Metrics for HairBSDF, Mp, lower

analyze793.0ms (5.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	3%	97%	0%	0%	0%	0
0%	0%	3%	97%	0%	0%	0%	1
0%	0%	3%	97%	0%	0%	0%	2
0%	0%	3%	97%	0%	0%	0%	3
0%	0%	3%	97%	0%	0%	0%	4
0%	0%	3%	97%	0%	0%	0%	5
0%	0%	1.5%	97%	0%	1.5%	0%	6
0%	0%	1.5%	97%	0%	1.5%	0%	7
0%	0%	1.5%	97%	0%	1.5%	0%	8
0%	0%	1.5%	97%	0%	1.5%	0%	9
0%	0%	1.5%	97%	0%	1.5%	0%	10
50%	0.7%	0.7%	97%	0%	1.5%	0%	11
50%	0.7%	0.7%	97%	0%	1.5%	0%	12

Compiler

Compiled 69 to 51 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

Operation ival-<=, time spent: 72.0ms, 30.0% of total-time

Operation ival-mult, time spent: 40.0ms, 17.0% of total-time

Operation ival-div, time spent: 24.0ms, 10.0% of total-time

Operation ival-log, time spent: 22.0ms, 9.0% of total-time

Operation ival-add, time spent: 18.0ms, 8.0% of total-time

Operation ival-exp, time spent: 17.0ms, 7.0% of total-time

Operation ival-sub, time spent: 16.0ms, 7.0% of total-time

Operation ival-and, time spent: 16.0ms, 7.0% of total-time

Operation const, time spent: 13.0ms, 5.0% of total-time

sample3.9s (26.2%)

Results

3.3s	8255×	256	valid
49.0ms	135×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

Operation ival-<=, time spent: 377.0ms, 24.0% of total-time

Operation ival-div, time spent: 278.0ms, 18.0% of total-time

Operation ival-mult, time spent: 269.0ms, 17.0% of total-time

Operation ival-log, time spent: 210.0ms, 13.0% of total-time

Operation ival-add, time spent: 103.0ms, 7.0% of total-time

Operation ival-sub, time spent: 100.0ms, 6.0% of total-time

Operation ival-and, time spent: 91.0ms, 6.0% of total-time

Operation ival-exp, time spent: 79.0ms, 5.0% of total-time

Operation const, time spent: 71.0ms, 4.0% of total-time

Bogosity

preprocess614.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

795×	`exp-diff`
750×	`times-frac`
457×	`fma-neg`
330×	`fma-define`
276×	`associate-+l-`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
89	2	(-6.409625818156939e-28 6.279956887235662e-34 -1.6531764021956996e-12 1.054326778334759e-13 2.1210113957342527e-16)	30	(-3.1993024895982103e-10 1.472035759691249e-33 -1.0941195730451367e-13 -2.522691757027881e-16 5.845735019749e-17)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
89	3	(-0.14423184096813202 7.233666790562587e-12 3.4287106784681827e-35 2.984464888763916e-12 0.005230874754488468)	30	(-5.947904729144224e-24 3.910875889800991e-8 5.873934362471395e-30 8.350356539045534e-13 6.876576763535443e-17)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
2	12	(-1.47980117742863e-11 -9.977980997068697e-23 -1.7564291766194338e-24 0.06980067491531372 0.0052248211577534676)	2	(-3.664387196455898e-11 -4.842232720173067e-16 1.1725304754905963e-11 8.355730551912188e-10 0.010950800962746143)	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
1	0	-	0	-	`(log.f32 (/.f32 1 (*.f32 2 v)))`
0	0	-	0	-	`cosTheta_O`
0	0	-	0	-	`(*.f32 2 v)`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	0	-	0	-	`(/.f32 1 v)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)`
0	0	-	0	-	`sinTheta_O`
0	0	-	0	-	`v`
0	0	-	0	-	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))`
0	0	-	0	-	`cosTheta_i`
0	0	-	0	-	`sinTheta_i`
0	0	-	0	-	`(/.f32 1 (*.f32 2 v))`
0	0	-	0	-	`2`
0	0	-	0	-	`6931/10000`
0	0	-	0	-	`1`
0	0	-	0	-	`(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v))`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 308 to 138 computations (55.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

