Metrics for Beckmann Sample, near normal, slope

analyze503.0ms (3.1%)

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: 324.0ms

...c/correct-round.rkt:119:19: 93.0ms (28.7% of total)

ival-mult: 74.0ms (22.8% of total)

ival-<=: 37.0ms (11.4% of total)

ival-log: 34.0ms (10.5% of total)

ival-cos: 22.0ms (6.8% of total)

ival-sub: 13.0ms (4% of total)

ival-and: 12.0ms (3.7% of total)

ival-sqrt: 12.0ms (3.7% of total)

ival-neg: 9.0ms (2.8% of total)

ival-pi: 7.0ms (2.2% of total)

ival->: 7.0ms (2.2% of total)

const: 2.0ms (0.6% of total)

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

sample2.6s (16%)

Results

2.1s	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: 516.0ms (33.1% of total)

ival-mult: 205.0ms (13.1% of total)

ival-cos: 193.0ms (12.4% of total)

ival-log: 174.0ms (11.2% of total)

ival-<=: 124.0ms (8% of total)

ival-sub: 106.0ms (6.8% of total)

ival-sqrt: 59.0ms (3.8% of total)

ival-and: 53.0ms (3.4% of total)

ival-pi: 43.0ms (2.8% of total)

ival-neg: 40.0ms (2.6% of total)

ival->: 35.0ms (2.2% of total)

const: 9.0ms (0.6% of total)

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

Bogosity

preprocess75.0ms (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)

explain196.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
190	4	(0.9999178647994995 0.005378897301852703 5.774344117526198e-6)	5	(0.9999331831932068 0.010973060503602028 2.6137291442296373e-8)	`(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

133.0ms

512×

valid

Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-log: 11.0ms (28.1% of total)

ival-mult: 10.0ms (25.5% of total)

ival-cos: 6.0ms (15.3% of total)

ival-sqrt: 4.0ms (10.2% of total)

ival-sub: 3.0ms (7.7% of total)

ival-pi: 2.0ms (5.1% of total)

ival-neg: 2.0ms (5.1% of total)

const: 1.0ms (2.6% 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
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	62.7%	(.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

▶

99.1%

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

▶

62.7%

(*.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)

simplify8.0ms (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

localize132.0ms (0.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
✓	accuracy	99.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	accuracy	99.1%	(*.f32 (PI.f32) u2)
✓	accuracy	99.6%	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	accuracy	99.5%	(.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	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	60.7%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

88.0ms

256×

valid

Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-log: 10.0ms (23.4% of total)

ival-mult: 9.0ms (21% of total)

ival-cos: 6.0ms (14% of total)

compiled-spec: 6.0ms (14% of total)

ival-sqrt: 4.0ms (9.4% of total)

ival-neg: 4.0ms (9.4% of total)

ival-sub: 2.0ms (4.7% of total)

ival-pi: 1.0ms (2.3% of total)

ival-add: 1.0ms (2.3% of total)

const: 1.0ms (2.3% of total)

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

series48.0ms (0.3%)

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
28.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
6.0ms	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)))

rewrite209.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2892×	`-lowering-.f32`
2892×	`-lowering-.f64`
1298×	`unpow-prod-down`
1260×	`pow-lowering-pow.f64`
1260×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	71	62
2	237	62
3	1390	62
0	8245	62

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 309

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

simplify330.0ms (2%)

Algorithm

1×	egg-herbie

Rules

5680×	`-lowering-.f32`
5680×	`-lowering-.f64`
3272×	`+-lowering-+.f64`
3272×	`+-lowering-+.f32`
2402×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	3405
1	982	2777
2	3480	2549
0	8031	2549

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

eval42.0ms (0.3%)

Compiler: Compiled 11649 to 1215 computations (89.6% saved)

prune82.0ms (0.5%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	442	23	465
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	442	25	467

Accuracy

99.7%

Counts

467 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.2%	(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
	60.2%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	92.3%	(.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)))
	90.2%	(.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)))
	85.7%	(.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)))
	98.9%	(.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 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32)))))
	44.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (neg.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 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 2 binary32) (+.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)))))) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (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)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (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)))))))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (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) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32))) #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))) #s(literal -2 binary32))))
▶	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 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)))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (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))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
	89.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	92.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.f32 u2)))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/9 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	80.6%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	62.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	60.3%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.8%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	60.3%	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 1293 to 875 computations (32.3% saved)

simplify134.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	3392	(+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32))))
✓	cost-diff	7040	(+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 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))))
✓	cost-diff	7040	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 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)))))
✓	cost-diff	3328	(-.f32 (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)))))
✓	cost-diff	3456	(+.f32 #s(literal 1 binary32) (-.f32 (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))))))
✓	cost-diff	3584	(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (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))
✓	cost-diff	3584	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (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)))
✓	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	(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	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	128	(-.f32 #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))))
✓	cost-diff	3648	(+.f32 (/.f32 (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) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)))))
✓	cost-diff	3648	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (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) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))))

Rules

1858×	`sum3-define`
1554×	`fma-define`
1456×	`fma-lowering-fma.f32`
1456×	`fma-lowering-fma.f64`
1396×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	557
1	134	525
2	466	500
3	1684	428
4	5606	381
0	8313	381

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize368.0ms (2.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 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)))))
✓	accuracy	99.1%	(*.f32 (PI.f32) u2)
✓	accuracy	37.8%	(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)))
✓	accuracy	37.8%	(+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (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)))
✓	accuracy	99.4%	(-.f32 (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)))))
✓	accuracy	99.1%	(*.f32 (PI.f32) u2)
✓	accuracy	37.8%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
✓	accuracy	99.2%	(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
✓	accuracy	99.2%	(.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 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	99.0%	(.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))))))))
✓	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	99.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (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) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))))
✓	accuracy	99.1%	(*.f32 (PI.f32) u2)
✓	accuracy	37.8%	(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)))

Results

225.0ms

256×

valid

Compiler

Compiled 537 to 46 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-add: 38.0ms (30.4% of total)

compiled-spec: 32.0ms (25.6% of total)

ival-mult: 22.0ms (17.6% of total)

ival-cos: 6.0ms (4.8% of total)

ival-sub: 5.0ms (4% of total)

ival-div: 4.0ms (3.2% of total)

ival-log: 4.0ms (3.2% of total)

ival-sqrt: 4.0ms (3.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (3.2% of total)

ival-neg: 4.0ms (3.2% of total)

ival-pi: 1.0ms (0.8% of total)

const: 1.0ms (0.8% of total)

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

series44.0ms (0.3%)

Counts

26 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
8.0ms	u1	@	-inf	(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))
3.0ms	u1	@	-inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (/ (cos (* 2 (* (PI) u2))) 2) (- 1/2 (+ 1/2 (* (cos (* 2 (* (PI) u2))) -1/2)))))
2.0ms	u2	@	inf	(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ (cos (* 2 (* (PI) u2))) (+ -1/2 (/ (cos (* 2 (* (PI) u2))) 2))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) -1/2))))
1.0ms	u2	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (/ (cos (* 2 (* (PI) u2))) 2) (- 1/2 (+ 1/2 (* (cos (* 2 (* (PI) u2))) -1/2)))))

rewrite321.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2280×	`-lowering-.f32`
2280×	`-lowering-.f64`
1606×	`fnmadd-define`
1472×	`+-lowering-+.f64`
1472×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	329
1	176	285
2	756	211
3	4568	211
0	8148	211

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1228

Calls

Call 1

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

Outputs
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(neg.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) (/.f32 #s(literal -1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(neg.f32 (/.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) #s(literal -2 binary32)))
(exp.f32 (.f32 (log.f32 (/.f32 #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)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #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 -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.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 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))
(+.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 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 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(+.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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)) #s(literal 1/2 binary32)))
(+.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)))))
(+.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))) (.f32 (+.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))) (+.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))))
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(+.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 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.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 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))
(+.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 #s(literal 2 binary32) (.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 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)))))
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.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 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))) (.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))) (+.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 #s(literal 2 binary32) (.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 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))))
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (+.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))))
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.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 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32)))))
(+.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.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 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))))
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))))
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32))))
(+.f32 (.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.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 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))))
(+.f32 (.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))))
(+.f32 (.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32))))
(+.f32 (+.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 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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)) #s(literal 1/2 binary32)))
(+.f32 (+.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))))
(+.f32 (+.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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)) (cos.f32 (.f32 #s(literal 2 binary32) (.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 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))))
(+.f32 (+.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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)) #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 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))))
(pow.f32 (/.f32 #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)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #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)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 #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 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.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 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))
(fma.f32 #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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32))))
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(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32))) (neg.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))))
(+.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32))) (neg.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 1 binary32) (neg.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))))
(fma.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 1/2 binary32) (neg.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))))
(fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))))
(fma.f32 #s(literal -1 binary32) (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))))
(-.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 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32))))
(-.f32 #s(literal 0 binary32) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)))
(-.f32 (-.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)))
(-.f32 (+.f32 #s(literal 1/2 binary32) (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal -1/2 binary32))
(.f32 #s(literal -2 binary32) (.f32 (sin.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32))) (sin.f32 (/.f32 (+.f32 #s(literal 0 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)))))
(neg.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32))))
(+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32)) #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 2 binary32)))
(+.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32)))
(+.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32)) #s(literal 0 binary32))
(+.f32 (.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(+.f32 (+.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))
(fma.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal -1/2 binary32))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))
(fma.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -1 binary32))
(fma.f32 #s(literal -1/2 binary32) (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -1/2 binary32))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) #s(literal -1 binary32))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) (neg.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 4 binary32)) #s(literal -1/2 binary32))))
(fma.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (neg.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 4 binary32)) #s(literal -1/2 binary32))))
(fma.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -1/2 binary32) #s(literal -1/2 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)) #s(literal -1/2 binary32))
(fma.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 1/2 binary32) #s(literal -1 binary32))
(fma.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 1/4 binary32) (neg.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 4 binary32)) #s(literal -1/2 binary32))))
(fma.f32 (.f32 #s(literal 1 binary32) (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1/2 binary32) #s(literal -1/2 binary32))
(-.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(-.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #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 -2 binary32)))
(-.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.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 4 binary32)) #s(literal -1/2 binary32)))
(-.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 4 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32))
(/.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)) #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 -2 binary32))) #s(literal -1 binary32))
(.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1/2 binary32))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))))
(.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))
(expm1.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) u2))) #s(literal 2 binary32)))

simplify363.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

5552×	`-lowering-.f32`
5552×	`-lowering-.f64`
4240×	`+-lowering-+.f64`
4240×	`+-lowering-+.f32`
1906×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	835	7155
1	2967	5762
0	9228	5762

