Metrics for HairBSDF, Mp, lower

analyze2.4s (4.6%)

Algorithm

1×

Search

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 378.0ms (29% of total)

ival-<=: 357.0ms (27.4% of total)

ival-div: 118.0ms (9.1% of total)

ival-sub: 113.0ms (8.7% of total)

ival-exp: 101.0ms (7.7% of total)

ival-and: 86.0ms (6.6% of total)

ival-log: 60.0ms (4.6% of total)

ival-add: 54.0ms (4.1% of total)

const: 23.0ms (1.8% of total)

backward-pass: 13.0ms (1% of total)

sample11.5s (22.5%)

Results

8.7s	8256×	0	valid
70.0ms	138×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 7.3s

ival-<=: 2.3s (31% of total)

ival-add: 1.3s (18.3% of total)

ival-mult: 1.2s (16.2% of total)

ival-div: 1.0s (14.1% of total)

ival-log: 543.0ms (7.4% of total)

ival-sub: 312.0ms (4.3% of total)

ival-exp: 245.0ms (3.3% of total)

ival-and: 186.0ms (2.5% of total)

const: 182.0ms (2.5% of total)

backward-pass: 22.0ms (0.3% of total)

Bogosity

preprocess349.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1590×	`exp-diff`
1500×	`times-frac`
914×	`fma-neg`
660×	`fma-define`
552×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2130
1	485	1898
2	1448	1854
3	5747	1854

Stop Event

1×	node limit

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 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_O cosTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 v cosTheta_O) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 (.f32 cosTheta_O sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 #s(literal 1 binary32) cosTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_O)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (.f32 v sinTheta_O) sinTheta_i)) (/.f32 #s(literal 1 binary32) sinTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (.f32 sinTheta_i v) sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_O)))))

Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v))))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v)))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 v))))))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal -1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal -1/2 binary32) v))
(.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v)))))))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal -1/2 binary32) v))
(.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v)))))))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal -1/2 binary32) v))
(.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))))))
(.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal -1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal -1/2 binary32) v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))))))
(.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal -1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal -1/2 binary32) v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v)))))))
(neg.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v)))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 v)))))))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 #s(literal -1/2 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 sinTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 cosTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 sinTheta_i v))) (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_i v)) (+.f32 (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_i v)) (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_O cosTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_O v)) (-.f32 (fma.f32 cosTheta_i (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_O v)) (fma.f32 cosTheta_i (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 v cosTheta_O) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_i)))))
(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_O v) cosTheta_i) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_i)) (/.f32 #s(literal 1 binary32) cosTheta_i))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) cosTheta_i)))))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) cosTheta_i))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 v (/.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_i))))) (/.f32 #s(literal 1/2 binary32) cosTheta_i))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal -6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) cosTheta_i))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 (.f32 cosTheta_O sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 sinTheta_i (/.f32 cosTheta_i v)) (+.f32 (.f32 cosTheta_O (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 sinTheta_i v)) (-.f32 (fma.f32 sinTheta_O (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 sinTheta_i v)) (fma.f32 sinTheta_O (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 sinTheta_i v) (fma.f32 cosTheta_O (/.f32 sinTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 sinTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 sinTheta_O v)) (fma.f32 sinTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (fma.f32 sinTheta_i (/.f32 (neg.f32 cosTheta_O) v) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (fma.f32 (neg.f32 sinTheta_i) (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 #s(literal 1 binary32) cosTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_O)))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_O)) (/.f32 #s(literal 1 binary32) cosTheta_O))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) cosTheta_O)))))
(.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 v cosTheta_O))) (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O)))) (/.f32 #s(literal 1/2 binary32) cosTheta_O))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))))) (/.f32 #s(literal 1/2 binary32) cosTheta_O))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))))) (/.f32 #s(literal 1/2 binary32) cosTheta_O))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (.f32 v sinTheta_O) sinTheta_i)) (/.f32 #s(literal 1 binary32) sinTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_i)))))
(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (+.f32 (/.f32 (.f32 v sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_i))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_i)))))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i)) (-.f32 (fma.f32 v (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_i)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) sinTheta_i))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i) (fma.f32 v (/.f32 sinTheta_O (neg.f32 sinTheta_i)) (/.f32 #s(literal -1 binary32) sinTheta_i))))) (/.f32 #s(literal 1/2 binary32) sinTheta_i))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i)) (fma.f32 v (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_i))))) (/.f32 #s(literal 1/2 binary32) sinTheta_i))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (.f32 sinTheta_i v) sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_O)))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (+.f32 (.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O)))))
(.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O))) (fma.f32 sinTheta_i (/.f32 v sinTheta_O) (/.f32 #s(literal 1 binary32) sinTheta_O)))) (/.f32 #s(literal 1/2 binary32) sinTheta_O))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (fma.f32 v (/.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 1 binary32) sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) sinTheta_O))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (fma.f32 v (/.f32 sinTheta_i sinTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) #s(literal -6931/10000 binary32))))) (/.f32 #s(literal 1/2 binary32) sinTheta_O))

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain1.4s (2.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
93	2	(-2.73810302787884e-29 8.921159062255742e-22 -2.398991581838486e-36 4.262086804374121e-6 5.325337497197324e-6)	35	(-2.3403786884861093e-35 3.4905554002762074e-9 -3.806479707304875e-17 -8.40918912487087e-36 8.736759613433796e-39)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
87	2	(-3.253038210416625e-21 -1.0189753483187736e-27 -9.484894362125706e-26 -9.664282724247281e-33 4.306784421280463e-13)	33	(5.435462741704589e-19 0.5180025100708008 2.6545078583910766e-22 4.1906611268464417e-20 0.0030484909657388926)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
1	7	(-0.00691228685900569 1.340205102451364e-7 -9.44043793825607e-29 -3.812025553549722e-34 0.006914970930665731)	1	(-2.842412286443996e-12 1.7046125765656225e-19 -1.9904599422500346e-36 3.2883082761212735e-38 0.026035550981760025)	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
1	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	0	-	0	-	`cosTheta_O`
0	0	-	0	-	`(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) v)`
0	0	-	0	-	`sinTheta_O`
0	0	-	0	-	`(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))`
0	0	-	0	-	`v`
0	0	-	0	-	`cosTheta_i`
0	0	-	0	-	`sinTheta_i`
0	0	-	0	-	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`

Results

748.0ms

512×

valid

Compiler

Compiled 308 to 138 computations (55.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 587.0ms

ival-div: 181.0ms (30.9% of total)

ival-add: 138.0ms (23.5% of total)

ival-mult: 76.0ms (13% of total)

ival-sub: 61.0ms (10.4% of total)

ival-log: 51.0ms (8.7% of total)

const: 41.0ms (7% of total)

ival-exp: 38.0ms (6.5% of total)

backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 91 to 53 computations (41.8% saved)

prune28.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))

Status

Accuracy

Program

▶

99.9%

(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize940.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	0	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	100.0%	(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.9%	(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
✓	accuracy	99.9%	(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
✓	accuracy	99.3%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))

Rules

1462×	`fma-neg`
1022×	`fma-define`
834×	`times-frac`
744×	`associate-/l/`
724×	`associate-/r*`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	28	405
1	50	405
2	98	399
3	256	393
4	808	393
5	2300	390
6	4158	362
7	6456	362

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)

Outputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)

Results

502.0ms

256×

valid

Compiler

Compiled 107 to 46 computations (57% saved)

Precisions

Click to see histograms. Total time spent on operations: 434.0ms

ival-div: 253.0ms (58.3% of total)

ival-exp: 104.0ms (24% of total)

ival-fma: 37.0ms (8.5% of total)

ival-sub: 25.0ms (5.8% of total)

ival-add: 6.0ms (1.4% of total)

ival-mult: 6.0ms (1.4% of total)

const: 4.0ms (0.9% of total)

backward-pass: 0.0ms (0% of total)

series362.0ms (0.7%)

Counts

7 → 252

Calls

Call 1

Inputs
#<alt (*.f32 cosTheta_i (/.f32 cosTheta_O v))>
#<alt (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))>
#<alt (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))>
#<alt (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
#<alt (/.f32 cosTheta_O v)>
#<alt (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))>

Outputs
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt #s(literal 6931/10000 binary32)>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt #s(literal 6931/10000 binary32)>
#<alt (+.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))>
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#<alt (.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))>
#<alt (.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))>
#<alt (.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))>

Calls

72 calls:

Time	Variable		Point	Expression
20.0ms	sinTheta_O	@	0	(exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000))
17.0ms	sinTheta_O	@	inf	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)
17.0ms	cosTheta_i	@	0	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)
15.0ms	v	@	0	(- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v)))
12.0ms	sinTheta_O	@	-inf	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)

rewrite1.4s (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1107×	`log1p-expm1-u`
986×	`expm1-log1p-u`
238×	`associate-r`
156×	`associate-l`
149×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	274
1	342	274
2	4609	274

