`associate-r_binary32`
581×	`associate-l_binary32`
459×	`associate-/r*_binary32`
324×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	5035
1	440	4546
2	1544	3922

Stop Event

1×	node limit

Counts

361 → 246

Calls

Call 1

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

Outputs
(.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(*.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(*.f32 1/3 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(+.f32 6931/30000 (*.f32 -1/3 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(+.f32 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/3 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(*.f32 1/3 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(fma.f32 1/3 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/30000)
(+.f32 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/3 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(*.f32 1/3 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(fma.f32 1/3 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/30000)
(+.f32 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/3 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(*.f32 1/3 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(fma.f32 1/3 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/30000)
(.f32 1/3 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 1/3 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 (/.f32 (.f32 cosTheta_i 1/3) v) cosTheta_O)
(+.f32 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/3 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(*.f32 1/3 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(fma.f32 1/3 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/30000)
(+.f32 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/3 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(*.f32 1/3 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(fma.f32 1/3 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/30000)
(+.f32 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/3 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(*.f32 1/3 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(fma.f32 1/3 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/30000)
(.f32 1/3 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 1/3 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 (/.f32 (.f32 cosTheta_i 1/3) v) cosTheta_O)
(+.f32 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/3 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(*.f32 1/3 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(fma.f32 1/3 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/30000)
(+.f32 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/3 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(*.f32 1/3 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
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(+.f32 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/3 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(*.f32 1/3 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(fma.f32 1/3 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/30000)
(.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(*.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(*.f32 1/3 (-.f32 6931/10000 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(+.f32 6931/30000 (*.f32 -1/3 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(+.f32 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/3 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(*.f32 1/3 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(fma.f32 1/3 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v) 6931/30000)
(+.f32 (.f32 1/3 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 1/3 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(*.f32 1/3 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
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(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O 1)) v)))

eval766.0ms (6%)

Compiler: Compiled 23059 to 14993 computations (35% saved)

prune190.0ms (1.5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	820	13	833
Fresh	11	2	13
Picked	1	0	1
Done	2	2	4
Total	834	17	851

Error

Counts

851 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(pow.f32 (cbrt.f32 (*.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (/.f32 1/2 v))) 3)
▶	30.9b	(+.f32 (/.f32 1/2 v) (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2)))
	0.1b	(pow.f32 (E.f32) (*.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) 2)))
	0.3b	(pow.f32 (pow.f32 (*.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (/.f32 1/2 v)) 3) 1/3)
	0.1b	(.f32 (pow.f32 (E.f32) (.f32 3 (.f32 1/3 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (/.f32 1/2 v))
▶	0.1b	(pow.f32 (E.f32) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
	0.1b	(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
✓	0.1b	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 -1 v)))
▶	0.1b	(.f32 (pow.f32 (.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)) 3) (exp.f32 (/.f32 -1 v)))
▶	0.1b	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (pow.f32 (exp.f32 -1) (/.f32 1 v)))
▶	0.1b	(exp.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2)))))
	0.1b	(.f32 (/.f32 (/.f32 (.f32 (exp.f32 6931/10000) 1/2) (sqrt.f32 v)) (sqrt.f32 v)) (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 v)))
	0.1b	(.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 1/2 v))
	0.1b	(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))))))
✓	30.5b	(/.f32 1/2 v)
	0.1b	(.f32 (/.f32 (.f32 (exp.f32 6931/10000) 1/2) v) (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 v)))
	31.0b	(sqrt.f32 (/.f32 1/4 (*.f32 v v)))

Compiler

Compiled 668 to 553 computations (17.2% saved)

localize98.0ms (0.8%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 50 to 39 computations (22% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`prod-diff_binary32`
545×	`log-prod_binary32`
313×	`fma-def_binary32`
231×	`expm1-udef_binary32`
231×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	276	44
2	3655	44

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-def_binary32`
715×	`associate-*l/_binary32`
699×	`associate-/r*_binary32`
473×	`associate-/l/_binary32`
442×	`associate-*r/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	811
1	175	701
2	507	595
3	2129	569

Stop Event

1×	node limit

Counts

184 → 180

Calls

Call 1

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

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

localize80.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f32 (*.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O))
	0.1b	(.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2))
	0.1b	(+.f32 (/.f32 1/2 v) (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2)))
	0.0b	(+.f32 (/.f32 (*.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2)
✓	0.1b	(.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2))
✓	0.2b	(/.f32 (*.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O))
✓	4.3b	(.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)))
✓	4.8b	(/.f32 sinTheta_i (*.f32 v v))

