Metrics for Beckmann Sample, near normal, slope

analyze501.0ms (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: 298.0ms

...c/correct-round.rkt:119:19: 80.0ms (26.9% of total)

ival-log: 41.0ms (13.8% of total)

ival-mult: 40.0ms (13.4% of total)

ival-<=: 37.0ms (12.4% of total)

ival-cos: 23.0ms (7.7% of total)

ival-pi: 18.0ms (6% of total)

ival-sub: 14.0ms (4.7% of total)

ival-sqrt: 13.0ms (4.4% of total)

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

ival-and: 9.0ms (3% of total)

ival-neg: 9.0ms (3% of total)

const: 2.0ms (0.7% of total)

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

sample2.3s (14.2%)

Results

1.9s	8256×	0	valid
1.0ms	4×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 1.5s

...c/correct-round.rkt:119:19: 338.0ms (22.7% of total)

ival-<=: 261.0ms (17.5% of total)

ival-mult: 246.0ms (16.5% of total)

ival-log: 197.0ms (13.2% of total)

ival-cos: 118.0ms (7.9% of total)

ival->: 64.0ms (4.3% of total)

ival-sub: 63.0ms (4.2% of total)

ival-sqrt: 62.0ms (4.2% of total)

ival-neg: 46.0ms (3.1% of total)

ival-and: 42.0ms (2.8% of total)

ival-pi: 40.0ms (2.7% of total)

const: 9.0ms (0.6% of total)

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

Bogosity

preprocess79.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs cosTheta_i)

(abs u2)

explain190.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
193	5	(0.999904215335846 0.007764934562146664 3.521658076266476e-9)	1	(0.999903678894043 0.014125124551355839 0.14610649645328522)	`(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

140.0ms

512×

valid

Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 11.0ms (27% of total)

ival-log: 10.0ms (24.5% of total)

ival-cos: 7.0ms (17.2% of total)

ival-sqrt: 4.0ms (9.8% of total)

ival-sub: 3.0ms (7.4% of total)

ival-neg: 3.0ms (7.4% of total)

ival-pi: 2.0ms (4.9% of total)

const: 1.0ms (2.5% 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
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Status

Accuracy

Program

▶

99.0%

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

▶

58.0%

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

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify12.0ms (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

localize165.0ms (1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.6%	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
✓	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	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	99.6%	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	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	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	55.9%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

127.0ms

256×

valid

Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 45.0ms (51.9% of total)

ival-log: 16.0ms (18.4% of total)

ival-cos: 7.0ms (8.1% of total)

compiled-spec: 6.0ms (6.9% of total)

ival-sqrt: 4.0ms (4.6% of total)

ival-neg: 4.0ms (4.6% of total)

ival-sub: 2.0ms (2.3% of total)

ival-pi: 1.0ms (1.2% of total)

ival-add: 1.0ms (1.2% of total)

const: 1.0ms (1.2% of total)

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

series48.0ms (0.3%)

Counts

12 → 168

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 (cos (* (* 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 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 (* 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

42 calls:

Time	Variable		Point	Expression
29.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
4.0ms	u1	@	inf	(log (- 1 u1))
2.0ms	u2	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite313.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	68
1	94	68
2	538	60
3	4579	60
0	8446	60

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 367

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)
(cos (* (* 2 (PI)) u2))
(* (PI) u2)
(cos (* 2 (* (PI) u2)))

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

simplify473.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	3514
1	982	2874
2	3481	2640
0	8034	2640

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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)))
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))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))

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

eval45.0ms (0.3%)

Compiler: Compiled 14387 to 1281 computations (91.1% saved)

prune124.0ms (0.8%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	510	25	535
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	510	27	537

Accuracy

99.7%

Counts

537 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.9%	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.8%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	91.7%	(.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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.0%	(.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)))
▶	85.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
▶	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	90.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
	86.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
	98.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	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 2/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	77.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
	57.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
	57.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	57.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.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))) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
	51.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
✓	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	46.8%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	76.9%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 1283 to 943 computations (26.5% saved)

simplify222.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
✓	cost-diff	64	(/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
✓	cost-diff	128	(-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)))
✓	cost-diff	128	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
✓	cost-diff	0	(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	32	(neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
✓	cost-diff	32	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
✓	cost-diff	32	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	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	(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	3520	(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
✓	cost-diff	3648	(+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
✓	cost-diff	3648	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))