Stop Event

1×	node limit

Counts

7 → 211

Calls

Call 1

Inputs
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1/2 binary32) v)
(/.f32 cosTheta_O v)
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))

Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))) #s(literal 1 binary32))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (log.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 1 binary32)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal -6931/10000 binary32))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 #s(literal 1 binary32) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)) #s(literal 1 binary32))
(.f32 (cbrt.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (pow.f32 (cbrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (sqrt.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (sqrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))))
(.f32 (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal -6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))) (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal -6931/10000 binary32)) (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32))))
(/.f32 (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))))
(/.f32 (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))))
(/.f32 (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal -6931/10000 binary32)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32))) (neg.f32 (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32))) (neg.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal -6931/10000 binary32))))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (+.f32 (.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) (.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)))) (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(log1p.f32 (expm1.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (log.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (.f32 (log.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 2 binary32)) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(fma.f32 (sqrt.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 6931/10000 binary32))
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(pow.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))
(pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1 binary32))
(neg.f32 (/.f32 #s(literal -1/2 binary32) v))
(sqrt.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 v #s(literal -2 binary32))))
(log.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1/2 binary32) v))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 cosTheta_O v) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))
(*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)
(*.f32 (cbrt.f32 (/.f32 cosTheta_O v)) (pow.f32 (cbrt.f32 (/.f32 cosTheta_O v)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 cosTheta_O v)))
(*.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) (/.f32 (cbrt.f32 cosTheta_O) v))
(.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) (.f32 (cbrt.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 cosTheta_O (sqrt.f32 v)))
(*.f32 (sqrt.f32 (/.f32 cosTheta_O v)) (sqrt.f32 (/.f32 cosTheta_O v)))
(*.f32 (sqrt.f32 cosTheta_O) (/.f32 (sqrt.f32 cosTheta_O) v))
(.f32 (sqrt.f32 cosTheta_O) (.f32 (sqrt.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 cosTheta_O (cbrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 cosTheta_O) v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 cosTheta_O v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 cosTheta_O) (sqrt.f32 v)))
(*.f32 (/.f32 (sqrt.f32 cosTheta_O) #s(literal 1 binary32)) (/.f32 (sqrt.f32 cosTheta_O) v))
(*.f32 (/.f32 (sqrt.f32 cosTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 cosTheta_O) (cbrt.f32 v)))
(.f32 (.f32 cosTheta_O (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(.f32 (.f32 cosTheta_O (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (/.f32 cosTheta_O v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 cosTheta_O v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v cosTheta_O) #s(literal -1 binary32))
(neg.f32 (/.f32 cosTheta_O (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 cosTheta_O) v))
(sqrt.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 cosTheta_O v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 cosTheta_O v))))
(cbrt.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 cosTheta_O v)))
(log1p.f32 (expm1.f32 (/.f32 cosTheta_O v)))
(exp.f32 (log.f32 (/.f32 cosTheta_O v)))
(exp.f32 (*.f32 (log.f32 (/.f32 cosTheta_O v)) #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v))
(+.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (+.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (pow.f32 v #s(literal -2 binary32))) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))

simplify1.2s (2.4%)

Algorithm

1×	egg-herbie

Rules

788×	`associate-r`
704×	`associate-l`
634×	`fma-define`
628×	`*-commutative`
438×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	728	27612
1	1944	22984
2	7089	22966

Stop Event

1×	node limit

Counts

463 → 416

Calls

Call 1

Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
#s(literal 6931/10000 binary32)
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
#s(literal 6931/10000 binary32)
(+.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 sinTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))
(.f32 sinTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))
(.f32 sinTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))
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(/.f32 (-.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (pow.f32 v #s(literal -2 binary32))) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))

Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 cosTheta_i v)))))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 cosTheta_i v)))))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 cosTheta_i v)))))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
(*.f32 cosTheta_i (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)) cosTheta_i) (/.f32 cosTheta_O v))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
(*.f32 cosTheta_i (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)) cosTheta_i) (/.f32 cosTheta_O v))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
(*.f32 cosTheta_i (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)) cosTheta_i) (/.f32 cosTheta_O v))))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(/.f32 #s(literal 1/2 binary32) v)
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
(/.f32 #s(literal 1/2 binary32) v)
(.f32 (.f32 #s(literal 1/2 binary32) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(.f32 #s(literal 1/2 binary32) (.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (cbrt.f32 v))
(.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
(pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))
(/.f32 #s(literal 1/2 binary32) v)
(pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))
(/.f32 #s(literal 1/2 binary32) v)
(pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 #s(literal 1/2 binary32) v)
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))
(/.f32 #s(literal 1/2 binary32) v)
(pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) v)
(neg.f32 (/.f32 #s(literal -1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
(sqrt.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 v #s(literal -2 binary32))))
(log.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1/2 binary32) v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 #s(literal 1/2 binary32) v)
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1/2 binary32) v)
(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1/2 binary32) v)
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
(-.f32 (exp.f32 (log1p.f32 (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 cosTheta_O v)))
(*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))
(/.f32 cosTheta_O v)
(*.f32 (/.f32 cosTheta_O v) #s(literal 1 binary32))
(/.f32 cosTheta_O v)
(*.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))
(/.f32 cosTheta_O v)
(*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)
(/.f32 cosTheta_O v)
(*.f32 (cbrt.f32 (/.f32 cosTheta_O v)) (pow.f32 (cbrt.f32 (/.f32 cosTheta_O v)) #s(literal 2 binary32)))
(/.f32 cosTheta_O v)
(*.f32 (pow.f32 (cbrt.f32 (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 cosTheta_O v)))
(/.f32 cosTheta_O v)
(*.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) (/.f32 (cbrt.f32 cosTheta_O) v))
(/.f32 cosTheta_O v)
(.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) (.f32 (cbrt.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
(/.f32 cosTheta_O v)
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 cosTheta_O (sqrt.f32 v)))
(*.f32 cosTheta_O (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (sqrt.f32 v)))
(*.f32 (sqrt.f32 (/.f32 cosTheta_O v)) (sqrt.f32 (/.f32 cosTheta_O v)))
(/.f32 cosTheta_O v)
(*.f32 (sqrt.f32 cosTheta_O) (/.f32 (sqrt.f32 cosTheta_O) v))
(/.f32 cosTheta_O v)
(.f32 (sqrt.f32 cosTheta_O) (.f32 (sqrt.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
(/.f32 cosTheta_O v)
(*.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
(/.f32 cosTheta_O v)
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 cosTheta_O (cbrt.f32 v)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (cbrt.f32 v))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)))
(/.f32 (/.f32 cosTheta_O (cbrt.f32 v)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 cosTheta_O) v))
(/.f32 cosTheta_O v)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 cosTheta_O v)))
(*.f32 (cbrt.f32 (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 cosTheta_O) (sqrt.f32 v)))
(/.f32 (/.f32 cosTheta_O (sqrt.f32 v)) (sqrt.f32 v))
(*.f32 (/.f32 (sqrt.f32 cosTheta_O) #s(literal 1 binary32)) (/.f32 (sqrt.f32 cosTheta_O) v))
(/.f32 cosTheta_O v)
(*.f32 (/.f32 (sqrt.f32 cosTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 cosTheta_O) (cbrt.f32 v)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (cbrt.f32 v))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)))
(/.f32 (/.f32 cosTheta_O (cbrt.f32 v)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(.f32 cosTheta_O (.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v))))
(/.f32 (*.f32 cosTheta_O (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (cbrt.f32 v))
(.f32 (.f32 cosTheta_O (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 cosTheta_O v)
(pow.f32 (/.f32 cosTheta_O v) #s(literal 1 binary32))
(/.f32 cosTheta_O v)
(pow.f32 (cbrt.f32 (/.f32 cosTheta_O v)) #s(literal 3 binary32))
(/.f32 cosTheta_O v)
(pow.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 cosTheta_O v)
(pow.f32 (sqrt.f32 (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 cosTheta_O v)
(pow.f32 (/.f32 v cosTheta_O) #s(literal -1 binary32))
(/.f32 cosTheta_O v)
(neg.f32 (/.f32 cosTheta_O (neg.f32 v)))
(/.f32 cosTheta_O v)
(neg.f32 (/.f32 (neg.f32 cosTheta_O) v))
(/.f32 cosTheta_O v)
(sqrt.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
(/.f32 cosTheta_O v)
(log.f32 (exp.f32 (/.f32 cosTheta_O v)))
(/.f32 cosTheta_O v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 cosTheta_O v))))
(/.f32 cosTheta_O v)
(cbrt.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32)))
(/.f32 cosTheta_O v)
(cbrt.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))))
(/.f32 cosTheta_O v)
(cbrt.f32 (/.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(/.f32 cosTheta_O v)
(expm1.f32 (log1p.f32 (/.f32 cosTheta_O v)))
(log1p.f32 (expm1.f32 (/.f32 cosTheta_O v)))
(/.f32 cosTheta_O v)
(exp.f32 (log.f32 (/.f32 cosTheta_O v)))
(/.f32 cosTheta_O v)
(exp.f32 (*.f32 (log.f32 (/.f32 cosTheta_O v)) #s(literal 1 binary32)))
(/.f32 cosTheta_O v)
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(+.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(-.f32 (exp.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(*.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(*.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (+.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 v #s(literal 3 binary32))) (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (.f32 sinTheta_O (/.f32 sinTheta_i v)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) v))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 v #s(literal 3 binary32))) (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (-.f32 (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (.f32 sinTheta_O (/.f32 sinTheta_i v)) (pow.f32 v #s(literal -2 binary32))) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (pow.f32 v #s(literal -2 binary32))) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 (pow.f32 v #s(literal -2 binary32)))) (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (-.f32 (.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_i v))) (pow.f32 v #s(literal -2 binary32))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal -1 binary32) v)))
(pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(pow.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(log.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(exp.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)

eval625.0ms (1.2%)