Compiler

Compiled 89 to 39 computations (56.2% saved)

series33.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
8.0ms	sinTheta_O	@	-inf	(.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2))
3.0ms	sinTheta_O	@	inf	(.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)))
1.0ms	sinTheta_i	@	0	(.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2))
1.0ms	sinTheta_i	@	-inf	(.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2))
1.0ms	sinTheta_O	@	0	(.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2))

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`prod-diff_binary32`
314×	`log-div_binary32`
287×	`expm1-udef_binary32`
287×	`log1p-udef_binary32`
237×	`fma-def_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	324	50
2	4917	50

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

Inputs
(/.f32 sinTheta_i (*.f32 v v))
(.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)))
(/.f32 (*.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O))
(.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2))

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

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

729×	`unswap-sqr_binary32`
608×	`fma-def_binary32`
607×	`associate-/r*_binary32`
507×	`associate-r_binary32`
475×	`associate-l_binary32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	1899
1	59	1899
2	183	1899
3	963	1872
4	5470	1710
5	7598	1656

Stop Event

1×	node limit

Counts

314 → 194

Calls

Call 1

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

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

localize52.0ms (0.4%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

series113.0ms (0.9%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
71.0ms	v	@	inf	(exp.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2)))))
12.0ms	v	@	0	(-.f32 6931/10000 (log.f32 (*.f32 v 2)))
10.0ms	v	@	inf	(-.f32 6931/10000 (log.f32 (*.f32 v 2)))
10.0ms	v	@	-inf	(-.f32 6931/10000 (log.f32 (*.f32 v 2)))
3.0ms	v	@	-inf	(+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2))))

rewrite125.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`prod-diff_binary32`
516×	`log-prod_binary32`
322×	`fma-def_binary32`
305×	`pow2_binary32`
211×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	241	39
2	3224	39

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

813×	`times-frac_binary32`
503×	`associate-/l*_binary32`
488×	`fma-def_binary32`
439×	`associate-/r*_binary32`
364×	`associate-/l/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	886
1	179	731
2	481	628
3	1636	569

Stop Event

1×	node limit

Counts

181 → 174

Calls

Call 1

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

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

localize58.0ms (0.5%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 45 to 38 computations (15.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

539×	`log-prod_binary32`
354×	`pow-prod-down_binary32`
306×	`pow-unpow_binary32`
304×	`pow2_binary32`
213×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	260	23
2	2986	23

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

simplify137.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

796×	`fma-def_binary32`
741×	`fma-neg_binary32`
567×	`associate-/r/_binary32`
462×	`associate-l_binary32`
320×	`associate-r_binary32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	45	398
1	114	398
2	282	362
3	769	344
4	2695	344
5	6228	340

Stop Event

1×	node limit

Counts

77 → 70

Calls

Call 1

Inputs
(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 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))))))

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

localize91.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))
	0.2b	(cbrt.f32 (/.f32 1/2 v))
	0.1b	(exp.f32 (/.f32 -1 v))
	0.0b	(.f32 (pow.f32 (.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)) 3) (exp.f32 (/.f32 -1 v)))
	0.1b	(exp.f32 (/.f32 -1 v))
✓	0.2b	(cbrt.f32 (/.f32 1/2 v))
✓	0.5b	(*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))
✓	0.7b	(pow.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)) 3)

Compiler

Compiled 56 to 47 computations (16.1% saved)

series10.0ms (0.1%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(pow.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)) 3)
2.0ms	v	@	-inf	(pow.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)) 3)
1.0ms	v	@	inf	(pow.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)) 3)
1.0ms	v	@	-inf	(*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))
1.0ms	v	@	-inf	(cbrt.f32 (/.f32 1/2 v))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`pow1_binary32`
840×	`add-log-exp_binary32`
839×	`log1p-expm1-u_binary32`
839×	`expm1-log1p-u_binary32`
820×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	215	26
2	2371	26