Rules

2116×	`+-lowering-+.f64`
2116×	`+-lowering-+.f32`
1646×	`-lowering-.f32`
1646×	`-lowering-.f64`
1476×	`--lowering--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	459
1	132	443
2	306	417
3	729	415
4	1634	356
5	4273	356
0	8157	356

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize1.1s (6.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(*.f32 (PI.f32) u2)
✓	accuracy	98.7%	(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
✓	accuracy	97.8%	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
✓	accuracy	82.1%	(PI.f32)
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	99.0%	(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.0%	(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	82.1%	(PI.f32)
✓	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	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	99.1%	(*.f32 u1 #s(literal 1/3 binary32))
✓	accuracy	82.1%	(PI.f32)
✓	accuracy	100.0%	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	accuracy	100.0%	(neg.f32 u1)
✓	accuracy	100.0%	(log1p.f32 (neg.f32 u1))
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.3%	(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
✓	accuracy	99.1%	(*.f32 (PI.f32) u2)
✓	accuracy	82.1%	(PI.f32)
✓	accuracy	54.4%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))

Results

523.0ms	74×	1	valid
295.0ms	49×	5	exit
139.0ms	133×	0	valid

Compiler

Compiled 451 to 53 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.1s

compiled-spec: 442.0ms (40.7% of total)

ival-add: 415.0ms (38.2% of total)

backward-pass: 83.0ms (7.6% of total)

ival-mult: 44.0ms (4.1% of total)

ival-log: 23.0ms (2.1% of total)

ival-cos: 15.0ms (1.4% of total)

ival-pow: 13.0ms (1.2% of total)

ival-sqrt: 10.0ms (0.9% of total)

ival-div: 9.0ms (0.8% of total)

...c/correct-round.rkt:119:19: 8.0ms (0.7% of total)

ival-sub: 7.0ms (0.6% of total)

ival-neg: 7.0ms (0.6% of total)

ival-sin: 5.0ms (0.5% of total)

const: 2.0ms (0.2% of total)

ival-pi: 2.0ms (0.2% of total)

series167.0ms (1%)

Counts

29 → 384

Calls

Call 1

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

Outputs
#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))>
#<alt (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/2 (* (/ (* (+ 1/2 (+ (* -1/2 (- 1 (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)))) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<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))))))))))>
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#<alt (* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* -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 (* 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 u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))>
#<alt (* -2 (log (/ 1 u1)))>
#<alt (+ (* -2 (log (/ 1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))>
#<alt (* -2 (log (/ -1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))>
#<alt (* (pow u2 4) (pow (PI) 4))>
#<alt (* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>

Calls

96 calls:

Time	Variable		Point	Expression
53.0ms	u2	@	inf	(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
20.0ms	u2	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))
8.0ms	u1	@	-inf	(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))
3.0ms	u1	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))))
3.0ms	u2	@	0	(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))

rewrite323.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

2774×	`fma-lowering-fma.f32`
2774×	`fma-lowering-fma.f64`
2570×	`-lowering-.f32`
2570×	`-lowering-.f64`
1806×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	291
1	324	261
2	2822	214
0	8288	214

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 691

Calls

Call 1

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

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

simplify423.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

7582×	`-lowering-.f32`
7582×	`-lowering-.f64`
5224×	`+-lowering-+.f64`
5224×	`+-lowering-+.f32`
1860×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	908	8634
1	3176	7395
0	8827	7395