Compiler: Compiled 13020 to 7076 computations (45.7% saved)

prune395.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	409	7	416
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	410	7	417

Accuracy

100.0%

Counts

417 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)))
	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))))
▶	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
▶	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
▶	13.1%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))
▶	13.1%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
▶	4.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))

Compiler

Compiled 338 to 242 computations (28.4% saved)

localize2.6s (5.1%)

Algorithm

5×	egg-herbie

Localize:

Found 38 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
✓	cost-diff	0	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	32	(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
✓	cost-diff	0	(neg.f32 v)
✓	cost-diff	0	(/.f32 sinTheta_O (neg.f32 v))
✓	cost-diff	0	(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
	cost-diff	128	(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
✓	cost-diff	3200	(exp.f32 #s(literal 1 binary32))
✓	cost-diff	3328	(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
✓	cost-diff	3328	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
✓	accuracy	99.9%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.9%	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.7%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	accuracy	75.0%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	accuracy	100.0%	(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
✓	accuracy	99.8%	(exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
✓	accuracy	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
✓	accuracy	77.4%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	accuracy	100.0%	(neg.f32 v)
✓	accuracy	99.8%	(exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))
✓	accuracy	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))
✓	accuracy	99.4%	(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	98.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
	accuracy	100.0%	(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.9%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
	accuracy	99.9%	(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
	accuracy	99.3%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))

Rules

3132×	`fma-neg`
1680×	`fma-define`
1402×	`fma-neg`
874×	`times-frac`
870×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	416
1	49	416
2	83	410
3	167	404
4	421	404
5	952	401
6	1653	373
7	3388	359
8	4296	351
9	4641	335
10	5010	335
11	5093	335
12	5135	335
13	5999	335
14	6615	335
15	6623	335
16	6623	335
0	11	41
1	14	41
2	18	41
3	19	41
0	17	149
1	31	149
2	57	149
3	112	145
4	178	145
5	229	145
6	308	145
7	445	145
8	594	145
9	705	145
10	786	145
11	847	145
12	921	145
13	980	145
14	1042	145
15	1115	145
16	1175	145
17	1319	145
18	1325	145
19	1340	145
20	1349	145
21	1370	145
22	1468	145
0	18	160
1	30	160
2	59	156
3	118	156
4	169	156
5	259	156
6	346	156
7	410	156
8	492	156
9	749	156
10	848	156
11	922	156
12	981	156
13	1043	156
14	1115	156
15	1175	156
16	1319	156
17	1325	156
18	1340	156
19	1349	156
20	1370	156
21	1463	156
0	21	250
1	40	234
2	78	234
3	169	234
4	348	234
5	596	234
6	977	234
7	1755	234
8	3502	234
9	4448	221
10	7162	213

Stop Event

1×	node limit
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(literal 6931/10000 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

Outputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal -6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal -6931/10000 binary32))))
(exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 6931/10000 binary32)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal -1 binary32) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(neg.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal -6931/10000 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

Call 2

Inputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
#s(literal -1 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i

Outputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)
(/.f32 #s(literal 1/2 binary32) (*.f32 v (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
(pow.f32 (exp.f32 (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (neg.f32 v)))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
#s(literal -1 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i

Call 3

Inputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
sinTheta_i
(/.f32 sinTheta_O (neg.f32 v))
sinTheta_O
(neg.f32 v)

Outputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))))
(/.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) v)
(/.f32 #s(literal 1/2 binary32) (*.f32 v (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))
(pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
sinTheta_i
(/.f32 sinTheta_O (neg.f32 v))
sinTheta_O
(neg.f32 v)

Call 4

Inputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)

Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)

Call 5

Inputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(exp.f32 #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 6931/10000 binary32)

Outputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (E.f32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v)) #s(literal 6931/10000 binary32))) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(pow.f32 (E.f32) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(pow.f32 (E.f32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (E.f32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v)) #s(literal 6931/10000 binary32)))
(pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
(exp.f32 #s(literal 1 binary32))
(E.f32)
#s(literal 1 binary32)
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
(+.f32 (/.f32 (-.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v)) #s(literal 6931/10000 binary32))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
(/.f32 (-.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))
(/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 6931/10000 binary32)

Results

883.0ms

256×

valid

Compiler

Compiled 273 to 121 computations (55.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 637.0ms

ival-div: 146.0ms (22.9% of total)

ival-fma: 108.0ms (16.9% of total)

ival-exp: 100.0ms (15.7% of total)

const: 76.0ms (11.9% of total)

ival-add: 64.0ms (10% of total)

ival-mult: 61.0ms (9.6% of total)

ival-pow: 53.0ms (8.3% of total)

ival-sub: 27.0ms (4.2% of total)

ival-neg: 2.0ms (0.3% of total)

backward-pass: 0.0ms (0% of total)

series340.0ms (0.7%)

Counts

21 → 395

Calls

Call 1

Inputs
#<alt (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))>
#<alt (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))>
#<alt (exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))>
#<alt (neg.f32 v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))>
#<alt (exp.f32 #s(literal 1 binary32))>
#<alt (/.f32 sinTheta_O (neg.f32 v))>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (/.f32 #s(literal 1 binary32) v)>

Outputs
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_i (+.f32 (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_O (+.f32 (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_O (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v))))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))) v)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))) v)) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))))) v)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) v)))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))>
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#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32)))))))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 sinTheta_O (.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 sinTheta_O (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32)))))))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v))>

Calls

156 calls:

Time	Variable		Point	Expression
42.0ms	sinTheta_O	@	-inf	(* (/ 1/2 v) (pow (exp 1) (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))
24.0ms	cosTheta_i	@	0	(* (/ 1/2 v) (pow (exp 1) (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))
24.0ms	sinTheta_i	@	0	(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
18.0ms	sinTheta_O	@	0	(* (/ 1/2 v) (exp (* sinTheta_i (/ sinTheta_O (neg v)))))
17.0ms	cosTheta_O	@	0	(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))

rewrite1.2s (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

341×	`log1p-expm1-u`
341×	`expm1-log1p-u`
339×	`add-exp-log`
339×	`add-log-exp`
334×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	612
1	788	554

Stop Event

1×	node limit

Counts

21 → 457

Calls

Call 1

Inputs
(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 #s(literal 6931/10000 binary32))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))
(exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))
(neg.f32 v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 #s(literal 1 binary32))
(/.f32 sinTheta_O (neg.f32 v))
(*.f32 sinTheta_O sinTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(/.f32 #s(literal 1 binary32) v)

Outputs
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 #s(literal 6931/10000 binary32)))
(.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))))
(.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))))
(.f32 (pow.f32 #s(literal 1 binary32) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(/.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (pow.f32 (E.f32) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(/.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
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(/.f32 (-.f32 (.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32))) v) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))))) #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))))) v))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))) v) (.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) v))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))) (/.f32 v #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 v #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))) v) (.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal -1 binary32))) (.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) v))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(exp.f32 (.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
(*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))))
(.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))))
(/.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)) #s(literal 2 binary32)))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))) v)
(pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))))
(cbrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))))
(log1p.f32 (expm1.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (+.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (.f32 (+.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (E.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (E.f32))
(*.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (cbrt.f32 (E.f32)))
(*.f32 (sqrt.f32 (E.f32)) (sqrt.f32 (E.f32)))
(pow.f32 (E.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (E.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (E.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (E.f32)) #s(literal 2 binary32))
(sqrt.f32 (exp.f32 #s(literal 2 binary32)))
(log.f32 (exp.f32 (E.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (E.f32))))
(cbrt.f32 (pow.f32 (E.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (E.f32)))
(log1p.f32 (expm1.f32 (E.f32)))
(E.f32)
(-.f32 (exp.f32 (log1p.f32 (/.f32 sinTheta_O v))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 sinTheta_O v)))
(*.f32 (sqrt.f32 (/.f32 sinTheta_O v)) (sqrt.f32 (/.f32 sinTheta_O v)))
(pow.f32 (/.f32 sinTheta_O v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 sinTheta_O v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 sinTheta_O v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v sinTheta_O) #s(literal -1 binary32))
(neg.f32 (/.f32 sinTheta_O v))
(sqrt.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 sinTheta_O v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 sinTheta_O v))))
(cbrt.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 sinTheta_O v)))
(log1p.f32 (expm1.f32 (/.f32 sinTheta_O v)))
(exp.f32 (log.f32 (/.f32 sinTheta_O v)))
(exp.f32 (*.f32 (log.f32 (/.f32 sinTheta_O v)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32))
(pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 sinTheta_O) sinTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_i sinTheta_O))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_i sinTheta_O)))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_i sinTheta_O)))
(exp.f32 (log.f32 (*.f32 sinTheta_i sinTheta_O)))
(exp.f32 (.f32 (log.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_i cosTheta_O))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 cosTheta_i) cosTheta_O))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_i cosTheta_O))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (pow.f32 cosTheta_O #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 cosTheta_i #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_i cosTheta_O)))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_i cosTheta_O)))
(exp.f32 (log.f32 (*.f32 cosTheta_i cosTheta_O)))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 v) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 v) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 v) #s(literal -1 binary32)))
(pow.f32 v #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 v #s(literal 1 binary32)) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 v #s(literal -2 binary32)))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (pow.f32 v #s(literal -3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) v)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (neg.f32 (log.f32 v)))
(exp.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.f32 v)) #s(literal 1 binary32)))