Operation ival-div, time spent: 49.0ms, 33.0% of total-time

Operation ival-log, time spent: 36.0ms, 24.0% of total-time

Operation ival-mult, time spent: 26.0ms, 17.0% of total-time

Operation ival-add, time spent: 15.0ms, 10.0% of total-time

Operation ival-sub, time spent: 13.0ms, 9.0% of total-time

Operation const, time spent: 7.0ms, 5.0% of total-time

Operation ival-exp, time spent: 4.0ms, 3.0% of total-time

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)))
▶	99.4%	(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))

Status

Accuracy

Program

▶

99.4%

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

▶

99.4%

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

Compiler

Compiled 54 to 38 computations (29.6% saved)

localize416.0ms (2.8%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.9%	(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000))
✓	99.8%	(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)
✓	99.6%	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)))
✓	99.2%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	99.8%	(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
✓	99.5%	(log.f32 (/.f32 1/2 v))
✓	99.2%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	99.2%	(*.f32 sinTheta_i (/.f32 sinTheta_O v))

Compiler

Compiled 216 to 90 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

Operation ival-div, time spent: 40.0ms, 27.0% of total-time

Operation ival-add, time spent: 25.0ms, 17.0% of total-time

Operation ival-log, time spent: 22.0ms, 15.0% of total-time

Operation composed, time spent: 21.0ms, 14.0% of total-time

Operation ival-mult, time spent: 18.0ms, 12.0% of total-time

Operation ival-sub, time spent: 9.0ms, 6.0% of total-time

Operation ival-exp, time spent: 7.0ms, 5.0% of total-time

Operation const, time spent: 5.0ms, 3.0% of total-time

series165.0ms (1.1%)

Counts

8 → 360

Calls

90 calls:

Time	Variable		Point	Expression
31.0ms	v	@	0	(log.f32 (/.f32 1/2 v))
20.0ms	v	@	-inf	(log.f32 (/.f32 1/2 v))
9.0ms	v	@	inf	(log.f32 (/.f32 1/2 v))
7.0ms	cosTheta_i	@	0	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)))
3.0ms	v	@	-inf	(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))

rewrite354.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log1p-expm1-u`
229×	`expm1-log1p-u`
218×	`add-exp-log`
217×	`add-log-exp`
216×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	394
1	518	366
2	7461	366

Stop Event

1×	node limit

Counts

8 → 233

Calls

Call 1

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

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

eval297.0ms (2%)

Compiler: Compiled 19081 to 9918 computations (48% saved)

prune71.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	696	13	709
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	698	13	711

Accuracy

99.9%

Counts

711 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.5%	(/.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (log.f32 (/.f32 1/2 v)))))
▶	99.8%	(/.f32 (.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) v)
▶	99.8%	(/.f32 1 (/.f32 v (.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))))
▶	99.4%	(.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 1) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
	14.8%	(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
	99.4%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
▶	8.7%	(.f32 (/.f32 1/2 v) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
	4.6%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	99.4%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) (exp.f32 6931/10000))
	99.5%	(.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
	99.8%	(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
▶	4.6%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	99.4%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))

Compiler

Compiled 568 to 430 computations (24.3% saved)

localize748.0ms (5.1%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 1) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
✓	99.8%	(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)
✓	99.8%	(pow.f32 (exp.f32 1) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))
✓	99.4%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
✓	99.9%	(/.f32 (.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) v)
✓	99.9%	(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))
✓	99.8%	(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)
✓	99.4%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
✓	98.1%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	99.8%	(/.f32 (exp.f32 6931/10000) v)
✓	99.9%	(/.f32 v (.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
✓	99.9%	(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))
✓	99.8%	(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)
✓	99.4%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)

