Metrics for Beckmann Sample, near normal, slope

analyze449.0ms (2.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
18.7%	0%	0%	100%	0%	0%	0%	6
28.1%	0%	0%	100%	0%	0%	0%	7
32.8%	0%	0%	100%	0%	0%	0%	8
49.2%	0%	0%	100%	0%	0%	0%	9
57.4%	0%	0%	100%	0%	0%	0%	10
61.5%	0%	0%	100%	0%	0%	0%	11
71.8%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 39 to 27 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

...c/correct-round.rkt:119:19: 67.0ms (23% of total)

ival-<=: 46.0ms (15.8% of total)

ival-mult: 40.0ms (13.7% of total)

ival-log: 33.0ms (11.3% of total)

ival-cos: 25.0ms (8.6% of total)

ival-sub: 22.0ms (7.6% of total)

ival-sqrt: 15.0ms (5.2% of total)

ival-pi: 11.0ms (3.8% of total)

ival->: 10.0ms (3.4% of total)

ival-and: 9.0ms (3.1% of total)

ival-neg: 9.0ms (3.1% of total)

const: 2.0ms (0.7% of total)

backward-pass: 1.0ms (0.3% of total)

sample2.3s (14.4%)

Results

1.9s	8256×	0	valid
0.0ms	2×	0	precondition

Precisions

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

...c/correct-round.rkt:119:19: 579.0ms (36.3% of total)

ival-mult: 196.0ms (12.3% of total)

ival-log: 184.0ms (11.6% of total)

ival-<=: 184.0ms (11.6% of total)

ival-cos: 119.0ms (7.5% of total)

ival-sqrt: 64.0ms (4% of total)

ival-sub: 63.0ms (4% of total)

ival-neg: 58.0ms (3.6% of total)

ival->: 53.0ms (3.3% of total)

ival-pi: 41.0ms (2.6% of total)

ival-and: 40.0ms (2.5% of total)

const: 9.0ms (0.6% of total)

backward-pass: 3.0ms (0.2% of total)

Bogosity

preprocess79.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1672×	`fma-define`
1668×	`fnmadd-define`
1174×	`sum3-define`
716×	`fmsub-define`
668×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	135
1	99	121
2	191	121
3	344	121
4	617	121
5	1232	121
6	1708	121
7	2334	121
8	3912	121
9	4671	121
10	4762	121
11	4776	121
12	4788	121
0	13	13
1	25	12
2	38	12
3	48	12
4	62	12
5	79	12
6	101	12
7	115	12
8	127	12
9	128	12
0	128	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

Outputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))

Call 2

Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1)))

Outputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p u1))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))))
(* (sqrt (neg (log1p (neg u1)))) (neg (cos (* 2 (* (PI) u2)))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))))
(fnmsub (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p u1))) 0)
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log1p (neg u1)))) (neg (cos (* 2 (* (PI) u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2)))
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p (neg cosTheta_i)))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) cosTheta_i))))
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1)))
(* (sqrt (neg (log1p (neg u2)))) (cos (* u1 (* 2 (PI)))))

Symmetry

(abs cosTheta_i)

(abs u2)

explain133.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
203	8	(0.9999362230300903 0.009467532858252525 0.03734017536044121)	3	(0.9999521374702454 0.011127157136797905 0.00041736982529982924)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`

Results

80.0ms

512×

valid

Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 11.0ms (24.4% of total)

ival-log: 10.0ms (22.2% of total)

ival-cos: 10.0ms (22.2% of total)

ival-sqrt: 5.0ms (11.1% of total)

ival-sub: 3.0ms (6.6% of total)

ival-neg: 3.0ms (6.6% of total)

ival-pi: 2.0ms (4.4% of total)

const: 1.0ms (2.2% of total)

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

eval0.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	59.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Status

Accuracy

Program

▶

99.2%

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))

▶

59.0%

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	32	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	32	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	32	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

40×	`sum3-define`
40×	`-lowering-.f32`
40×	`-lowering-.f64`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	90
1	41	90
2	55	90
3	65	90
4	84	90
5	104	90
6	121	90
7	136	90
8	137	90
0	137	90

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(- 1 u1)
1
u1
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2

Outputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (- 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (- 1 u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (- 1 u1))
(log1p.f32 (neg.f32 u1))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(cos (* (* 2 (PI)) u2))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(* 2 (* (PI) u2))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2

localize93.0ms (0.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	56.8%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

66.0ms

256×

valid

Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 10.0ms (21.6% of total)

ival-log: 9.0ms (19.4% of total)

ival-cos: 6.0ms (13% of total)

ival-sqrt: 6.0ms (13% of total)

compiled-spec: 6.0ms (13% of total)

ival-neg: 4.0ms (8.6% of total)

ival-sub: 2.0ms (4.3% of total)

ival-pi: 1.0ms (2.2% of total)

ival-add: 1.0ms (2.2% of total)

const: 1.0ms (2.2% of total)

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

series68.0ms (0.4%)

Counts

11 → 156

Calls

Call 1

Inputs
#<alt (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (log (- 1 u1))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (* 2 (PI)) u2)>
#<alt (* (PI) u2)>
#<alt (cos (* 2 (* (PI) u2)))>

Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>

Calls

39 calls:

Time	Variable		Point	Expression
53.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms	u2	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	-inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite263.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2534×	`fma-lowering-fma.f32`
2534×	`fma-lowering-fma.f64`
1736×	`-lowering-.f32`
1736×	`-lowering-.f64`
1582×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	94	62
2	538	54
3	4579	54
0	8446	54

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 318

Calls

Call 1

Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* (* 2 (PI)) u2)
(* (PI) u2)
(cos (* 2 (* (PI) u2)))

Outputs
(+.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(+.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(+.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))) (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))))
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
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(/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))))
(/.f32 (-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))) (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))

simplify332.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

5686×	`-lowering-.f32`
5686×	`-lowering-.f64`
3272×	`+-lowering-+.f64`
3272×	`+-lowering-+.f32`
2386×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	3405
1	982	2777
2	3481	2544
0	8034	2544

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))

Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/4 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 (.f32 (.f32 u1 u1) #s(literal -1/6 binary32)) #s(literal -1 binary32))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (.f32 (.f32 u1 u1) (+.f32 (.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (.f32 u1 #s(literal -1/2 binary32))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 #s(literal -1/6 binary32) u1) #s(literal -1/4 binary32))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) u1)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(neg.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) u1))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1) #s(literal 1 binary32))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1))))) u1)) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 u2 u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 #s(literal -1 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))) (.f32 (sqrt.f32 u1) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 u1 u1)) #s(literal -1 binary32))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 (.f32 u1 u1) (+.f32 (.f32 (.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) u1)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 (.f32 #s(literal -1/6 binary32) u1) #s(literal -1/4 binary32))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
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(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 u2 u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 #s(literal -1 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))) (.f32 (sqrt.f32 u1) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 u1 u1)) #s(literal -1 binary32))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 (.f32 u1 u1) (+.f32 (.f32 (.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) u1)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 (.f32 #s(literal -1/6 binary32) u1) #s(literal -1/4 binary32))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) u1)))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 u1 (.f32 u1 u1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 u1 u1)))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal -1/2 binary32) u1)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1) #s(literal 1 binary32)))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(-.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1)))) u1))) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32))) (log.f32 u1))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (-.f32 (/.f32 #s(literal 1/3 binary32) (.f32 u1 (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 #s(literal -1/2 binary32))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32))))))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal -1/2 binary32) (.f32 u1 (+.f32 #s(literal -1/3 binary32) (.f32 u1 #s(literal -1/4 binary32))))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))

eval40.0ms (0.3%)

Compiler: Compiled 12084 to 1229 computations (89.8% saved)

prune84.0ms (0.5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	459	15	474
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	459	17	476

Accuracy

99.7%

Counts

476 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.3%	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.0%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.8%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	86.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	71.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
▶	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
▶	87.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	79.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	59.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 689 to 523 computations (24.1% saved)

simplify314.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	32	(neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
✓	cost-diff	32	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
✓	cost-diff	32	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
✓	cost-diff	192	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
✓	cost-diff	192	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	64	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	cost-diff	9824	(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
✓	cost-diff	9824	(.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))
✓	cost-diff	9824	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
✓	cost-diff	9824	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))

Rules

3890×	`associate-r`
3410×	`-lowering-.f32`
3410×	`-lowering-.f64`
1570×	`associate-l`
1144×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	390
1	121	353
2	271	290
3	625	287
4	1413	287
5	1927	287
6	2217	287
7	2644	287
8	2818	287
9	3014	287
10	3280	287
11	3713	287
12	4084	287
13	4313	287
14	4339	287
15	4351	287
16	4351	287
17	5800	287
18	5873	287
19	5874	287
20	6262	287
21	6262	287
22	6262	287
23	7032	287
0	7032	287

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))
2
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))
(pow (PI) 1/3)
(PI)
1/3
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
(* u2 (pow (PI) 1/3))
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
1
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
1
(* u2 (* u2 (* -2 (* (PI) (PI)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(* -2 (* (PI) (PI)))
-2
(* (PI) (PI))
(PI)
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))
1
(/ 1 (* 1 (cos (* 2 (* (PI) u2)))))
(* 1 (cos (* 2 (* (PI) u2))))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))
(log (+ 1 (* u1 (* u1 u1))))
(* u1 (* u1 u1))
u1
(* u1 u1)
(log (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 u1))
(+ 1 u1)
1
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2

Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))
(*.f32 (PI.f32) u2)
(pow (PI) 1/3)
(pow.f32 (PI.f32) #s(literal 1/3 binary32))
(PI)
(PI.f32)
1/3
#s(literal 1/3 binary32)
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(* u2 (pow (PI) 1/3))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
1
#s(literal 1 binary32)
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (*.f32 u2 #s(literal -2 binary32)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
(+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32))))))
1
#s(literal 1 binary32)
(* u2 (* u2 (* -2 (* (PI) (PI)))))
(.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(* -2 (* (PI) (PI)))
(.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))
-2
#s(literal -2 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
1
#s(literal 1 binary32)
(/ 1 (* 1 (cos (* 2 (* (PI) u2)))))
(/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(* 1 (cos (* 2 (* (PI) u2))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(cos (* 2 (* (PI) u2)))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(* 2 (* (PI) u2))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (.f32 u1 (.f32 u1 u1))))))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))
(sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (.f32 u1 (*.f32 u1 u1)))))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))
(-.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (.f32 u1 (*.f32 u1 u1))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(log (+ 1 (* u1 (* u1 u1))))
(log1p.f32 (.f32 u1 (.f32 u1 u1)))
(* u1 (* u1 u1))
(.f32 u1 (.f32 u1 u1))
u1
(* u1 u1)
(*.f32 u1 u1)
(log (+ 1 (* u1 (+ 1 u1))))
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(cos (* (* 2 (PI)) u2))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2

localize490.0ms (3.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	99.0%	(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	98.9%	(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	84.3%	(PI.f32)
✓	accuracy	99.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
✓	accuracy	99.3%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)
✓	accuracy	84.3%	(PI.f32)
✓	accuracy	99.3%	(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
✓	accuracy	99.1%	(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
✓	accuracy	97.4%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	84.3%	(PI.f32)
✓	accuracy	100.0%	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	accuracy	100.0%	(neg.f32 u1)
✓	accuracy	100.0%	(log1p.f32 (neg.f32 u1))
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.5%	(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
✓	accuracy	99.2%	(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
✓	accuracy	99.2%	(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
✓	accuracy	84.3%	(PI.f32)

Results

171.0ms	43×	5	exit
112.0ms	63×	1	valid
102.0ms	150×	0	valid

Compiler

Compiled 392 to 47 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

backward-pass: 66.0ms (23.1% of total)

ival-mult: 59.0ms (20.6% of total)

compiled-spec: 49.0ms (17.1% of total)

ival-cos: 24.0ms (8.4% of total)

ival-add: 24.0ms (8.4% of total)

ival-log: 23.0ms (8% of total)

ival-pow: 13.0ms (4.5% of total)

...c/correct-round.rkt:119:19: 8.0ms (2.8% of total)

ival-neg: 6.0ms (2.1% of total)

ival-div: 5.0ms (1.7% of total)

ival-sqrt: 5.0ms (1.7% of total)

ival-pi: 2.0ms (0.7% of total)

const: 2.0ms (0.7% of total)

ival-sub: 2.0ms (0.7% of total)

series116.0ms (0.7%)

Counts

28 → 360

Calls

Call 1

Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))>
#<alt (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))>
#<alt (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))>
#<alt (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) 1)>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))))>
#<alt (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))>
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#<alt (* 1 (cos (* 2 (* (PI) u2))))>
#<alt (* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))>
#<alt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))>
#<alt (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))>
#<alt (PI)>
#<alt (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))>
#<alt (* u2 (pow (PI) 1/3))>
#<alt (neg u1)>
#<alt (* (PI) (PI))>
#<alt (* u2 (* -2 (* (PI) (PI))))>
#<alt (* u2 (* u2 (* -2 (* (PI) (PI)))))>
#<alt (* (PI) u2)>
#<alt (* u1 (+ 1 u1))>
#<alt (log (+ 1 (* u1 (+ 1 u1))))>
#<alt (* (* 2 (PI)) u2)>

Outputs
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#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
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#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
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#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
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#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
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#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
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#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
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#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
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#<alt (* 2 (* u2 (PI)))>
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#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
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#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
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#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
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#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
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#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
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#<alt (* -1 (log (/ -1 u1)))>
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#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* -1/6 (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))))>
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#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))>
#<alt (* -2 (log (/ 1 u1)))>
#<alt (+ (* -2 (log (/ 1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))>
#<alt (* -2 (log (/ -1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>

Calls

90 calls:

Time	Variable		Point	Expression
36.0ms	u2	@	inf	(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
30.0ms	u2	@	0	(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
24.0ms	u1	@	-inf	(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
2.0ms	u2	@	0	(* u2 (pow (PI) 1/3))
1.0ms	u1	@	inf	(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))

rewrite435.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3630×	`-lowering-.f32`
3630×	`-lowering-.f64`
2480×	`/-lowering-/.f32`
2480×	`/-lowering-/.f64`
1456×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	233
1	233	156
2	1666	145
0	8537	145

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 784

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))
(cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))))
(/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))
(/ 1 (* 1 (cos (* 2 (* (PI) u2)))))
(* 1 (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))
(PI)
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
(* u2 (pow (PI) 1/3))
(neg u1)
(* (PI) (PI))
(* u2 (* -2 (* (PI) (PI))))
(* u2 (* u2 (* -2 (* (PI) (PI)))))
(* (PI) u2)
(* u1 (+ 1 u1))
(log (+ 1 (* u1 (+ 1 u1))))
(* (* 2 (PI)) u2)

Outputs
(exp.f32 (+.f32 (.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32)) (log.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(exp.f32 (+.f32 (log.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32))))
(exp.f32 (-.f32 (.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32)) (neg.f32 (log.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))))
(/.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(/.f32 (.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(/.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1 binary32))
(/.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)))) (.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (/.f32 (.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 4 binary32))))))
(/.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal 1 binary32))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (neg.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (neg.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(/.f32 (neg.f32 (.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(.f32 #s(literal 1 binary32) (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(.f32 (/.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(.f32 (/.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(.f32 (/.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))
(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))
(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))
(neg.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(cos.f32 (+.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32)))
(+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))
(pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1/2 binary32))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(fma.f32 (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
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(-.f32 #s(literal 0 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)))
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(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (-.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))) (log.f32 (-.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)))
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))

simplify426.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

6826×	`-lowering-.f32`
6826×	`-lowering-.f64`
3490×	`+-lowering-+.f64`
3490×	`+-lowering-+.f32`
1710×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	659	7046
1	2271	5647
0	8269	5647

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* -1/6 (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))))
(* (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))
(+ (* -1/2 (* (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* -1/2 (* (/ (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
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(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(* -2 (log (/ 1 u1)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(* -2 (log (/ -1 u1)))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))

Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (.f32 u1 (.f32 u1 (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 (+.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 u1))))))) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 u1 (.f32 u1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(.f32 #s(literal -1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (.f32 #s(literal -1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1))))) u1)) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 (.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 u2 u2) (*.f32 u2 u2))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 (.f32 u1 u1) (+.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
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(+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2/3 binary32) u1)) u1))) u1))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))

eval210.0ms (1.3%)

Compiler: Compiled 58146 to 5069 computations (91.3% saved)

prune360.0ms (2.3%)

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	1917	31	1948
Fresh	4	6	10
Picked	3	2	5
Done	0	2	2
Total	1924	41	1965

Accuracy

99.9%

Counts

1965 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.3%	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	89.4%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
▶	83.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
▶	94.8%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.9%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
	82.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	93.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.9%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
	89.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	79.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	89.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	86.6%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	86.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	87.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	78.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
	71.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
	87.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (.f32 u1 u1) (.f32 #s(literal 0 binary32) u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	87.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
	95.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
	87.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)))))))
	85.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	95.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
✓	87.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	79.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	59.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.4%	(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	69.1%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	3.9%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
	76.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.7%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
▶	4.5%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))

Compiler

Compiled 1841 to 1326 computations (28% saved)

simplify189.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	3456	(-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
✓	cost-diff	3584	(/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 binary32))
✓	cost-diff	3584	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
✓	cost-diff	0	(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))
✓	cost-diff	0	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
✓	cost-diff	0	(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))
✓	cost-diff	0	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	32	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	3136	(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
✓	cost-diff	3136	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))

Rules

2584×	`fma-lowering-fma.f32`
2584×	`fma-lowering-fma.f64`
1858×	`fma-define`
1712×	`-lowering-.f32`
1712×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	467
1	137	421
2	356	409
3	987	396
4	3074	391
5	6668	391
0	8386	391

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2)))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))
(cos (* (PI) u2))
(* (PI) u2)
(PI)
u2
(/ (- 1 (cos (* 2 (* (PI) u2)))) -2)
(- 1 (cos (* 2 (* (PI) u2))))
1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
-2
(* (sqrt u1) -1)
(sqrt u1)
u1
-1
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
(* u2 (* u2 (* -2 (* (PI) (PI)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(* -2 (* (PI) (PI)))
-2
(* (PI) (PI))
(PI)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2)
(- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2)))))
(+ (cos (* 2 (* (PI) u2))) 1)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
1
(- 1 (cos (* 2 (* (PI) u2))))

Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))
(+.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)))
(cos (* (PI) u2))
(cos.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(/ (- 1 (cos (* 2 (* (PI) u2)))) -2)
(+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 2 binary32)))
(- 1 (cos (* 2 (* (PI) u2))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))
1
#s(literal 1 binary32)
(cos (* 2 (* (PI) u2)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))
(* 2 (* (PI) u2))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
2
#s(literal 2 binary32)
-2
#s(literal -2 binary32)
(* (sqrt u1) -1)
(neg.f32 (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
u1
-1
#s(literal -1 binary32)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 #s(literal -2 binary32)))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))
1/2
#s(literal 1/2 binary32)
(* u1 (+ 1/3 (* u1 1/4)))
(.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 #s(literal -2 binary32))))))
(* u2 (* u2 (* -2 (* (PI) (PI)))))
(.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 #s(literal -2 binary32)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 #s(literal -2 binary32))))
(* -2 (* (PI) (PI)))
(.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))
-2
#s(literal -2 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))
1/2
#s(literal 1/2 binary32)
(* u1 (+ 1/3 (* u1 1/4)))
(.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(cos (* (* 2 (PI)) u2))
(cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))
(* (* 2 (PI)) u2)
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(* 2 (PI))
(*.f32 (PI.f32) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2)
(cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))
(- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2)))))
(.f32 #s(literal 2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(+ (cos (* 2 (* (PI) u2))) 1)
(+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))
(cos (* 2 (* (PI) u2)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))
(* 2 (* (PI) u2))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
1
#s(literal 1 binary32)
(- 1 (cos (* 2 (* (PI) u2))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))

localize286.0ms (1.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32))
✓	accuracy	99.2%	(-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	40.3%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
✓	accuracy	99.2%	(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))
✓	accuracy	99.1%	(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
✓	accuracy	99.1%	(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	99.1%	(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
✓	accuracy	99.1%	(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
✓	accuracy	98.9%	(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	100.0%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
✓	accuracy	99.0%	(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	40.3%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))

Results

190.0ms

256×

valid

Compiler

Compiled 496 to 48 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 31.0ms (32.4% of total)

ival-cos: 12.0ms (12.5% of total)

ival-sqrt: 11.0ms (11.5% of total)

compiled-spec: 11.0ms (11.5% of total)

ival-add: 10.0ms (10.5% of total)

ival-log: 5.0ms (5.2% of total)

...c/correct-round.rkt:119:19: 5.0ms (5.2% of total)

ival-div: 4.0ms (4.2% of total)

ival-sub: 3.0ms (3.1% of total)

ival-neg: 3.0ms (3.1% of total)

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

const: 1.0ms (1% of total)

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

series52.0ms (0.3%)

Counts

23 → 312

Calls

Call 1

Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2)))>
#<alt (+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (* (sqrt u1) -1)>
#<alt (sqrt u1)>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))>
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))>
#<alt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2))>
#<alt (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2)>
#<alt (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2)))))>
#<alt (- 1 (cos (* 2 (* (PI) u2))))>
#<alt (* (PI) u2)>
#<alt (* (PI) (PI))>
#<alt (* u2 (* -2 (* (PI) (PI))))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))>
#<alt (* u2 (* u2 (* -2 (* (PI) (PI)))))>
#<alt (* (* 2 (PI)) u2)>
#<alt (+ 1/3 (* u1 1/4))>
#<alt (+ (cos (* 2 (* (PI) u2))) 1)>

Outputs
#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* -1/6 (* (sqrt u1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))))))>
#<alt (* (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))>
#<alt (+ (* -1/2 (* (/ (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))) (* -1/2 (* (/ (* (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* 1/3 (pow (PI) 4)))))) (sqrt (log (- 1 u1)))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* 1/3 (pow (PI) 4)))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* -2/45 (pow (PI) 6)) (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6)))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))>
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#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt 2>
#<alt (+ 2 (* -4 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 4/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -8/45 (* (pow u2 2) (pow (PI) 6))) (* 4/3 (pow (PI) 4)))))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* 1/2 u1)>
#<alt (* u1 (+ 1/2 (* 1/3 u1)))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt 2>
#<alt (+ 2 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))>
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))>
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))>
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))>
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))>
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))>
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))>
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))>

Calls

78 calls:

Time	Variable		Point	Expression
20.0ms	u2	@	-inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2)))
3.0ms	u1	@	-inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2)))
3.0ms	u1	@	inf	(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
2.0ms	u2	@	0	(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))
1.0ms	u2	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2)))

rewrite334.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2646×	`-lowering-.f32`
2646×	`-lowering-.f64`
2538×	`fma-lowering-fma.f32`
2538×	`fma-lowering-fma.f64`
1756×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	258
1	288	230
2	2696	187
0	8642	187

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 528

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2)))
(+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(* (sqrt u1) -1)
(sqrt u1)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2))
(/ (- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2))))) 2)
(- (+ (cos (* 2 (* (PI) u2))) 1) (- 1 (cos (* 2 (* (PI) u2)))))
(- 1 (cos (* 2 (* (PI) u2))))
(* (PI) u2)
(* (PI) (PI))
(* u2 (* -2 (* (PI) (PI))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(* u2 (* u2 (* -2 (* (PI) (PI)))))
(* (* 2 (PI)) u2)
(+ 1/3 (* u1 1/4))
(+ (cos (* 2 (* (PI) u2))) 1)

Outputs
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -1 binary32)))))
(+.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -1 binary32)))) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))))
(pow.f32 (/.f32 #s(literal 2 binary32) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 0 binary32))))) #s(literal -1 binary32))
(fma.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -1 binary32)))))
(fma.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -2 binary32))) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (.f32 (cos.f32 (.f32 (PI.f32) u2)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -1 binary32)))))
(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -1 binary32)))))
(fma.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (.f32 #s(literal -1/2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))))
(fma.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -2 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))))
(fma.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (cos.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -1 binary32)))))
(fma.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 0 binary32))))))
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(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2) (.f32 (PI.f32) u2))
(fma.f32 (.f32 u2 #s(literal 1 binary32)) (PI.f32) (.f32 (PI.f32) u2))
(fma.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (PI.f32) u2))
(fma.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) u2))
(/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))
(/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))) #s(literal 0 binary32))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 u2 (+.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))) (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 (.f32 u1 u1) u1) #s(literal 1/64 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (-.f32 #s(literal 1/9 binary32) (.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))) #s(literal -1 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
(-.f32 (/.f32 #s(literal 1/9 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))) (/.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))) (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 (.f32 u1 u1) u1) #s(literal 1/64 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (-.f32 #s(literal 1/9 binary32) (.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))))
(/.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 (.f32 u1 u1) u1) #s(literal 1/64 binary32))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 (.f32 u1 u1) u1) #s(literal 1/64 binary32))) (+.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/12 binary32) u1))))
(/.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32))) (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 (.f32 u1 u1) u1) #s(literal 1/64 binary32)))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 u1 u1) #s(literal 1/16 binary32)) #s(literal 1/9 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))
(.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 (.f32 u1 u1) u1) #s(literal 1/64 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))))
(.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u1 u1) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))
(+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))) (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -1 binary32)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))))))
(fma.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))))))
(fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) #s(literal 1 binary32))
(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))))
(-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))) (+.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -1 binary32))))
(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))) (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -1 binary32)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))) (+.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))))) (neg.f32 (+.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -1 binary32))))
(.f32 #s(literal 2 binary32) (.f32 (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 2 binary32))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 2 binary32)))))
(.f32 #s(literal 2 binary32) (.f32 (cos.f32 (/.f32 (+.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 2 binary32))) (cos.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 2 binary32)))))
(.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))))))
(.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal -1 binary32))))

simplify428.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

8704×	`-lowering-.f32`
8704×	`-lowering-.f64`
3918×	`+-lowering-+.f64`
3918×	`+-lowering-+.f32`
1880×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	698	6501
1	2495	5256
0	9220	5256

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* -1/6 (* (sqrt u1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))))))
(* (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(+ (* -1/2 (* (/ (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))) (* -1/2 (* (/ (* (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* 1/3 (pow (PI) 4)))))) (sqrt (log (- 1 u1)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* 1/3 (pow (PI) 4)))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* -2/45 (pow (PI) 6)) (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6)))))) (sqrt (log (- 1 u1)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
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1
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(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
2
(+ 2 (* -4 (* (pow u2 2) (pow (PI) 2))))
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 4/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -8/45 (* (pow u2 2) (pow (PI) 6))) (* 4/3 (pow (PI) 4)))))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* 1/2 u1)
(* u1 (+ 1/2 (* 1/3 u1)))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1/3
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
2
(+ 2 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+ 1 (cos (* 2 (* u2 (PI)))))

Outputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))
(.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* -1/6 (* (sqrt u1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))))
(+.f32 (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (.f32 u1 (.f32 u1 (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (+.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))))))
(+.f32 (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (.f32 u1 (.f32 u1 (+.f32 (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 (+.f32 (.f32 (.f32 (sqrt.f32 u1) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)))))))))
(* (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) #s(literal -1/2 binary32))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (.f32 u1 u1))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) u1)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (.f32 u1 u1))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) u1)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (.f32 (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (.f32 u1 (.f32 u1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) #s(literal -1/2 binary32))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(+ (* -1/2 (* (/ (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2)))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
2
#s(literal 2 binary32)
(+ 2 (* -4 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)) u2) u2))
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 4/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 2 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)) (.f32 u2 (.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 4/3 binary32)))))))
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -8/45 (* (pow u2 2) (pow (PI) 6))) (* 4/3 (pow (PI) 4)))))))
(+.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -8/45 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 4/3 binary32))))))))
(* 2 (cos (* 2 (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* 2 (cos (* 2 (* u2 (PI)))))
(.f32 #s(literal 2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32))) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (-.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 4/45 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -2/315 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 4/45 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32)))) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* 1/2 u1)
(*.f32 u1 #s(literal 1/2 binary32))
(* u1 (+ 1/2 (* 1/3 u1)))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(* 1/4 (pow u1 3))
(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 1/4 binary32))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))
(* 1/4 (pow u1 3))
(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 1/4 binary32))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)) #s(literal -1/4 binary32)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)) #s(literal -1/4 binary32)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32)))))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
2
#s(literal 2 binary32)
(+ 2 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 2 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))
(+ 2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 2 binary32) (.f32 u2 (.f32 u2 (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))))
(+ 2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 2 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(+ 1 (cos (* 2 (* u2 (PI)))))
(+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))

eval140.0ms (0.9%)

Compiler: Compiled 39765 to 2917 computations (92.7% saved)

prune253.0ms (1.6%)

Pruning

75 alts after pruning (70 fresh and 5 done)

	Pruned	Kept	Total
New	1109	47	1156
Fresh	9	23	32
Picked	4	1	5
Done	0	4	4
Total	1122	75	1197

Accuracy

100.0%

Counts

1197 → 75

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.7%	(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
	83.7%	(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) (.f32 (.f32 u2 u2) u2)) (.f32 #s(literal -8 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) #s(literal 1 binary32)))))
	83.8%	(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
	83.1%	(.f32 (pow.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	94.0%	(.f32 (pow.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.3%	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	83.8%	(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	94.8%	(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.7%	(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
	94.4%	(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
	79.6%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	14.9%	(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	83.5%	(.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))) (/.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 u2 u2))))
	18.4%	(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	21.4%	(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	21.4%	(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
	18.4%	(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
▶	14.4%	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
	83.7%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (-.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
▶	83.6%	(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	83.7%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	94.8%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.7%	(.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
▶	83.8%	(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	94.8%	(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	96.4%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (.f32 u1 u1) u1))))) (log1p.f32 (-.f32 (.f32 u1 u1) (neg.f32 u1))))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
	94.5%	(.f32 (sqrt.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.6%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) #s(literal 1 binary32)) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	83.6%	(.f32 (sqrt.f32 (.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (/.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	83.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	94.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) #s(literal -2 binary32))))
	83.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
	83.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
▶	94.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))))
	82.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	93.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.9%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
	89.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
	89.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	79.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	89.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	83.6%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	83.4%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (neg.f32 u1)) #s(literal -1/4 binary32)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	94.4%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (neg.f32 u1)) #s(literal -1/4 binary32)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.6%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	83.6%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	86.6%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	86.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	71.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
	87.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (.f32 u1 u1) (.f32 #s(literal 0 binary32) u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))))) #s(literal 2 binary32)))
	87.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)))))))
	95.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
✓	87.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	79.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	59.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.4%	(.f32 (sqrt.f32 u1) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
	76.4%	(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	69.1%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	3.9%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
	76.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.7%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
✓	4.5%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
	92.0%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.5%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
	75.9%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))

Compiler

Compiled 5132 to 3074 computations (40.1% saved)

simplify240.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
✓	cost-diff	1024	(/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))
✓	cost-diff	1024	(cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))))
✓	cost-diff	1024	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))))
✓	cost-diff	512	(+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))))
✓	cost-diff	640	(/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))))))
✓	cost-diff	640	(sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))))))
✓	cost-diff	640	(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
✓	cost-diff	0	(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))
✓	cost-diff	0	(+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)
✓	cost-diff	0	(sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1))
✓	cost-diff	0	(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
✓	cost-diff	0	(.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))
✓	cost-diff	0	(*.f32 u1 u1)
✓	cost-diff	64	(+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
✓	cost-diff	64	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
✓	cost-diff	64	(.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))))
✓	cost-diff	64	(-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))))))
✓	cost-diff	64	(/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))))) #s(literal 2 binary32))
✓	cost-diff	64	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))))) #s(literal 2 binary32)))

Rules

4626×	`-lowering-.f32`
4626×	`-lowering-.f64`
2548×	`+-lowering-+.f64`
2548×	`+-lowering-+.f32`
1316×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	1055
1	264	877
2	885	868
3	4490	858
0	8179	858

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))) 2))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(/ (- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))) 2)
(- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2))))))))
(+ (cos (* 2 (* (PI) u2))) 1)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
1
(* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))
(- 1 (pow (cos (* (* (PI) u2) 2)) 3))
(pow (cos (* (* (PI) u2) 2)) 3)
(cos (* (* (PI) u2) 2))
(* (* (PI) u2) 2)
3
(/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2))))))
(+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))
(* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2))))
(+ 1 (cos (* (* (PI) u2) 2)))
(* (* u1 u1) (+ 1/2 (* (* u2 (* u2 (* (PI) (PI)))) -1)))
(* u1 u1)
u1
(+ 1/2 (* (* u2 (* u2 (* (PI) (PI)))) -1))
1/2
(* (* u2 (* u2 (* (PI) (PI)))) -1)
(* u2 (* u2 (* (PI) (PI))))
u2
(* u2 (* (PI) (PI)))
(* (PI) (PI))
(PI)
-1
(* (sqrt (+ (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) u1)) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(sqrt (+ (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) u1))
(+ (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) u1)
(* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
u1
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(* u1 u1)
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
1
(* u2 (* u2 (* -2 (* (PI) (PI)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(* -2 (* (PI) (PI)))
-2
(* (PI) (PI))
(PI)
(* (sqrt (/ (+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(sqrt (/ (+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))))
(/ (+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))
(+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))
(* (* u1 u1) u1)
(* u1 u1)
u1
(* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))
(* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))
(* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))
(- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))
(* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
1
(* u2 (* u2 (* -2 (* (PI) (PI)))))
u2
(* u2 (* -2 (* (PI) (PI))))
(* -2 (* (PI) (PI)))
-2
(* (PI) (PI))
(PI)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (/ (+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))) (+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2)))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(cos (/ (+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))) (+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2))))))
(/ (+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))) (+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2)))))
(+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)))
(* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(* (* u2 u2) u2)
(* u2 u2)
u2
(+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2))))
(* (* (PI) u2) (* (PI) u2))
(* (PI) u2)
(- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2)))

Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))) 2))
(/.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))) #s(literal 2 binary32))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(/ (- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))) 2)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) #s(literal 2 binary32))
(- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2))))))))
(-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(+ (cos (* 2 (* (PI) u2))) 1)
(+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(cos (* 2 (* (PI) u2)))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(* 2 (* (PI) u2))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
1
#s(literal 1 binary32)
(* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(- 1 (pow (cos (* (* (PI) u2) 2)) 3))
(-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 3 binary32)))
(pow (cos (* (* (PI) u2) 2)) 3)
(pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 3 binary32))
(cos (* (* (PI) u2) 2))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(* (* (PI) u2) 2)
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
3
#s(literal 3 binary32)
(/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))
(+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2))))
(.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+ 1 (cos (* (* (PI) u2) 2)))
(+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(* (* u1 u1) (+ 1/2 (* (* u2 (* u2 (* (PI) (PI)))) -1)))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) u2)))))
(* u1 u1)
(*.f32 u1 u1)
u1
(+ 1/2 (* (* u2 (* u2 (* (PI) (PI)))) -1))
(-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) u2))))
1/2
#s(literal 1/2 binary32)
(* (* u2 (* u2 (* (PI) (PI)))) -1)
(-.f32 #s(literal 0 binary32) (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) u2))))
(* u2 (* u2 (* (PI) (PI))))
(.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) u2)))
u2
(* u2 (* (PI) (PI)))
(.f32 (PI.f32) (.f32 (PI.f32) u2))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
-1
#s(literal -1 binary32)
(* (sqrt (+ (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) u1)) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) u2))))))
(sqrt (+ (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) u1))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(+ (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) u1)
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))
(* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))
1/2
#s(literal 1/2 binary32)
(* u1 (+ 1/3 (* u1 1/4)))
(.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))
u1
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(* u1 u1)
(*.f32 u1 u1)
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) u2)))))
1
#s(literal 1 binary32)
(* u2 (* u2 (* -2 (* (PI) (PI)))))
(.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) u2))))
u2
(* u2 (* -2 (* (PI) (PI))))
(.f32 (.f32 (PI.f32) (*.f32 (PI.f32) u2)) #s(literal -2 binary32))
(* -2 (* (PI) (PI)))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))
-2
#s(literal -2 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (sqrt (/ (+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) u2))))) (sqrt.f32 (/.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (+.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal -1 binary32))))))))
(sqrt (/ (+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))))
(sqrt.f32 (/.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (+.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) #s(literal -1 binary32)))))))
(/ (+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))
(/.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (+.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) #s(literal -1 binary32))))))
(+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))
(.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))
(* (* u1 u1) u1)
(.f32 u1 (.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
u1
(* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))
(.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 u1 u1))))
(* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))
(* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))
1/2
#s(literal 1/2 binary32)
(* u1 (+ 1/3 (* u1 1/4)))
(.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (+.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) #s(literal -1 binary32)))))
(- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))
(.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 u1 u1))) (+.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) #s(literal -1 binary32)))
(* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (*.f32 u1 u1)))
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) u2)))))
1
#s(literal 1 binary32)
(* u2 (* u2 (* -2 (* (PI) (PI)))))
(.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) u2))))
u2
(* u2 (* -2 (* (PI) (PI))))
(.f32 (.f32 (PI.f32) (*.f32 (PI.f32) u2)) #s(literal -2 binary32))
(* -2 (* (PI) (PI)))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))
-2
#s(literal -2 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (/ (+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))) (+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (*.f32 u2 u2)))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))
1/2
#s(literal 1/2 binary32)
(* u1 (+ 1/3 (* u1 1/4)))
(.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(cos (/ (+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))) (+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2))))))
(cos.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 u2 u2))))
(/ (+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))) (+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2)))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 u2 u2)))
(+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)))
(.f32 u2 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) u2))))))
(* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))
(.f32 u2 (.f32 (PI.f32) (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) u2)))))
(* (PI) (* (PI) (PI)))
(.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))
(PI)
(PI.f32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(* (* u2 u2) u2)
(.f32 u2 (.f32 u2 u2))
(* u2 u2)
(*.f32 u2 u2)
u2
(+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2))))
(.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) u2)))
(* (* (PI) u2) (* (PI) u2))
(.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) u2)))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2)))
#s(literal 0 binary32)