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* -1/6 (* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))))
(* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (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 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (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 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(+ (* -1/2 (* (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))) (* -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))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (* (pow u2 2) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (sqrt (log (- 1 u1)))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (* (pow u2 2) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (sqrt (log (- 1 u1)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6))))) (sqrt (log (- 1 u1)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
1
(+ 1 (* (pow u2 2) (- (* -1 (pow (PI) 2)) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (- (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6))))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
1/2
(+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))
(+ 1/2 (* (pow u2 2) (- (* 1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2))))
(+ 1/2 (* (pow u2 2) (- (* (pow u2 2) (- (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* -1/3 (pow (PI) 4)))) (pow (PI) 2))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* 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))))))
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eval189.0ms (1.2%)

Compiler: Compiled 62611 to 3945 computations (93.7% saved)

prune332.0ms (2%)

Pruning

50 alts after pruning (47 fresh and 3 done)

	Pruned	Kept	Total
New	2035	41	2076
Fresh	12	6	18
Picked	4	1	5
Done	0	2	2
Total	2051	50	2101

Accuracy

99.9%

Counts

2101 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.3%	(+.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 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 1/2 binary32))) (.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 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))))
	60.2%	(+.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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)) #s(literal 1/2 binary32)))
	4.7%	(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
▶	84.0%	(+.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
	91.8%	(.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)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))))
	60.2%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (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))))
	86.1%	(.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)))
	16.1%	(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	22.7%	(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	19.3%	(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	15.3%	(.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.4%	(.f32 (sqrt.f32 (+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 (.f32 u1 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.5%	(.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)))
	92.1%	(.f32 (sqrt.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	90.2%	(.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 (+.f32 #s(literal 1 binary32) (-.f32 (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)))
	90.2%	(.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)))
	74.7%	(.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))
	85.7%	(.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)))
	71.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	92.2%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (.f32 u1 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)) (+.f32 #s(literal 3/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32)))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32)))
	89.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 2 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 -2 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 -2 binary32)))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))))
	93.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (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))))))) #s(literal 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)))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 (cos.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2))))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
	89.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -3 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32)))))
	89.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	80.6%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	62.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.6%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	60.3%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.9%	(.f32 (sqrt.f32 u1) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (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)))
▶	72.8%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.1%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
▶	4.7%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
	90.0%	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (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))))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.2%	(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)))))))))
	52.7%	(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
	52.7%	(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))

Compiler

Compiled 2489 to 1746 computations (29.9% saved)

simplify193.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	3328	(-.f32 (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)))))
✓	cost-diff	3456	(+.f32 #s(literal 1 binary32) (-.f32 (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))))))
✓	cost-diff	3584	(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (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))
✓	cost-diff	3584	(.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 (+.f32 #s(literal 1 binary32) (-.f32 (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)))
✓	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	3648	(+.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 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
✓	cost-diff	0	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	cost-diff	0	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(*.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	128	(+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32))
✓	cost-diff	128	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))

Rules

2008×	`fma-lowering-fma.f32`
2008×	`fma-lowering-fma.f64`
1524×	`sum3-define`
1468×	`-lowering-.f32`
1468×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	407
1	147	360
2	407	346
3	1466	332
4	4429	324
5	5776	324
0	8079	324

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize324.0ms (2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(*.f32 (PI.f32) u2)
✓	accuracy	99.1%	(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
✓	accuracy	97.1%	(PI.f32)
✓	accuracy	39.9%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
✓	accuracy	98.9%	(.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))
✓	accuracy	98.9%	(.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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))))))))))
✓	accuracy	97.1%	(PI.f32)
✓	accuracy	97.0%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.8%	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.6%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	97.1%	(PI.f32)
✓	accuracy	100.0%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
✓	accuracy	99.4%	(+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))
✓	accuracy	99.1%	(*.f32 (PI.f32) u2)
✓	accuracy	97.1%	(PI.f32)

Results

209.0ms	248×	0	valid
29.0ms	8×	5	exit

Compiler

Compiled 444 to 54 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 37.0ms (35.1% of total)

ival-add: 18.0ms (17.1% of total)

...c/correct-round.rkt:119:19: 10.0ms (9.5% of total)

ival-sqrt: 7.0ms (6.6% of total)

compiled-spec: 7.0ms (6.6% of total)

backward-pass: 6.0ms (5.7% of total)

ival-cos: 6.0ms (5.7% of total)

ival-log: 5.0ms (4.7% of total)

ival-neg: 3.0ms (2.8% of total)

ival-div: 2.0ms (1.9% of total)

ival-sub: 2.0ms (1.9% of total)

const: 2.0ms (1.9% of total)

ival-pi: 1.0ms (0.9% of total)

series42.0ms (0.3%)

Counts

25 → 336

Calls

Call 1

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

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 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 (* (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 (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* 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))))>
#<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 1>
#<alt (+ 1 (* -4 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 4/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (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))))) 1)>
#<alt (- (* 2 (cos (* 2 (* u2 (PI))))) 1)>
#<alt (- (* 2 (cos (* 2 (* u2 (PI))))) 1)>
#<alt (- (* 2 (cos (* 2 (* u2 (PI))))) 1)>
#<alt (- (* 2 (cos (* 2 (* u2 (PI))))) 1)>
#<alt (- (* 2 (cos (* 2 (* u2 (PI))))) 1)>
#<alt (- (* 2 (cos (* 2 (* u2 (PI))))) 1)>
#<alt (- (* 2 (cos (* 2 (* u2 (PI))))) 1)>
#<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 1/2>
#<alt (+ 1/2 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (- (cos (* 2 (* u2 (PI)))) 1/2)>
#<alt (- (cos (* 2 (* u2 (PI)))) 1/2)>
#<alt (- (cos (* 2 (* u2 (PI)))) 1/2)>
#<alt (- (cos (* 2 (* u2 (PI)))) 1/2)>
#<alt (- (cos (* 2 (* u2 (PI)))) 1/2)>
#<alt (- (cos (* 2 (* u2 (PI)))) 1/2)>
#<alt (- (cos (* 2 (* u2 (PI)))) 1/2)>
#<alt (- (cos (* 2 (* u2 (PI)))) 1/2)>
#<alt (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))>
#<alt (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))>
#<alt (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))>
#<alt (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))>
#<alt (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))>
#<alt (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))>
#<alt (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))>
#<alt (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))>
#<alt (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))>
#<alt (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))>
#<alt (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))>
#<alt (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))>
#<alt (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))) (* -1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (pow (PI) 2)))) (* -1/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))))>
#<alt (+ (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (pow (PI) 2)))) (* u1 (+ (* -1 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 2) (- 1/4 (* 1/16 (/ 1 u1))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (pow u2 2) (pow (PI) 2)))))))))>
#<alt (* -1 (* (pow u1 2) (* (pow u2 2) (pow (PI) 2))))>
#<alt (* (pow u1 2) (+ (* -1 (* (pow u2 2) (pow (PI) 2))) (* -2/3 (/ (* (pow u2 2) (pow (PI) 2)) u1))))>
#<alt (* (pow u1 2) (+ (* -1 (* (pow u2 2) (pow (PI) 2))) (+ (* -7/9 (/ (* (pow u2 2) (pow (PI) 2)) (pow u1 2))) (* -2/3 (/ (* (pow u2 2) (pow (PI) 2)) u1)))))>
#<alt (* (pow u1 2) (+ (* -40/27 (/ (* (pow u2 2) (pow (PI) 2)) (pow u1 3))) (+ (* -1 (* (pow u2 2) (pow (PI) 2))) (+ (* -7/9 (/ (* (pow u2 2) (pow (PI) 2)) (pow u1 2))) (* -2/3 (/ (* (pow u2 2) (pow (PI) 2)) u1))))))>
#<alt (* -2 (* (pow u1 2) (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt -1/4))))))>
#<alt (* (pow u1 2) (+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt -1/4))))) (* 1/3 (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (* u1 (sqrt -1/4))))))>
#<alt (* (pow u1 2) (+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt -1/4))))) (* -1 (/ (+ (* -1 (/ (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))))) (* u1 (sqrt -1/4)))) (* -1/3 (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt -1/4)))) u1))))>
#<alt (* (pow u1 2) (+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt -1/4))))) (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))))) (sqrt -1/4)) (/ (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))))) (* u1 (sqrt -1/4)))) u1)) (* -1/3 (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt -1/4)))) u1))))>
#<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 (* (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 u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* 1/3 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* 1/3 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))>