Compiler

Compiled 422 to 158 computations (62.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

Operation ival-div, time spent: 62.0ms, 29.0% of total-time

Operation ival-exp, time spent: 47.0ms, 22.0% of total-time

Operation ival-pow, time spent: 31.0ms, 15.0% of total-time

Operation ival-sub, time spent: 23.0ms, 11.0% of total-time

Operation ival-mult, time spent: 23.0ms, 11.0% of total-time

Operation ival-add, time spent: 16.0ms, 8.0% of total-time

Operation const, time spent: 10.0ms, 5.0% of total-time

series177.0ms (1.2%)

Counts

14 → 720

Calls

192 calls:

Time	Variable		Expression
5.0ms	cosTheta_O	@	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
4.0ms	cosTheta_O	@	(/.f32 v (.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
3.0ms	sinTheta_i	@	(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))
2.0ms	sinTheta_i	@	(/.f32 v (.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
2.0ms	cosTheta_i	@	(/.f32 v (.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))

rewrite205.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

242×	`log1p-expm1-u`
242×	`expm1-log1p-u`
237×	`add-exp-log`
236×	`add-log-exp`
235×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	693
1	602	693

Stop Event

1×	node limit

Counts

14 → 574

Calls

Call 1

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

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

eval1.7s (11.5%)

Compiler: Compiled 74011 to 39813 computations (46.2% saved)

prune198.0ms (1.3%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	2695	15	2710
Fresh	2	6	8
Picked	4	1	5
Done	0	0	0
Total	2701	22	2723

Accuracy

99.9%

Counts

2723 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f32 (/.f32 1 v) (/.f32 2 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
▶	99.8%	(/.f32 (.f32 1/2 (pow.f32 (exp.f32 2) (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 1/2))) v)
	88.2%	(/.f32 (.f32 1/2 (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v)) (pow.f32 (E.f32) (+.f32 (/.f32 1 v) -6931/10000)))) v)
	14.8%	(/.f32 (.f32 1/2 (exp.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v))) v)
	99.8%	(/.f32 (.f32 1/2 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) v)
	9.1%	(/.f32 (.f32 1/2 (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
	99.6%	(/.f32 1 (pow.f32 (sqrt.f32 (.f32 v (/.f32 2 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))) 2))
▶	14.8%	(/.f32 1 (/.f32 v (.f32 1/2 (exp.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v)))))
▶	99.8%	(/.f32 1 (/.f32 v (.f32 1/2 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))))
	9.1%	(/.f32 1 (/.f32 v (.f32 1/2 (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
	4.6%	(/.f32 1 (/.f32 v (*.f32 1/2 (exp.f32 6931/10000))))
▶	99.8%	(/.f32 1 (exp.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
	60.0%	(.f32 (/.f32 1 (cbrt.f32 (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) 1/2) (cbrt.f32 v)))
	99.4%	(.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 1) (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
	14.8%	(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
	99.4%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
	8.7%	(.f32 (/.f32 1/2 v) (exp.f32 (.f32 -1 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
▶	4.6%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	99.4%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) (exp.f32 6931/10000))
	99.5%	(.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
✓	4.6%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	99.4%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))

Compiler

Compiled 925 to 716 computations (22.6% saved)

localize967.0ms (6.6%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f32 1 (exp.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
✓	99.8%	(-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))
✓	99.8%	(+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)
✓	99.8%	(exp.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
✓	99.9%	(/.f32 v (.f32 1/2 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))))
✓	99.9%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
✓	99.8%	(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))
✓	99.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	100.0%	(/.f32 v (.f32 1/2 (exp.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v))))
✓	100.0%	(/.f32 1 (/.f32 v (.f32 1/2 (exp.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v)))))
✓	100.0%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	99.8%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
✓	100.0%	(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))
✓	99.9%	(/.f32 (.f32 1/2 (pow.f32 (exp.f32 2) (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 1/2))) v)
✓	99.9%	(pow.f32 (exp.f32 2) (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 1/2))
✓	99.8%	(+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)

