Metrics for HairBSDF, Mp, lower

analyze820.0ms (7.4%)

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 43 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 555.0ms

ival-sub: 209.0ms (37.6% of total)

ival-div: 139.0ms (25% of total)

ival-<=: 68.0ms (12.2% of total)

ival-mult: 54.0ms (9.7% of total)

ival-log: 25.0ms (4.5% of total)

ival-add: 23.0ms (4.1% of total)

ival-exp: 16.0ms (2.9% of total)

ival-and: 16.0ms (2.9% of total)

const: 5.0ms (0.9% of total)

backward-pass: 1.0ms (0.2% of total)

sample3.6s (32.3%)

Results

2.7s	8256×	0	valid
28.0ms	150×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-<=: 805.0ms (35.9% of total)

ival-mult: 312.0ms (13.9% of total)

ival-div: 279.0ms (12.4% of total)

ival-exp: 267.0ms (11.9% of total)

ival-log: 223.0ms (9.9% of total)

ival-sub: 158.0ms (7% of total)

ival-add: 93.0ms (4.1% of total)

ival-and: 75.0ms (3.3% of total)

const: 27.0ms (1.2% of total)

backward-pass: 4.0ms (0.2% of total)

Bogosity

preprocess119.0ms (1.1%)

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)

explain378.0ms (3.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
102	4	(-5.832210988318799e-22 2.7878906936301152e-36 -8.581325435376447e-36 1.8102386655101908e-14 1.7446825505574443e-13)	39	(1.345584595172056e-34 1.578469577268038e-9 8.282399796764189e-39 3.642125247964882e-33 8.939957107934049e-10)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
98	6	(-0.00016894972941372544 -7.901126102799907e-39 -2.3276831437581666e-29 3.3866369670215672e-21 5.307580067892559e-5)	29	(-0.241334468126297 -1.6061356336149982e-23 -8.593061158468362e-14 -1.0447885948865596e-30 5.514101303560892e-6)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
0	7	(-3.817452434441934e-33 1.7853065692463588e-9 -6.58051295719667e-23 6.278683420310786e-18 0.00175888289231807)	0	-	`(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)))))`
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	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) 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

226.0ms

512×

valid

Compiler

Compiled 308 to 65 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 15.0ms (26.9% of total)

ival-log: 13.0ms (23.3% of total)

ival-mult: 13.0ms (23.3% of total)

ival-sub: 5.0ms (9% of total)

ival-add: 5.0ms (9% of total)

ival-exp: 4.0ms (7.2% of total)

const: 1.0ms (1.8% of total)

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

eval1.0ms (0%)

Compiler: Compiled 91 to 37 computations (59.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.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))))
▶	99.8%	(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)))))

Status

Accuracy

Program

▶

99.8%

(*.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))))

▶

99.8%

(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)))))

Compiler

Compiled 54 to 38 computations (29.6% saved)

localize253.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 sinTheta_O v)
✓	cost-diff	0	(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	0	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	99.8%	(+.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	99.8%	(+.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))))
✓	accuracy	99.4%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	99.3%	(*.f32 sinTheta_i (/.f32 sinTheta_O v))

Rules

1460×	`fma-define`
1370×	`fma-neg`
1266×	`exp-sum`
702×	`sub-neg`
700×	`exp-diff`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	823
1	75	823
2	176	795
3	516	795
4	1710	795
5	4814	789
6	7613	789

Stop Event

1×	node limit

Calls

Call 1

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

Results

70.0ms

256×

valid

Compiler

Compiled 216 to 26 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 9.0ms (27.7% of total)

ival-add: 5.0ms (15.4% of total)

ival-mult: 5.0ms (15.4% of total)

ival-log: 4.0ms (12.3% of total)

ival-exp: 3.0ms (9.2% of total)

ival-fma: 3.0ms (9.2% of total)

ival-sub: 2.0ms (6.1% of total)

const: 1.0ms (3.1% of total)

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

series73.0ms (0.7%)