simplify2.4s (4.7%)

Algorithm

1×	egg-herbie

Rules

1848×	`associate-/r*`
1588×	`fma-define`
600×	`*-commutative`
534×	`associate-*r/`
510×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1242	38661
1	3118	36253

Stop Event

1×	node limit

Counts

852 → 715

Calls

Call 1

Inputs
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(log1p.f32 (expm1.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (+.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (.f32 (+.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (E.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (E.f32))
(*.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (cbrt.f32 (E.f32)))
(*.f32 (sqrt.f32 (E.f32)) (sqrt.f32 (E.f32)))
(pow.f32 (E.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (E.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (E.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (E.f32)) #s(literal 2 binary32))
(sqrt.f32 (exp.f32 #s(literal 2 binary32)))
(log.f32 (exp.f32 (E.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (E.f32))))
(cbrt.f32 (pow.f32 (E.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (E.f32)))
(log1p.f32 (expm1.f32 (E.f32)))
(E.f32)
(-.f32 (exp.f32 (log1p.f32 (/.f32 sinTheta_O v))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 sinTheta_O v)))
(*.f32 (sqrt.f32 (/.f32 sinTheta_O v)) (sqrt.f32 (/.f32 sinTheta_O v)))
(pow.f32 (/.f32 sinTheta_O v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 sinTheta_O v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 sinTheta_O v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v sinTheta_O) #s(literal -1 binary32))
(neg.f32 (/.f32 sinTheta_O v))
(sqrt.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 sinTheta_O v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 sinTheta_O v))))
(cbrt.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 sinTheta_O v)))
(log1p.f32 (expm1.f32 (/.f32 sinTheta_O v)))
(exp.f32 (log.f32 (/.f32 sinTheta_O v)))
(exp.f32 (*.f32 (log.f32 (/.f32 sinTheta_O v)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32))
(pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 sinTheta_O) sinTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_i sinTheta_O))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_i sinTheta_O)))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_i sinTheta_O)))
(exp.f32 (log.f32 (*.f32 sinTheta_i sinTheta_O)))
(exp.f32 (.f32 (log.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_i cosTheta_O))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 cosTheta_i) cosTheta_O))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_i cosTheta_O))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (pow.f32 cosTheta_O #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 cosTheta_i #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_i cosTheta_O)))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_i cosTheta_O)))
(exp.f32 (log.f32 (*.f32 cosTheta_i cosTheta_O)))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 v) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 v) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 v) #s(literal -1 binary32)))
(pow.f32 v #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 v #s(literal 1 binary32)) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 v #s(literal -2 binary32)))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (pow.f32 v #s(literal -3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) v)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (neg.f32 (log.f32 v)))
(exp.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.f32 v)) #s(literal 1 binary32)))

Outputs
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) v))))
(fma.f32 cosTheta_O (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) cosTheta_i) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32))))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) v))))
(fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (pow.f32 v #s(literal 2 binary32))))) (.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_i (+.f32 (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 cosTheta_O #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32))))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) v))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))))) (.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))
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(fma.f32 cosTheta_O (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) cosTheta_i) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))))
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(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) v))))
(exp.f32 (+.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) v))))
(exp.f32 (.f32 (+.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) v))))
(-.f32 (exp.f32 (log1p.f32 (E.f32))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (E.f32)))
(*.f32 #s(literal 1 binary32) (E.f32))
(E.f32)
(*.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (cbrt.f32 (E.f32)))
(*.f32 (sqrt.f32 (E.f32)) (sqrt.f32 (E.f32)))
(E.f32)
(pow.f32 (E.f32) #s(literal 1 binary32))
(E.f32)
(pow.f32 (cbrt.f32 (E.f32)) #s(literal 3 binary32))
(E.f32)
(pow.f32 (pow.f32 (E.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(E.f32)
(pow.f32 (sqrt.f32 (E.f32)) #s(literal 2 binary32))
(E.f32)
(sqrt.f32 (exp.f32 #s(literal 2 binary32)))
(log.f32 (exp.f32 (E.f32)))
(E.f32)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (E.f32))))
(E.f32)
(cbrt.f32 (pow.f32 (E.f32) #s(literal 3 binary32)))
(E.f32)
(expm1.f32 (log1p.f32 (E.f32)))
(log1p.f32 (expm1.f32 (E.f32)))
(E.f32)
(E.f32)
(-.f32 (exp.f32 (log1p.f32 (/.f32 sinTheta_O v))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 sinTheta_O v)))
(*.f32 #s(literal 1 binary32) (/.f32 sinTheta_O v))
(/.f32 sinTheta_O v)
(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) v))
(/.f32 sinTheta_O v)
(*.f32 (pow.f32 (cbrt.f32 (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 sinTheta_O v)))
(/.f32 sinTheta_O v)
(*.f32 (sqrt.f32 (/.f32 sinTheta_O v)) (sqrt.f32 (/.f32 sinTheta_O v)))
(/.f32 sinTheta_O v)
(pow.f32 (/.f32 sinTheta_O v) #s(literal 1 binary32))
(/.f32 sinTheta_O v)
(pow.f32 (cbrt.f32 (/.f32 sinTheta_O v)) #s(literal 3 binary32))
(/.f32 sinTheta_O v)
(pow.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 sinTheta_O v)
(pow.f32 (sqrt.f32 (/.f32 sinTheta_O v)) #s(literal 2 binary32))
(/.f32 sinTheta_O v)
(pow.f32 (/.f32 v sinTheta_O) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 v sinTheta_O))
(neg.f32 (/.f32 sinTheta_O v))
(/.f32 (neg.f32 sinTheta_O) v)
(/.f32 sinTheta_O (neg.f32 v))
(sqrt.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 2 binary32)))
(fabs.f32 (/.f32 sinTheta_O v))
(log.f32 (exp.f32 (/.f32 sinTheta_O v)))
(/.f32 sinTheta_O v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 sinTheta_O v))))
(/.f32 sinTheta_O v)
(cbrt.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)))
(/.f32 sinTheta_O v)
(cbrt.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(/.f32 sinTheta_O v)
(expm1.f32 (log1p.f32 (/.f32 sinTheta_O v)))
(log1p.f32 (expm1.f32 (/.f32 sinTheta_O v)))
(/.f32 sinTheta_O v)
(exp.f32 (log.f32 (/.f32 sinTheta_O v)))
(/.f32 sinTheta_O v)
(exp.f32 (*.f32 (log.f32 (/.f32 sinTheta_O v)) #s(literal 1 binary32)))
(/.f32 sinTheta_O v)
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))
(*.f32 sinTheta_O sinTheta_i)
(pow.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32))
(*.f32 sinTheta_O sinTheta_i)
(pow.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 sinTheta_O sinTheta_i)
(pow.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))
(*.f32 sinTheta_O sinTheta_i)
(sqrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)))
(fabs.f32 (*.f32 sinTheta_O sinTheta_i))
(log.f32 (pow.f32 (exp.f32 sinTheta_O) sinTheta_i))
(*.f32 sinTheta_O sinTheta_i)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_i sinTheta_O))))
(*.f32 sinTheta_O sinTheta_i)
(cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)))
(*.f32 sinTheta_O sinTheta_i)
(cbrt.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))))
(*.f32 sinTheta_O sinTheta_i)
(cbrt.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32))))
(*.f32 sinTheta_O sinTheta_i)
(expm1.f32 (log1p.f32 (*.f32 sinTheta_i sinTheta_O)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_i sinTheta_O)))
(*.f32 sinTheta_O sinTheta_i)
(exp.f32 (log.f32 (*.f32 sinTheta_i sinTheta_O)))
(*.f32 sinTheta_O sinTheta_i)
(exp.f32 (.f32 (log.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)))
(*.f32 sinTheta_O sinTheta_i)
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_i cosTheta_O))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O cosTheta_i)))
(pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32))
(*.f32 cosTheta_O cosTheta_i)
(pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) #s(literal 3 binary32))
(*.f32 cosTheta_O cosTheta_i)
(pow.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 cosTheta_O cosTheta_i)
(pow.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))
(*.f32 cosTheta_O cosTheta_i)
(sqrt.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)))
(fabs.f32 (*.f32 cosTheta_O cosTheta_i))
(log.f32 (pow.f32 (exp.f32 cosTheta_i) cosTheta_O))
(*.f32 cosTheta_O cosTheta_i)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_i cosTheta_O))))
(*.f32 cosTheta_O cosTheta_i)
(cbrt.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)))
(*.f32 cosTheta_O cosTheta_i)
(cbrt.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (pow.f32 cosTheta_O #s(literal 3 binary32))))
(*.f32 cosTheta_O cosTheta_i)
(cbrt.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 cosTheta_i #s(literal 3 binary32))))
(*.f32 cosTheta_O cosTheta_i)
(expm1.f32 (log1p.f32 (*.f32 cosTheta_i cosTheta_O)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O cosTheta_i)))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_O cosTheta_i)
(exp.f32 (log.f32 (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_O cosTheta_i)
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)))
(*.f32 cosTheta_O cosTheta_i)
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(*.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))))
(/.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (cbrt.f32 v))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) v)
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 v) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(*.f32 (pow.f32 (sqrt.f32 v) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 v) #s(literal -1 binary32)))
(pow.f32 (sqrt.f32 v) #s(literal -2 binary32))
(pow.f32 v #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) v)
(pow.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) v)
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) #s(literal 3 binary32))
(/.f32 #s(literal 1 binary32) v)
(pow.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) v)
(pow.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 1/3 binary32))
(cbrt.f32 (pow.f32 v #s(literal -3 binary32)))
(pow.f32 (/.f32 v #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) v)
(sqrt.f32 (pow.f32 v #s(literal -2 binary32)))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) v)
(cbrt.f32 (pow.f32 v #s(literal -3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) v)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) v)
(exp.f32 (neg.f32 (log.f32 v)))
(/.f32 #s(literal 1 binary32) v)
(exp.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) v)
(exp.f32 (*.f32 (neg.f32 (log.f32 v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) v)