Compiler

Compiled 416 to 189 computations (54.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

Operation ival-div, time spent: 61.0ms, 24.0% of total-time

Operation ival-add, time spent: 42.0ms, 17.0% of total-time

Operation ival-mult, time spent: 36.0ms, 14.0% of total-time

Operation ival-exp, time spent: 35.0ms, 14.0% of total-time

Operation ival-pow, time spent: 31.0ms, 12.0% of total-time

Operation ival-log, time spent: 23.0ms, 9.0% of total-time

Operation const, time spent: 12.0ms, 5.0% of total-time

Operation ival-sub, time spent: 10.0ms, 4.0% of total-time

Operation composed, time spent: 4.0ms, 2.0% of total-time

Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series281.0ms (1.9%)

Counts

17 → 647

Calls

192 calls:

Time	Variable		Expression
20.0ms	v	@	(/.f32 1 (/.f32 v (.f32 1/2 (exp.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v)))))
12.0ms	cosTheta_i	@	(/.f32 v (.f32 1/2 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))))
10.0ms	sinTheta_i	@	(/.f32 1 (exp.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
6.0ms	sinTheta_i	@	(+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)
6.0ms	cosTheta_i	@	(-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))

rewrite191.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

387×	`log1p-expm1-u`
387×	`expm1-log1p-u`
381×	`add-exp-log`
379×	`add-log-exp`
379×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	835
1	848	819

