Metrics for HairBSDF, Mp, lower

analyze1.0s (9.1%)

Memory

0.4MiB live, 600.3MiB allocated

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 65 to 44 computations (32.3% saved)

sample2.9s (25.4%)

Memory

62.1MiB live, 4 214.3MiB allocated

Samples

2.2s	8 256×	0	valid
34.0ms	148×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-<=: 433.0ms (23.3% of total)

const: 421.0ms (22.6% of total)

ival-mult: 296.0ms (15.9% of total)

ival-div: 252.0ms (13.5% of total)

ival-log: 112.0ms (6% of total)

ival-add: 105.0ms (5.6% of total)

ival-sub: 91.0ms (4.9% of total)

ival-exp: 80.0ms (4.3% of total)

ival-and: 54.0ms (2.9% of total)

exact: 16.0ms (0.9% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess270.0ms (2.4%)

Memory

9.1MiB live, 436.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 404×	`lower-fma.f64`
6 404×	`lower-fma.f32`
3 478×	`lower-*.f64`
3 472×	`lower-*.f32`
1 904×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	481
1	462	447
2	1368	440
3	4990	440
0	21	25
0	34	23
1	63	22
2	151	22
3	471	22
4	1717	22
5	5047	22
0	8134	19

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
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)))))

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)))))

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain285.0ms (2.5%)

Memory

-4.2MiB live, 473.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
98	6	(-3.0556297913941077e-18 -1.0405981926247483e-30 -1.8634909788906144e-37 6.348020073875542e-30 1.1628458502166168e-22)	33	(1.3891216515061184e-35 0.01871912181377411 5.5529680897012985e-33 1.7849758129906412e-12 3.3419705262709154e-13)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
93	6	(-5.8349611764083e-32 2.3239162711472814e-21 -9.689859530527173e-25 -2.7715488420213173e-31 1.0736874145322872e-7)	32	(1.0356526497827032e-26 7.170753766979184e-20 -3.4809886149499257e-28 0.003815706353634596 9.590738793419096e-12)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
4	3	(-8.293396262430044e-25 3.1297470286517637e-6 4.779509162188127e-36 3.963818710340009e-29 0.006437853444367647)	4	(-0.12400060892105103 1.9077960632348408e-31 -2.998111656805696e-15 7.908541985353346e-13 0.01312267780303955)	`(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	-	`(/.f32 #s(literal 1 binary32) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`
0	0	-	0	-	`#s(literal 2 binary32)`
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	-	`sinTheta_i`
0	0	-	0	-	`v`
0	0	-	0	-	`cosTheta_i`
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	-	`sinTheta_O`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) v)`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
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	-	`cosTheta_O`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	14	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	82
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	9	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	95
`exp.f32`	`(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)))))`	sensitivity	3	6

Confusion

	Predicted +	Predicted -
+	0	4
-	26	226

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	4	0
-	26	2	224

Precision?

0.125

Recall?

1.0

Freqs

test

number	freq
0	230
1	26

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

121.0ms

512×

valid

Compiler

Compiled 330 to 88 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-div: 53.0ms (57.9% of total)

ival-mult: 9.0ms (9.8% of total)

ival-log: 7.0ms (7.6% of total)

const: 7.0ms (7.6% of total)

ival-exp: 4.0ms (4.4% of total)

ival-add: 4.0ms (4.4% of total)

ival-sub: 4.0ms (4.4% of total)

ival-true: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(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)))))

Status

Accuracy

Program

▶

99.5%

(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)))))

Compiler

Compiled 30 to 21 computations (30% saved)

simplify232.0ms (2%)

Memory

0.2MiB live, 389.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
✓	cost-diff	160	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
✓	cost-diff	320	(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	2944	(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)))))

Rules

6 404×	`lower-fma.f64`
6 404×	`lower-fma.f32`
3 478×	`lower-*.f64`
3 472×	`lower-*.f32`
1 904×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	133
0	34	125
1	63	124
2	151	124
3	471	124
4	1717	124
5	5047	124
0	8134	113

Stop Event

1×	iter limit
1×	node limit
1×	iter 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)))))
(+.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))))
(+.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))
(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)

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

localize93.0ms (0.8%)

Memory

-12.3MiB live, 73.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
✓	accuracy	99.5%	(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)))))
✓	accuracy	77.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	74.3%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Samples

71.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 7.0ms (28.1% of total)

ival-mult: 5.0ms (20.1% of total)

const: 4.0ms (16% of total)

ival-log: 3.0ms (12% of total)

ival-exp: 2.0ms (8% of total)

ival-add: 2.0ms (8% of total)

ival-sub: 2.0ms (8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory

-5.1MiB live, 31.6MiB allocated

Counts

4 → 192

Calls

Call 1

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

Outputs
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))>
#<alt (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>

Calls

48 calls:

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

rewrite630.0ms (5.5%)

Memory

-118.4MiB live, 587.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 370×	`lower-fma.f64`
9 370×	`lower-fma.f32`
4 860×	`lower-/.f64`
4 852×	`lower-/.f32`
3 374×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
0	34	40
1	147	37
2	1507	37
0	8245	37