Counts

6 → 192

Calls

Call 1

Inputs
#<alt (*.f32 sinTheta_i (/.f32 sinTheta_O v))>
#<alt (*.f32 cosTheta_i (/.f32 cosTheta_O v))>
#<alt (+.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))))>
#<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 (/.f32 cosTheta_O v)>
#<alt (/.f32 sinTheta_O v)>

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

Calls

60 calls:

Time	Variable		Point	Expression
14.0ms	sinTheta_i	@	-inf	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
11.0ms	cosTheta_i	@	0	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
7.0ms	v	@	-inf	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
5.0ms	sinTheta_O	@	0	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
3.0ms	v	@	0	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))

rewrite374.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

899×	`log1p-expm1-u`
304×	`associate-r`
204×	`expm1-log1p-u`
197×	`add-exp-log`
197×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	221
1	457	211
2	6800	211

Stop Event

1×	node limit

Counts

6 → 225

Calls

Call 1

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

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

simplify340.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

590×	`fma-define`
564×	`div-sub`
452×	`*-commutative`
448×	`associate-l`
444×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	710	26973
1	1920	25859
2	6369	23612

Stop Event

1×	node limit

Counts

417 → 420

Calls

Call 1

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

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

eval192.0ms (1.7%)

Compiler: Compiled 17087 to 2707 computations (84.2% saved)

prune181.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	532	8	540
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	534	8	542

Accuracy

99.9%

Counts

542 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.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)))
▶	99.8%	(.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))))
▶	4.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
	98.5%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
▶	13.2%	(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
▶	99.8%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
	13.2%	(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
▶	77.9%	(exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) (.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O))))))

Compiler

Compiled 308 to 228 computations (26% saved)

localize323.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	64	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	256	(exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) (.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O))))))
✓	accuracy	77.8%	(/.f32 sinTheta_i (*.f32 v cosTheta_O))
✓	accuracy	75.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	accuracy	74.8%	(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
✓	accuracy	55.5%	(.f32 cosTheta_O (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) (.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O)))))

Rules

1028×	`exp-prod`
914×	`fma-neg`
874×	`exp-sum`
688×	`times-frac`
620×	`associate-r`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	50	1343
1	107	1311
2	258	1311
3	728	1303
4	2237	1265
5	4578	1233

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

158.0ms

256×

valid

Compiler

Compiled 352 to 42 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 48.0ms (49.6% of total)

ival-div: 17.0ms (17.6% of total)

ival-exp: 12.0ms (12.4% of total)

ival-add: 9.0ms (9.3% of total)

ival-sub: 4.0ms (4.1% of total)

ival-log: 4.0ms (4.1% of total)

const: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

series112.0ms (1%)

Counts

8 → 220

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
30.0ms	v	@	0	(log (/ 1/2 v))
12.0ms	v	@	-inf	(log (/ 1/2 v))
5.0ms	sinTheta_O	@	0	(* cosTheta_O (- (+ (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (+ 6931/10000 (/ -1 v)) cosTheta_O)) (* sinTheta_O (/ sinTheta_i (* v cosTheta_O)))))
5.0ms	v	@	inf	(log (/ 1/2 v))
4.0ms	cosTheta_i	@	0	(exp (* cosTheta_O (- (+ (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (+ 6931/10000 (/ -1 v)) cosTheta_O)) (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))))))

rewrite110.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

352×	`log1p-expm1-u`
352×	`expm1-log1p-u`
346×	`add-exp-log`
346×	`add-cube-cbrt`
345×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	396
1	748	392