eval1.7s (3.4%)

Compiler: Compiled 27482 to 16487 computations (40% saved)

prune1.2s (2.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	1087	6	1093
Fresh	2	0	2
Picked	5	0	5
Done	0	0	0
Total	1094	6	1100

Accuracy

100.0%

Counts

1100 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.4%	(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
▶	4.5%	(/.f32 #s(literal 1/2 binary32) v)
▶	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32)))
	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)) #s(literal 2 binary32)))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))))
▶	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
▶	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))

Compiler

Compiled 228 to 182 computations (20.2% saved)

localize2.0s (4%)

Algorithm

5×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	3296	(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32))
✓	cost-diff	3296	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32)))
✓	cost-diff	0	(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	0	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
✓	cost-diff	-3136	(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
	cost-diff	0	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	cost-diff	0	(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	-3136	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(E.f32)
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	100.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32)))
✓	accuracy	99.9%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))
✓	accuracy	99.2%	(sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	100.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.9%	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.9%	(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
✓	accuracy	99.9%	(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
✓	accuracy	99.8%	(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
	accuracy	77.4%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	100.0%	(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
✓	accuracy	100.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
✓	accuracy	99.9%	(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))

Rules

2636×	`fma-define`
1372×	`fma-define`
1090×	`fma-neg`
1010×	`fma-neg`
758×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	201
1	40	201
2	56	201
3	78	201
4	115	201
5	175	201
6	249	201
7	431	201
8	807	201
9	1639	201
10	2128	201
11	2517	201
12	2692	201
13	2781	201
14	3025	201
15	3191	201
16	3191	201
0	7	15
0	16	154
1	23	146
2	38	146
3	59	146
4	75	146
5	84	146
0	14	98
1	27	98
2	47	98
3	79	98
4	136	98
5	191	98
6	257	98
7	398	98
8	720	98
9	876	98
10	887	98
11	889	98
0	23	293
1	45	263
2	72	263
3	138	263
4	274	263
5	518	263
6	834	263
7	1348	263
8	2367	263
9	4099	263
10	6668	263

Stop Event

1×	node limit
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32))
(sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
#s(literal 1 binary32)
#s(literal 2 binary32)

Outputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)
(-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32))
(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
#s(literal 1 binary32)
#s(literal 2 binary32)

Call 2

Inputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

Call 3

Inputs
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
#s(literal 1/2 binary32)
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
#s(literal -1/2 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v

Outputs
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)) v)
(/.f32 (fma.f32 sinTheta_O (*.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)) v)
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32))
(fma.f32 sinTheta_O (*.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i v)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))
(.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))
#s(literal -1/2 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v

Call 4

Inputs
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v

Outputs
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v

Call 5

Inputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
(E.f32)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
#s(literal 1 binary32)

Outputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(E.f32)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)
(-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32))
(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
#s(literal 1 binary32)

Results

835.0ms

256×

valid

Compiler

Compiled 227 to 130 computations (42.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 631.0ms

ival-div: 144.0ms (22.8% of total)

ival-pow: 135.0ms (21.4% of total)

ival-sub: 124.0ms (19.7% of total)

ival-add: 98.0ms (15.5% of total)

const: 45.0ms (7.1% of total)

ival-sqrt: 38.0ms (6% of total)

ival-mult: 24.0ms (3.8% of total)

ival-exp: 18.0ms (2.9% of total)

ival-e: 5.0ms (0.8% of total)

backward-pass: 0.0ms (0% of total)

series339.0ms (0.7%)

Counts

16 → 395

Calls

Call 1

Inputs
#<alt (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))>
#<alt (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))>
#<alt (.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)>
#<alt (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))>
#<alt (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))>
#<alt (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))>
#<alt (.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32)))>
#<alt (E.f32)>
#<alt (*.f32 cosTheta_i cosTheta_O)>
#<alt (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32))>

Outputs
#<alt (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)>
#<alt #s(literal 6931/10000 binary32)>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt #s(literal 6931/10000 binary32)>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))>
#<alt (+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (log.f32 (E.f32))))) v))>
#<alt (+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.f32 cosTheta_i (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 cosTheta_O (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (log.f32 (E.f32)))) v))))>
#<alt (+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i (+.f32 (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (.f32 cosTheta_i (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (.f32 cosTheta_O (.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (log.f32 (E.f32)))) v))))>
#<alt (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))>
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#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v))>
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#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))>
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#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (/.f32 #s(literal -1 binary32) v)>
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#<alt (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v))))>
#<alt (.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v))))>
#<alt (.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)))))>
#<alt (/.f32 #s(literal -1 binary32) v)>
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#<alt (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v))))>
#<alt (.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v))))>
#<alt (.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)>
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#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
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#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))>
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#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))))>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
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#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
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#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v)))))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v)))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
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#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
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#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 #s(literal 1/2 binary32) v)) (pow.f32 v #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 #s(literal 1/2 binary32) v)) (pow.f32 v #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
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#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32)) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32)) v))>
#<alt #s(literal 1/2 binary32)>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i v)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i v)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i v)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)))))>
#<alt #s(literal 1/2 binary32)>
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#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/12 binary32) (/.f32 (.f32 cosTheta_O (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32)))))))))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (+.f32 (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O (+.f32 (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_O (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))) v))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32))) v)) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))))) v))) v)))>

Calls

114 calls:

Time	Variable		Point	Expression
39.0ms	v	@	-inf	(* -1/2 (/ (* sinTheta_O sinTheta_i) v))
38.0ms	v	@	inf	(* (/ 1/2 v) (pow (E) (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) 1) v))))
19.0ms	cosTheta_i	@	0	(sqrt (exp (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) 1) v))))
18.0ms	v	@	-inf	(exp (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) 1) v)))
17.0ms	sinTheta_i	@	-inf	(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)

rewrite637.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`associate-r`
296×	`associate-l`
271×	`log1p-expm1-u`
271×	`expm1-log1p-u`
257×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	504
1	626	476

Stop Event

1×	node limit

Counts

16 → 426

Calls

Call 1

Inputs
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32)))
(E.f32)
(*.f32 cosTheta_i cosTheta_O)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32))

Outputs
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (/.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 1 binary32))
(.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 1/2 binary32)))
(*.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) (-.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))))
(*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 1/2 binary32)) #s(literal 2 binary32))
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(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
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(.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 1 binary32)) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(sqrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))

simplify1.3s (2.6%)

Algorithm

1×	egg-herbie

Rules

1464×	`fma-define`
774×	`*-commutative`
774×	`times-frac`
606×	`distribute-rgt-in`
588×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1361	39941
1	3555	37706