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 253

Calls

Call 1

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

Outputs
(neg.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (.f32 (log.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 (neg.f32 v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (neg.f32 (neg.f32 v)))
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(/.f32 (neg.f32 (neg.f32 (fma.f32 v (.f32 cosTheta_i cosTheta_O) (.f32 (neg.f32 v) (.f32 sinTheta_i sinTheta_O))))) (neg.f32 (neg.f32 (.f32 v v))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)))) (.f32 v (.f32 v v))))) (neg.f32 (neg.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O))) (.f32 v v)))) (neg.f32 (neg.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v))))
(/.f32 (neg.f32 (/.f32 (fma.f32 v (.f32 cosTheta_i cosTheta_O) (.f32 (neg.f32 v) (*.f32 sinTheta_i sinTheta_O))) v)) (neg.f32 v))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O))) (neg.f32 (.f32 v (.f32 v v)))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O))) (.f32 v (.f32 v v)))) (+.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)) (.f32 v v)) (-.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 v v)) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (/.f32 (.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 v v)) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 v v)) (.f32 (/.f32 (.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) v) (*.f32 v v))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O))) (.f32 v (.f32 v v))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O))) (.f32 v (.f32 v v))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) (/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O))) (.f32 v (.f32 v v))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) (fma.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O))) (.f32 v (.f32 v v))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))))))))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)) (.f32 v v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v)) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)))) (.f32 (.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)))) (fma.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)) (.f32 v v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v)) (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)) (.f32 v v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v)) (.f32 (.f32 (.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)))) (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)) (.f32 v v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v))))))
(.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v))
(.f32 (fma.f32 v (.f32 cosTheta_i cosTheta_O) (.f32 (neg.f32 v) (.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(.f32 (/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)))) (.f32 v (.f32 v v))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v)))))
(.f32 (/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)))) (.f32 v (.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (-.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)) (.f32 v v)) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))))
(.f32 (/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O))) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v)))
(.f32 (-.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) v) (/.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 sinTheta_i sinTheta_O)) (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))
(.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (.f32 v (neg.f32 (.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (.f32 v (neg.f32 v))))
(.f32 (-.f32 v (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) v)))
(.f32 (-.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (*.f32 v v)))
(.f32 (-.f32 (.f32 #s(literal 1 binary32) (neg.f32 v)) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))))
(.f32 (-.f32 (.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) v) (.f32 (neg.f32 v) (.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 v) v)))
(.f32 (fma.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 v (.f32 sinTheta_i sinTheta_O)) (neg.f32 (.f32 (neg.f32 v) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 v) (/.f32 v (.f32 sinTheta_i sinTheta_O)))))
(.f32 (-.f32 (.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 v)) (.f32 (neg.f32 v) (neg.f32 (.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(.f32 (neg.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal -1 binary32) v))
(.f32 (neg.f32 (fma.f32 v (.f32 cosTheta_i cosTheta_O) (.f32 (neg.f32 v) (.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 v v))))
(.f32 (neg.f32 (/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)))) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))))))
(.f32 (neg.f32 (/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O))) (.f32 v v))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v))))
(.f32 (/.f32 (fma.f32 v (.f32 cosTheta_i cosTheta_O) (.f32 (neg.f32 v) (.f32 sinTheta_i sinTheta_O))) v) (/.f32 #s(literal 1 binary32) v))

simplify351.0ms (3.1%)

Memory

-3.8MiB live, 539.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 580×	`lower-fma.f64`
7 580×	`lower-fma.f32`
6 914×	`lower-*.f64`
6 914×	`lower-*.f32`
3 806×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	3112
1	734	3068
2	2671	2783
0	8100	2671

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

simplify66.0ms (0.6%)

Memory

16.4MiB live, 93.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	599	5411
1	600	5411
0	600	5411

Stop Event

1×	saturated
1×	saturated

Counts

253 → 0

Calls

Call 1

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

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

eval50.0ms (0.4%)

Memory: 8.6MiB live, 55.5MiB allocated
Compiler: Compiled 10 079 to 216 computations (97.9% saved)

prune33.0ms (0.3%)

Memory

-24.8MiB live, 13.1MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	381	3	384
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	382	3	385

Accuracy

99.7%

Counts

385 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.7%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
▶	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
▶	99.5%	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))

Status

Accuracy

Program

▶

4.7%

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

▶

99.6%

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

▶

99.5%

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

Compiler

Compiled 52 to 43 computations (17.3% saved)

simplify279.0ms (2.4%)

Memory

5.1MiB live, 236.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
✓	cost-diff	64	(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	96	(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	64	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	cost-diff	128	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	2944	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))

Rules

2 750×	`lower-*.f64`
2 742×	`lower-*.f32`
2 736×	`lower-fma.f64`
2 732×	`lower-fma.f32`
2 234×	`lower-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	140
0	45	140
1	73	137
2	127	133
3	263	133
4	548	130
5	992	130
6	1097	130
7	1300	130
8	1723	130
9	2331	130
10	3854	130
11	6187	130
0	8148	130

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize134.0ms (1.2%)

Memory

19.8MiB live, 136.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) v)
✓	accuracy	100.0%	(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	98.9%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
✓	accuracy	100.0%	(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	100.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.6%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))
✓	accuracy	100.0%	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	accuracy	99.8%	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	accuracy	99.5%	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))

Samples

63.0ms

256×

valid

Compiler

Compiled 152 to 30 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-add: 20.0ms (41.1% of total)

ival-mult: 8.0ms (16.4% of total)

ival-div: 7.0ms (14.4% of total)

ival-exp: 6.0ms (12.3% of total)

const: 4.0ms (8.2% of total)

ival-log: 3.0ms (6.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series133.0ms (1.2%)