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
(* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1/2 (* (/ (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/2 (* (/ (* (+ 1/2 (+ (* -1/2 (- 1 (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)))) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(* (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))))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (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)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
1/2
(+ 1/2 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 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)))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (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))))))
(+ (* -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)))
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(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* -5/3 u1)))))
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(* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
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(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))))))
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(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))) (* -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))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4))))) (sqrt (log (- 1 u1)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6)))) (* -2/3 (pow (PI) 6))))) (sqrt (log (- 1 u1)))))))))
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(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6)))) (* -2/3 (pow (PI) 6))))))))))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(* (pow u2 4) (pow (PI) 4))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(* 2 (* (pow u2 2) (pow (PI) 2)))
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(* (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)))))
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(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
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(- 1 (cos (* 2 (* u2 (PI)))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
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(* -1 u1)
(* -1 u1)
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(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
u1
(* u1 (+ 1 u1))
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(pow u1 2)
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u1
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(* -2 (log (/ 1 u1)))
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(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(* -2 (log (/ -1 u1)))
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(* (pow u2 4) (pow (PI) 4))
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(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
1
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(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)

Outputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #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))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
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(* (pow u1 2) (+ 1 (/ 1 u1)))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1)
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) 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 (* -2/3 u1)))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -2/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 (.f32 u1 #s(literal 1/4 binary32)) #s(literal -2/3 binary32)))))))
(* -2 (log (/ 1 u1)))
(neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32))))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (neg.f32 (.f32 (log.f32 u1) #s(literal -2 binary32))))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (-.f32 (neg.f32 (.f32 (log.f32 u1) #s(literal -2 binary32))) (/.f32 #s(literal 2/3 binary32) (.f32 u1 (.f32 u1 u1)))))
(* -2 (log (/ -1 u1)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2/3 binary32) u1)) (neg.f32 u1)) #s(literal -1 binary32)) u1))
(* (pow u2 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)))))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal 1/9 binary32) (pow.f32 (PI.f32) #s(literal 8 binary32))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))))))))))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)) (.f32 (.f32 u2 u2) (+.f32 (+.f32 (.f32 #s(literal 1/9 binary32) (pow.f32 (PI.f32) #s(literal 8 binary32))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))))) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2/3 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32)) (PI.f32)) (PI.f32)))))))))))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32))) (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))

eval242.0ms (1.5%)

Compiler: Compiled 49488 to 4275 computations (91.4% saved)

prune249.0ms (1.5%)

Pruning

49 alts after pruning (45 fresh and 4 done)

	Pruned	Kept	Total
New	1471	37	1508
Fresh	12	8	20
Picked	3	2	5
Done	0	2	2
Total	1486	49	1535

Accuracy

99.9%

Counts

1535 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.4%	(+.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 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))))
	90.8%	(.f32 (pow.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 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.9%	(.f32 (pow.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) #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 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
	74.9%	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.7%	(.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)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.9%	(.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))))
	91.3%	(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (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 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)))
	91.7%	(.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)))
	91.4%	(.f32 (sqrt.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (.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)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.8%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
▶	91.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	91.7%	(.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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) u2)))
✓	91.7%	(.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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal -5/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #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 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
	88.0%	(.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)))
	71.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	91.5%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.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))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (/.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1))) (-.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.2%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.8%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
	44.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 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 -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32)))) (-.f32 #s(literal 1/4 binary32) (pow.f32 (+.f32 (.f32 #s(literal 1/2 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))))))
▶	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal -4 binary32))) #s(literal -1 binary32))) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 2 binary32)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)))))
	90.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
	86.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.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)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #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)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 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 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))) #s(literal -2 binary32)))))
	86.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	77.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
	57.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
▶	51.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
✓	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	46.8%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	76.9%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.9%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
▶	4.7%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
	89.1%	(.f32 (exp.f32 (.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))))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.4%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
	44.8%	(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 2359 to 1704 computations (27.8% saved)

simplify171.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
✓	cost-diff	64	(/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
✓	cost-diff	128	(-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)))
✓	cost-diff	128	(.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 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
✓	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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
✓	cost-diff	128	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	cost-diff	6464	(.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))
✓	cost-diff	9984	(+.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)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
✓	cost-diff	10112	(+.f32 #s(literal 1/2 binary32) (+.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)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
✓	cost-diff	10112	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.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)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))