Stop Event

1×	node limit

Counts

821 → 743

Calls

Call 1

Inputs
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)
(/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)
(/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)
#s(literal 6931/10000 binary32)
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
#s(literal 6931/10000 binary32)
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (log.f32 (E.f32))))) v))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.f32 cosTheta_i (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 cosTheta_O (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (log.f32 (E.f32)))) v))))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i (+.f32 (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (.f32 cosTheta_i (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (.f32 cosTheta_O (.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (log.f32 (E.f32)))) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (log.f32 (E.f32))))) v))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (log.f32 (E.f32)))) v))))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O (+.f32 (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_O (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (log.f32 (E.f32)))) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32))
(+.f32 (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (.f32 (log.f32 (E.f32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))
(+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32))))) (+.f32 (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (.f32 (log.f32 (E.f32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)) (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32))))
(+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32))))) (+.f32 (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (.f32 (log.f32 (E.f32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))))
(pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32))
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(exp.f32 (log.f32 (*.f32 cosTheta_i cosTheta_O)))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (cbrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1/4 binary32)) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(*.f32 (pow.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1/4 binary32))) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1/4 binary32)))
(.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 1 binary32)) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(sqrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))

Outputs
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_i)))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 #s(literal -1 binary32) (.f32 v cosTheta_i)))))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_i)))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 #s(literal -1 binary32) (.f32 v cosTheta_i)))))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_i)))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 #s(literal -1 binary32) (.f32 v cosTheta_i)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))
(*.f32 (-.f32 (/.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))
(*.f32 (-.f32 (/.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))
(*.f32 (-.f32 (/.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) (.f32 v cosTheta_O)))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) (.f32 v cosTheta_O)))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) (.f32 v cosTheta_O)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))
(neg.f32 (*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (neg.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))
(*.f32 cosTheta_O (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) (/.f32 cosTheta_i v))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))
(neg.f32 (*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (neg.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))
(*.f32 cosTheta_O (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) (/.f32 cosTheta_i v))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))
(neg.f32 (*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (neg.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))
(*.f32 cosTheta_O (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) (/.f32 cosTheta_i v))))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
(/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)
(/.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)
(/.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)
(/.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
#s(literal 6931/10000 binary32)
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
#s(literal 6931/10000 binary32)
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (log.f32 (E.f32))))) v))
(+.f32 (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v)))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(pow.f32 (sqrt.f32 (E.f32)) (+.f32 #s(literal 6931/5000 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1/4 binary32))) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1/4 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 1 binary32)) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) (.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))))
(.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))))
(sqrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(sqrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))

eval2.1s (4.2%)

Compiler: Compiled 23592 to 16976 computations (28% saved)

prune1.3s (2.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1033	10	1043
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1036	13	1049

Accuracy

100.0%

Counts

1049 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) #s(literal 3 binary32))
✓	4.4%	(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
▶	34.6%	(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
	4.4%	(/.f32 (.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) sinTheta_i))) v)
	19.1%	(/.f32 (.f32 sinTheta_O (.f32 sinTheta_i #s(literal -1/2 binary32))) (pow.f32 v #s(literal 2 binary32)))
	34.6%	(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)
▶	14.4%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
✓	4.5%	(/.f32 #s(literal 1/2 binary32) v)
	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
▶	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
✓	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
▶	18.7%	(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))

Compiler

Compiled 377 to 302 computations (19.9% saved)

localize1.5s (2.9%)

Algorithm

5×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
✓	cost-diff	0	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
✓	cost-diff	0	(cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
✓	cost-diff	6432	(pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) #s(literal 3 binary32))
✓	cost-diff	0	(pow.f32 v #s(literal 2 binary32))
	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
✓	cost-diff	0	(/.f32 (*.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))
✓	cost-diff	0	(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
✓	cost-diff	0	(/.f32 #s(literal -1/2 binary32) v)
	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
✓	cost-diff	0	(.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))
✓	cost-diff	0	(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
✓	cost-diff	0	(/.f32 sinTheta_i v)
✓	cost-diff	0	(*.f32 sinTheta_O (/.f32 sinTheta_i v))
✓	cost-diff	0	(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))
✓	cost-diff	0	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
	cost-diff	0	(E.f32)
✓	cost-diff	0	(pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	100.0%	(pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) #s(literal 3 binary32))
✓	accuracy	99.9%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	98.6%	(cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
	accuracy	100.0%	(*.f32 sinTheta_O sinTheta_i)
✓	accuracy	100.0%	(pow.f32 v #s(literal 2 binary32))
✓	accuracy	99.7%	(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
✓	accuracy	52.7%	(/.f32 (*.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) v)
	accuracy	100.0%	(*.f32 sinTheta_O sinTheta_i)
✓	accuracy	94.8%	(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
✓	accuracy	77.5%	(.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))
✓	accuracy	100.0%	(/.f32 sinTheta_i v)
✓	accuracy	99.9%	(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))
✓	accuracy	99.3%	(*.f32 sinTheta_O (/.f32 sinTheta_i v))
✓	accuracy	94.8%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
	accuracy	100.0%	(E.f32)
✓	accuracy	100.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.9%	(pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
	accuracy	99.9%	(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))

Rules

54×	`*-commutative`
52×	`associate-l`
44×	`associate-l`
42×	`*-commutative`
42×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	109
1	26	109
2	38	109
3	49	109
4	62	109
5	74	109
6	90	109
7	106	109
8	111	109
0	14	113
1	22	113
2	47	113
3	86	113
4	128	113
5	148	113
6	154	113
0	14	101
1	22	101
2	48	101
3	85	101
4	116	101
5	140	101
0	15	99
1	22	99
2	45	99
3	97	99
4	151	99
5	161	99
0	17	192
1	27	192
2	34	192
3	49	192
4	69	192
5	78	192

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) #s(literal 3 binary32))
(cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
#s(literal 1/2 binary32)
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
v
#s(literal 3 binary32)

Outputs
(pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) #s(literal 3 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
(cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
#s(literal 1/2 binary32)
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
v
#s(literal 3 binary32)

Call 2

Inputs
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
#s(literal -1/2 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(pow.f32 v #s(literal 2 binary32))
v
#s(literal 2 binary32)

Outputs
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) sinTheta_O) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_O (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
(.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) (pow.f32 v #s(literal 2 binary32))))
#s(literal -1/2 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))
(*.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32))))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(pow.f32 v #s(literal 2 binary32))
v
#s(literal 2 binary32)

Call 3

Inputs
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
(.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(/.f32 #s(literal -1/2 binary32) v)
#s(literal -1/2 binary32)
v

Outputs
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
(.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 (/.f32 #s(literal -1/2 binary32) v) v))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_i #s(literal -1/2 binary32))) (*.f32 v v))
(.f32 (/.f32 #s(literal -1/2 binary32) v) (.f32 sinTheta_O (/.f32 sinTheta_i v)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O v)) v))
(.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))
(.f32 sinTheta_O (.f32 sinTheta_i (/.f32 #s(literal -1/2 binary32) v)))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))
(.f32 sinTheta_O (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(/.f32 #s(literal -1/2 binary32) v)
#s(literal -1/2 binary32)
v

Call 4

Inputs
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))
#s(literal -1/2 binary32)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
sinTheta_O
(/.f32 sinTheta_i v)
sinTheta_i
v

Outputs
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
(/.f32 (.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v)) v)
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) v)))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))
(.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v))
#s(literal -1/2 binary32)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
sinTheta_O
(/.f32 sinTheta_i v)
sinTheta_i
v

Call 5

Inputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(E.f32)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(E.f32)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

Results

886.0ms

256×

valid

Compiler

Compiled 182 to 111 computations (39% saved)

Precisions

Click to see histograms. Total time spent on operations: 741.0ms

ival-div: 214.0ms (28.9% of total)

ival-mult: 214.0ms (28.9% of total)

ival-pow: 157.0ms (21.2% of total)

const: 65.0ms (8.8% of total)

ival-exp: 32.0ms (4.3% of total)

ival-cbrt: 25.0ms (3.4% of total)

ival-add: 23.0ms (3.1% of total)

ival-sub: 6.0ms (0.8% of total)

ival-e: 4.0ms (0.5% of total)

backward-pass: 0.0ms (0% of total)

series544.0ms (1.1%)

Counts

18 → 276

Calls

Call 1

Inputs
#<alt (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))>
#<alt (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)>
#<alt (*.f32 sinTheta_O (/.f32 sinTheta_i v))>
#<alt (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))>
#<alt (/.f32 sinTheta_i v)>
#<alt (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))>
#<alt (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)>
#<alt (/.f32 #s(literal -1/2 binary32) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (pow.f32 v #s(literal 2 binary32))>
#<alt (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))>
#<alt (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))>
#<alt (pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) #s(literal 3 binary32))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))>
#<alt (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)>