Memory

-21.7MiB live, 150.8MiB allocated

Counts

12 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
29.0ms	v	@	0	(log (/ 1/2 v))
29.0ms	sinTheta_i	@	inf	(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
20.0ms	v	@	inf	(+ (log (/ 1/2 v)) (+ 6931/10000 (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
9.0ms	v	@	-inf	(log (/ 1/2 v))
7.0ms	v	@	inf	(log (/ 1/2 v))

rewrite375.0ms (3.3%)

Memory

21.5MiB live, 650.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 016×	`lower-fma.f64`
5 012×	`lower-fma.f32`
4 002×	`lower-*.f64`
3 994×	`lower-*.f32`
3 986×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	100
0	45	100
1	160	93
2	1133	93
0	8425	93

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

12 → 511

Calls

Call 1

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

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

simplify391.0ms (3.4%)

Memory

-12.4MiB live, 679.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 072×	`lower-fma.f64`
12 072×	`lower-fma.f32`
6 588×	`lower-*.f64`
6 588×	`lower-*.f32`
4 652×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	414	4325
1	1237	4095
2	4221	3894
0	8273	3682

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

Outputs
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v))
(.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (fma.f32 (/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v))))
(fma.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (fma.f32 (/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (.f32 v (.f32 v v))) #s(literal 1/6 binary32) (.f32 (/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (.f32 v v)) #s(literal 1/2 binary32))) (.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal -1 binary32) v))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v))
(.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal -1 binary32) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v))) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal -1 binary32) v)) (fma.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal -1/2 binary32) (neg.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (neg.f32 v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)))) v))) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (fma.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal -1 binary32) v)) (/.f32 (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal -1 binary32) v)) (fma.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 1/6 binary32) (.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) #s(literal 1/2 binary32)))) v)) v))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v))
(fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v))))
(fma.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i (.f32 v v)))) (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i (.f32 v v)))) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (.f32 v (.f32 v v)))) (.f32 cosTheta_i (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v))
(fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v))))
(fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) (.f32 cosTheta_O (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O cosTheta_O)) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (.f32 v (.f32 v v)))) (.f32 cosTheta_O (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
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(exp (- 6931/10000 (/ 1 v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
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(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
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6931/10000
#s(literal 6931/10000 binary32)
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6931/10000
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simplify137.0ms (1.2%)

Memory

-13.0MiB live, 221.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1277	16018
1	1278	16018
0	1278	16018

Stop Event

1×	saturated
1×	saturated

Counts

511 → 0

Calls

Call 1

Inputs
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(pow.f32 (exp.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 (.f32 v #s(literal 2 binary32)))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)))))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal -6931/10000 binary32))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (-.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 (-.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal -6931/10000 binary32)))))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 #s(literal 1/2 binary32)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (log.f32 (.f32 v #s(literal 2 binary32))))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (-.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal -6931/10000 binary32))) (neg.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 (-.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal -6931/10000 binary32)))))
(+.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
(+.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v)))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 (*.f32 v #s(literal 2 binary32))))) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(fma.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (neg.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal -6931/10000 binary32))) (neg.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 (-.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal -6931/10000 binary32)))))
(fma.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal -6931/10000 binary32)) #s(literal 48038761/100000000 binary32))) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (.f32 v v)) (+.f32 #s(literal 48038761/100000000 binary32) (.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal -6931/10000 binary32))))) (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i (neg.f32 cosTheta_O)))))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i (neg.f32 cosTheta_O)))) v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (.f32 v v))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i (neg.f32 cosTheta_O)))) (neg.f32 v))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (neg.f32 v))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (neg.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal -6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
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(fma.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(fma.f32 (+.f32 (/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (.f32 v v)) #s(literal -48038761/100000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal -6931/10000 binary32))) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal -6931/10000 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(fma.f32 (.f32 (log.f32 (.f32 #s(literal 1/2 binary32) v)) (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(fma.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)) v) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i (neg.f32 cosTheta_O))))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)) v) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i (neg.f32 cosTheta_O))))) #s(literal 1 binary32)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (pow.f32 (/.f32 v (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i (neg.f32 cosTheta_O))))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (pow.f32 (/.f32 v (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (pow.f32 (/.f32 v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) #s(literal -1/2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 (*.f32 v #s(literal 2 binary32))))
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(/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32)) (.f32 (neg.f32 v) (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)))))
(/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)) (neg.f32 v)))
(/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) (*.f32 (neg.f32 v) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))))
(/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(/.f32 (.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32)) #s(literal -1 binary32)) (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(/.f32 (.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)) v))
(/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32))) (.f32 v (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)))))
(/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) (neg.f32 v))))
(/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32))) (neg.f32 (.f32 (neg.f32 v) (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))))))
(/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))))
(/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) (neg.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)) (neg.f32 v))))
(/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) (neg.f32 (*.f32 (neg.f32 v) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)))))
(/.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32))) (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))))
(/.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)))
(/.f32 (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32)) (neg.f32 v)) (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) (neg.f32 v)) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32)) #s(literal -1 binary32))) (neg.f32 (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) #s(literal -1 binary32))) (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)) v)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32)))) (neg.f32 (.f32 v (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)))) (neg.f32 (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)))))
(/.f32 (neg.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)))) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))))
(/.f32 (neg.f32 (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32)) (neg.f32 v))) (neg.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))
(/.f32 (neg.f32 (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) (neg.f32 v))) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)) #s(literal 3 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i)) (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i))) (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i))))))
(/.f32 (+.f32 (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v)))) (fma.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i)) (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O sinTheta_i)) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)) #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v)))) (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i)) (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i)))) (-.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i)) (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i))) (/.f32 (/.f32 #s(literal 1 binary32) v) v)) (-.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O sinTheta_i)) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (/.f32 (/.f32 #s(literal 1 binary32) v) v)) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))
(*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 v)))
(*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v))))
(.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 v) (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
(.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)) (neg.f32 v))))
(.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 v) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)))))
(*.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(.f32 (.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)) v)))
(.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
(.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)))))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))))
(.f32 (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)))))
(.f32 (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))))
(.f32 (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)))) v))
(.f32 (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))
(.f32 (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)))) #s(literal -1 binary32)))
(.f32 (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) v) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal -1 binary32))
(*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(pow.f32 (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))) v)
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 #s(literal 6931/10000 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 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1 binary32)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1/2 binary32))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(exp.f32 #s(literal 6931/10000 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
(.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
(.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1 binary32))
(neg.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (neg.f32 (log.f32 v)))
(pow.f32 v #s(literal -1 binary32))
(pow.f32 (*.f32 v v) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 2 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) (neg.f32 v))
(/.f32 #s(literal 1 binary32) v)
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)))