Stop Event

1×	node limit

Counts

17 → 347

Calls

Call 1

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

Outputs
(-.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) 1)
(.f32 1 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))
(.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) 2) (cbrt.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
(.f32 (sqrt.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) (sqrt.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
(/.f32 (-.f32 (pow.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 2) 48038761/100000000) (-.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))
(/.f32 (+.f32 (pow.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 3) 332956652491/1000000000000) (+.f32 (pow.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 2) (-.f32 48038761/100000000 (.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
(pow.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 1)
(pow.f32 (cbrt.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) 3)
(pow.f32 (pow.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) 2)
(log.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 3))
(expm1.f32 (log1p.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
(exp.f32 (log.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
(exp.f32 (.f32 (log.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) 1))
(fma.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) (/.f32 1 v) 6931/10000)
(fma.f32 1 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)
(fma.f32 (cbrt.f32 (pow.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 2)) (cbrt.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v)) 6931/10000)
(fma.f32 (sqrt.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v)) (sqrt.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v)) 6931/10000)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))) 1)
(.f32 1 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
(.f32 (cbrt.f32 (pow.f32 (exp.f32 2) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) (cbrt.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
(.f32 (pow.f32 (pow.f32 (exp.f32 2) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) 1/4) (pow.f32 (pow.f32 (exp.f32 2) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) 1/4))
(.f32 (pow.f32 1 (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 1/2)) (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 4)) (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 1/2)) (pow.f32 (cbrt.f32 (exp.f32 2)) (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 1/2)))
(.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 1/2)) (pow.f32 (sqrt.f32 (exp.f32 2)) (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 1/2)))
(sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
(log.f32 (exp.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))))
(cbrt.f32 (pow.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) 3))
(expm1.f32 (log1p.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
(log1p.f32 (expm1.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
(exp.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 1/2)))
(exp.f32 (.f32 (.f32 2 (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 1/2)) 1))
(exp.f32 (.f32 (log.f32 (pow.f32 (exp.f32 2) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) 1/2))
(-.f32 (exp.f32 (log1p.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v)))) 1)
(.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v))
(.f32 (.f32 1/2 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) (/.f32 1 v))
(.f32 1 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v)))
(.f32 (cbrt.f32 (pow.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v)) 2)) (cbrt.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v))))
(.f32 (sqrt.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v))) (sqrt.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v))))
(pow.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v)) 1)
(pow.f32 (cbrt.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v))) 3)
(pow.f32 (pow.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v))) 2)
(pow.f32 (/.f32 v (.f32 1/2 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))) -1)
(log.f32 (pow.f32 (exp.f32 1/2) (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v)))))
(cbrt.f32 (pow.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v)) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 1/2 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) 3) (pow.f32 v -3)))
(cbrt.f32 (/.f32 (pow.f32 (.f32 1/2 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v))))
(log1p.f32 (expm1.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v))))
(exp.f32 (log.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v))))
(exp.f32 (.f32 (log.f32 (.f32 1/2 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) v))) 1))
(+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i (neg.f32 sinTheta_O)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))))) 1)
(.f32 1 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O)))) 2) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))))
(.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O)))) (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))))
(pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) 1)
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) 3)
(pow.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) 2)
(log.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) 3))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))))
(exp.f32 (log.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))))
(exp.f32 (.f32 (log.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O)))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))) 1)
(/.f32 (*.f32 1/2 (exp.f32 6931/10000)) v)
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))) 2)
(log.f32 (pow.f32 (exp.f32 (exp.f32 6931/10000)) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 6931/10000) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 (/.f32 1/2 v) 3)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))
(exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(exp.f32 (*.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1))
(+.f32 0 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) 1)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 1 v))
(.f32 1 (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 2) (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(.f32 (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 1)
(pow.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) 3)
(pow.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) 2)
(pow.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) -1)
(log.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (log.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 1))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)))) 1)
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(.f32 (pow.f32 (cbrt.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) 2) (cbrt.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
(.f32 (sqrt.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) (sqrt.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 v 2)) 2) (pow.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 2)) (+.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 v 2)) 3) (pow.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 3)) (+.f32 (pow.f32 (log.f32 (.f32 v 2)) 2) (+.f32 (pow.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000) 2) (.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))))
(pow.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) 1)
(pow.f32 (cbrt.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) 3)
(pow.f32 (pow.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) 3) 1/3)
(pow.f32 (sqrt.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) 2)
(log.f32 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))))
(cbrt.f32 (pow.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) 3))
(expm1.f32 (log1p.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
(log1p.f32 (expm1.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
(exp.f32 (log.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
(exp.f32 (.f32 (log.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) 1))
(fma.f32 1 (log.f32 (.f32 v 2)) (neg.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 v 2))) 2) (cbrt.f32 (log.f32 (.f32 v 2))) (neg.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
(fma.f32 (sqrt.f32 (log.f32 (.f32 v 2))) (sqrt.f32 (log.f32 (.f32 v 2))) (neg.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))))) 1)
(.f32 1 (/.f32 1 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))))
(.f32 (cbrt.f32 (pow.f32 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) -2)) (/.f32 1 (cbrt.f32 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))))
(.f32 (pow.f32 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) -1/2) (pow.f32 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) -1/2))
(.f32 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) 2)) -1) (pow.f32 (cbrt.f32 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))) -1))
(.f32 (pow.f32 (sqrt.f32 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))) -1) (pow.f32 (sqrt.f32 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))) -1))
(pow.f32 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) -1)
(pow.f32 (/.f32 1 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))) 1)
(pow.f32 (/.f32 1 (cbrt.f32 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))) 3)
(pow.f32 (pow.f32 (/.f32 1 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))) 3) 1/3)
(pow.f32 (pow.f32 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) -1/2) 2)
(pow.f32 (/.f32 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) 1) -1)
(log.f32 (exp.f32 (/.f32 1 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))))))
(cbrt.f32 (pow.f32 (/.f32 1 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)))) 3))
(expm1.f32 (log1p.f32 (/.f32 1 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))))
(log1p.f32 (expm1.f32 (/.f32 1 (/.f32 (.f32 v 2) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))))
(exp.f32 (neg.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))
(exp.f32 (.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) -1))
(exp.f32 (.f32 (neg.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) 1))

eval640.0ms (4.3%)