Outputs
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))>
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))>
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))>
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))>
#<alt (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))) (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))))>
#<alt (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) v))) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (log.f32 (E.f32)))) v)) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)) v))) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32))))) v)) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (log.f32 (E.f32)))) v)) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (log.f32 (E.f32)) v))) (.f32 #s(literal 1/2 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))) v)>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (.f32 #s(literal 1/4 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))) (.f32 #s(literal 1/2 binary32) (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32))))) v)>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (.f32 #s(literal -1/12 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/4 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))) (.f32 #s(literal 1/2 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))))) v)>
#<alt (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (log.f32 (E.f32)) v)))) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (log.f32 (E.f32)))) (.f32 #s(literal 1/4 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) v)))) v)) (.f32 #s(literal -1/2 binary32) (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)))) (.f32 #s(literal 1/12 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)) v)))) v)) (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (log.f32 (E.f32))))) v)) (.f32 #s(literal -1/2 binary32) (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))) v))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
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#<alt (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32))))))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))) v)))>
#<alt (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)>
#<alt (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)>
#<alt (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)>
#<alt (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)>
#<alt (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v)>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))))) v)>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))))) v)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v)) (.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))))) v)) (.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v)) (*.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v)>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))) v)>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (+.f32 (.f32 #s(literal -1/12 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))) v)>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) v)) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal 1/12 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) v)) (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v)) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
#<alt (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)>
#<alt (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)>
#<alt (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)>
#<alt (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)>
#<alt (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)>
#<alt (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) v)>
#<alt (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32)))))) v)>
#<alt (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32))))))) v)>
#<alt (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) v))) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) v))) v))) v))>

Calls

99 calls:

Time	Variable		Point	Expression
246.0ms	v	@	0	(cbrt (* 1/2 (/ (exp (+ 6931/10000 (/ -1 v))) v)))
59.0ms	v	@	0	(pow (cbrt (* 1/2 (/ (exp (+ 6931/10000 (/ -1 v))) v))) 3)
42.0ms	sinTheta_O	@	inf	(* (* sinTheta_O sinTheta_i) (/ -1/2 v))
17.0ms	v	@	inf	(pow v 2)
17.0ms	sinTheta_i	@	-inf	(/ (* -1/2 (* sinTheta_O (/ sinTheta_i v))) v)

rewrite850.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`associate-r`
384×	`times-frac`
280×	`log1p-expm1-u`
280×	`expm1-log1p-u`
276×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	496
1	645	473

Stop Event

1×	node limit

Counts

18 → 519

Calls

Call 1

Inputs
(pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 sinTheta_i v)
(.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
(/.f32 #s(literal -1/2 binary32) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
(pow.f32 v #s(literal 2 binary32))
(cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) #s(literal 3 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)

Outputs
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (pow.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (neg.f32 v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 v))
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
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(.f32 (.f32 (cbrt.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))) #s(literal 1 binary32)) (cbrt.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))) (cbrt.f32 #s(literal 1/2 binary32))) (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(.f32 (.f32 (cbrt.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))))) (cbrt.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))) (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/6 binary32))) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/6 binary32)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (cbrt.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (neg.f32 v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 v))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (neg.f32 v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 v))
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 v)))
(*.f32 (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (cbrt.f32 v)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (cbrt.f32 v)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (sqrt.f32 v)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (sqrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 v)))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (cbrt.f32 v)))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 v)))
(exp.f32 (*.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 v)) #s(literal 1 binary32)))

simplify1.8s (3.6%)

Algorithm

1×	egg-herbie

Rules

860×	`exp-prod`
808×	`associate-*r/`
746×	`associate-/l*`
688×	`times-frac`
658×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1214	29261
1	2869	27697
2	7567	27693

Stop Event

1×	node limit

Counts

795 → 745

Calls

Call 1

Inputs
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32))
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(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 v)))
(*.f32 (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (cbrt.f32 v)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (cbrt.f32 v)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (sqrt.f32 v)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (sqrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 v)))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (cbrt.f32 v)))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 v)))
(exp.f32 (*.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 v)) #s(literal 1 binary32)))

Outputs
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32))
(pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32))) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)))
(-.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) v))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32))))
(fma.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32))) (fma.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 v #s(literal 2 binary32)))) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32))))
(-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) (pow.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32))) (/.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) v))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))) (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))))
(fma.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32))) (fma.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 v #s(literal 3 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 v #s(literal 2 binary32)))) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)))))
(-.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) (pow.f32 v #s(literal 3 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) (pow.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)))) (/.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) v))
(pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32))
(pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32))) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)))
(-.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) v))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) v))) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (log.f32 (E.f32)))) v)) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32))) (.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)))) v) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)))
(-.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) (/.f32 (fma.f32 (/.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) v) #s(literal -1/2 binary32) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32))) v))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (/.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)) v))) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32))))) v)) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)) (log.f32 (E.f32)))) v)) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (E.f32) #s(literal 6931 binary32))) #s(literal 1/10000 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32))))) v) (.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)))) v) (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)))
(-.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) (/.f32 (-.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) (/.f32 (fma.f32 (/.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) v) #s(literal -1/6 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 6931 binary32)) #s(literal 1/10000 binary32)) #s(literal 1/2 binary32))) v)) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))
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(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 v)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (sqrt.f32 v)))
(*.f32 (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 v))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (cbrt.f32 v)))
(/.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (cbrt.f32 v)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (cbrt.f32 v)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (cbrt.f32 v)))
(/.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (cbrt.f32 v)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (sqrt.f32 v)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (sqrt.f32 v)))
(/.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 v)) (sqrt.f32 v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 v)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (sqrt.f32 v)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (sqrt.f32 v)))
(/.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 v)) (sqrt.f32 v))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (cbrt.f32 v)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (cbrt.f32 v)))
(/.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (cbrt.f32 v)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v))))
(/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (cbrt.f32 v))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1 binary32))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 3 binary32))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 2 binary32))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(pow.f32 (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(neg.f32 (/.f32 (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(log.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 3 binary32)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(exp.f32 (*.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 v)) #s(literal 1 binary32)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)

eval1.0s (2%)

Compiler: Compiled 15475 to 11575 computations (25.2% saved)

prune1.1s (2.3%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	859	16	875
Fresh	1	4	5
Picked	1	4	5
Done	0	3	3
Total	861	27	888

Accuracy

100.0%

Counts

888 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) #s(literal 3 binary32))
	35.3%	(/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)) v) v)
	14.4%	(/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 v sinTheta_i)) v)
	35.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)))) v)
✓	4.4%	(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
✓	34.6%	(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
	19.1%	(/.f32 (.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) sinTheta_O) (pow.f32 v #s(literal 2 binary32)))
	4.4%	(/.f32 (.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) sinTheta_i))) v)
	34.6%	(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)
	14.4%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v))) v)
✓	14.4%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
	19.4%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
	14.4%	(/.f32 (neg.f32 (.f32 sinTheta_O (.f32 sinTheta_i (/.f32 #s(literal 1/2 binary32) v)))) v)
✓	4.5%	(/.f32 #s(literal 1/2 binary32) v)
	18.7%	(/.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 v #s(literal 2 binary32)) (*.f32 sinTheta_O sinTheta_i)))
	10.7%	(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) #s(literal 1 binary32)) (/.f32 (/.f32 sinTheta_i v) v))
	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
✓	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
✓	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
	14.4%	(.f32 (.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
	14.4%	(.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (/.f32 #s(literal 1 binary32) v))
	18.2%	(.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal -2 binary32)))
	10.3%	(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
	18.7%	(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v v)))
	10.9%	(.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)))
	10.3%	(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))))

Compiler

Compiled 954 to 652 computations (31.7% saved)

regimes483.0ms (0.9%)

Counts

41 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/2 binary32) v)
(.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v v)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
(/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 v sinTheta_i)) v)
(/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)) v) v)
(/.f32 (neg.f32 (.f32 sinTheta_O (.f32 sinTheta_i (/.f32 #s(literal 1/2 binary32) v)))) v)
(.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) #s(literal 1 binary32)) (/.f32 (/.f32 sinTheta_i v) v))
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)))) v)
(/.f32 (.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) sinTheta_i))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal -2 binary32)))
(/.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 v #s(literal 2 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_i #s(literal -1/2 binary32))) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) sinTheta_O) (pow.f32 v #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) #s(literal 3 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)) #s(literal 2 binary32)))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))))

Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))

Calls

9 calls:

80.0ms	cosTheta_O
65.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
62.0ms	sinTheta_O
52.0ms	sinTheta_i
50.0ms	v

Results

Accuracy	Segments	Branch
99.9%	1	`cosTheta_i`
99.9%	1	`cosTheta_O`
99.9%	1	`sinTheta_i`
99.9%	1	`sinTheta_O`
99.9%	1	`v`
99.9%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.9%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.9%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 80 computations (23.8% saved)

regimes210.0ms (0.4%)