Outputs
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 (*.f32 v #s(literal 2 binary32)))))
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eval45.0ms (0.4%)

Memory: 29.5MiB live, 66.1MiB allocated
Compiler: Compiled 9 645 to 367 computations (96.2% saved)

prune36.0ms (0.3%)

Memory

-9.6MiB live, 27.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	570	6	576
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	573	6	579

Accuracy

99.7%

Counts

579 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.7%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
▶	99.6%	(*.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)))
▶	96.9%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
▶	15.0%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.5%	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))

Compiler

Compiled 152 to 128 computations (15.8% saved)

simplify214.0ms (1.9%)

Memory

20.2MiB live, 141.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
✓	cost-diff	(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
✓	cost-diff	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	cost-diff	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
✓	cost-diff	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
✓	cost-diff	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓	cost-diff	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	cost-diff	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	cost-diff	(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))

Rules

1 312×	`lower-fma.f64`
1 310×	`lower-fma.f32`
1 248×	`lower-*.f64`
1 240×	`lower-*.f32`
808×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	98
0	37	98
1	54	98
2	75	98
3	113	98
4	169	98
5	217	98
6	279	98
7	421	98
8	600	98
9	697	98
10	740	98
11	766	98
12	804	98
13	886	98
14	894	98
15	962	98
16	1135	98
17	1333	98
18	1588	98
19	1999	98
20	3443	98
21	4039	98
22	4268	98
23	4519	98
24	4748	98
25	4794	98
26	4815	98
27	4831	98
28	4863	98
29	4863	98
30	4863	98
31	4863	98
0	4863	98

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize83.0ms (0.7%)

Memory

-43.5MiB live, 164.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
✓	accuracy	100.0%	(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
✓	accuracy	99.6%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	accuracy	100.0%	(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	98.9%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	98.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.9%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	accuracy	77.3%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	100.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.8%	(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.6%	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))

Samples

47.0ms

256×

valid

Compiler

Compiled 103 to 26 computations (74.8% saved)

Precisions

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

ival-exp: 12.0ms (36% of total)

ival-div: 9.0ms (27% of total)

ival-mult: 5.0ms (15% of total)

const: 4.0ms (12% of total)

ival-add: 1.0ms (3% of total)

ival-sub: 1.0ms (3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

14 → 264

Calls

Call 1

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

Outputs
#<alt (exp (- 6931/10000 (/ 1 v)))>
#<alt (exp (- 6931/10000 (/ 1 v)))>
#<alt (exp (- 6931/10000 (/ 1 v)))>
#<alt (exp (- 6931/10000 (/ 1 v)))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v)))>
#<alt (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))>
#<alt (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2))))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1/2 (/ (exp 6931/10000) v))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (+ (* -1/6 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v))) v)))>
#<alt (/ -1 v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt 6931/10000>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt 6931/10000>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (/ (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v)>
#<alt (/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)>
#<alt (/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/12 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/4 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (exp 6931/10000)) (* 1/12 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2))) (/ cosTheta_i v))))>
#<alt (+ 1 (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (pow cosTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))) (/ cosTheta_i v))))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2))) (/ cosTheta_O v))))>
#<alt (+ 1 (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) cosTheta_i) (pow v 3))) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2))))) (/ cosTheta_O v))))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (+ 1 (+ (* 1/6 (/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) v))) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) v)) (* 1/2 (* (pow cosTheta_O 2) (pow cosTheta_i 2)))) v))) v)))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (exp (/ -1 v))>
#<alt (+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))>
#<alt (+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))>
#<alt (+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ -1 v))>
#<alt (+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))>
#<alt (+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))>
#<alt (+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v))))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt 1>
#<alt (- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt 1>
#<alt (- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))>
#<alt (/ -1 v)>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))>
#<alt (* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))>
#<alt (* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))>
#<alt (/ -1 v)>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))>
#<alt (* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))>
#<alt (* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt -1>
#<alt (- (* cosTheta_O cosTheta_i) 1)>
#<alt (- (* cosTheta_O cosTheta_i) 1)>
#<alt (- (* cosTheta_O cosTheta_i) 1)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))>
#<alt (* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))>
#<alt (* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O))))>
#<alt -1>
#<alt (- (* cosTheta_O cosTheta_i) 1)>
#<alt (- (* cosTheta_O cosTheta_i) 1)>
#<alt (- (* cosTheta_O cosTheta_i) 1)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i)))>
#<alt (* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i)))>
#<alt (* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i)))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))>