localize710.0ms (4.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	98.4%	(.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.0%	(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))
✓	accuracy	98.9%	(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
✓	accuracy	98.3%	(.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.1%	(.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))
✓	accuracy	99.0%	(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))
✓	accuracy	98.9%	(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.5%	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
✓	accuracy	99.1%	(.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
✓	accuracy	98.9%	(.f32 u2 (.f32 (PI.f32) (PI.f32)))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	98.9%	(.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))))
✓	accuracy	98.8%	(pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))
✓	accuracy	42.9%	(-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32)))

Results

454.0ms	218×	1	valid
32.0ms	38×	0	valid

Compiler

Compiled 1442 to 77 computations (94.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-mult: 122.0ms (39.2% of total)

ival-add: 43.0ms (13.8% of total)

backward-pass: 37.0ms (11.9% of total)

ival-cos: 19.0ms (6.1% of total)

ival-sqrt: 18.0ms (5.8% of total)

compiled-spec: 15.0ms (4.8% of total)

ival-div: 13.0ms (4.2% of total)

ival-sub: 9.0ms (2.9% of total)

ival-log: 9.0ms (2.9% of total)

...c/correct-round.rkt:119:19: 8.0ms (2.6% of total)

ival-pow: 8.0ms (2.6% of total)

ival-neg: 6.0ms (1.9% of total)

const: 3.0ms (1% of total)

ival-pi: 2.0ms (0.6% of total)

series53.0ms (0.3%)

Counts

30 → 408

Calls

Call 1

Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))) 2))>
#<alt (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))) 2)>
#<alt (- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2))))))))>
#<alt (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))>
#<alt (* (* u1 u1) (+ 1/2 (* (* u2 (* u2 (* (PI) (PI)))) -1)))>
#<alt (+ 1/2 (* (* u2 (* u2 (* (PI) (PI)))) -1))>
#<alt (* u1 u1)>
#<alt (* (* u2 (* u2 (* (PI) (PI)))) -1)>
#<alt (* (sqrt (+ (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) u1)) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))>
#<alt (sqrt (+ (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) u1))>
#<alt (+ (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) u1)>
#<alt (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))>
#<alt (* (sqrt (/ (+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))>
#<alt (sqrt (/ (+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))))>
#<alt (/ (+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))>
#<alt (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (/ (+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))) (+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2)))))))>
#<alt (cos (/ (+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))) (+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2))))))>
#<alt (/ (+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))) (+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2)))))>
#<alt (+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2))))>
#<alt (- 1 (pow (cos (* (* (PI) u2) 2)) 3))>
#<alt (pow (cos (* (* (PI) u2) 2)) 3)>
#<alt (* (PI) u2)>
#<alt (* (PI) (PI))>
#<alt (* u2 (* (PI) (PI)))>
#<alt (* u2 (* u2 (* (PI) (PI))))>
#<alt (* u2 (* -2 (* (PI) (PI))))>
#<alt (* u2 (* u2 (* -2 (* (PI) (PI)))))>
#<alt (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))>
#<alt (* (* (PI) u2) (* (PI) u2))>

Outputs
#<alt (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))))>
#<alt (+ (* -1/8 (* (sqrt (pow u1 3)) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))) (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))))>
#<alt (+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))) (* -1/12 (* (sqrt u1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))))))>
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#<alt (- 1 (pow (cos (* 2 (* u2 (PI)))) 3))>
#<alt (- 1 (pow (cos (* 2 (* u2 (PI)))) 3))>
#<alt (- 1 (pow (cos (* 2 (* u2 (PI)))) 3))>
#<alt 1>
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (+ (* 8 (pow (PI) 4)) (* (pow u2 2) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))))))))))))))>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (pow (PI) 2))>
#<alt (* u2 (pow (PI) 2))>
#<alt (* u2 (pow (PI) 2))>
#<alt (* u2 (pow (PI) 2))>
#<alt (* u2 (pow (PI) 2))>
#<alt (* u2 (pow (PI) 2))>
#<alt (* u2 (pow (PI) 2))>
#<alt (* u2 (pow (PI) 2))>
#<alt (* u2 (pow (PI) 2))>
#<alt (* u2 (pow (PI) 2))>
#<alt (* u2 (pow (PI) 2))>
#<alt (* u2 (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 u1)))>
#<alt (* (pow u1 4) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1)))))))>
#<alt (* 1/16 (pow u1 8))>
#<alt (* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1))))>
#<alt (* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))>
#<alt (* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))>
#<alt (* 1/16 (pow u1 8))>
#<alt (* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1))))>
#<alt (* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))>
#<alt (* (pow u1 8) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (pow (PI) 2))>

Calls

102 calls:

Time	Variable		Point	Expression
4.0ms	u2	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))) 2))
4.0ms	u2	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))) 2))
3.0ms	u2	@	-inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))) 2))
3.0ms	u2	@	0	(- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2))))))))
3.0ms	u2	@	0	(* (sqrt (/ (+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))

rewrite354.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2770×	`-lowering-.f32`
2770×	`-lowering-.f64`
1924×	`fma-lowering-fma.f32`
1924×	`fma-lowering-fma.f64`
1758×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	458
1	546	256
2	5236	256
0	8382	256

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 874

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))) 2))
(/ (- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))) 2)
(- (+ (cos (* 2 (* (PI) u2))) 1) (* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2))))))))
(* (- 1 (pow (cos (* (* (PI) u2) 2)) 3)) (/ 1 (+ 1 (* (cos (* (* (PI) u2) 2)) (+ 1 (cos (* (* (PI) u2) 2)))))))
(* (* u1 u1) (+ 1/2 (* (* u2 (* u2 (* (PI) (PI)))) -1)))
(+ 1/2 (* (* u2 (* u2 (* (PI) (PI)))) -1))
(* u1 u1)
(* (* u2 (* u2 (* (PI) (PI)))) -1)
(* (sqrt (+ (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) u1)) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(sqrt (+ (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) u1))
(+ (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) u1)
(* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))
(* (sqrt (/ (+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
(sqrt (/ (+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))))
(/ (+ (* (* u1 u1) u1) (* (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) (+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))
(+ (* u1 u1) (- (* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) (* u1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (/ (+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))) (+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2)))))))
(cos (/ (+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))) (+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2))))))
(/ (+ (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2)) (* (* (PI) (* (PI) (PI))) (* (* u2 u2) u2))) (+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2)))))
(+ (* (* (PI) u2) (* (PI) u2)) (- (* (* (PI) u2) (* (PI) u2)) (* (* (PI) u2) (* (PI) u2))))
(- 1 (pow (cos (* (* (PI) u2) 2)) 3))
(pow (cos (* (* (PI) u2) 2)) 3)
(* (PI) u2)
(* (PI) (PI))
(* u2 (* (PI) (PI)))
(* u2 (* u2 (* (PI) (PI))))
(* u2 (* -2 (* (PI) (PI))))
(* u2 (* u2 (* -2 (* (PI) (PI)))))
(* (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))
(* (* (PI) u2) (* (PI) u2))

Outputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))))))))
(/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32)))))))
(/.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32)))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))))))) #s(literal -2 binary32))
(/.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32)))))))
(/.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))))))) #s(literal -2 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32)))))))
(/.f32 (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32)))))) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))) #s(literal -2 binary32))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))))) #s(literal 2 binary32)))
(.f32 (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))))) (.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32)))))) #s(literal 1/2 binary32))
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))))) #s(literal -2 binary32)))
(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32))))
(pow.f32 (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32)))))) #s(literal -1 binary32))
(fma.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32)))))) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))))) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32)))))) #s(literal -2 binary32))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 3 binary32))) (.f32 #s(literal 2 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))))))))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))))))
(/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))))))) #s(literal 2 binary32))
(/.f32 (-.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) #s(literal 3 binary32))) (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32))) (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32))) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32))))))
(/.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)))) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32))))
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(.f32 (.f32 u2 (*.f32 (PI.f32) u2)) (PI.f32))
(.f32 (neg.f32 u2) (.f32 (PI.f32) (*.f32 (PI.f32) u2)))
(.f32 (neg.f32 (PI.f32)) (.f32 u2 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 (.f32 (PI.f32) u2) #s(literal 1 binary32)) (pow.f32 (*.f32 (PI.f32) u2) #s(literal 1 binary32)))
(.f32 (neg.f32 (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
(.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2))
(.f32 (neg.f32 (.f32 (PI.f32) (*.f32 (PI.f32) u2))) u2)
(.f32 (.f32 #s(literal -1 binary32) (PI.f32)) (.f32 u2 (.f32 (PI.f32) u2)))
(.f32 (.f32 #s(literal -1 binary32) u2) (.f32 (PI.f32) (.f32 (PI.f32) u2)))
(.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2))
(.f32 (.f32 #s(literal -1 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) u2)) (PI.f32)) u2)
(.f32 (.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) u2)) u2) (PI.f32))

simplify604.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

7344×	`-lowering-.f32`
7344×	`-lowering-.f64`
5630×	`+-lowering-+.f64`
5630×	`+-lowering-+.f32`
1672×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	728	11542
1	2596	9156
0	8782	9156

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))))
(+ (* -1/8 (* (sqrt (pow u1 3)) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))) (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))))
(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))) (* -1/12 (* (sqrt u1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))))))
(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))) (* u1 (+ (* -1/4 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))) (* -1/12 (* (sqrt (/ 1 u1)) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))))))))
(* 1/2 (* (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/4 (* (/ (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))
(* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))))
(+ (* -1/4 (* (/ (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))) (* 1/4 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))) (* -1/4 (* (/ (* (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))) u1)) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* 1/2 (* (* (pow u2 2) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 1/3 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
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(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 1/3 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))))) (* (pow u2 2) (+ (* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* -1/27 (pow (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) 2)) (+ (* 1/3 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))) (* 2/3 (pow (PI) 4)))) (* 1/3 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (- (* 1/3 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))) (* 1/9 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))))))))) (* 1/2 (* (* (pow u2 2) (* (sqrt -1) (- (+ (* -1/3 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (+ (* -1/27 (pow (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) 2)) (* 1/9 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))))) (+ (* -4/45 (pow (PI) 6)) (+ (* -1/27 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 1/3 (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6))))))))) (+ (* 1/3 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (- (* 1/3 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))) (+ (* 1/9 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (* 1/3 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (- (* 1/3 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))) (* 1/9 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))))))))) (* 1/3 (* (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))) (- (* 1/3 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))) (* 1/9 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))))))))) (sqrt (log (- 1 u1))))))))))
(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))))
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(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))))
(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))))
(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))))
1
(+ 1 (* 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 1/3 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))))))
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(* 1/2 (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))
(* 1/2 (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))
(* 1/2 (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))
(* 1/2 (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))
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(sqrt u1)
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u1
(* u1 (+ 1 (* 1/2 u1)))
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1
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(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
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(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
1
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))
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(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (+ (* 8 (pow (PI) 4)) (* (pow u2 2) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))))))))))))))
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow (cos (* 2 (* u2 (PI)))) 3)
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
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(* u2 (PI))
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(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 u1)))
(* (pow u1 4) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1)))))
(* (pow u1 4) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1)))))))
(* 1/16 (pow u1 8))
(* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))
(* 1/16 (pow u1 8))
(* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 8) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))

Outputs
(* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))))
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(+ (* -1/8 (* (sqrt (pow u1 3)) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))) (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))))
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(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))) (* -1/12 (* (sqrt u1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))))))
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(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))) (* u1 (+ (* -1/4 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))))) (* -1/12 (* (sqrt (/ 1 u1)) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))))))))))
(+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))))) (.f32 (.f32 u1 u1) (+.f32 (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (+.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))))) (.f32 u1 (+.f32 (.f32 (.f32 #s(literal -1/4 binary32) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))))) (.f32 (.f32 #s(literal -1/12 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (+.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))))))))))
(* 1/2 (* (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(.f32 #s(literal 1/2 binary32) (.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))))))
(+ (* -1/4 (* (/ (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (+ 1 (+ (cos (* 2 (* u2 (PI)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI)))))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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(.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (-.f32 (.f32 (.f32 u2 u2) (-.f32 (.f32 (+.f32 (+.f32 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal 16/35 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal 32/45 binary32))) (.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 16/3 binary32))))) (+.f32 (.f32 #s(literal 2/315 binary32) (pow.f32 (PI.f32) #s(literal 8 binary32))) (.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -128/45 binary32))))) (.f32 #s(literal -1 binary32) (.f32 u2 u2))) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 16/3 binary32)))) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/15 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -16/3 binary32)))))) (+.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 40/3 binary32))))) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 6 binary32))))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32)))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32)))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32)))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32)))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32)))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32)))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32)))
(- 1 (pow (cos (* 2 (* u2 (PI)))) 3))
(-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -6 binary32))))
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -6 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 40/3 binary32)))))))
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (+ (* 8 (pow (PI) 4)) (* (pow u2 2) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))))))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -6 binary32)) (.f32 (.f32 u2 u2) (+.f32 (+.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 40/3 binary32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 16/3 binary32)))) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/15 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -16/3 binary32))))))))))
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32))
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32))
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32))
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32))
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32))
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32))
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32))
(pow (cos (* 2 (* u2 (PI)))) 3)
(pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 3 binary32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (pow (PI) 2))
(.f32 u2 (.f32 (PI.f32) (PI.f32)))
(* u2 (pow (PI) 2))
(.f32 u2 (.f32 (PI.f32) (PI.f32)))
(* u2 (pow (PI) 2))
(.f32 u2 (.f32 (PI.f32) (PI.f32)))
(* u2 (pow (PI) 2))
(.f32 u2 (.f32 (PI.f32) (PI.f32)))
(* u2 (pow (PI) 2))
(.f32 u2 (.f32 (PI.f32) (PI.f32)))
(* u2 (pow (PI) 2))
(.f32 u2 (.f32 (PI.f32) (PI.f32)))
(* u2 (pow (PI) 2))
(.f32 u2 (.f32 (PI.f32) (PI.f32)))
(* u2 (pow (PI) 2))
(.f32 u2 (.f32 (PI.f32) (PI.f32)))
(* u2 (pow (PI) 2))
(.f32 u2 (.f32 (PI.f32) (PI.f32)))
(* u2 (pow (PI) 2))
(.f32 u2 (.f32 (PI.f32) (PI.f32)))
(* u2 (pow (PI) 2))
(.f32 u2 (.f32 (PI.f32) (PI.f32)))
(* u2 (pow (PI) 2))
(.f32 u2 (.f32 (PI.f32) (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 #s(literal -2 binary32) (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))
(* 1/4 (pow u1 4))
(*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(* (pow u1 4) (+ 1/4 (* 1/3 u1)))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1/3 binary32))))
(* (pow u1 4) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1)))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 13/36 binary32))))))
(* (pow u1 4) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1)))))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 (+.f32 #s(literal 13/36 binary32) (.f32 u1 #s(literal 1/6 binary32))))))))
(* 1/16 (pow u1 8))
(*.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 8 binary32)))
(* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 8 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/6 binary32) u1)))
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(.f32 (pow.f32 u1 #s(literal 8 binary32)) (+.f32 (/.f32 #s(literal 1/6 binary32) u1) (+.f32 (/.f32 #s(literal 13/36 binary32) (.f32 u1 u1)) #s(literal 1/16 binary32))))
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))
(.f32 (pow.f32 u1 #s(literal 8 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) u1) (/.f32 #s(literal 13/36 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/16 binary32))))
(* 1/16 (pow u1 8))
(*.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 8 binary32)))
(* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 8 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/6 binary32) u1)))
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(.f32 (pow.f32 u1 #s(literal 8 binary32)) (+.f32 (/.f32 #s(literal 1/6 binary32) u1) (+.f32 (/.f32 #s(literal 13/36 binary32) (.f32 u1 u1)) #s(literal 1/16 binary32))))
(* (pow u1 8) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))
(*.f32 (pow.f32 u1 #s(literal 8 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 13/36 binary32)) (neg.f32 u1)) #s(literal -1/6 binary32)) u1)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))

eval407.0ms (2.6%)

Compiler: Compiled 140178 to 6730 computations (95.2% saved)

prune480.0ms (3%)

Pruning

95 alts after pruning (89 fresh and 6 done)

	Pruned	Kept	Total
New	2130	44	2174
Fresh	20	45	65
Picked	4	1	5
Done	0	5	5
Total	2154	95	2249