Calls

84 calls:

Time	Variable		Point	Expression
14.0ms	u1	@	inf	(* (sqrt u1) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	-inf	(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (* (* (* u2 u2) (* (* (PI) (PI)) -2)) (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))))
1.0ms	u1	@	0	(* (sqrt u1) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	-inf	(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (/ (+ 1 (- (cos (* 2 (* (PI) u2))) (- 1 (cos (* 2 (* (PI) u2)))))) 2))
1.0ms	u1	@	inf	(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (/ (+ 1 (- (cos (* 2 (* (PI) u2))) (- 1 (cos (* 2 (* (PI) u2)))))) 2))

rewrite427.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3476×	`-lowering-.f32`
3476×	`-lowering-.f64`
1534×	`+-lowering-+.f64`
1534×	`+-lowering-+.f32`
1032×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	265
1	188	234
2	702	221
3	4071	209
0	8394	209

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 971

Calls

Call 1

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

Outputs
(+.f32 #s(literal 0 binary32) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(+.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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)) #s(literal 1/2 binary32)))
(+.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))) (+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 0 binary32)))
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))
(+.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 0 binary32))
(+.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 #s(literal 2 binary32) (.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 (/.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 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(+.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 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 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)) #s(literal 1/2 binary32))))
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (+.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 #s(literal 2 binary32) (.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)) #s(literal 1/2 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 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(+.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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)) #s(literal -1/2 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 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(+.f32 (.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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)) #s(literal -1/2 binary32)))
(+.f32 (+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 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)) (cos.f32 (.f32 #s(literal 2 binary32) (.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)) #s(literal -1/2 binary32)))
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(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))) (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))) (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))))
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(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)) (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))))))
(.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)) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))))))
(.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)) (+.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) (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)))
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(.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))))) (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))) (pow.f32 u1 #s(literal 1/2 binary32)))
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(exp.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)) (.f32 (log1p.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 1/2 binary32))))
(exp.f32 (+.f32 (.f32 (log1p.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 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 u1))))
(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))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (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))))))))))
(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) (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 (pow.f32 u1 #s(literal 1/2 binary32)) (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)))
(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (sqrt.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 (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)) #s(literal 1 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)) (pow.f32 u1 #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.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 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))
(exp.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))))))))))
(+.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 (.f32 (+.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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1)))))
(+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))) u1))
(+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 (.f32 u1 u1))) u1))
(+.f32 (.f32 u1 (+.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 (.f32 u1 u1))))
(+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) u1) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 (.f32 u1 u1))))
(+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 (.f32 u1 u1))))
(fma.f32 #s(literal 1 binary32) 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)))
(fma.f32 u1 #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 u1 u1)))
(fma.f32 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)
(fma.f32 (+.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)
(fma.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1 u1)
(fma.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 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))))))))
(.f32 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 u1 (exp.f32 (log1p.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 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)
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(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (PI.f32) (.f32 (*.f32 u2 u2) #s(literal -2 binary32)))))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (.f32 (.f32 u2 u2) #s(literal -2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal -2 binary32)) (.f32 u2 u2)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) (.f32 (*.f32 u2 u2) #s(literal -2 binary32)))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (.f32 (.f32 u2 u2) #s(literal -2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal -2 binary32)) (.f32 u2 u2)))
(.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal -2 binary32))
(.f32 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2)
(.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (PI.f32) (.f32 u2 u2)))
(.f32 (.f32 (PI.f32) (.f32 u2 u2)) (.f32 (PI.f32) #s(literal -2 binary32)))
(.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))
(.f32 (pow.f32 (PI.f32) #s(literal 5/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (.f32 u2 u2) #s(literal -2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (.f32 u2 u2) #s(literal -2 binary32))))
(.f32 (.f32 u2 (.f32 (PI.f32) (PI.f32))) (.f32 u2 #s(literal -2 binary32)))
(.f32 (.f32 u2 #s(literal -2 binary32)) (.f32 u2 (.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 (PI.f32) (.f32 (.f32 u2 u2) #s(literal -2 binary32))) (PI.f32))
(.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (.f32 u2 u2) #s(literal -2 binary32))))
(.f32 (.f32 (.f32 u2 u2) #s(literal 1 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))
(.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal -2 binary32)))
(.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal -2 binary32)))
(.f32 (.f32 (.f32 (PI.f32) (.f32 u2 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 (.f32 (PI.f32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 #s(literal -2 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) #s(literal -2 binary32)) (PI.f32))
(.f32 (.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (PI.f32)) (PI.f32))
(.f32 (.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(.f32 (.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))
(.f32 (.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (pow.f32 (PI.f32) #s(literal 5/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 (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 #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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)) (neg.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 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(-.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 0 binary32))
(-.f32 (-.f32 #s(literal 1 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 (+.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 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
(-.f32 #s(literal 0 binary32) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)))
(-.f32 (+.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 1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))
(-.f32 #s(literal 3/2 binary32) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))) #s(literal 1/2 binary32))
(-.f32 (-.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #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 (-.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32))) #s(literal 2 binary32))
(/.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(/.f32 (+.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 2 binary32) (-.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)))))) (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
(/.f32 (+.f32 #s(literal -2 binary32) (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)))) (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal -2 binary32)))
(/.f32 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 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 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.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 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)))) #s(literal -4 binary32))
(/.f32 (+.f32 (.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal -2 binary32)) (.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(/.f32 (+.f32 (.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal -4 binary32))
(/.f32 (+.f32 (.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal -2 binary32)) (.f32 #s(literal -2 binary32) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)))) #s(literal 4 binary32))
(/.f32 (-.f32 #s(literal -2 binary32) (.f32 (/.f32 #s(literal 2 binary32) (-.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)))))) (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal -2 binary32)))
(/.f32 (-.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)))) (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 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 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.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 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)))) #s(literal 4 binary32))
(/.f32 (-.f32 (.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal -2 binary32)) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal 4 binary32))
(/.f32 (-.f32 (.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 #s(literal -2 binary32) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)))) #s(literal -4 binary32))
(.f32 #s(literal -2 binary32) (.f32 (sin.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32))) (sin.f32 (/.f32 (+.f32 #s(literal 0 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)))))
(exp.f32 (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 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 #s(literal 1/3 binary32))) (*.f32 u1 u1)))
(+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1)) u1)
(+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))))
(+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) u1))
(+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (+.f32 (.f32 u1 (.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) u1))
(+.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))))
(+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) u1) (.f32 u1 (.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))))
(+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))))
(fma.f32 #s(literal 1 binary32) u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1)))
(fma.f32 u1 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1)))
(fma.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1)
(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1) u1)
(fma.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) u1 u1)
(fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) u1)
(.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
(.f32 u1 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))))
(.f32 u1 (exp.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))) u1)
(.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 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1 binary32)) u1)
(.f32 (exp.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))) u1)

simplify393.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

8324×	`-lowering-.f32`
8324×	`-lowering-.f64`
3818×	`+-lowering-+.f64`
3818×	`+-lowering-+.f32`
1878×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	694	6339
1	2414	5161
0	8769	5161

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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))))))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3))))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))))
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 4))))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* 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))))
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)))))
1
(+ 1 (* -4 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 4/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (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))))) 1)
(- (* 2 (cos (* 2 (* u2 (PI))))) 1)
(- (* 2 (cos (* 2 (* u2 (PI))))) 1)
(- (* 2 (cos (* 2 (* u2 (PI))))) 1)
(- (* 2 (cos (* 2 (* u2 (PI))))) 1)
(- (* 2 (cos (* 2 (* u2 (PI))))) 1)
(- (* 2 (cos (* 2 (* u2 (PI))))) 1)
(- (* 2 (cos (* 2 (* u2 (PI))))) 1)
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
1/2
(+ 1/2 (* -2 (* (pow u2 2) (pow (PI) 2))))
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(+ 1/2 (* (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)))) 1/2)
(- (cos (* 2 (* u2 (PI)))) 1/2)
(- (cos (* 2 (* u2 (PI)))) 1/2)
(- (cos (* 2 (* u2 (PI)))) 1/2)
(- (cos (* 2 (* u2 (PI)))) 1/2)
(- (cos (* 2 (* u2 (PI)))) 1/2)
(- (cos (* 2 (* u2 (PI)))) 1/2)
(- (cos (* 2 (* u2 (PI)))) 1/2)
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2))))
(+ (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))) (* -1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (pow (PI) 2)))))
(+ (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (pow (PI) 2)))) (* -1/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))))
(+ (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (pow (PI) 2)))) (* u1 (+ (* -1 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 2) (- 1/4 (* 1/16 (/ 1 u1))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (pow u2 2) (pow (PI) 2)))))))))
(* -1 (* (pow u1 2) (* (pow u2 2) (pow (PI) 2))))
(* (pow u1 2) (+ (* -1 (* (pow u2 2) (pow (PI) 2))) (* -2/3 (/ (* (pow u2 2) (pow (PI) 2)) u1))))
(* (pow u1 2) (+ (* -1 (* (pow u2 2) (pow (PI) 2))) (+ (* -7/9 (/ (* (pow u2 2) (pow (PI) 2)) (pow u1 2))) (* -2/3 (/ (* (pow u2 2) (pow (PI) 2)) u1)))))
(* (pow u1 2) (+ (* -40/27 (/ (* (pow u2 2) (pow (PI) 2)) (pow u1 3))) (+ (* -1 (* (pow u2 2) (pow (PI) 2))) (+ (* -7/9 (/ (* (pow u2 2) (pow (PI) 2)) (pow u1 2))) (* -2/3 (/ (* (pow u2 2) (pow (PI) 2)) u1))))))
(* -2 (* (pow u1 2) (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt -1/4))))))
(* (pow u1 2) (+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt -1/4))))) (* 1/3 (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (* u1 (sqrt -1/4))))))
(* (pow u1 2) (+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt -1/4))))) (* -1 (/ (+ (* -1 (/ (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))))) (* u1 (sqrt -1/4)))) (* -1/3 (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt -1/4)))) u1))))
(* (pow u1 2) (+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt -1/4))))) (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))))) (sqrt -1/4)) (/ (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))))) (* u1 (sqrt -1/4)))) u1)) (* -1/3 (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt -1/4)))) u1))))
(* -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 (* (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)))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* 1/3 (pow u1 3))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* 1/3 (pow u1 3))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))

Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(+ (* -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 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) 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)))))))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
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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)))))
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(+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -1/2 binary32))
(- (cos (* 2 (* u2 (PI)))) 1/2)
(+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -1/2 binary32))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(.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 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(.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 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(.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 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(.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 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(.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 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(.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 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(.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 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(.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 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(.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 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(.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 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(.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 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))
(.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 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2))))
(.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -2 binary32)))
(+ (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))) (* -1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (pow (PI) 2)))))
(.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 u1)) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))))
(+ (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (pow (PI) 2)))) (* -1/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))))
(+.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (.f32 (sqrt.f32 u1) #s(literal -2 binary32))) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -1/3 binary32) (sqrt.f32 u1))))))
(+ (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (pow (PI) 2)))) (* u1 (+ (* -1 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 2) (- 1/4 (* 1/16 (/ 1 u1))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (pow u2 2) (pow (PI) 2)))))))))
(+.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (.f32 (sqrt.f32 u1) #s(literal -2 binary32))) (.f32 (.f32 u1 u1) (+.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/2 binary32))) (.f32 u1 (-.f32 (.f32 (.f32 #s(literal -1/3 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))))))))
(* -1 (* (pow u1 2) (* (pow u2 2) (pow (PI) 2))))
(.f32 (.f32 u1 u1) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))))
(* (pow u1 2) (+ (* -1 (* (pow u2 2) (pow (PI) 2))) (* -2/3 (/ (* (pow u2 2) (pow (PI) 2)) u1))))
(.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(* (pow u1 2) (+ (* -1 (* (pow u2 2) (pow (PI) 2))) (+ (* -7/9 (/ (* (pow u2 2) (pow (PI) 2)) (pow u1 2))) (* -2/3 (/ (* (pow u2 2) (pow (PI) 2)) u1)))))
(.f32 (.f32 u1 u1) (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))))
(* (pow u1 2) (+ (* -40/27 (/ (* (pow u2 2) (pow (PI) 2)) (pow u1 3))) (+ (* -1 (* (pow u2 2) (pow (PI) 2))) (+ (* -7/9 (/ (* (pow u2 2) (pow (PI) 2)) (pow u1 2))) (* -2/3 (/ (* (pow u2 2) (pow (PI) 2)) u1))))))
(.f32 (.f32 u1 u1) (+.f32 (/.f32 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))))))
(* -2 (* (pow u1 2) (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt -1/4))))))
(.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal -1/4 binary32)))))
(* (pow u1 2) (+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt -1/4))))) (* 1/3 (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (* u1 (sqrt -1/4))))))
(.f32 (.f32 u1 u1) (+.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32)))) (/.f32 (.f32 (.f32 #s(literal 1/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))))
(* (pow u1 2) (+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt -1/4))))) (* -1 (/ (+ (* -1 (/ (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))))) (* u1 (sqrt -1/4)))) (* -1/3 (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt -1/4)))) u1))))
(.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32)))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/3 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 7/18 binary32)) (.f32 u2 u2))) (*.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))) u1)))
(* (pow u1 2) (+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt -1/4))))) (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))))) (sqrt -1/4)) (/ (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))))) (* u1 (sqrt -1/4)))) u1)) (* -1/3 (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt -1/4)))) u1))))
(.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32)))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/3 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 (.f32 (.f32 u2 u2) (+.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 7/18 binary32)))) (sqrt.f32 #s(literal -1/4 binary32))) (.f32 (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 20/27 binary32)) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 (*.f32 (PI.f32) (PI.f32)) u1)))) u1)) u1)))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 u2 u2) #s(literal 2 binary32)))
(* (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 u2 (.f32 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 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* (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 u2 (.f32 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 (.f32 #s(literal 2 binary32) u2) (PI.f32))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))
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 (* 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))))))
(* 1/3 (pow u1 3))
(.f32 u1 (.f32 (*.f32 u1 u1) #s(literal 1/3 binary32)))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(* 1/3 (pow u1 3))
(.f32 u1 (.f32 (*.f32 u1 u1) #s(literal 1/3 binary32)))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
(.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
(.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal -1/3 binary32)) (.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))

eval262.0ms (1.6%)

Compiler: Compiled 59859 to 5924 computations (90.1% saved)

prune352.0ms (2.1%)

Pruning

69 alts after pruning (63 fresh and 6 done)

	Pruned	Kept	Total
New	1789	37	1826
Fresh	16	26	42
Picked	2	3	5
Done	0	3	3
Total	1807	69	1876

Accuracy

100.0%

Counts

1876 → 69

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.1%	(/.f32 (pow.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 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
	72.8%	(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	90.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.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 1/2 binary32)))))
	80.0%	(+.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (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)))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
	72.8%	(+.f32 (.f32 (pow.f32 u1 #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 u1 #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	15.6%	(+.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
	4.7%	(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
	67.9%	(+.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))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))))
	76.3%	(+.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 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
	84.0%	(+.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 (.f32 (.f32 u2 u2) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1)))
	83.5%	(.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)) (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))))))
	84.0%	(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
	60.2%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	71.0%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.8%	(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32))))
	86.1%	(.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)))
▶	16.1%	(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	22.7%	(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	19.3%	(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	15.3%	(.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	15.1%	(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
	19.1%	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
	15.9%	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
	22.3%	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
	92.4%	(.f32 (sqrt.f32 (+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 (.f32 u1 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.5%	(.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)))
	92.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.3%	(.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 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
	90.1%	(.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 (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal 2 binary32)))
	82.1%	(.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 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
	90.1%	(.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 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
	90.2%	(.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 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
	84.7%	(.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 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
	82.1%	(.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 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))))
▶	90.2%	(.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)))
	85.7%	(.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)))
	71.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	92.2%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (.f32 u1 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.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 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #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 (+.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 1/2 binary32))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
	89.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -3 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32)))))
	89.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) #s(literal 1/2 binary32)))
	89.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	80.6%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	62.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.6%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	60.3%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.8%	(.f32 (sqrt.f32 u1) (-.f32 (+.f32 #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 (+.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 1/2 binary32))))
	72.8%	(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
	72.9%	(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 1 binary32)))
	67.0%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
	72.6%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
✓	72.8%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	4.7%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
▶	71.6%	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.7%	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
	76.2%	(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)))))))))
	74.7%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
	52.7%	(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
	62.1%	(sqrt.f32 u1)
	83.9%	(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.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 1/2 binary32))))) #s(literal -1 binary32)))
	52.7%	(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))

Compiler

Compiled 3371 to 2443 computations (27.5% saved)

simplify254.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f32 u1)
✓	cost-diff	0	(*.f32 #s(literal 1/2 binary32) (log.f32 u1))
✓	cost-diff	3232	(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
✓	cost-diff	3232	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) (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 #s(literal 1/3 binary32)))))
✓	cost-diff	0	(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
✓	cost-diff	0	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
✓	cost-diff	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)))
✓	cost-diff	0	(+.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)))
✓	cost-diff	0	(*.f32 u1 u1)
✓	cost-diff	320	(.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))))
✓	cost-diff	320	(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
✓	cost-diff	0	(-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
✓	cost-diff	0	(*.f32 u1 u1)
✓	cost-diff	0	(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
✓	cost-diff	192	(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))
✓	cost-diff	256	(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32))
✓	cost-diff	256	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32)))

Rules

2392×	`-lowering-.f32`
2392×	`-lowering-.f64`
2106×	`+-lowering-+.f64`
2106×	`+-lowering-+.f32`
1366×	`--lowering--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	431
1	158	410
2	450	398
3	1727	389
4	5367	377
0	8205	377