Compiler: Compiled 35695 to 22097 computations (38.1% saved)

prune154.0ms (1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	1250	12	1262
Fresh	11	5	16
Picked	5	0	5
Done	1	0	1
Total	1267	17	1284

Accuracy

99.9%

Counts

1284 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(/.f32 (+.f32 1/2 (.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))) v)
▶	99.8%	(/.f32 (.f32 1/2 (pow.f32 (exp.f32 2) (.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) -1) v) 6931/10000) 1/2))) v)
	88.2%	(/.f32 (.f32 1/2 (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v)) (pow.f32 (E.f32) (+.f32 (/.f32 1 v) -6931/10000)))) v)
	99.6%	(/.f32 (.f32 1/2 (.f32 (cbrt.f32 (pow.f32 (exp.f32 2) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))) (cbrt.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000))))) v)
▶	99.8%	(/.f32 1 (pow.f32 (sqrt.f32 (/.f32 (/.f32 v 1/2) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))))) 2))
▶	4.6%	(/.f32 1 (/.f32 v (.f32 1/2 (+.f32 1 (/.f32 (.f32 cosTheta_O cosTheta_i) v)))))
	99.8%	(/.f32 1 (/.f32 v (*.f32 1/2 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
	4.8%	(/.f32 1 (+.f32 (.f32 -2 (.f32 cosTheta_O cosTheta_i)) (*.f32 2 v)))
	4.8%	(/.f32 1 (.f32 v (+.f32 2 (.f32 -2 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
	10.6%	(/.f32 1 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
	99.8%	(/.f32 1 (exp.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) -1) v) 6931/10000))))
	16.1%	(/.f32 1 (exp.f32 (.f32 -1 (/.f32 (.f32 cosTheta_O cosTheta_i) v))))
▶	4.7%	(/.f32 1/2 v)
	60.0%	(.f32 (/.f32 1 (cbrt.f32 (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) 1/2) (cbrt.f32 v)))
	99.4%	(.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 1) (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
▶	99.4%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
	99.5%	(.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))

Compiler

Compiled 742 to 576 computations (22.4% saved)

localize768.0ms (5.2%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f32 (/.f32 v 1/2) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))))
✓	99.9%	(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))
✓	99.8%	(-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))
✓	99.0%	(sqrt.f32 (/.f32 (/.f32 v 1/2) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))))
✓	99.9%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
✓	99.9%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
✓	99.8%	(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))
✓	99.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	100.0%	(/.f32 v (.f32 1/2 (+.f32 1 (/.f32 (.f32 cosTheta_O cosTheta_i) v))))
✓	100.0%	(/.f32 1 (/.f32 v (.f32 1/2 (+.f32 1 (/.f32 (.f32 cosTheta_O cosTheta_i) v)))))
✓	99.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	100.0%	(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) -1) v)
✓	99.9%	(/.f32 (.f32 1/2 (pow.f32 (exp.f32 2) (.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) -1) v) 6931/10000) 1/2))) v)
✓	99.9%	(pow.f32 (exp.f32 2) (.f32 (+.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) -1) v) 6931/10000) 1/2))
✓	99.8%	(+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) -1) v) 6931/10000)

Compiler

Compiled 334 to 185 computations (44.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

Operation ival-div, time spent: 79.0ms, 26.0% of total-time

Operation ival-add, time spent: 46.0ms, 15.0% of total-time

Operation ival-pow, time spent: 38.0ms, 12.0% of total-time

Operation composed, time spent: 34.0ms, 11.0% of total-time

Operation ival-mult, time spent: 34.0ms, 11.0% of total-time

Operation ival-exp, time spent: 33.0ms, 11.0% of total-time

Operation ival-sub, time spent: 19.0ms, 6.0% of total-time

Operation const, time spent: 12.0ms, 4.0% of total-time

Operation ival-sqrt, time spent: 10.0ms, 3.0% of total-time

series140.0ms (1%)