Stop Event

1×	node limit

Counts

8 → 158

Calls

Call 1

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

Outputs
(+.f32 #s(literal 0 binary32) (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))) #s(literal 1 binary32))
(pow.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))))
(cbrt.f32 (pow.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))) #s(literal 3 binary32)) (pow.f32 cosTheta_O #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))))
(log1p.f32 (expm1.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))))
(exp.f32 (log.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)))) #s(literal 1 binary32))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) (/.f32 #s(literal 1 binary32) v))
(.f32 #s(literal 1 binary32) (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)))
(.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))))
(.f32 (sqrt.f32 (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))) (sqrt.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))))
(pow.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))) #s(literal 2 binary32))
(pow.f32 (/.f32 v (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32))
(log.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))))
(exp.f32 (log.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))))
(exp.f32 (.f32 (log.f32 (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) #s(literal 1 binary32))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v))
(.f32 #s(literal 1 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(.f32 (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) #s(literal 2 binary32))
(pow.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32))
(log.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (log.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O))) #s(literal 1 binary32))
(.f32 sinTheta_i (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 sinTheta_i v) cosTheta_O))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))
(*.f32 (sqrt.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O)) (sqrt.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))
(pow.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O)) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 cosTheta_O v) sinTheta_i) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))
(cbrt.f32 (pow.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 (*.f32 cosTheta_O v) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))
(log1p.f32 (expm1.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))
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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 1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(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)))

simplify331.0ms (3%)

Algorithm

1×	egg-herbie

Rules

910×	`associate-r`
776×	`associate-l`
712×	`fma-define`
702×	`*-commutative`
538×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	698	31565
1	1792	29656
2	6593	28176

Stop Event

1×	node limit

Counts

378 → 406

Calls

Call 1

Inputs
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.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 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.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 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.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 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.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 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (.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 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (.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 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (.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 (.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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(+.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.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 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.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 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.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 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))))) cosTheta_i)))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))))) cosTheta_i)))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))))) cosTheta_i)))
(/.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 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O 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 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O 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 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))) cosTheta_i)))))
(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)))) v)
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 v (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (log.f32 v) cosTheta_O)) (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O))))) (.f32 cosTheta_O (-.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O))))) v)
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 v (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (log.f32 v) cosTheta_O)) (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O))))) (.f32 cosTheta_O (-.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O))))) v)
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 v (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (log.f32 v) cosTheta_O)) (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O))))) (.f32 cosTheta_O (-.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O))))) v)
(.f32 cosTheta_O (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))))
(+.f32 (.f32 cosTheta_O (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))) (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)))) v))
(+.f32 (.f32 cosTheta_O (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))) (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)))) v))
(+.f32 (.f32 cosTheta_O (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))) (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)))) v))
(.f32 cosTheta_O (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal -1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_O)) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)))) v)) (.f32 cosTheta_O (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal -1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_O)) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)))) v)) (.f32 cosTheta_O (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal -1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_O)) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)))) v)) (.f32 cosTheta_O (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal -1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))) sinTheta_O)))
(.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))) sinTheta_O)))
(.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))) sinTheta_O)))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)))) sinTheta_O)) (/.f32 sinTheta_i v))))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)))) sinTheta_O)) (/.f32 sinTheta_i v))))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)))) sinTheta_O)) (/.f32 sinTheta_i v))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
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(pow.f32 (exp.f32 (sqrt.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))) (sqrt.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))))
(log.f32 (exp.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))))
(cbrt.f32 (pow.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))))
(log1p.f32 (expm1.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #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_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #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 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #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_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #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_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v)))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))
(*.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(neg.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(log1p.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(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)))