Accuracy

100.0%

Counts

2249 → 95

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.7%	(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 u2 u2)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 u2 u2))))
	83.7%	(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) (.f32 (.f32 u2 u2) u2)) (.f32 #s(literal -8 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) #s(literal 1 binary32)))))
	14.4%	(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
	14.4%	(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
	83.8%	(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
	74.3%	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	83.8%	(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	94.8%	(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.7%	(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 u2 u2))))
	83.5%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	14.4%	(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
	18.4%	(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	14.9%	(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	21.4%	(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	83.3%	(.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 u2 u2)))))
	14.4%	(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
	21.4%	(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	14.4%	(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
	14.4%	(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
	21.4%	(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
	18.4%	(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
	21.4%	(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
	14.4%	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
	14.4%	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
	14.4%	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
	14.4%	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
	4.9%	(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
	14.3%	(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
	83.7%	(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	84.5%	(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	82.6%	(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	83.7%	(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal 1/12 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	82.8%	(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	81.1%	(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	83.7%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	94.8%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.6%	(.f32 (sqrt.f32 (/.f32 (.f32 (.f32 u1 u1) (+.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 u1 u1)))))))) (+.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	83.6%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	83.7%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	83.8%	(.f32 (sqrt.f32 (+.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	94.8%	(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	82.4%	(.f32 (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	79.5%	(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	96.4%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (.f32 u1 u1) u1))))) (log1p.f32 (-.f32 (.f32 u1 u1) (neg.f32 u1))))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
	94.5%	(.f32 (sqrt.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.7%	(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	83.6%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) #s(literal 1 binary32)) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	83.6%	(.f32 (sqrt.f32 (.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (/.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	83.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	94.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) #s(literal -2 binary32))))
	83.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
	87.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
	83.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
	77.8%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))))))))
	94.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (neg.f32 (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))))
	94.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))))))))))
	94.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) u2)) u2))))))
	94.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 u2)))))
	94.7%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))
	82.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	93.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.9%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
	89.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
	89.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	79.4%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	89.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	83.6%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	83.4%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (neg.f32 u1)) #s(literal -1/4 binary32)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	94.4%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (neg.f32 u1)) #s(literal -1/4 binary32)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	48.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
	87.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (.f32 u1 u1) (.f32 #s(literal 0 binary32) u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))))) #s(literal 2 binary32)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))))) #s(literal 2 binary32)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)))))))
	95.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
✓	87.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	79.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	59.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.4%	(.f32 (sqrt.f32 u1) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
	76.4%	(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	69.1%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
	3.9%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
	76.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.7%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
✓	4.5%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
	92.0%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.5%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
	75.9%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))

Compiler

Compiled 8479 to 2783 computations (67.2% saved)

regimes460.0ms (2.9%)

Counts

139 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
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(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) u2)) u2))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (neg.f32 (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (exp.f32 (.f32 (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(.f32 (pow.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 (.f32 u1 u1) u1))))) (log1p.f32 (-.f32 (.f32 u1 u1) (neg.f32 u1))))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))

Calls

10 calls:

55.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
50.0ms	(-.f32 #s(literal 1 binary32) u1)
49.0ms	cosTheta_i
42.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
41.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
99.2%	1	`cosTheta_i`
99.2%	1	`u1`
99.2%	1	`u2`
99.2%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
99.2%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.2%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.2%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.2%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.2%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.2%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes204.0ms (1.3%)

Counts

104 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
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(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) u2)) u2))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (neg.f32 (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (/.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) u2))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))))))))))

Outputs

(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

5 calls:

54.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
34.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
32.0ms	cosTheta_i
30.0ms	u2
28.0ms	u1

Results

Accuracy	Segments	Branch
94.8%	1	`cosTheta_i`
98.1%	2	`u1`
98.4%	2	`u2`
98.4%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.4%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes132.0ms (0.8%)

Counts

92 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) #s(literal -2 binary32))))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 u2 u2))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 u2 u2)))))
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(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (pow.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (.f32 u1 u1) (.f32 #s(literal 0 binary32) u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (neg.f32 u1)) #s(literal -1/4 binary32)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

3 calls:

53.0ms	u2
31.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
25.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
98.4%	2	`u2`
98.4%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
98.4%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes440.0ms (2.8%)

Counts

82 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) #s(literal -2 binary32))))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 u2 u2))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 u2 u2)))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (neg.f32 u1)) #s(literal -1/4 binary32)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 u2 u2)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 u2 u2))))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) #s(literal 1 binary32)) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (-.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (/.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) (.f32 (.f32 u2 u2) u2)) (.f32 #s(literal -8 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal 1/12 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (.f32 u1 u1) (+.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 u1 u1)))))))) (+.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

5 calls:

43.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
38.0ms	u2
31.0ms	u1
27.0ms	cosTheta_i
20.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
93.0%	1	`cosTheta_i`
97.3%	2	`u1`
97.9%	2	`u2`
97.8%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes120.0ms (0.8%)

Counts

79 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
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(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (/.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) (.f32 (.f32 u2 u2) u2)) (.f32 #s(literal -8 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal 1/12 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (.f32 u1 u1) (+.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 u1 u1)))))))) (+.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

4 calls:

28.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
24.0ms	u2
23.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
22.0ms	u1

Results

Accuracy	Segments	Branch
96.1%	2	`u1`
96.8%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.9%	2	`u2`
96.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes199.0ms (1.3%)

Counts

77 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
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(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal 1/12 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (.f32 u1 u1) (+.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 u1 u1)))))))) (+.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

5 calls:

43.0ms	cosTheta_i
34.0ms	u1
30.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
26.0ms	u2
22.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
89.2%	1	`cosTheta_i`
93.9%	2	`u1`
95.1%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
95.1%	2	`u2`
95.1%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes142.0ms (0.9%)

Counts

76 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) #s(literal -2 binary32))))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
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(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))

Outputs

(*.f32 (sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

5 calls:

30.0ms	cosTheta_i
25.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
21.0ms	u2
21.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
21.0ms	u1

Results

Accuracy	Segments	Branch
84.5%	1	`cosTheta_i`
88.9%	2	`u1`
90.9%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
91.3%	2	`u2`
91.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes102.0ms (0.6%)

Counts

72 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) #s(literal -2 binary32))))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 u2 u2))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 u2 u2)))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (neg.f32 u1)) #s(literal -1/4 binary32)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 u2 u2)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 u2 u2))))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) #s(literal 1 binary32)) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (-.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (/.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) (.f32 (.f32 u2 u2) u2)) (.f32 #s(literal -8 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal 1/12 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (.f32 u1 u1) (+.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 u1 u1)))))))) (+.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))

Outputs

(*.f32 (sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

3 calls:

36.0ms	cosTheta_i
20.0ms	u1
20.0ms	u2

Results

Accuracy	Segments	Branch
84.5%	1	`cosTheta_i`
84.5%	1	`u1`
84.5%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes72.0ms (0.5%)

Counts

69 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
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(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal -1/12 binary32)) #s(literal -1/2 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 #s(literal 1/12 binary32)) #s(literal -1/12 binary32))) #s(literal -1/2 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (.f32 (.f32 u1 u1) (+.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 (.f32 u1 u1)))))))) (+.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) (-.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))

Outputs

(*.f32 (sqrt.f32 (+.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

3 calls:

21.0ms	cosTheta_i
20.0ms	u1
20.0ms	u2

Results

Accuracy	Segments	Branch
83.8%	1	`u2`
83.8%	1	`cosTheta_i`
83.8%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes50.0ms (0.3%)

Counts

45 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) #s(literal -2 binary32))))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 u2 u2))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))

Outputs

(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

3 calls:

15.0ms	u2
14.0ms	u1
13.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
83.8%	1	`u2`
83.8%	1	`cosTheta_i`
83.8%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes44.0ms (0.3%)

Counts

41 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) #s(literal -2 binary32))))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))

Calls

3 calls:

13.0ms	cosTheta_i
13.0ms	u2
12.0ms	u1

Results

Accuracy	Segments	Branch
83.7%	1	`u2`
83.7%	1	`cosTheta_i`
83.7%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes43.0ms (0.3%)

Counts

39 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))

Calls

3 calls:

13.0ms	u1
12.0ms	u2
11.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
83.7%	1	`cosTheta_i`
83.7%	1	`u2`
83.7%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes47.0ms (0.3%)

Counts

38 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

3 calls:

18.0ms	cosTheta_i
12.0ms	u1
11.0ms	u2

Results

Accuracy	Segments	Branch
83.7%	1	`cosTheta_i`
83.7%	1	`u2`
83.7%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes41.0ms (0.3%)

Counts

37 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))

Outputs

(*.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

3 calls:

12.0ms	cosTheta_i
11.0ms	u1
10.0ms	u2

Results

Accuracy	Segments	Branch
82.4%	1	`u2`
82.4%	1	`cosTheta_i`
82.4%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes39.0ms (0.2%)

Counts

36 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

3 calls:

12.0ms	u1
10.0ms	cosTheta_i
10.0ms	u2

Results

Accuracy	Segments	Branch
82.3%	1	`u1`
82.3%	1	`cosTheta_i`
82.3%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes39.0ms (0.2%)

Counts

35 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Outputs
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

3 calls:

12.0ms	cosTheta_i
11.0ms	u1
10.0ms	u2

Results

Accuracy	Segments	Branch
79.5%	1	`u1`
79.5%	1	`u2`
79.5%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes39.0ms (0.2%)

Counts

34 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

3 calls:

12.0ms	u1
12.0ms	u2
10.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
79.4%	1	`u1`
79.4%	1	`cosTheta_i`
79.4%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes36.0ms (0.2%)

Counts

33 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))

Outputs

(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))

(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))

Calls

3 calls:

12.0ms	u1
10.0ms	cosTheta_i
9.0ms	u2

Results

Accuracy	Segments	Branch
75.9%	1	`cosTheta_i`
75.9%	1	`u1`
79.5%	2	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes38.0ms (0.2%)

Counts

31 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))

(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))

Calls

3 calls:

11.0ms	cosTheta_i
10.0ms	u2
9.0ms	u1

Results

Accuracy	Segments	Branch
74.9%	1	`u1`
74.9%	1	`cosTheta_i`
78.5%	2	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes35.0ms (0.2%)

Counts

30 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))

(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))

Calls

3 calls:

12.0ms	cosTheta_i
9.0ms	u1
9.0ms	u2

Results

Accuracy	Segments	Branch
72.5%	1	`u1`
72.5%	1	`cosTheta_i`
76.2%	2	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.1%)

Counts

29 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Outputs

(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))

(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

1 calls:

15.0ms

u2

Results

Accuracy	Segments	Branch
76.2%	2	`u2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.1%)

Counts

28 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))

Outputs
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))

Calls

2 calls:

9.0ms	cosTheta_i
8.0ms	u2

Results

Accuracy	Segments	Branch
72.5%	1	`cosTheta_i`
72.5%	1	`u2`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes30.0ms (0.2%)

Counts

26 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))

Outputs
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))

Calls

3 calls:

9.0ms	cosTheta_i
9.0ms	u1
8.0ms	u2

Results

Accuracy	Segments	Branch
64.7%	1	`u1`
64.7%	1	`u2`
64.7%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes29.0ms (0.2%)

Counts

25 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal -1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (.f32 u1 u1))))))
(/.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32)))) (+.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) #s(literal 1/8 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))

Outputs

(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))

Calls

3 calls:

9.0ms	u1
9.0ms	cosTheta_i
7.0ms	u2

Results

Accuracy	Segments	Branch
21.4%	1	`cosTheta_i`
21.4%	1	`u2`
21.4%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes32.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 (.f32 u2 u2)))))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))))))

Outputs

(*.f32 (*.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (*.f32 #s(literal -7/18 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))))) u1)))

Calls

3 calls:

17.0ms	u2
6.0ms	u1
6.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
21.4%	1	`cosTheta_i`
21.4%	1	`u2`
21.4%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes29.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))
(.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 u2 (.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) #s(literal 1/4 binary32)) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))

Outputs

(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

3 calls:

14.0ms	cosTheta_i
8.0ms	u1
6.0ms	u2

Results

Accuracy	Segments	Branch
21.4%	1	`cosTheta_i`
21.4%	1	`u2`
21.4%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))

Outputs

(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

3 calls:

6.0ms	u2
4.0ms	u1
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
21.4%	1	`u2`
21.4%	1	`cosTheta_i`
21.4%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Outputs

(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))

Calls

3 calls:

4.0ms	u1
4.0ms	cosTheta_i
3.0ms	u2

Results

Accuracy	Segments	Branch
18.4%	1	`cosTheta_i`
18.4%	1	`u2`
18.4%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 u2) (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))))
(+.f32 (.f32 (.f32 u1 u1) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))

Outputs
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))

Calls

3 calls:

6.0ms	u2
3.0ms	cosTheta_i
3.0ms	u1

Results

Accuracy	Segments	Branch
14.4%	1	`cosTheta_i`
14.4%	1	`u2`
14.4%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) u1)
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (*.f32 u1 u1))

Outputs
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))

Calls

3 calls:

4.0ms	u2
2.0ms	cosTheta_i
2.0ms	u1

Results

Accuracy	Segments	Branch
14.4%	1	`u1`
14.4%	1	`u2`
14.4%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -3.1b remaining (-11.4%)

Threshold costs -3.1b (-11.4%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))

Outputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))

Calls

3 calls:

1.0ms	cosTheta_i
1.0ms	u1
1.0ms	u2

Results

Accuracy	Segments	Branch
14.3%	1	`cosTheta_i`
14.3%	1	`u1`
14.3%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9991843700408936	0.999199628829956

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9991843700408936	0.999199628829956

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07571478188037872	0.07690928131341934

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.09897090494632721	0.10030128061771393

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch3.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004234512452967465	0.0005167035269550979

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.12907034158706665	0.1324464976787567

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0015694492030888796	0.0016100163338705897

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0015694492030888796	0.0016100163338705897

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0005225143977440894	0.0005226688226684928

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0005225143977440894	0.0005226688226684928

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

216×	`*-commutative_binary32`
134×	`+-commutative_binary32`
72×	`sub-neg_binary32`
66×	`neg-sub0_binary32`
64×	`neg-mul-1_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	1018
1	312	1017
2	343	1016
3	378	1016
4	421	1016
5	468	1016
6	504	1016
7	537	1016
8	560	1016
9	571	1016
10	576	1016
11	577	1016

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8381813/8388608 binary32)) (.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8381813/8388608 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 10200547/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/17179869184 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1090519/8388608 binary32)) (.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 13743895/8589934592 binary32)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 13743895/8589934592 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 1122275/2147483648 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 1122275/2147483648 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8381813/8388608 binary32)) (.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 8381813/8388608 binary32)) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8381813/8388608 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 8381813/8388608 binary32)) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 10200547/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 10200547/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13421773/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/17179869184 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 8589935/17179869184 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1090519/8388608 binary32)) (.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1090519/8388608 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (/.f32 (+.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))))))) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (/.f32 (+.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (/.f32 (+.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1))))) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1))) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))))))))
(.f32 (sqrt.f32 (+.f32 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (+.f32 u1 (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (+.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 #s(literal -2 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(.f32 (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (+.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (+.f32 u1 (.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(if (<=.f32 u2 #s(literal 13743895/8589934592 binary32)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 13743895/8589934592 binary32)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2)))))
(if (<=.f32 u2 #s(literal 13743895/8589934592 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 13743895/8589934592 binary32)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2)))))
(if (<=.f32 u2 #s(literal 1122275/2147483648 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 1122275/2147483648 binary32)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2)))))
(if (<=.f32 u2 #s(literal 1122275/2147483648 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u2 #s(literal 1122275/2147483648 binary32)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 u1)
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 #s(literal -7/9 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2)))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))) (/.f32 (+.f32 #s(literal 7/18 binary32) (.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) #s(literal -7/9 binary32))) (*.f32 u1 u1)))))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 #s(literal -7/18 binary32) (.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) u1)))
(.f32 (.f32 u1 u1) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -7/18 binary32) (.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2)) #s(literal -7/18 binary32))) u1) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) #s(literal 2/3 binary32)))) u1)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))))
(.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (.f32 u1 u1))

soundness2.4s (15.3%)

Rules

8704×	`-lowering-.f32`
8704×	`-lowering-.f64`
7344×	`-lowering-.f32`
7344×	`-lowering-.f64`
6826×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	458
1	546	256
2	5236	256
0	8382	256
0	728	11542
1	2596	9156
0	8782	9156
0	659	7046
1	2271	5647
0	8269	5647
0	306	3405
1	982	2777
2	3481	2544
0	8034	2544
0	48	258
1	288	230
2	2696	187
0	8642	187
0	13	13
1	25	12
2	38	12
3	48	12
4	62	12
5	79	12
6	101	12
7	115	12
8	127	12
9	128	12
0	128	12
0	698	6501
1	2495	5256
0	9220	5256

Stop Event

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

Compiler

Compiled 3888 to 2335 computations (39.9% saved)

preprocess154.0ms (1%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 3330 to 1466 computations (56% saved)

analyze449.0ms (2.8%)

sample2.3s (14.4%)

preprocess79.0ms (0.5%)

explain133.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize93.0ms (0.6%)

series68.0ms (0.4%)

rewrite263.0ms (1.7%)

simplify332.0ms (2.1%)

eval40.0ms (0.3%)

prune84.0ms (0.5%)

simplify314.0ms (2%)

localize490.0ms (3.1%)

series116.0ms (0.7%)

rewrite435.0ms (2.7%)

simplify426.0ms (2.7%)

eval210.0ms (1.3%)

prune360.0ms (2.3%)

simplify189.0ms (1.2%)

localize286.0ms (1.8%)

series52.0ms (0.3%)

rewrite334.0ms (2.1%)

simplify428.0ms (2.7%)

eval140.0ms (0.9%)

prune253.0ms (1.6%)

simplify240.0ms (1.5%)

localize710.0ms (4.5%)

series53.0ms (0.3%)

rewrite354.0ms (2.2%)

simplify604.0ms (3.8%)

eval407.0ms (2.6%)

prune480.0ms (3%)

regimes460.0ms (2.9%)

regimes204.0ms (1.3%)

regimes132.0ms (0.8%)

regimes440.0ms (2.8%)

regimes120.0ms (0.8%)

regimes199.0ms (1.3%)

regimes142.0ms (0.9%)

regimes102.0ms (0.6%)

regimes72.0ms (0.5%)

regimes50.0ms (0.3%)

regimes44.0ms (0.3%)

regimes43.0ms (0.3%)

regimes47.0ms (0.3%)

regimes41.0ms (0.3%)

regimes39.0ms (0.2%)

regimes39.0ms (0.2%)

regimes39.0ms (0.2%)

regimes36.0ms (0.2%)

regimes38.0ms (0.2%)

regimes35.0ms (0.2%)

regimes21.0ms (0.1%)

regimes22.0ms (0.1%)

regimes30.0ms (0.2%)

regimes29.0ms (0.2%)

regimes32.0ms (0.2%)

regimes29.0ms (0.2%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify41.0ms (0.3%)

soundness2.4s (15.3%)

preprocess154.0ms (1%)

end0.0ms (0%)

Profiling