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs
(pow.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)) 3)
(*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))
(cbrt.f32 (/.f32 1/2 v))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 1/2 v)) (*.f32 (exp.f32 6931/30000) (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 6931/30000) (*.f32 (cbrt.f32 (/.f32 1/2 v)) (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)) (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000)) (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000))) (*.f32 (cbrt.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))) (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))) (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))) (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))) (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000))) 3) (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))) 3) (pow.f32 (sqrt.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000)) (cbrt.f32 (/.f32 1/2 v))) (exp.f32 6931/30000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000)) (exp.f32 6931/30000)) (cbrt.f32 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000)) 1) (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000)) (cbrt.f32 (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000)))) (cbrt.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000)) (sqrt.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)))) (sqrt.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.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 exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 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 expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 1/2) (exp.f32 6931/30000)) (cbrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (exp.f32 6931/30000) (cbrt.f32 1/2)) (cbrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (exp.f32 6931/15000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cbrt.f32 (/.f32 1/2 v))) (exp.f32 6931/30000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 6931/30000 (log.f32 (cbrt.f32 (/.f32 1/2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (cbrt.f32 (/.f32 1/2 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 1/2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cbrt.f32 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (/.f32 1/2 v))) (cbrt.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (cbrt.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 1/2) (cbrt.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 1/2) (pow.f32 (/.f32 1 v) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 1/2) (/.f32 1 (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 1/2 v) 1/6) (pow.f32 (/.f32 1/2 v) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/3) (cbrt.f32 (/.f32 1/2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) 1/3) (cbrt.f32 (cbrt.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (/.f32 1/2 v)) 1/3) (pow.f32 (sqrt.f32 (/.f32 1/2 v)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (cbrt.f32 (*.f32 v 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (cbrt.f32 v) (cbrt.f32 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 1/2) (cbrt.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 -1/2) (cbrt.f32 (neg.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (cbrt.f32 1/2)) (neg.f32 (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1/2 v) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 1/2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 1/2 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 1/2 v) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cbrt.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cbrt.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cbrt.f32 (/.f32 1/2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cbrt.f32 (/.f32 1/2 v))))))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

64 → 64

Calls

Call 1

Inputs

Outputs

eval553.0ms (4.4%)

Compiler: Compiled 16436 to 11425 computations (30.5% saved)

prune233.0ms (1.8%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	755	11	766
Fresh	7	3	10
Picked	0	1	1
Done	2	4	6
Total	764	19	783

Error

Counts

783 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 1/2 v))
	30.6b	(+.f32 (/.f32 1/2 v) (.f32 (/.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) v) (+.f32 (/.f32 (*.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2)))
	0.1b	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (pow.f32 (exp.f32 -1) (/.f32 1 v)))
	0.7b	(exp.f32 (/.f32 -1 v))
	0.1b	(*.f32 (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (exp.f32 (/.f32 -1 v)))
✓	0.1b	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 -1 v)))
✓	0.1b	(.f32 (pow.f32 (.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)) 3) (exp.f32 (/.f32 -1 v)))
	30.9b	(+.f32 (/.f32 1/2 v) (.f32 (/.f32 sinTheta_i (.f32 v v)) (*.f32 sinTheta_O -1/2)))
✓	0.1b	(exp.f32 (+.f32 (/.f32 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2)))))
	0.1b	(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (+.f32 v v))) 3)
	0.1b	(/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (+.f32 v v))
	0.1b	(.f32 (/.f32 (/.f32 (.f32 (exp.f32 6931/10000) 1/2) (sqrt.f32 v)) (sqrt.f32 v)) (pow.f32 (exp.f32 -1) (/.f32 1 v)))
	0.1b	(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))))))
	0.1b	(.f32 (pow.f32 (E.f32) (.f32 3 (.f32 1/3 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))))) (/.f32 1/2 v))
✓	0.1b	(pow.f32 (E.f32) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
✓	30.5b	(/.f32 1/2 v)
	0.1b	(pow.f32 (E.f32) (*.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)))))
	0.1b	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (*.f32 (pow.f32 (exp.f32 -2/3) (/.f32 1 v)) (pow.f32 (exp.f32 -1/3) (/.f32 1 v))))
	0.3b	(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (+.f32 v v)) 3) 1/3)

Compiler

Compiled 375 to 314 computations (16.3% saved)

regimes229.0ms (1.8%)