Outputs
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.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 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 #s(literal 6931/10000 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.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 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 #s(literal 6931/10000 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.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 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 #s(literal 6931/10000 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i 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 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.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 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.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 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.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 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (.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 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))))))
(neg.f32 (.f32 cosTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (.f32 #s(literal -1 binary32) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))) (*.f32 sinTheta_O (neg.f32 (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))
(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
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(exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))
(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
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(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))
(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
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(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))
(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
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(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))
(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(pow.f32 (exp.f32 cosTheta_O) (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (.f32 v cosTheta_O)))))
(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))
(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(pow.f32 (exp.f32 cosTheta_O) (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (.f32 v cosTheta_O)))))
(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))
(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_i (/.f32 sinTheta_O (.f32 v cosTheta_O))))))
(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O)) v))))
(+.f32 (exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))))))) v))
(+.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))))) v))
(fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_i (/.f32 sinTheta_O (.f32 v cosTheta_O)))))) v)) (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))))
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(+.f32 (exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O 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 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 cosTheta_O (exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))))))) v))))
(+.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))) (.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))) (pow.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_O (/.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))) v)))))
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(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
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(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (.f32 v cosTheta_O)))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (.f32 v cosTheta_O))))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))))
(.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))))
(.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O))))))))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))))
(expm1.f32 (log1p.f32 (.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))))
(pow.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))) #s(literal 1 binary32))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(pow.f32 (cbrt.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))) #s(literal 3 binary32))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(pow.f32 (pow.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(pow.f32 (sqrt.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))) #s(literal 2 binary32))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(log.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(cbrt.f32 (pow.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))) #s(literal 3 binary32)))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(cbrt.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))) #s(literal 3 binary32))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(cbrt.f32 (.f32 (pow.f32 (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))) #s(literal 3 binary32)) (pow.f32 cosTheta_O #s(literal 3 binary32))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(expm1.f32 (log1p.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))))
(expm1.f32 (log1p.f32 (.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))))
(log1p.f32 (expm1.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(exp.f32 (log.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O)))))) #s(literal 1 binary32)))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (-.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))) v))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)))) #s(literal 1 binary32))
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(expm1.f32 (log1p.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))))
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(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))
(.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) (/.f32 #s(literal 1 binary32) v))
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(.f32 #s(literal 1 binary32) (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)))
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(.f32 (sqrt.f32 (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))) (sqrt.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))))
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(pow.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
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(pow.f32 (sqrt.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))) #s(literal 2 binary32))
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(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v))
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(.f32 #s(literal 1 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
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(.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
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(.f32 sinTheta_i (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)))
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(/.f32 sinTheta_i (*.f32 v cosTheta_O))
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(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.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_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.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_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.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_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.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_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))))
(expm1.f32 (log1p.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.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_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(pow.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(neg.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(log1p.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
(*.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1/2 binary32) v)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(/.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 1/2 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) v)
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1/2 binary32) v)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 #s(literal 1/2 binary32) v)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 #s(literal 1/2 binary32) v)
(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)

eval61.0ms (0.6%)

Compiler: Compiled 18001 to 2286 computations (87.3% saved)

prune123.0ms (1.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	500	12	512
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	506	14	520

Accuracy

99.9%

Counts

520 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
	90.0%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) (.f32 sinTheta_O (/.f32 (/.f32 sinTheta_i v) cosTheta_O))))))
	99.8%	(pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32))
	99.8%	(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
▶	94.0%	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
▶	99.9%	(.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (log.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))))
	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.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)))
▶	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓	4.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
	10.7%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.8%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	13.2%	(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
▶	10.7%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
▶	95.5%	(exp.f32 (*.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))

Compiler

Compiled 557 to 422 computations (24.2% saved)

localize306.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓	cost-diff	192	(exp.f32 (*.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))
✓	cost-diff	3200	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
✓	cost-diff	6400	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	91.8%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
✓	accuracy	91.0%	(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
	accuracy	75.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	accuracy	57.1%	(*.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))

Rules

1250×	`exp-sum`
886×	`exp-prod`
736×	`cancel-sign-sub-inv`
694×	`fma-define`
642×	`associate-/r*`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	45	1246
1	89	1230
2	182	1226
3	386	1184
4	706	1152
5	1171	1152
6	2202	1149
7	4613	1149
8	7623	1149

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

113.0ms	247×	0	valid
4.0ms	9×	0	unsamplable

Compiler

Compiled 335 to 40 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 15.0ms (23.6% of total)

ival-exp: 14.0ms (22% of total)

ival-mult: 9.0ms (14.1% of total)

ival-add: 7.0ms (11% of total)

ival-pow: 7.0ms (11% of total)

ival-log: 6.0ms (9.4% of total)

ival-fma: 3.0ms (4.7% of total)

ival-sqrt: 2.0ms (3.1% of total)

ival-sub: 1.0ms (1.6% of total)

const: 1.0ms (1.6% of total)

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

series122.0ms (1.1%)