Calls

66 calls:

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

rewrite235.0ms (2.1%)

Memory

3.4MiB live, 394.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 366×	`lower-fma.f64`
3 364×	`lower-fma.f32`
3 140×	`lower-*.f64`
3 132×	`lower-*.f32`
2 190×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	73
0	37	73
1	109	73
2	633	73
3	5331	73
0	8707	73

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

14 → 872

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 (exp.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v))))))
(exp.f32 (.f32 (log.f32 (exp.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal -1 binary32)))
(pow.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (*.f32 v v)))))
(pow.f32 (exp.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (*.f32 v v)))))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) #s(literal 110860132438012536505081/1000000000000000000000000 binary32)))) (fma.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v)) (-.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) #s(literal 2307722558415121/10000000000000000 binary32)))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))) #s(literal 2307722558415121/10000000000000000 binary32)))) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (*.f32 v v))))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v)))))) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v))))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v))))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v))) (.f32 v (*.f32 v v))))))
(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 v v)))))
(/.f32 (*.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))
(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(+.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v)))) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v))) (.f32 v (*.f32 v v))))))
(+.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 v v)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v)))) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v))) (.f32 v (*.f32 v v))))))
(fma.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 v v)))))
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -1 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))))
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(/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))))) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (-.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)))
(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))))) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal 1 binary32))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal 1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (neg.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32))) #s(literal 1 binary32)) (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal -1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)))) (neg.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32))) (neg.f32 (neg.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))) (fma.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal 1 binary32)))
(*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 1 binary32))
(.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))
(.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) #s(literal 1 binary32)))
(.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))))
(*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)))))
(.f32 (neg.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal -1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal -1 binary32)))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))))
(.f32 (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32))) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(.f32 (/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal -1 binary32)) (fma.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))))))) (fma.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)))))))
(.f32 (/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal -1 binary32))))) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal -1 binary32))))
(.f32 (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32))) (fma.f32 (neg.f32 (.f32 cosTheta_O cosTheta_i)) (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)))
(expm1.f32 (.f32 (log.f32 (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)))
(expm1.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))

simplify665.0ms (5.8%)

Memory

17.1MiB live, 447.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 516×	`lower-fma.f64`
10 516×	`lower-fma.f32`
6 310×	`lower-*.f64`
6 310×	`lower-*.f32`
3 304×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	264	2016
1	738	1992
2	2197	1934
3	5203	1922
0	8562	1792

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

simplify156.0ms (1.4%)

Memory

3.7MiB live, 158.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1430	13131
1	1431	13131
0	1431	13131

Stop Event

1×	saturated
1×	saturated

Counts

872 → 0

Calls

Call 1

Inputs
(neg.f32 (/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 (exp.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v))))))
(exp.f32 (.f32 (log.f32 (exp.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal -1 binary32)))
(pow.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (*.f32 v v)))))
(pow.f32 (exp.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (*.f32 v v)))))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) #s(literal 110860132438012536505081/1000000000000000000000000 binary32)))) (fma.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v)) (-.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) #s(literal 2307722558415121/10000000000000000 binary32)))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))) #s(literal 2307722558415121/10000000000000000 binary32)))) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (*.f32 v v))))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v)))))) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v))))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v))))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v))) (.f32 v (*.f32 v v))))))
(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 v v)))))
(/.f32 (*.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))
(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(+.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v)))) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v))) (.f32 v (*.f32 v v))))))
(+.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 v v)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v)))) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (.f32 v v))) (.f32 v (*.f32 v v))))))
(fma.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 v v)))))
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -1 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))
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(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32)) (neg.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32))) (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal -1 binary32)))
(/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))))) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (-.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)))
(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))))) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal 1 binary32))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal 1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (neg.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32))) #s(literal 1 binary32)) (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal -1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)))) (neg.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32))) (neg.f32 (neg.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))) (fma.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal 1 binary32)))
(*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 1 binary32))
(.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))
(.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) #s(literal 1 binary32)))
(.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)))))
(*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)))))
(.f32 (neg.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal -1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal -1 binary32)))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))))
(.f32 (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32))) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(.f32 (/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal -1 binary32)) (fma.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))))))) (fma.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)))))))
(.f32 (/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal -1 binary32))))) (fma.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal -1 binary32))))
(.f32 (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) #s(literal 1 binary32))) (fma.f32 (neg.f32 (.f32 cosTheta_O cosTheta_i)) (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)))
(expm1.f32 (.f32 (log.f32 (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)))
(expm1.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))

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

eval62.0ms (0.5%)

Memory: 16.7MiB live, 54.1MiB allocated
Compiler: Compiled 4 685 to 169 computations (96.4% saved)

prune48.0ms (0.4%)

Memory

-18.9MiB live, 17.8MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	547	5	552
Fresh	0	1	1
Picked	4	1	5
Done	0	0	0
Total	551	7	558

Accuracy

99.7%

Counts

558 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.3%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
▶	6.2%	(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)))) v)) v))
	97.2%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓	99.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
▶	96.9%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
▶	99.5%	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
▶	6.5%	#s(literal 1 binary32)

Compiler

Compiled 171 to 137 computations (19.9% saved)

simplify242.0ms (2.1%)

Memory

12.1MiB live, 213.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal -1 binary32) v)
✓	cost-diff	0	(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)))) v)
✓	cost-diff	0	(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)))) v)) v)
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)))) v)) v))
✓	cost-diff	160	(fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)))) v))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	64	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	128	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	2944	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))