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1 (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (/ (cos (* 2 (* (PI) u2))) -2))) 2))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(/ (- (+ 1 (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (/ (cos (* 2 (* (PI) u2))) -2))) 2)
(- (+ 1 (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (/ (cos (* 2 (* (PI) u2))) -2)))
(+ 1 (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2))))))
1
(+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2)))))
-1/2
(* 3/2 (cos (* 2 (* (PI) u2))))
3/2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(+ 1/2 (/ (cos (* 2 (* (PI) u2))) -2))
1/2
(/ (cos (* 2 (* (PI) u2))) -2)
-2
(* (* u1 u1) (- 1/2 (* u2 (* u2 (* (PI) (PI))))))
(* u1 u1)
u1
(- 1/2 (* u2 (* u2 (* (PI) (PI)))))
1/2
(* u2 (* u2 (* (PI) (PI))))
u2
(* u2 (* (PI) (PI)))
(* (PI) (PI))
(PI)
(* (* (* u1 u1) (+ (+ (/ 1/3 u1) (/ 7/18 (* u1 u1))) (+ (/ 20/27 (* u1 (* u1 u1))) 1/2))) (cos (* (* 2 (PI)) u2)))
(* (* u1 u1) (+ (+ (/ 1/3 u1) (/ 7/18 (* u1 u1))) (+ (/ 20/27 (* u1 (* u1 u1))) 1/2)))
(* u1 u1)
u1
(+ (+ (/ 1/3 u1) (/ 7/18 (* u1 u1))) (+ (/ 20/27 (* u1 (* u1 u1))) 1/2))
(+ (/ 1/3 u1) (/ 7/18 (* u1 u1)))
(/ 1/3 u1)
1/3
(/ 7/18 (* u1 u1))
7/18
(+ (/ 20/27 (* u1 (* u1 u1))) 1/2)
(/ 20/27 (* u1 (* u1 u1)))
20/27
(* u1 (* u1 u1))
1/2
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 1/3))))
1
(* u1 (+ 1/2 (* u1 1/3)))
(+ 1/2 (* u1 1/3))
1/2
(* u1 1/3)
1/3
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (exp (* 1/2 (log u1))) (cos (* (* 2 (PI)) u2)))
(exp (* 1/2 (log u1)))
(* 1/2 (log u1))
1/2
(log u1)
u1
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2

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

localize736.0ms (4.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	97.1%	(PI.f32)
✓	accuracy	96.9%	(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
✓	accuracy	99.1%	(*.f32 u1 #s(literal 1/3 binary32))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	99.1%	(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
✓	accuracy	97.1%	(PI.f32)
✓	accuracy	98.9%	(/.f32 #s(literal 1/3 binary32) u1)
✓	accuracy	98.9%	(.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))))
✓	accuracy	98.8%	(/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1)))
✓	accuracy	97.1%	(PI.f32)
✓	accuracy	99.2%	(.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
✓	accuracy	98.9%	(.f32 u2 (.f32 (PI.f32) (PI.f32)))
✓	accuracy	97.1%	(PI.f32)
✓	accuracy	97.0%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.2%	(+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
✓	accuracy	99.1%	(*.f32 (PI.f32) u2)
✓	accuracy	97.1%	(PI.f32)
✓	accuracy	39.9%	(+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)))

Results

611.0ms	248×	0	valid
32.0ms	8×	5	exit

Compiler

Compiled 476 to 58 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 455.0ms

ival-add: 350.0ms (76.9% of total)

ival-mult: 37.0ms (8.1% of total)

...c/correct-round.rkt:119:19: 13.0ms (2.9% of total)

ival-div: 10.0ms (2.2% of total)

backward-pass: 8.0ms (1.8% of total)

ival-log: 8.0ms (1.8% of total)

ival-cos: 7.0ms (1.5% of total)

compiled-spec: 7.0ms (1.5% of total)

ival-sub: 4.0ms (0.9% of total)

ival-sqrt: 4.0ms (0.9% of total)

ival-exp: 3.0ms (0.7% of total)

ival-neg: 3.0ms (0.7% of total)

ival-pi: 1.0ms (0.2% of total)

const: 1.0ms (0.2% of total)

series87.0ms (0.5%)

Counts

29 → 384

Calls

Call 1

Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1 (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (/ (cos (* 2 (* (PI) u2))) -2))) 2))>
#<alt (/ (- (+ 1 (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (/ (cos (* 2 (* (PI) u2))) -2))) 2)>
#<alt (- (+ 1 (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (/ (cos (* 2 (* (PI) u2))) -2)))>
#<alt (+ 1 (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2))))))>
#<alt (* (* u1 u1) (- 1/2 (* u2 (* u2 (* (PI) (PI))))))>
#<alt (* u1 u1)>
#<alt (- 1/2 (* u2 (* u2 (* (PI) (PI)))))>
#<alt (* u2 (* u2 (* (PI) (PI))))>
#<alt (* (* (* u1 u1) (+ (+ (/ 1/3 u1) (/ 7/18 (* u1 u1))) (+ (/ 20/27 (* u1 (* u1 u1))) 1/2))) (cos (* (* 2 (PI)) u2)))>
#<alt (* (* u1 u1) (+ (+ (/ 1/3 u1) (/ 7/18 (* u1 u1))) (+ (/ 20/27 (* u1 (* u1 u1))) 1/2)))>
#<alt (+ (+ (/ 1/3 u1) (/ 7/18 (* u1 u1))) (+ (/ 20/27 (* u1 (* u1 u1))) 1/2))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))>
#<alt (+ 1 (* u1 (+ 1/2 (* u1 1/3))))>
#<alt (* (exp (* 1/2 (log u1))) (cos (* (* 2 (PI)) u2)))>
#<alt (exp (* 1/2 (log u1)))>
#<alt (* 1/2 (log u1))>
#<alt (log u1)>
#<alt (+ 1/2 (/ (cos (* 2 (* (PI) u2))) -2))>
#<alt (PI)>
#<alt (* (PI) u2)>
#<alt (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2)))))>
#<alt (* (PI) (PI))>
#<alt (* u2 (* (PI) (PI)))>
#<alt (/ 20/27 (* u1 (* u1 u1)))>
#<alt (/ 1/3 u1)>
#<alt (* (* 2 (PI)) u2)>
#<alt (* u1 1/3)>

Outputs
#<alt (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1/8 (* (sqrt (pow u1 3)) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))))>
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#<alt (/ (+ 20/27 (* u1 (+ 7/18 (* 1/3 u1)))) (pow u1 3))>
#<alt (/ (+ 20/27 (* u1 (+ 7/18 (* u1 (+ 1/3 (* 1/2 u1)))))) (pow u1 3))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/3 (/ 1 u1)))>
#<alt (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1))))>
#<alt (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/3 (/ 1 u1)))>
#<alt (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1))))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 7/18 (* 20/27 (/ 1 u1))) u1)) 1/3) u1)))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/32 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3))))))>
#<alt (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))))>
#<alt (* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))>
#<alt (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))))>
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))>
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))))>
#<alt (+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 4)))))))>
#<alt (+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 4))))))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/32 (sqrt (/ 1 u1))) (* 1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt (pow u1 3)) (sqrt 1/3))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3)))))>
#<alt (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))))>
#<alt (* (sqrt (pow u1 3)) (* (pow (sqrt -1) 2) (sqrt 1/3)))>
#<alt (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3)))))>
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (pow (sqrt -1) 2) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (pow (sqrt -1) 2) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3))))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* 1/3 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* 1/3 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))>
#<alt 1>
#<alt (+ 1 (* 1/2 u1))>
#<alt (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))>
#<alt (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))>
#<alt (* 1/3 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* 1/3 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4)))))))>
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt u1) (pow (PI) 4))))))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (log u1))>
#<alt (* 1/2 (log u1))>
#<alt (* 1/2 (log u1))>
#<alt (* 1/2 (log u1))>
#<alt (* -1/2 (log (/ 1 u1)))>
#<alt (* -1/2 (log (/ 1 u1)))>
#<alt (* -1/2 (log (/ 1 u1)))>
#<alt (* -1/2 (log (/ 1 u1)))>
#<alt (* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2)))>
#<alt (* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* 2/45 (* (pow u2 2) (pow (PI) 6))))) (pow (PI) 2)))>
#<alt (* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* 2/45 (pow (PI) 6)))))) (pow (PI) 2)))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (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 1>
#<alt (+ 1 (* -3 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -3 (pow (PI) 2)) (* (pow u2 2) (pow (PI) 4)))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -3 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/15 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4))))))>
#<alt (- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)>
#<alt (- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)>
#<alt (- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)>
#<alt (- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)>
#<alt (- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)>
#<alt (- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)>
#<alt (- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)>
#<alt (- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)>
#<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 (* u2 (pow (PI) 2))>
#<alt (/ 20/27 (pow u1 3))>
#<alt (/ 20/27 (pow u1 3))>
#<alt (/ 20/27 (pow u1 3))>
#<alt (/ 20/27 (pow u1 3))>
#<alt (/ 20/27 (pow u1 3))>
#<alt (/ 20/27 (pow u1 3))>
#<alt (/ 20/27 (pow u1 3))>
#<alt (/ 20/27 (pow u1 3))>
#<alt (/ 20/27 (pow u1 3))>
#<alt (/ 20/27 (pow u1 3))>
#<alt (/ 20/27 (pow u1 3))>
#<alt (/ 20/27 (pow u1 3))>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 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 (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>
#<alt (* 1/3 u1)>

Calls

96 calls:

Time	Variable		Point	Expression
32.0ms	u1	@	-inf	(* 1/2 (log u1))
15.0ms	u1	@	0	(* 1/2 (log u1))
6.0ms	u1	@	inf	(* 1/2 (log u1))
3.0ms	u2	@	0	(* (* (* u1 u1) (+ (+ (/ 1/3 u1) (/ 7/18 (* u1 u1))) (+ (/ 20/27 (* u1 (* u1 u1))) 1/2))) (cos (* (* 2 (PI)) u2)))
3.0ms	u1	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1 (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (/ (cos (* 2 (* (PI) u2))) -2))) 2))

rewrite625.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

5468×	`-lowering-.f32`
5468×	`-lowering-.f64`
2172×	`+-lowering-+.f64`
2172×	`+-lowering-+.f32`
1862×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	285
1	233	263
2	1051	237
0	9256	237