Counts

5 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
37.0ms	v	@	0	(pow (exp (sqrt (log (/ 1/2 v)))) (sqrt (log (/ 1/2 v))))
20.0ms	v	@	inf	(pow (exp (sqrt (log (/ 1/2 v)))) (sqrt (log (/ 1/2 v))))
16.0ms	v	@	-inf	(pow (exp (sqrt (log (/ 1/2 v)))) (sqrt (log (/ 1/2 v))))
9.0ms	cosTheta_O	@	0	(exp (+ 6931/10000 (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v)))))
4.0ms	v	@	0	(* cosTheta_O (+ (/ (log (/ 1/2 v)) cosTheta_O) (+ (/ cosTheta_i v) (/ (+ 6931/10000 (/ -1 v)) cosTheta_O))))

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

396×	`associate-r`
256×	`associate-l`
248×	`log1p-expm1-u`
248×	`expm1-log1p-u`
246×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	283
1	563	283

Stop Event

1×	node limit

Counts

5 → 146

Calls

Call 1

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

Outputs
(+.f32 #s(literal 0 binary32) (*.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))
(+.f32 (.f32 cosTheta_O (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))
(+.f32 (.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 cosTheta_O (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))
(+.f32 (.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) cosTheta_O) (.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) cosTheta_O))
(+.f32 (.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) cosTheta_O) (.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) cosTheta_O))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))))
(+.f32 (.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 cosTheta_i v))) (.f32 cosTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))
(+.f32 (.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O) cosTheta_O))
(+.f32 (.f32 (.f32 cosTheta_O (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) #s(literal 1 binary32)) (.f32 (.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) cosTheta_O) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) cosTheta_O) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))) #s(literal 1 binary32))
(/.f32 (+.f32 (pow.f32 (.f32 cosTheta_O (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) #s(literal 3 binary32)) (pow.f32 (.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) #s(literal 3 binary32))) (+.f32 (.f32 (.f32 cosTheta_O (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (.f32 cosTheta_O (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (-.f32 (.f32 (.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))) (.f32 (.f32 cosTheta_O (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (*.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))))
(/.f32 (+.f32 (pow.f32 (.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) cosTheta_O) #s(literal 3 binary32)) (pow.f32 (.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) cosTheta_O) #s(literal 3 binary32))) (+.f32 (.f32 (.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) cosTheta_O) (.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) cosTheta_O)) (-.f32 (.f32 (.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) cosTheta_O) (.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) cosTheta_O)) (.f32 (.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) cosTheta_O) (*.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) cosTheta_O)))))
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(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (sqrt.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 (exp.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (/.f32 #s(literal 1/2 binary32) v)) (sqrt.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 2 binary32)) (sqrt.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) (sqrt.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) (cbrt.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #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 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #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_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v)))) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #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_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))) (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))) (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))))
(*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))
(*.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (pow.f32 (exp.f32 cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))
(*.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 cosTheta_i v))) (pow.f32 (exp.f32 cosTheta_O) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))
(.f32 (exp.f32 (.f32 cosTheta_O (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (exp.f32 (*.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))
(.f32 (exp.f32 (.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) cosTheta_O)) (exp.f32 (*.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) cosTheta_O)))
(pow.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))) #s(literal 1 binary32))
(pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))
(pow.f32 (exp.f32 cosTheta_O) (*.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))) cosTheta_O)
(pow.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 cosTheta_O) (pow.f32 (cbrt.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))
(pow.f32 (pow.f32 (exp.f32 cosTheta_O) (sqrt.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))) (sqrt.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))) #s(literal 2 binary32))) (cbrt.f32 (.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))) (sqrt.f32 (.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))))
(sqrt.f32 (pow.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))))
(cbrt.f32 (pow.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))))
(log1p.f32 (expm1.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))))

simplify217.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1074×	`associate-r`
958×	`fma-define`
884×	`associate-l`
746×	`times-frac`
574×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	753	28257
1	2143	23831

Stop Event

1×	node limit

Counts

302 → 345

Calls

Call 1

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

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

eval43.0ms (0.4%)