Rules

3 678×	`lower-fma.f64`
3 674×	`lower-fma.f32`
3 008×	`lower-*.f64`
3 000×	`lower-*.f32`
2 796×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	151
0	45	151
1	72	147
2	134	147
3	278	147
4	545	147
5	797	147
6	1082	147
7	1479	147
8	2486	147
9	3775	147
10	6972	147
0	8384	143

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize199.0ms (1.7%)

Memory

-19.7MiB live, 136.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 #s(literal -1 binary32) v)
✓	accuracy	99.6%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓	accuracy	99.9%	(fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)))) v))
✓	accuracy	99.7%	(.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)))
✓	accuracy	85.3%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)))) v)
✓	accuracy	77.3%	(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)))) v)) v)
✓	accuracy	100.0%	(/.f32 cosTheta_i v)
✓	accuracy	99.9%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
✓	accuracy	100.0%	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.8%	(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.8%	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.5%	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))

Samples

122.0ms

256×

valid

Compiler

Compiled 157 to 31 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 34.0ms (56% of total)

ival-div: 11.0ms (18.1% of total)

ival-exp: 4.0ms (6.6% of total)

ival-add: 4.0ms (6.6% of total)

const: 4.0ms (6.6% of total)

ival-log: 3.0ms (4.9% of total)

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

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

33.4MiB live, 33.4MiB allocated

Counts

12 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
1.0ms	cosTheta_O	@	0	(/ (+ (* cosTheta_O cosTheta_i) (/ (* cosTheta_i (* cosTheta_i (* 1/2 (* cosTheta_O cosTheta_O)))) v)) v)
1.0ms	v	@	0	(/ (+ (* cosTheta_O cosTheta_i) (/ (* cosTheta_i (* cosTheta_i (* 1/2 (* cosTheta_O cosTheta_O)))) v)) v)
1.0ms	cosTheta_i	@	0	(/ (+ (* cosTheta_O cosTheta_i) (/ (* cosTheta_i (* cosTheta_i (* 1/2 (* cosTheta_O cosTheta_O)))) v)) v)
1.0ms	v	@	inf	(/ (+ (* cosTheta_O cosTheta_i) (/ (* cosTheta_i (* cosTheta_i (* 1/2 (* cosTheta_O cosTheta_O)))) v)) v)
1.0ms	cosTheta_O	@	inf	(/ (+ (* cosTheta_O cosTheta_i) (/ (* cosTheta_i (* cosTheta_i (* 1/2 (* cosTheta_O cosTheta_O)))) v)) v)

rewrite411.0ms (3.6%)

Memory

-58.8MiB live, 488.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 600×	`lower-fma.f64`
5 596×	`lower-fma.f32`
4 168×	`lower-*.f64`
4 160×	`lower-*.f32`
3 918×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	94
0	43	94
1	158	87
2	1089	87
0	8419	87

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

12 → 533

Calls

Call 1

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

Outputs
(neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal -1/2 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(pow.f32 (exp.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.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))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32)))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)))))
(pow.f32 (exp.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) (/.f32 #s(literal -1 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(/.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 (exp.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (neg.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) (exp.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 (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 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (/.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.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))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32))) (neg.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32)))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.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))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32)))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) (neg.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (neg.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(+.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v)))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(fma.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32))) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (+.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)))) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (+.f32 #s(literal -48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -6931/10000 binary32))) (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 6931/10000 binary32))))) (/.f32 #s(literal -1 binary32) v))
(fma.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal -6931/10000 binary32))) (/.f32 #s(literal -1 binary32) v))
(fma.f32 (.f32 (log.f32 (.f32 #s(literal 1/2 binary32) v)) (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (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 (/.f32 #s(literal 1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (*.f32 v #s(literal 2 binary32))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (neg.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) v)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v))) (+.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) v)))))
(-.f32 (/.f32 (.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 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32))))) (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32))))))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.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 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32)))))) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.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))) (pow.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) v))) (+.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32)))) (-.f32 (.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))) (pow.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)))))
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(.f32 (neg.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)))) #s(literal 1/8 binary32)) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 cosTheta_i (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) cosTheta_i)) (.f32 cosTheta_O cosTheta_O)) v) (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (/.f32 cosTheta_i v) (neg.f32 (.f32 cosTheta_O cosTheta_i))))))))
(.f32 (.f32 (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (/.f32 cosTheta_i v) cosTheta_O)) (neg.f32 (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 (.f32 (*.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v)))))))
(.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))) #s(literal 1/4 binary32)) (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (/.f32 cosTheta_i v) (neg.f32 (*.f32 cosTheta_O cosTheta_i)))))
(.f32 (/.f32 (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (/.f32 cosTheta_i v) cosTheta_O)) cosTheta_i) (/.f32 (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v)))) (+.f32 cosTheta_O (.f32 (.f32 (*.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v)))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (*.f32 (log.f32 (neg.f32 v)) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (neg.f32 v) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) (neg.f32 v))
(/.f32 #s(literal -1 binary32) v)
(/.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (+.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1 binary32))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (neg.f32 (pow.f32 v #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (neg.f32 v) #s(literal -1/2 binary32)) (pow.f32 (neg.f32 v) #s(literal -1/2 binary32)))
(*.f32 (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))

simplify336.0ms (2.9%)

Memory

33.5MiB live, 546.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 636×	`lower-fma.f64`
9 636×	`lower-fma.f32`
4 122×	`lower-*.f64`
4 122×	`lower-*.f32`
2 284×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	2529
1	484	2480
2	1180	2354
3	3065	2237
4	6803	2237
0	8221	2152