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 696

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1 (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (/ (cos (* 2 (* (PI) u2))) -2))) 2))
(/ (- (+ 1 (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (/ (cos (* 2 (* (PI) u2))) -2))) 2)
(- (+ 1 (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (/ (cos (* 2 (* (PI) u2))) -2)))
(+ 1 (+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2))))))
(* (* u1 u1) (- 1/2 (* u2 (* u2 (* (PI) (PI))))))
(* u1 u1)
(- 1/2 (* u2 (* u2 (* (PI) (PI)))))
(* u2 (* u2 (* (PI) (PI))))
(* (* (* u1 u1) (+ (+ (/ 1/3 u1) (/ 7/18 (* u1 u1))) (+ (/ 20/27 (* u1 (* u1 u1))) 1/2))) (cos (* (* 2 (PI)) u2)))
(* (* u1 u1) (+ (+ (/ 1/3 u1) (/ 7/18 (* u1 u1))) (+ (/ 20/27 (* u1 (* u1 u1))) 1/2)))
(+ (+ (/ 1/3 u1) (/ 7/18 (* u1 u1))) (+ (/ 20/27 (* u1 (* u1 u1))) 1/2))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))
(+ 1 (* u1 (+ 1/2 (* u1 1/3))))
(* (exp (* 1/2 (log u1))) (cos (* (* 2 (PI)) u2)))
(exp (* 1/2 (log u1)))
(* 1/2 (log u1))
(log u1)
(+ 1/2 (/ (cos (* 2 (* (PI) u2))) -2))
(PI)
(* (PI) u2)
(+ -1/2 (* 3/2 (cos (* 2 (* (PI) u2)))))
(* (PI) (PI))
(* u2 (* (PI) (PI)))
(/ 20/27 (* u1 (* u1 u1)))
(/ 1/3 u1)
(* (* 2 (PI)) u2)
(* u1 1/3)

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

simplify512.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

7998×	`-lowering-.f32`
7998×	`-lowering-.f64`
2970×	`+-lowering-+.f64`
2970×	`+-lowering-+.f32`
1636×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	592	5541
1	1956	4598
2	7902	4590
0	8462	4590

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))
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(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))))
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 4))))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/32 (sqrt (/ 1 u1))) (* 1/6 (sqrt (/ 1 u1))))))))
(* (sqrt (pow u1 3)) (sqrt 1/3))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3)))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))))
(* (sqrt (pow u1 3)) (* (pow (sqrt -1) 2) (sqrt 1/3)))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3)))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (pow (sqrt -1) 2) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (pow (sqrt -1) 2) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* 1/3 (pow u1 3))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* 1/3 (pow u1 3))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
1
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 1/3 u1))))
(+ 1 (* u1 (+ 1/2 (* 1/3 u1))))
(* 1/3 (pow u1 2))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* 1/3 (pow u1 2))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(sqrt u1)
(+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt u1) (pow (PI) 4))))))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* 1/2 (log u1))
(* 1/2 (log u1))
(* 1/2 (log u1))
(* 1/2 (log u1))
(* -1/2 (log (/ 1 u1)))
(* -1/2 (log (/ 1 u1)))
(* -1/2 (log (/ 1 u1)))
(* -1/2 (log (/ 1 u1)))
(* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(log u1)
(log u1)
(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2)))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* 2/45 (* (pow u2 2) (pow (PI) 6))))) (pow (PI) 2)))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* 2/45 (pow (PI) 6)))))) (pow (PI) 2)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (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))
1
(+ 1 (* -3 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -3 (pow (PI) 2)) (* (pow u2 2) (pow (PI) 4)))))
(+ 1 (* (pow u2 2) (+ (* -3 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/15 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4))))))
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(/ 20/27 (pow u1 3))
(/ 20/27 (pow u1 3))
(/ 20/27 (pow u1 3))
(/ 20/27 (pow u1 3))
(/ 20/27 (pow u1 3))
(/ 20/27 (pow u1 3))
(/ 20/27 (pow u1 3))
(/ 20/27 (pow u1 3))
(/ 20/27 (pow u1 3))
(/ 20/27 (pow u1 3))
(/ 20/27 (pow u1 3))
(/ 20/27 (pow u1 3))
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 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)))
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)
(* 1/3 u1)

Outputs
(* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -2 binary32)) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))
(+ (* -1/8 (* (sqrt (pow u1 3)) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -2 binary32)) (.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/8 binary32))))
(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* -1/12 (* (sqrt u1) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -2 binary32)) (.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -1/12 binary32) (sqrt.f32 u1))))))
(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* u1 (+ (* -1/4 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/12 (* (sqrt (/ 1 u1)) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -2 binary32)) (.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/8 binary32))) (.f32 u1 (+.f32 (.f32 (sqrt.f32 u1) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) #s(literal -1/4 binary32))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/12 binary32))))))))
(* 1/2 (* (* (sqrt -1) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/4 (* (/ (* (sqrt -1) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1 binary32)) (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 (sqrt.f32 #s(literal -1 binary32)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 #s(literal 2 binary32) u1))) #s(literal -1/4 binary32))))
(+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (* 3/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
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(* 1/2 (log u1))
(*.f32 #s(literal 1/2 binary32) (log.f32 u1))
(* 1/2 (log u1))
(*.f32 #s(literal 1/2 binary32) (log.f32 u1))
(* 1/2 (log u1))
(*.f32 #s(literal 1/2 binary32) (log.f32 u1))
(* 1/2 (log u1))
(*.f32 #s(literal 1/2 binary32) (log.f32 u1))
(* -1/2 (log (/ 1 u1)))
(*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 0 binary32) (log.f32 u1)))
(* -1/2 (log (/ 1 u1)))
(*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 0 binary32) (log.f32 u1)))
(* -1/2 (log (/ 1 u1)))
(*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 0 binary32) (log.f32 u1)))
(* -1/2 (log (/ 1 u1)))
(*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 0 binary32) (log.f32 u1)))
(* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(log u1)
(log.f32 u1)
(log u1)
(log.f32 u1)
(log u1)
(log.f32 u1)
(log u1)
(log.f32 u1)
(* -1 (log (/ 1 u1)))
(log.f32 u1)
(* -1 (log (/ 1 u1)))
(log.f32 u1)
(* -1 (log (/ 1 u1)))
(log.f32 u1)
(* -1 (log (/ 1 u1)))
(log.f32 u1)
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* (pow u2 2) (pow (PI) 2))
(.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal -1/3 binary32) (.f32 u2 u2)))))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* 2/45 (* (pow u2 2) (pow (PI) 6))))) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32)) (.f32 u2 (.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))))))))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* 2/45 (pow (PI) 6)))))) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (.f32 (.f32 u2 u2) #s(literal -1/315 binary32))))))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 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))
1
#s(literal 1 binary32)
(+ 1 (* -3 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -3 binary32) (.f32 (PI.f32) (PI.f32))))))
(+ 1 (* (pow u2 2) (+ (* -3 (pow (PI) 2)) (* (pow u2 2) (pow (PI) 4)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -3 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
(+ 1 (* (pow u2 2) (+ (* -3 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/15 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -3 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 u2 u2) (*.f32 #s(literal -2/15 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(+.f32 (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal -1/2 binary32))
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(+.f32 (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal -1/2 binary32))
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(+.f32 (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal -1/2 binary32))
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(+.f32 (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal -1/2 binary32))
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(+.f32 (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal -1/2 binary32))
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(+.f32 (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal -1/2 binary32))
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(+.f32 (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal -1/2 binary32))
(- (* 3/2 (cos (* 2 (* u2 (PI))))) 1/2)
(+.f32 (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal -1/2 binary32))
(* 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)))
(/ 20/27 (pow u1 3))
(/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1)))
(/ 20/27 (pow u1 3))
(/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1)))
(/ 20/27 (pow u1 3))
(/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1)))
(/ 20/27 (pow u1 3))
(/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1)))
(/ 20/27 (pow u1 3))
(/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1)))
(/ 20/27 (pow u1 3))
(/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1)))
(/ 20/27 (pow u1 3))
(/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1)))
(/ 20/27 (pow u1 3))
(/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1)))
(/ 20/27 (pow u1 3))
(/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1)))
(/ 20/27 (pow u1 3))
(/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1)))
(/ 20/27 (pow u1 3))
(/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1)))
(/ 20/27 (pow u1 3))
(/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1)))
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 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)))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))

eval195.0ms (1.2%)

Compiler: Compiled 43777 to 5010 computations (88.6% saved)

prune295.0ms (1.8%)

Pruning

79 alts after pruning (71 fresh and 8 done)

	Pruned	Kept	Total
New	1609	22	1631
Fresh	9	49	58
Picked	3	2	5
Done	0	6	6
Total	1621	79	1700