Compiler: Compiled 13733 to 1630 computations (88.1% saved)

prune79.0ms (0.7%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	358	4	362
Fresh	1	7	8
Picked	3	2	5
Done	0	1	1
Total	362	14	376

Accuracy

99.9%

Counts

376 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
▶	95.5%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))
	99.8%	(pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32))
	99.8%	(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
	94.0%	(/.f32 (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
▶	99.8%	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
▶	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.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)))
✓	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓	4.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
▶	10.7%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
▶	99.8%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	13.2%	(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
✓	10.7%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	95.5%	(exp.f32 (*.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))

Compiler

Compiled 483 to 381 computations (21.1% saved)

localize310.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	3200	(exp.f32 #s(literal 1 binary32))
✓	cost-diff	3200	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓	cost-diff	3200	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	6400	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	96.5%	(+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))
✓	accuracy	90.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
	accuracy	75.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	accuracy	55.5%	(*.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))

Rules

1298×	`exp-sum`
880×	`fma-define`
866×	`sub-neg`
786×	`exp-prod`
608×	`fma-neg`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	48	1112
1	94	1088
2	203	1080
3	410	1052
4	839	1036
5	1759	1018
6	4277	1000
7	7695	1000

Stop Event

1×	node limit

Calls

Call 1

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

128.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 315 to 40 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-div: 19.0ms (27.8% of total)

ival-pow: 14.0ms (20.4% of total)

ival-exp: 11.0ms (16.1% of total)

ival-mult: 9.0ms (13.1% of total)

ival-add: 7.0ms (10.2% of total)

ival-log: 4.0ms (5.8% of total)

ival-sub: 2.0ms (2.9% of total)

backward-pass: 1.0ms (1.5% of total)

const: 1.0ms (1.5% of total)

series18.0ms (0.2%)

Counts

5 → 68

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	v	@	inf	(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
3.0ms	v	@	inf	(/ (exp (+ 6931/10000 (log (/ 1/2 v)))) (exp (/ 1 v)))
1.0ms	v	@	-inf	(/ (exp (+ 6931/10000 (log (/ 1/2 v)))) (exp (/ 1 v)))
1.0ms	v	@	0	(/ (exp (+ 6931/10000 (log (/ 1/2 v)))) (exp (/ 1 v)))
1.0ms	v	@	-inf	(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))

rewrite221.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

413×	`log1p-expm1-u`
320×	`associate-r`
227×	`expm1-log1p-u`
222×	`add-exp-log`
222×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	172
1	489	172
2	7961	172

Stop Event

1×	node limit

Counts

5 → 198

Calls

Call 1

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

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

simplify354.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

628×	`distribute-lft-neg-in`
584×	`distribute-rgt-neg-in`
520×	`fma-neg`
514×	`cancel-sign-sub-inv`
472×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	568	19172
1	1491	17996
2	5204	16647

Stop Event

1×	node limit

Counts

266 → 288

Calls

Call 1

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

Outputs
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v))))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) (/.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))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(expm1.f32 (log1p.f32 (.f32 (.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(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 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 (-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v))) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) (/.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 (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 (E.f32) #s(literal 1 binary32))
(E.f32)
(*.f32 (cbrt.f32 (E.f32)) (cbrt.f32 (exp.f32 #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (cbrt.f32 (E.f32)))
(*.f32 (cbrt.f32 (E.f32)) (cbrt.f32 (exp.f32 #s(literal 2 binary32))))
(*.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)))
(fabs.f32 (E.f32))
(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)

eval43.0ms (0.4%)

Compiler: Compiled 11920 to 1592 computations (86.6% saved)

prune89.0ms (0.8%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	387	6	393
Fresh	2	4	6
Picked	1	4	5
Done	0	3	3
Total	390	17	407

Accuracy

100.0%

Counts

407 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(pow.f32 (pow.f32 (.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
	99.8%	(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
	99.8%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 cosTheta_O (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))
	99.8%	(pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32))
	99.8%	(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
	95.5%	(pow.f32 (E.f32) (*.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))))
	99.9%	(/.f32 (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
✓	99.8%	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
✓	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.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)))
✓	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓	4.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓	10.7%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.8%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	13.2%	(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
	10.7%	(exp.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v)))
✓	10.7%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	95.5%	(exp.f32 (*.f32 cosTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))