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

simplify159.0ms (1.4%)

Memory

6.0MiB live, 283.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1213	14907
1	1214	14907
0	1214	14907

Stop Event

1×	saturated
1×	saturated

Counts

533 → 0

Calls

Call 1

Inputs
(neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal -1/2 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(pow.f32 (exp.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.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))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32)))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)))))
(pow.f32 (exp.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) (/.f32 #s(literal -1 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(/.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 (exp.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (neg.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) (exp.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 (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 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (/.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.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))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32))) (neg.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32)))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.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))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32)))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) (neg.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (neg.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(+.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v)))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(fma.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32))) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (+.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)))) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (+.f32 #s(literal -48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -6931/10000 binary32))) (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 6931/10000 binary32))))) (/.f32 #s(literal -1 binary32) v))
(fma.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal -6931/10000 binary32))) (/.f32 #s(literal -1 binary32) v))
(fma.f32 (.f32 (log.f32 (.f32 #s(literal 1/2 binary32) v)) (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (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 (/.f32 #s(literal 1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (*.f32 v #s(literal 2 binary32))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (neg.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) v)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v))) (+.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) v)))))
(-.f32 (/.f32 (.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 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32))))) (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32))))))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.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 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32)))))) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.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))) (pow.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) v))) (+.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32)))) (-.f32 (.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))) (pow.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)) (+.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 v v)))))
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(.f32 (.f32 (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (/.f32 cosTheta_i v) cosTheta_O)) (neg.f32 (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 (.f32 (*.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v)))))))
(.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))) #s(literal 1/4 binary32)) (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (/.f32 cosTheta_i v) (neg.f32 (*.f32 cosTheta_O cosTheta_i)))))
(.f32 (/.f32 (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (/.f32 cosTheta_i v) cosTheta_O)) cosTheta_i) (/.f32 (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v)))) (+.f32 cosTheta_O (.f32 (.f32 (*.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v)))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (*.f32 (log.f32 (neg.f32 v)) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (neg.f32 v) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) (neg.f32 v))
(/.f32 #s(literal -1 binary32) v)
(/.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (+.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1 binary32))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (neg.f32 (pow.f32 v #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (neg.f32 v) #s(literal -1/2 binary32)) (pow.f32 (neg.f32 v) #s(literal -1/2 binary32)))
(*.f32 (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))

Outputs
(neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal -1/2 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(pow.f32 (exp.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.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))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32)))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)))))
(pow.f32 (exp.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) (/.f32 #s(literal -1 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(/.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 (exp.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (neg.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) (exp.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 (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 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (/.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.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))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32))) (neg.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32)))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.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))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32)))) (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) (neg.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (neg.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(+.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v)))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(fma.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32))) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (+.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)))) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(fma.f32 (+.f32 #s(literal -48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -6931/10000 binary32))) (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))))
(fma.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 6931/10000 binary32))))) (/.f32 #s(literal -1 binary32) v))
(fma.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal -6931/10000 binary32))) (/.f32 #s(literal -1 binary32) v))
(fma.f32 (.f32 (log.f32 (.f32 #s(literal 1/2 binary32) v)) (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (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 (/.f32 #s(literal 1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (*.f32 v #s(literal 2 binary32))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (neg.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) v)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v))) (+.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) v)))))
(-.f32 (/.f32 (.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 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32))))) (/.f32 (pow.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (.f32 v #s(literal 2 binary32))))))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))) #s(literal 1 binary32)))
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(.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)))) #s(literal 1/8 binary32)) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))) #s(literal 1/4 binary32)) (.f32 v v)) (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v)))))))
(.f32 (.f32 (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (/.f32 cosTheta_i v) cosTheta_O)) (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v))))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 (.f32 (*.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v))))))
(.f32 (neg.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)))) #s(literal 1/8 binary32)) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 cosTheta_i (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) cosTheta_i)) (.f32 cosTheta_O cosTheta_O)) v) (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (/.f32 cosTheta_i v) (neg.f32 (.f32 cosTheta_O cosTheta_i))))))))
(.f32 (.f32 (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (/.f32 cosTheta_i v) cosTheta_O)) (neg.f32 (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 (.f32 (*.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v)))))))
(.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))) #s(literal 1/4 binary32)) (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (/.f32 cosTheta_i v) (neg.f32 (*.f32 cosTheta_O cosTheta_i)))))
(.f32 (/.f32 (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (/.f32 cosTheta_i v) cosTheta_O)) cosTheta_i) (/.f32 (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v)))) (+.f32 cosTheta_O (.f32 (.f32 (*.f32 cosTheta_O cosTheta_O) #s(literal -1/2 binary32)) (/.f32 cosTheta_i v)))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (*.f32 (log.f32 (neg.f32 v)) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (neg.f32 v) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) (neg.f32 v))
(/.f32 #s(literal -1 binary32) v)
(/.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (+.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1 binary32))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (neg.f32 (pow.f32 v #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (neg.f32 v) #s(literal -1/2 binary32)) (pow.f32 (neg.f32 v) #s(literal -1/2 binary32)))
(*.f32 (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))

eval31.0ms (0.3%)

Memory: -13.9MiB live, 97.4MiB allocated
Compiler: Compiled 6 289 to 109 computations (98.3% saved)

prune13.0ms (0.1%)

Memory

-5.8MiB live, 37.9MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	526	2	528
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	527	8	535