Accuracy

100.0%

Counts

1700 → 79

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.1%	(/.f32 (pow.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 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
	72.8%	(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	16.1%	(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) u1)
	90.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.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 1/2 binary32)))))
	80.0%	(+.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (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)))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
	72.8%	(+.f32 (.f32 (pow.f32 u1 #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 u1 #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	15.9%	(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))
	4.7%	(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
	67.9%	(+.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))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))))
	76.3%	(+.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 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
	84.0%	(+.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 (.f32 (.f32 u2 u2) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1)))
	83.5%	(.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)) (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))))))
	84.0%	(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
	60.2%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	71.0%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.8%	(.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 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	16.1%	(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	15.1%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
	16.1%	(.f32 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	16.1%	(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	16.1%	(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	22.7%	(.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))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	15.1%	(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
	15.5%	(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
	19.1%	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
	22.3%	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
	5.0%	(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
	15.1%	(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
	14.9%	(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
	90.3%	(.f32 (sqrt.f32 (+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.5%	(.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)))
	90.3%	(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.1%	(.f32 (sqrt.f32 (.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.3%	(.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 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
	82.1%	(.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 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
	90.1%	(.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 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
	90.2%	(.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 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
	84.7%	(.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 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
	82.1%	(.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 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))))
✓	90.2%	(.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)))
	85.7%	(.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)))
	71.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	92.2%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (.f32 u1 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #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 -2 binary32)))) #s(literal 2 binary32)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2)))))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32)))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32)))
	90.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))) #s(literal 2 binary32)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #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 (+.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 1/2 binary32))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
	89.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -3 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32)))))
	89.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) #s(literal 1/2 binary32)))
	89.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	80.6%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	62.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.6%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	60.3%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.8%	(.f32 (sqrt.f32 u1) (-.f32 (+.f32 #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 (+.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 1/2 binary32))))
	72.8%	(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
	72.9%	(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 1 binary32)))
	67.0%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
	72.6%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
✓	72.8%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	4.7%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	71.6%	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.7%	(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
	76.2%	(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)))))))))
	74.7%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
	52.7%	(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
	62.1%	(sqrt.f32 u1)
	83.9%	(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.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 1/2 binary32))))) #s(literal -1 binary32)))
	52.7%	(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))

Compiler

Compiled 4973 to 1969 computations (60.4% saved)

regimes536.0ms (3.3%)

Counts

125 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
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(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.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)))) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)) (.f32 #s(literal 3/2 binary32) (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 binary32) (-.f32 (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)))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.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 1/2 binary32))))) #s(literal -1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (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) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (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)))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (neg.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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #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 -2 binary32)))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #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 (+.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 1/2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))))))))
(+.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (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)))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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 (.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 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 1/2 binary32))) (.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 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 binary32))))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log.f32 (/.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)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
(+.f32 (.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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (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))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 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 (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 -2 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 -2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2)))))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 2 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))))))) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) 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 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)) (+.f32 #s(literal 3/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 2 binary32) (+.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)))))) (.f32 (/.f32 #s(literal 2 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 (.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32))) #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))) #s(literal -2 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 1/9 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 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 #s(literal -1/2 binary32) (/.f32 (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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 (cos.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2))))))
(+.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal -1/2 binary32) (/.f32 (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))))))) #s(literal 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)))))

Outputs

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

Calls

10 calls:

162.0ms	u1
64.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
39.0ms	(-.f32 #s(literal 1 binary32) u1)
37.0ms	u2
36.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	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)))`
99.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes319.0ms (1.9%)

Counts

96 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) 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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 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 (.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.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 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) #s(literal 1/2 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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.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 1/2 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 #s(literal 1/3 binary32))))))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 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))))))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 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))))))))) (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 (sqrt.f32 (+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.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 1/2 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (neg.f32 (.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 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 (.f32 u1 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 (.f32 (.f32 u2 u2) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1)))
(.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)) (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))))))
(.f32 (sqrt.f32 (.f32 u1 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) 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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.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)))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (neg.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 (.f32 (pow.f32 u1 #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 u1 #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (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 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32))))
(.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 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (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))))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (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))))
(.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)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(.f32 (sqrt.f32 u1) (-.f32 (+.f32 #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 (+.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 1/2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -3 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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 3/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (.f32 u2 (.f32 u2 (*.f32 (PI.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (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 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.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)))) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)) (.f32 #s(literal 3/2 binary32) (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 binary32) (-.f32 (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)))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.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 1/2 binary32))))) #s(literal -1 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:

38.0ms	u2
35.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
35.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
30.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
29.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	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)))`
99.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes204.0ms (1.2%)

Counts

71 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) 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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 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 (.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.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 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) #s(literal 1/2 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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.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 1/2 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 #s(literal 1/3 binary32))))))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 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))))))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 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))))))))) (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 (sqrt.f32 (+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.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 1/2 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (neg.f32 (.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 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 (.f32 u1 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 (.f32 (.f32 u2 u2) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1)))
(.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)) (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))))))
(.f32 (sqrt.f32 (.f32 u1 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Calls

9 calls:

27.0ms	u1
23.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
22.0ms	cosTheta_i
22.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
22.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
92.5%	1	`cosTheta_i`
97.5%	2	`u1`
97.6%	2	`u2`
97.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
97.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
97.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.5%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.6%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.6%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes76.0ms (0.5%)

Counts

62 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) 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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 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 (.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.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 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) #s(literal 1/2 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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.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 1/2 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 #s(literal 1/3 binary32))))))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 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))))))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 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))))))))) (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 (sqrt.f32 (+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.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 1/2 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 u1))) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (neg.f32 (.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 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))

Outputs

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

Calls

3 calls:

21.0ms	u2
19.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
18.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
97.6%	2	`u2`
97.6%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.6%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes72.0ms (0.4%)

Counts

56 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) 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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 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 (.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.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 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) #s(literal 1/2 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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.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 1/2 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 #s(literal 1/3 binary32))))))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 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))))))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 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))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

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 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))

Calls

3 calls:

20.0ms	u2
20.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
15.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
97.5%	2	`u2`
97.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes168.0ms (1%)

Counts

55 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) 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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 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 (.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.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 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) #s(literal 1/2 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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.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 1/2 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 #s(literal 1/3 binary32))))))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 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))))))) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))

Outputs

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

Calls

8 calls:

19.0ms	u1
19.0ms	(-.f32 #s(literal 1 binary32) u1)
18.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
18.0ms	u2
17.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
97.1%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.1%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.1%	2	`u1`
97.1%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
97.1%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
97.2%	2	`u2`
97.2%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
97.2%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes57.0ms (0.3%)

Counts

49 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) 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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 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 (.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.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 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) #s(literal 1/2 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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

(*.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

3 calls:

17.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
16.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
14.0ms	u2

Results

Accuracy	Segments	Branch
97.2%	2	`u2`
97.2%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.2%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes133.0ms (0.8%)

Counts

48 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) 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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 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 (.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.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 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) #s(literal 1/2 binary32)))

Outputs

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

(*.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

8 calls:

17.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
17.0ms	u2
17.0ms	(-.f32 #s(literal 1 binary32) u1)
17.0ms	u1
17.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
95.8%	2	`u1`
95.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
95.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
96.5%	2	`u2`
96.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes148.0ms (0.9%)

Counts

46 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) 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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 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 (.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.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

9 calls:

19.0ms	u1
16.0ms	u2
16.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
16.0ms	cosTheta_i
16.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
85.7%	1	`cosTheta_i`
93.4%	2	`u1`
93.4%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
93.4%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
93.4%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
93.4%	2	`(-.f32 #s(literal 1 binary32) u1)`
94.3%	2	`u2`
94.3%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes150.0ms (0.9%)

Counts

45 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) 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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 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 (.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))

Outputs

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

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

Calls

8 calls:

47.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
17.0ms	u2
15.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
14.0ms	u1
13.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
91.6%	3	`u1`
91.6%	3	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.6%	3	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
91.6%	3	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.6%	3	`(-.f32 #s(literal 1 binary32) u1)`
90.3%	2	`u2`
90.3%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
90.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes47.0ms (0.3%)

Counts

42 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) 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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 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 (.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))

Outputs
(*.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)))

Calls

3 calls:

15.0ms	u2
12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
11.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
90.2%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
90.2%	2	`u2`
90.2%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes115.0ms (0.7%)

Counts

39 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) 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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 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 (.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))

Outputs

(*.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 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))))

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

Calls

9 calls:

13.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
13.0ms	u2
12.0ms	(-.f32 #s(literal 1 binary32) u1)
12.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
88.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
88.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
88.0%	2	`u1`
88.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
88.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
84.0%	1	`cosTheta_i`
87.9%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
87.9%	2	`u2`
87.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes68.0ms (0.4%)

Counts

37 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) 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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 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 (.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32))

Outputs

(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))

(*.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 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))))

Calls

5 calls:

17.0ms	u1
12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms	u2
11.0ms	(-.f32 #s(literal 1 binary32) u1)
10.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
84.0%	1	`u2`
84.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
84.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
87.8%	2	`u1`
87.8%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 31 to 26 computations (16.1% saved)

regimes28.0ms (0.2%)

Counts

35 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (.f32 (.f32 u1 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1))))) u1) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))))
(.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 20/27 binary32))) (+.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 7/18 binary32) 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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 u1 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 (.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 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.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)))))))))))

Outputs

(*.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 #s(literal -2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))))))

Calls

2 calls:

12.0ms	u1
10.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
84.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
84.0%	1	`u1`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes49.0ms (0.3%)

Counts

28 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #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 #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 binary32)))

Calls

5 calls:

10.0ms	u1
10.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms	cosTheta_i
9.0ms	u2
8.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
82.1%	1	`u2`
82.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
82.1%	1	`cosTheta_i`
82.1%	1	`u1`
82.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes50.0ms (0.3%)