Compiler

Compiled 839 to 400 computations (52.3% saved)

regimes99.0ms (0.9%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

9 calls:

22.0ms	(*.f32 cosTheta_i cosTheta_O)
10.0ms	v
10.0ms	cosTheta_i
10.0ms	sinTheta_i
9.0ms	(+.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))))

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 78 computations (25.7% saved)

regimes62.0ms (0.6%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

9 calls:

9.0ms	(*.f32 cosTheta_i cosTheta_O)
7.0ms	cosTheta_O
7.0ms	v
7.0ms	(+.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))))
6.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	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)))))`
99.8%	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))))`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes128.0ms (1.2%)

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

111.0ms	cosTheta_O
4.0ms	sinTheta_O
4.0ms	cosTheta_i
4.0ms	v
4.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes21.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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:

6.0ms	cosTheta_O
4.0ms	v
4.0ms	cosTheta_i
4.0ms	sinTheta_O
3.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes16.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
13.2%	1	`cosTheta_i`
13.2%	1	`cosTheta_O`
13.2%	1	`sinTheta_i`
13.2%	1	`sinTheta_O`
13.2%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes9.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	sinTheta_O
2.0ms	v
2.0ms	cosTheta_i
2.0ms	sinTheta_i
2.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
10.7%	1	`cosTheta_i`
10.7%	1	`sinTheta_i`
10.7%	1	`sinTheta_O`
10.7%	1	`cosTheta_O`
10.7%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	sinTheta_i
1.0ms	cosTheta_O
1.0ms	cosTheta_i
1.0ms	v
1.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
10.7%	1	`sinTheta_i`
10.7%	1	`sinTheta_O`
10.7%	1	`v`
10.7%	1	`cosTheta_i`
10.7%	1	`cosTheta_O`

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative`
30×	`+-commutative`
22×	`sub-neg`
20×	`neg-sub0`
20×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	283
1	75	283
2	97	283
3	123	283
4	142	283
5	148	283
6	149	283

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.4s (12.4%)

Rules

1590×	`exp-diff`
1500×	`times-frac`
914×	`fma-neg`
910×	`associate-r`
776×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	172
1	489	172
2	7961	172
0	173	2130
1	485	1898
2	1448	1854
3	5747	1854
0	710	26973
1	1920	25859
2	6369	23612
0	698	31565
1	1792	29656
2	6593	28176
0	43	396
1	748	392

Stop Event

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

Compiler

Compiled 1235 to 381 computations (69.1% saved)

preprocess57.0ms (0.5%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 504 to 380 computations (24.6% saved)

analyze820.0ms (7.4%)

sample3.6s (32.3%)

preprocess119.0ms (1.1%)

explain378.0ms (3.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize253.0ms (2.3%)

series73.0ms (0.7%)

rewrite374.0ms (3.4%)

simplify340.0ms (3.1%)

eval192.0ms (1.7%)

prune181.0ms (1.6%)

localize323.0ms (2.9%)

series112.0ms (1%)

rewrite110.0ms (1%)

simplify331.0ms (3%)

eval61.0ms (0.6%)

prune123.0ms (1.1%)

localize306.0ms (2.8%)

series122.0ms (1.1%)

rewrite94.0ms (0.9%)

simplify217.0ms (2%)

eval43.0ms (0.4%)

prune79.0ms (0.7%)

localize310.0ms (2.8%)

series18.0ms (0.2%)

rewrite221.0ms (2%)

simplify354.0ms (3.2%)

eval43.0ms (0.4%)

prune89.0ms (0.8%)

regimes99.0ms (0.9%)

regimes62.0ms (0.6%)

regimes128.0ms (1.2%)

regimes21.0ms (0.2%)

regimes16.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

simplify8.0ms (0.1%)

soundness1.4s (12.4%)

preprocess57.0ms (0.5%)

end0.0ms (0%)

Profiling