Accuracy

99.7%

Counts

535 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.3%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
	37.6%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	6.3%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	97.2%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓	99.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
✓	96.9%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓	99.5%	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
✓	6.5%	#s(literal 1 binary32)

Compiler

Compiled 254 to 139 computations (45.3% saved)

regimes57.0ms (0.5%)

Memory

7.5MiB live, 171.2MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

9 calls:

10.0ms	cosTheta_O
7.0ms	(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)))))
6.0ms	(*.f32 cosTheta_i cosTheta_O)
6.0ms	sinTheta_O
6.0ms	(+.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
99.6%	1	`cosTheta_i`
99.6%	1	`cosTheta_O`
99.6%	1	`sinTheta_i`
99.6%	1	`sinTheta_O`
99.6%	1	`v`
99.6%	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)))))`
99.6%	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))))`
99.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes82.0ms (0.7%)

Memory

-13.8MiB live, 104.5MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

9 calls:

28.0ms	v
24.0ms	cosTheta_i
5.0ms	(*.f32 cosTheta_i cosTheta_O)
4.0ms	(+.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))))
4.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
97.2%	1	`cosTheta_i`
97.2%	1	`cosTheta_O`
97.2%	1	`sinTheta_i`
97.2%	1	`sinTheta_O`
97.2%	1	`v`
97.2%	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)))))`
97.2%	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))))`
97.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
97.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes37.0ms (0.3%)

Memory

12.0MiB live, 92.4MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

9 calls:

5.0ms	sinTheta_O
4.0ms	v
4.0ms	(+.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))))
4.0ms	cosTheta_i
4.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
96.9%	1	`sinTheta_i`
96.9%	1	`v`
96.9%	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)))))`
96.9%	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))))`
96.9%	1	`cosTheta_i`
96.9%	1	`sinTheta_O`
96.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
96.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
96.9%	1	`cosTheta_O`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes22.0ms (0.2%)

Memory

21.2MiB live, 60.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)))) v)) v))

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

Calls

9 calls:

4.0ms	v
3.0ms	(+.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))))
2.0ms	sinTheta_i
2.0ms	cosTheta_O
2.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
37.6%	1	`cosTheta_i`
37.6%	1	`cosTheta_O`
37.6%	1	`sinTheta_i`
37.6%	1	`sinTheta_O`
37.6%	1	`v`
37.6%	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)))))`
37.6%	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))))`
37.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
37.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes15.0ms (0.1%)

Memory

-36.7MiB live, 42.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

9 calls:

2.0ms	(*.f32 cosTheta_i cosTheta_O)
2.0ms	(+.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))))
1.0ms	cosTheta_O
1.0ms	cosTheta_i
1.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
6.5%	1	`sinTheta_O`
6.5%	1	`sinTheta_i`
6.5%	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)))))`
6.5%	1	`v`
6.5%	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))))`
6.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
6.5%	1	`cosTheta_i`
6.5%	1	`cosTheta_O`
6.5%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

simplify6.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	25	28
2	32	28
3	38	28
4	45	28
5	46	28

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness730.0ms (6.4%)

Memory

8.3MiB live, 719.3MiB allocated

Rules

12 072×	`lower-fma.f64`
12 072×	`lower-fma.f32`
10 516×	`lower-fma.f64`
10 516×	`lower-fma.f32`
9 636×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	2529
1	484	2480
2	1180	2354
3	3065	2237
4	6803	2237
0	8221	2152
0	264	2016
1	738	1992
2	2197	1934
3	5203	1922
0	8562	1792
0	414	4325
1	1237	4095
2	4221	3894
0	8273	3682
0	232	3112
1	734	3068
2	2671	2783
0	8100	2671

Stop Event

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

Compiler

Compiled 241 to 184 computations (23.7% saved)

preprocess82.0ms (0.7%)

Memory

-19.0MiB live, 138.6MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 246 to 182 computations (26% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0s (9.1%)

sample2.9s (25.4%)

preprocess270.0ms (2.4%)

explain285.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify232.0ms (2%)

localize93.0ms (0.8%)

series28.0ms (0.2%)

rewrite630.0ms (5.5%)

simplify351.0ms (3.1%)

simplify66.0ms (0.6%)

eval50.0ms (0.4%)

prune33.0ms (0.3%)

simplify279.0ms (2.4%)

localize134.0ms (1.2%)

series133.0ms (1.2%)

rewrite375.0ms (3.3%)

simplify391.0ms (3.4%)

simplify137.0ms (1.2%)

eval45.0ms (0.4%)

prune36.0ms (0.3%)

simplify214.0ms (1.9%)

localize83.0ms (0.7%)

series11.0ms (0.1%)

rewrite235.0ms (2.1%)

simplify665.0ms (5.8%)

simplify156.0ms (1.4%)

eval62.0ms (0.5%)

prune48.0ms (0.4%)

simplify242.0ms (2.1%)

localize199.0ms (1.7%)

series17.0ms (0.1%)

rewrite411.0ms (3.6%)

simplify336.0ms (2.9%)

simplify159.0ms (1.4%)

eval31.0ms (0.3%)

prune13.0ms (0.1%)

regimes57.0ms (0.5%)

regimes82.0ms (0.7%)

regimes37.0ms (0.3%)

regimes22.0ms (0.2%)

regimes15.0ms (0.1%)

simplify6.0ms (0.1%)

soundness730.0ms (6.4%)

preprocess82.0ms (0.7%)

end0.0ms (0%)

Profiling