Counts

15 → 439

Calls

135 calls:

Time	Variable		Point	Expression
7.0ms	cosTheta_O	@	0	(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))
7.0ms	cosTheta_O	@	-inf	(+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) -1) v) 6931/10000)
4.0ms	v	@	-inf	(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) -1) v)
4.0ms	v	@	-inf	(sqrt.f32 (/.f32 (/.f32 v 1/2) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))))
3.0ms	v	@	0	(sqrt.f32 (/.f32 (/.f32 v 1/2) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))))

rewrite174.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

307×	`log1p-expm1-u`
307×	`expm1-log1p-u`
306×	`add-cube-cbrt`
304×	`pow1`
303×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	639
1	755	592

Stop Event

1×	node limit

Counts

15 → 442

Calls

Call 1

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

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

eval628.0ms (4.3%)

Compiler: Compiled 23071 to 16132 computations (30.1% saved)

prune160.0ms (1.1%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	936	9	945
Fresh	3	9	12
Picked	3	2	5
Done	0	0	0
Total	942	20	962

Accuracy

99.9%

Counts

962 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(/.f32 (+.f32 1/2 (.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))) v)
	99.8%	(/.f32 (.f32 1/2 (pow.f32 (exp.f32 2) (.f32 (-.f32 6931/10000 (/.f32 1 v)) 1/2))) v)
	88.2%	(/.f32 (.f32 1/2 (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v)) (pow.f32 (E.f32) (+.f32 (/.f32 1 v) -6931/10000)))) v)
	99.6%	(/.f32 (.f32 1/2 (.f32 (cbrt.f32 (pow.f32 (exp.f32 2) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000))) (cbrt.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000))))) v)
	99.8%	(/.f32 (*.f32 1/2 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v)
	99.8%	(/.f32 1 (pow.f32 (sqrt.f32 (/.f32 (/.f32 v 1/2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) 2))
✓	4.6%	(/.f32 1 (/.f32 v (.f32 1/2 (+.f32 1 (/.f32 (.f32 cosTheta_O cosTheta_i) v)))))
	99.8%	(/.f32 1 (/.f32 v (*.f32 1/2 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
	4.8%	(/.f32 1 (+.f32 (.f32 -2 (.f32 cosTheta_O cosTheta_i)) (*.f32 2 v)))
	4.8%	(/.f32 1 (.f32 v (+.f32 2 (.f32 -2 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
	10.6%	(/.f32 1 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
	99.8%	(/.f32 1 (exp.f32 (-.f32 (log.f32 (.f32 v 2)) (+.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) -1) v) 6931/10000))))
✓	4.7%	(/.f32 1/2 v)
	99.8%	(.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (.f32 1/2 (pow.f32 (sqrt.f32 (exp.f32 2)) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000))) (cbrt.f32 v)))
	60.0%	(.f32 (/.f32 1 (cbrt.f32 (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) -1) v) 6931/10000)) 1/2) (cbrt.f32 v)))
	99.4%	(.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 1) (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) v))))
	99.4%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
	99.5%	(.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
	20.2%	(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 v 2)))
	99.4%	(exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)) (log.f32 (/.f32 1/2 v))))

Compiler

Compiled 1273 to 864 computations (32.1% saved)

regimes168.0ms (1.1%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

9 calls:

23.0ms	cosTheta_O
22.0ms	sinTheta_O
22.0ms	cosTheta_i
21.0ms	sinTheta_i
20.0ms	v

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
99.8%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 80 computations (23.8% saved)

regimes85.0ms (0.6%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

7 calls:

14.0ms	v
13.0ms	sinTheta_O
13.0ms	cosTheta_O
12.0ms	sinTheta_i
12.0ms	cosTheta_i

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes44.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes39.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	sinTheta_i
8.0ms	v
7.0ms	cosTheta_O
7.0ms	cosTheta_i
7.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
99.4%	1	`cosTheta_i`
99.4%	1	`cosTheta_O`
99.4%	1	`sinTheta_i`
99.4%	1	`sinTheta_O`
99.4%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes37.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

Outputs
(/.f32 1 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 v 2)))

Calls

5 calls:

11.0ms	v
7.0ms	cosTheta_i
7.0ms	sinTheta_O
6.0ms	cosTheta_O
6.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
20.2%	1	`cosTheta_i`
20.2%	1	`cosTheta_O`
20.2%	1	`sinTheta_i`
20.2%	1	`sinTheta_O`
24.7%	2	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes30.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(/.f32 1 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))

Calls

5 calls:

7.0ms	cosTheta_i
6.0ms	cosTheta_O
5.0ms	v
5.0ms	sinTheta_O
5.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
10.6%	1	`cosTheta_O`
10.6%	1	`sinTheta_O`
10.6%	1	`cosTheta_i`
10.6%	1	`sinTheta_i`
10.6%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes27.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(/.f32 1 (+.f32 (.f32 -2 (.f32 cosTheta_O cosTheta_i)) (*.f32 2 v)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
4.8%	1	`cosTheta_i`
4.8%	1	`sinTheta_O`
4.8%	1	`cosTheta_O`
4.8%	1	`sinTheta_i`
4.8%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes16.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f32 1/2 v)

Outputs
(/.f32 1/2 v)

Calls

5 calls:

5.0ms	sinTheta_i
3.0ms	v
3.0ms	cosTheta_O
3.0ms	sinTheta_O
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
4.7%	1	`cosTheta_i`
4.7%	1	`cosTheta_O`
4.7%	1	`sinTheta_O`
4.7%	1	`sinTheta_i`
4.7%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch3.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	fuel
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.420265646536329e-23	4.6967358347229645e-23

Compiler

Compiled 167 to 136 computations (18.6% saved)

soundness479.0ms (3.3%)

Rules

795×	`exp-diff`
750×	`times-frac`
562×	`log1p-expm1-u`
457×	`fma-neg`
330×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	693
1	602	693
0	35	394
1	518	366
2	7461	366
0	173	2130
1	485	1898
2	1448	1854
3	5747	1854

Stop Event

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

Compiler

Compiled 1407 to 797 computations (43.4% saved)

end0.0ms (0%)

preprocess106.0ms (0.7%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 856 to 724 computations (15.4% saved)

analyze793.0ms (5.4%)

sample3.9s (26.2%)

preprocess614.0ms (4.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize416.0ms (2.8%)

series165.0ms (1.1%)

rewrite354.0ms (2.4%)

eval297.0ms (2%)

prune71.0ms (0.5%)

localize748.0ms (5.1%)

series177.0ms (1.2%)

rewrite205.0ms (1.4%)

eval1.7s (11.5%)

prune198.0ms (1.3%)

localize967.0ms (6.6%)

series281.0ms (1.9%)

rewrite191.0ms (1.3%)

eval640.0ms (4.3%)

prune154.0ms (1%)

localize768.0ms (5.2%)

series140.0ms (1%)

rewrite174.0ms (1.2%)

eval628.0ms (4.3%)

prune160.0ms (1.1%)

regimes168.0ms (1.1%)

regimes85.0ms (0.6%)

regimes44.0ms (0.3%)

regimes39.0ms (0.3%)

regimes37.0ms (0.2%)

regimes30.0ms (0.2%)

regimes27.0ms (0.2%)

regimes16.0ms (0.1%)

bsearch3.0ms (0%)

soundness479.0ms (3.3%)

end0.0ms (0%)

preprocess106.0ms (0.7%)

Profiling