Counts

27 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #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 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))

Calls

5 calls:

10.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
10.0ms	u1
9.0ms	cosTheta_i
8.0ms	u2
8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
82.1%	1	`u1`
82.1%	1	`u2`
82.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
82.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
82.1%	1	`cosTheta_i`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes48.0ms (0.3%)

Counts

26 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) 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)))))))))
(.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (+.f32 #s(literal 20/27 binary32) (.f32 u1 (+.f32 #s(literal 7/18 binary32) (.f32 u1 #s(literal 1/3 binary32))))) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

Calls

5 calls:

11.0ms	cosTheta_i
9.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms	u1
8.0ms	u2

Results

Accuracy	Segments	Branch
76.2%	1	`u1`
80.3%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
80.3%	2	`u2`
80.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
76.2%	1	`cosTheta_i`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes41.0ms (0.2%)

Counts

21 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 20/27 binary32) (.f32 u1 #s(literal 7/18 binary32)))) u1)

Outputs

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

Calls

5 calls:

9.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
8.0ms	u1
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	cosTheta_i
7.0ms	u2

Results

Accuracy	Segments	Branch
74.7%	1	`cosTheta_i`
74.7%	1	`u1`
78.8%	2	`u2`
78.8%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
78.8%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes49.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

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

Calls

4 calls:

29.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms	u1
6.0ms	u2
5.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
74.7%	1	`u1`
74.7%	1	`u2`
74.7%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
74.7%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes43.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.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 (/.f32 #s(literal 20/27 binary32) u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

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

Calls

5 calls:

11.0ms	u1
6.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms	u2
5.0ms	cosTheta_i
5.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
71.2%	1	`cosTheta_i`
71.2%	1	`u2`
71.2%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
71.2%	1	`u1`
71.2%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes19.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))

Outputs
(sqrt.f32 u1)

Calls

3 calls:

5.0ms	cosTheta_i
5.0ms	u1
5.0ms	u2

Results

Accuracy	Segments	Branch
62.1%	1	`u1`
62.1%	1	`u2`
62.1%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 (.f32 u1 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 u2 u2))))
(.f32 (.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(+.f32 (.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 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 (.f32 (.f32 #s(literal -40/27 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 (.f32 u1 u1))) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))))))))

Outputs

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

Calls

3 calls:

4.0ms	u1
4.0ms	cosTheta_i
4.0ms	u2

Results

Accuracy	Segments	Branch
22.3%	1	`cosTheta_i`
22.3%	1	`u1`
22.3%	1	`u2`

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

Outputs

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

Calls

3 calls:

5.0ms	cosTheta_i
3.0ms	u1
3.0ms	u2

Results

Accuracy	Segments	Branch
19.1%	1	`u2`
19.1%	1	`cosTheta_i`
19.1%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs

(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))

Calls

3 calls:

3.0ms	u1
3.0ms	cosTheta_i
3.0ms	u2

Results

Accuracy	Segments	Branch
15.5%	1	`cosTheta_i`
15.5%	1	`u2`
15.5%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	u2
3.0ms	u1
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
15.1%	1	`cosTheta_i`
15.1%	1	`u1`
15.1%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	cosTheta_i
2.0ms	u1
2.0ms	u2

Results

Accuracy	Segments	Branch
15.1%	1	`cosTheta_i`
15.1%	1	`u1`
15.1%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	u2
2.0ms	u1
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
15.1%	1	`cosTheta_i`
15.1%	1	`u1`
15.1%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -3.3b remaining (-12.2%)

Threshold costs -3.3b (-12.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	u2
1.0ms	cosTheta_i
1.0ms	u1

Results

Accuracy	Segments	Branch
14.9%	1	`cosTheta_i`
14.9%	1	`u1`
14.9%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06342165172100067	0.06656007468700409

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06342165172100067	0.06656007468700409

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9977856874465942	0.9979895353317261

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9977856874465942	0.9979895353317261

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06342165172100067	0.06656007468700409

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1480374038219452	0.15609925985336304

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002025599591434002	0.0022359355352818966

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0043405755423009396	0.004583446308970451

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0043405755423009396	0.004583446308970451

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.05660908669233322	0.05776366963982582

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9438729882240295	0.9449633955955505

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999895095825195	0.9999905824661255

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999895095825195	0.9999905824661255

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

156×	`*-commutative_binary32`
98×	`+-commutative_binary32`
42×	`sub-neg_binary32`
30×	`neg-sub0_binary32`
30×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	811
1	295	811
2	331	811
3	367	811
4	388	811
5	400	811
6	405	811
7	406	811

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (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) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1090519/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 (.f32 u1 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1090519/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 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))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8370153/8388608 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 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8370153/8388608 binary32)) (.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 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 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1090519/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.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 5033165/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.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 295279/134217728 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 2415919/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2415919/536870912 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))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 15300821/268435456 binary32)) (.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3959423/4194304 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 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))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 2097131/2097152 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.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))))))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 2097131/2097152 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.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 #s(literal 1/3 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 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(sqrt.f32 u1)
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.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 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (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) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))))
(.f32 (+.f32 (/.f32 (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) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1090519/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 (.f32 u1 u1) 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 1090519/16777216 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))) (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1090519/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 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))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1090519/16777216 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))) (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 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8370153/8388608 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 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 8370153/8388608 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 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8370153/8388608 binary32)) (.f32 (sqrt.f32 (+.f32 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 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 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2))))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 8370153/8388608 binary32)) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 u1 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1090519/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.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 1090519/16777216 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))) (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 (+.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 5033165/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.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 5033165/33554432 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)))) (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 295279/134217728 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 295279/134217728 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 2415919/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2415919/536870912 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2415919/536870912 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))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2415919/536870912 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 15300821/268435456 binary32)) (.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2)))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 15300821/268435456 binary32)) (.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3959423/4194304 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.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 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2))))))
(.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 (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)))))) #s(literal 2 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))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 2097131/2097152 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.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))))))))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 2097131/2097152 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.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))))))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 2097131/2097152 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.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 #s(literal 1/3 binary32))))))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 2097131/2097152 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.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 #s(literal 1/3 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 (.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)))))
(sqrt.f32 u1)
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -7/9 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 u2 u2) #s(literal -7/9 binary32))) (.f32 u1 u1))) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32)))) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 (.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) u1) #s(literal -2/3 binary32))) (/.f32 #s(literal 1/3 binary32) u1)) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(.f32 (.f32 u2 u2) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.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 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))))
(.f32 (.f32 u1 u1) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (.f32 u1 u1))

soundness3.1s (18.7%)

Rules

8324×	`-lowering-.f32`
8324×	`-lowering-.f64`
7998×	`-lowering-.f32`
7998×	`-lowering-.f64`
5680×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	306	3405
1	982	2777
2	3480	2549
0	8031	2549
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	694	6339
1	2414	5161
0	8769	5161
0	22	62
1	71	62
2	237	62
3	1390	62
0	8245	62
0	53	265
1	188	234
2	702	221
3	4071	209
0	8394	209
0	592	5541
1	1956	4598
2	7902	4590
0	8462	4590
0	45	329
1	176	285
2	756	211
3	4568	211
0	8148	211
0	57	285
1	233	263
2	1051	237
0	9256	237
0	835	7155
1	2967	5762
0	9228	5762

Stop Event

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

Compiler

Compiled 2331 to 1382 computations (40.7% saved)

preprocess153.0ms (0.9%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 2620 to 1014 computations (61.3% saved)

analyze503.0ms (3.1%)

sample2.6s (16%)

preprocess75.0ms (0.5%)

explain196.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize132.0ms (0.8%)

series48.0ms (0.3%)

rewrite209.0ms (1.3%)

simplify330.0ms (2%)

eval42.0ms (0.3%)

prune82.0ms (0.5%)

simplify134.0ms (0.8%)

localize368.0ms (2.2%)

series44.0ms (0.3%)

rewrite321.0ms (1.9%)

simplify363.0ms (2.2%)

eval189.0ms (1.2%)

prune332.0ms (2%)

simplify193.0ms (1.2%)

localize324.0ms (2%)

series42.0ms (0.3%)

rewrite427.0ms (2.6%)

simplify393.0ms (2.4%)

eval262.0ms (1.6%)

prune352.0ms (2.1%)

simplify254.0ms (1.5%)

localize736.0ms (4.5%)

series87.0ms (0.5%)

rewrite625.0ms (3.8%)

simplify512.0ms (3.1%)

eval195.0ms (1.2%)

prune295.0ms (1.8%)

regimes536.0ms (3.3%)

regimes319.0ms (1.9%)

regimes204.0ms (1.2%)

regimes76.0ms (0.5%)

regimes72.0ms (0.4%)

regimes168.0ms (1%)

regimes57.0ms (0.3%)

regimes133.0ms (0.8%)

regimes148.0ms (0.9%)

regimes150.0ms (0.9%)

regimes47.0ms (0.3%)

regimes115.0ms (0.7%)

regimes68.0ms (0.4%)

regimes28.0ms (0.2%)

regimes49.0ms (0.3%)

regimes50.0ms (0.3%)

regimes48.0ms (0.3%)

regimes41.0ms (0.2%)

regimes49.0ms (0.3%)

regimes43.0ms (0.3%)

regimes19.0ms (0.1%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify28.0ms (0.2%)

soundness3.1s (18.7%)

preprocess153.0ms (0.9%)

end0.0ms (0%)

Profiling