Counts

27 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/2 binary32) v)
(.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v v)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
(/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 v sinTheta_i)) v)
(/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)) v) v)
(/.f32 (neg.f32 (.f32 sinTheta_O (.f32 sinTheta_i (/.f32 #s(literal 1/2 binary32) v)))) v)
(.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) #s(literal 1 binary32)) (/.f32 (/.f32 sinTheta_i v) v))
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)))) v)
(/.f32 (.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) sinTheta_i))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal -2 binary32)))
(/.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 v #s(literal 2 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_i #s(literal -1/2 binary32))) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) sinTheta_O) (pow.f32 v #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))

Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))

Calls

5 calls:

39.0ms	sinTheta_i
38.0ms	v
37.0ms	sinTheta_O
34.0ms	cosTheta_O
33.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.9%	1	`cosTheta_i`
99.9%	1	`cosTheta_O`
99.9%	1	`sinTheta_i`
99.9%	1	`sinTheta_O`
99.9%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes166.0ms (0.3%)

Counts

25 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/2 binary32) v)
(.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v v)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
(/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 v sinTheta_i)) v)
(/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)) v) v)
(/.f32 (neg.f32 (.f32 sinTheta_O (.f32 sinTheta_i (/.f32 #s(literal 1/2 binary32) v)))) v)
(.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) #s(literal 1 binary32)) (/.f32 (/.f32 sinTheta_i v) v))
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)))) v)
(/.f32 (.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) sinTheta_i))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal -2 binary32)))
(/.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 v #s(literal 2 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_i #s(literal -1/2 binary32))) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) sinTheta_O) (pow.f32 v #s(literal 2 binary32)))

Outputs
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)))) v)

Calls

5 calls:

37.0ms	v
37.0ms	cosTheta_O
32.0ms	sinTheta_i
30.0ms	sinTheta_O
26.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
35.6%	1	`cosTheta_i`
35.6%	1	`cosTheta_O`
35.6%	1	`sinTheta_i`
35.6%	1	`sinTheta_O`
35.6%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes281.0ms (0.6%)

Counts

14 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/2 binary32) v)
(.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v v)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
(/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 v sinTheta_i)) v)
(/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)) v) v)
(/.f32 (neg.f32 (.f32 sinTheta_O (.f32 sinTheta_i (/.f32 #s(literal 1/2 binary32) v)))) v)
(.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) #s(literal 1 binary32)) (/.f32 (/.f32 sinTheta_i v) v))
(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)

Outputs
(/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)) v) v)

Calls

5 calls:

120.0ms	sinTheta_i
64.0ms	cosTheta_i
41.0ms	sinTheta_O
30.0ms	cosTheta_O
23.0ms	v

Results

Accuracy	Segments	Branch
35.3%	1	`cosTheta_i`
35.3%	1	`cosTheta_O`
35.3%	1	`sinTheta_i`
35.3%	1	`v`
35.3%	1	`sinTheta_O`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes186.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/2 binary32) v)
(.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v v)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
(/.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 v sinTheta_i)) v)

Outputs
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)

Calls

5 calls:

138.0ms	sinTheta_i
15.0ms	cosTheta_i
14.0ms	cosTheta_O
11.0ms	sinTheta_O
6.0ms	v

Results

Accuracy	Segments	Branch
34.6%	1	`sinTheta_i`
34.6%	1	`cosTheta_O`
34.6%	1	`sinTheta_O`
34.6%	1	`cosTheta_i`
34.6%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes422.0ms (0.8%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/2 binary32) v)
(.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v v)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)

Outputs
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)

Calls

5 calls:

204.0ms	cosTheta_i
190.0ms	v
14.0ms	sinTheta_O
6.0ms	sinTheta_i
5.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
34.6%	1	`sinTheta_i`
34.6%	1	`cosTheta_i`
34.6%	1	`cosTheta_O`
34.6%	1	`v`
34.6%	1	`sinTheta_O`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes67.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/2 binary32) v)
(.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v v)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v))) v)

Outputs
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v v)))

Calls

5 calls:

20.0ms	v
15.0ms	cosTheta_i
13.0ms	sinTheta_O
12.0ms	sinTheta_i
5.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
18.7%	1	`sinTheta_i`
18.7%	1	`cosTheta_i`
18.7%	1	`cosTheta_O`
18.7%	1	`sinTheta_O`
18.7%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes16.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/2 binary32) v)
(.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)))

Outputs
(.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)))

Calls

5 calls:

3.0ms	cosTheta_i
3.0ms	cosTheta_O
3.0ms	v
3.0ms	sinTheta_i
3.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
10.9%	1	`sinTheta_O`
10.9%	1	`v`
10.9%	1	`cosTheta_O`
10.9%	1	`cosTheta_i`
10.9%	1	`sinTheta_i`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes25.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/2 binary32) v)

Outputs
(/.f32 #s(literal 1/2 binary32) v)

Calls

5 calls:

20.0ms	v
1.0ms	cosTheta_O
1.0ms	sinTheta_O
1.0ms	cosTheta_i
1.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
4.5%	1	`sinTheta_i`
4.5%	1	`cosTheta_i`
4.5%	1	`sinTheta_O`
4.5%	1	`cosTheta_O`
4.5%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
16×	`neg-mul-1`
14×	`unsub-neg`
8×	`sub-neg`
8×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	312
1	59	312
2	67	312
3	73	312
4	80	312
5	92	312
6	108	312

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)) v) v)
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v v)))
(.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)))
(/.f32 #s(literal 1/2 binary32) v)

Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)) v) v)
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v v)))
(.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)))
(/.f32 #s(literal 1/2 binary32) v)

soundness4.2s (8.3%)

Rules

1590×	`exp-diff`
1500×	`times-frac`
1464×	`fma-define`
914×	`fma-neg`
788×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1361	39941
1	3555	37706
0	41	496
1	645	473
0	47	612
1	788	554
0	728	27612
1	1944	22984
2	7089	22966
0	173	2130
1	485	1898
2	1448	1854
3	5747	1854

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 679 to 393 computations (42.1% saved)

preprocess270.0ms (0.5%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 550 to 428 computations (22.2% saved)

Iter	Nodes	Cost
0	14	109
1	26	109
2	38	109
3	49	109
4	62	109
5	74	109
6	90	109
7	106	109
8	111	109
0	14	113
1	22	113
2	47	113
3	86	113
4	128	113
5	148	113
6	154	113
0	14	101
1	22	101
2	48	101
3	85	101
4	116	101
5	140	101
0	15	99
1	22	99
2	45	99
3	97	99
4	151	99
5	161	99
0	17	192
1	27	192
2	34	192
3	49	192
4	69	192
5	78	192

Iter	Nodes	Cost
0	14	109
1	26	109
2	38	109
3	49	109
4	62	109
5	74	109
6	90	109
7	106	109
8	111	109
0	14	113
1	22	113
2	47	113
3	86	113
4	128	113
5	148	113
6	154	113
0	14	101
1	22	101
2	48	101
3	85	101
4	116	101
5	140	101
0	15	99
1	22	99
2	45	99
3	97	99
4	151	99
5	161	99
0	17	192
1	27	192
2	34	192
3	49	192
4	69	192
5	78	192

analyze2.4s (4.6%)

sample11.5s (22.5%)

preprocess349.0ms (0.7%)

explain1.4s (2.7%)

eval1.0ms (0%)

prune28.0ms (0.1%)

localize940.0ms (1.8%)

series362.0ms (0.7%)

rewrite1.4s (2.8%)

simplify1.2s (2.4%)

eval625.0ms (1.2%)

prune395.0ms (0.8%)

localize2.6s (5.1%)

series340.0ms (0.7%)

rewrite1.2s (2.3%)

simplify2.4s (4.7%)

eval1.7s (3.4%)

prune1.2s (2.3%)

localize2.0s (4%)

series339.0ms (0.7%)

rewrite637.0ms (1.3%)

simplify1.3s (2.6%)

eval2.1s (4.2%)

prune1.3s (2.5%)

localize1.5s (2.9%)

series544.0ms (1.1%)

rewrite850.0ms (1.7%)

simplify1.8s (3.6%)

eval1.0s (2%)

prune1.1s (2.3%)

regimes483.0ms (0.9%)

regimes210.0ms (0.4%)

regimes166.0ms (0.3%)

regimes281.0ms (0.6%)

regimes186.0ms (0.4%)

regimes422.0ms (0.8%)

regimes67.0ms (0.1%)

regimes16.0ms (0%)

regimes25.0ms (0%)

simplify12.0ms (0%)

soundness4.2s (8.3%)

preprocess270.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	109
1	26	109
2	38	109
3	49	109
4	62	109
5	74	109
6	90	109
7	106	109
8	111	109
0	14	113
1	22	113
2	47	113
3	86	113
4	128	113
5	148	113
6	154	113
0	14	101
1	22	101
2	48	101
3	85	101
4	116	101
5	140	101
0	15	99
1	22	99
2	45	99
3	97	99
4	151	99
5	161	99
0	17	192
1	27	192
2	34	192
3	49	192
4	69	192
5	78	192