Counts

54 → 1

Calls

Call 1

Inputs
(/.f32 1/2 v)
(+.f32 (/.f32 1/2 v) (.f32 (/.f32 sinTheta_i (.f32 v v)) (*.f32 sinTheta_O -1/2)))
(+.f32 (/.f32 1/2 v) (.f32 (/.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) v) (+.f32 (/.f32 (*.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2)))
(+.f32 (/.f32 1/2 v) (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2)))
(exp.f32 (/.f32 -1 v))
(sqrt.f32 (/.f32 1/4 (*.f32 v v)))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (+.f32 v v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(.f32 (exp.f32 (.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)))) (/.f32 1/2 v))
(.f32 (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 1/2 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 -1 v) (-.f32 6931/10000 (log.f32 (*.f32 v 2)))))
(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 -1 v)))
(.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 1/2 v))
(.f32 (pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
(.f32 (pow.f32 (E.f32) (.f32 3 (.f32 1/3 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.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)))))
(pow.f32 (E.f32) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (pow.f32 (exp.f32 -1) (/.f32 1 v)))
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (+.f32 v v))) 3)
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (/.f32 1/2 v))) 3)
(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (pow.f32 (exp.f32 -1) (/.f32 1 v)))
(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (+.f32 v v)) 3) 1/3)
(pow.f32 (pow.f32 (*.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (/.f32 1/2 v)) 3) 1/3)
(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))
(*.f32 (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (exp.f32 (/.f32 -1 v)))
(.f32 (pow.f32 (.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)) 3) (exp.f32 (/.f32 -1 v)))
(*.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(.f32 (/.f32 (.f32 (exp.f32 6931/10000) 1/2) v) (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 v)))
(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 v)))
(cbrt.f32 (exp.f32 (*.f32 3 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v)) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) 1/2) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) v))
(*.f32 (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 1/2 v))
(pow.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) 6931/10000))) 3) 1/3)
(.f32 (pow.f32 (E.f32) (.f32 3 (*.f32 1/3 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) (/.f32 1/2 v))
(.f32 (/.f32 (/.f32 (.f32 (exp.f32 6931/10000) 1/2) (sqrt.f32 v)) (sqrt.f32 v)) (pow.f32 (exp.f32 -1) (/.f32 1 v)))
(.f32 (pow.f32 (.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 6931/30000)) 3) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))
(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (*.f32 (pow.f32 (exp.f32 -2/3) (/.f32 1 v)) (pow.f32 (exp.f32 -1/3) (/.f32 1 v))))
(.f32 (/.f32 (/.f32 (.f32 (exp.f32 6931/10000) 1/2) (sqrt.f32 v)) (sqrt.f32 v)) (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O -1)) (/.f32 1 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 (E.f32) (*.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)))))
(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (pow.f32 (pow.f32 (exp.f32 1) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 2)))
(pow.f32 (E.f32) (*.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)))) 2)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(pow.f32 (E.f32) (*.f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i sinTheta_O -1)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (pow.f32 (cbrt.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i sinTheta_O -1)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2)))

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

Calls

9 calls:

31.0ms	cosTheta_O
29.0ms	sinTheta_O
27.0ms	cosTheta_i
26.0ms	sinTheta_i
22.0ms	(+.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))))

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 1029 to 707 computations (31.3% saved)

regimes106.0ms (0.8%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

9 calls:

19.0ms	(+.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))))
12.0ms	cosTheta_O
11.0ms	sinTheta_O
11.0ms	sinTheta_i
11.0ms	cosTheta_i

Results

Error	Segments	Branch
0.1b	1	`cosTheta_i`
0.1b	1	`cosTheta_O`
0.1b	1	`sinTheta_i`
0.1b	1	`sinTheta_O`
0.1b	1	`v`
0.1b	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
0.1b	1	`(+.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 378 to 256 computations (32.3% saved)

regimes67.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	cosTheta_i
9.0ms	sinTheta_i
9.0ms	sinTheta_O
9.0ms	v
8.0ms	cosTheta_O

Results

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

Compiler

Compiled 222 to 158 computations (28.8% saved)

regimes36.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
0.7b	1	`cosTheta_i`
0.7b	1	`cosTheta_O`
0.7b	1	`sinTheta_i`
0.7b	1	`sinTheta_O`
0.7b	1	`v`

Compiler

Compiled 115 to 79 computations (31.3% saved)

regimes27.0ms (0.2%)

Accuracy

Total -0.5b remaining (-1.5%)

Threshold costs -0.5b (-1.5%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f32 1/2 v)
(+.f32 (/.f32 1/2 v) (.f32 (/.f32 sinTheta_i (.f32 v v)) (*.f32 sinTheta_O -1/2)))
(+.f32 (/.f32 1/2 v) (.f32 (/.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) v) (+.f32 (/.f32 (*.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2)))
(+.f32 (/.f32 1/2 v) (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i 1/4) (/.f32 v sinTheta_O)) -1/2)))

Outputs
(/.f32 1/2 v)

Calls

5 calls:

7.0ms	sinTheta_O
5.0ms	cosTheta_O
4.0ms	cosTheta_i
4.0ms	sinTheta_i
4.0ms	v

Results

Error	Segments	Branch
30.5b	1	`cosTheta_i`
30.5b	1	`cosTheta_O`
30.5b	1	`sinTheta_i`
30.5b	1	`sinTheta_O`
30.5b	1	`v`

Compiler

Compiled 93 to 63 computations (32.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	70
1	38	70
2	45	70
3	59	70
4	74	70
5	82	70
6	87	70
7	89	70

Stop Event

1×

saturated

Calls

Call 1

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

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

end46.0ms (0.4%)

Stop Event

1×

fuel

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 190 to 157 computations (17.4% saved)