Rules

2224×	`-lowering-.f32`
2224×	`-lowering-.f64`
1964×	`+-lowering-+.f64`
1964×	`+-lowering-+.f32`
1418×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	537
1	155	458
2	358	427
3	1014	358
4	2032	343
5	4919	343
0	8102	343

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize445.0ms (2.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(*.f32 u1 #s(literal 1/3 binary32))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	98.5%	(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
✓	accuracy	97.3%	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
✓	accuracy	99.1%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	99.0%	(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	56.0%	(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	100.0%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	98.9%	(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2)
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	96.9%	(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))
✓	accuracy	42.6%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))

Results

302.0ms	253×	0	valid
12.0ms	3×	5	exit

Compiler

Compiled 475 to 60 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 58.0ms (35.8% of total)

ival-pow: 20.0ms (12.3% of total)

ival-div: 11.0ms (6.8% of total)

ival-cos: 11.0ms (6.8% of total)

ival-log: 11.0ms (6.8% of total)

ival-sub: 9.0ms (5.6% of total)

ival-sqrt: 9.0ms (5.6% of total)

ival-add: 8.0ms (4.9% of total)

compiled-spec: 7.0ms (4.3% of total)

...c/correct-round.rkt:119:19: 5.0ms (3.1% of total)

ival-sin: 4.0ms (2.5% of total)

ival-neg: 4.0ms (2.5% of total)

backward-pass: 3.0ms (1.9% of total)

const: 2.0ms (1.2% of total)

ival-pi: 1.0ms (0.6% of total)

series26.0ms (0.2%)

Counts

28 → 348

Calls

Call 1

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

Outputs
#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))>
#<alt (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/2 (* (/ (* (+ 1/2 (+ (* -1/2 (- 1 (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)))) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<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 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (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 (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* 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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (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 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1/2 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))>
#<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 (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<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 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* -1/6 (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))))>
#<alt (* (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<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 (* (pow u2 2) (pow (PI) 2)))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))>
#<alt (+ (* -1/2 (* (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* -1/2 (* (/ (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))>
#<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 (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (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 (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1))))))>
#<alt (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1))))))>
#<alt (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1))))))>
#<alt (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1)))))>
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#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6)))) (* -2/3 (pow (PI) 6))))))))))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (* (pow u2 4) (pow (PI) 4))>
#<alt (* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* (pow u2 4) (pow (PI) 4))>
#<alt (* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<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

87 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	0	(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
1.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
1.0ms	u1	@	-inf	(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))
1.0ms	u1	@	-inf	(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))
1.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))

rewrite362.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3016×	`-lowering-.f32`
3016×	`-lowering-.f64`
2874×	`fma-lowering-fma.f32`
2874×	`fma-lowering-fma.f64`
1940×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	258
1	356	233
2	2807	171
0	8505	171

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 855

Calls

Call 1

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

Outputs
(+.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 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) #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 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -2 binary32))))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #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 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))))) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -2 binary32)))))
(+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.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 -1/2 binary32) (/.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -2 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(fma.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #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 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -2 binary32))))))
(fma.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 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -2 binary32)))) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -2 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -2 binary32))))))
(fma.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -2 binary32)))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.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 -1/2 binary32) (/.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #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 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))))
(/.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))))
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(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 3/2 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (log.f32 (exp.f32 #s(literal 1 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 3/2 binary32)))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/9 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/9 binary32)) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 3/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/9 binary32)))
(.f32 (pow.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(.f32 (pow.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32))))
(expm1.f32 (log1p.f32 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(.f32 #s(literal -2 binary32) (.f32 (*.f32 (PI.f32) (PI.f32)) u2))
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 u2 #s(literal -2 binary32)))
(.f32 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) u2)
(.f32 (.f32 u2 #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (PI.f32) u2))
(.f32 (.f32 u2 (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32))
(.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))
(.f32 (.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32))
(neg.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(exp.f32 (.f32 #s(literal 4 binary32) (log.f32 (sin.f32 (.f32 (PI.f32) u2)))))
(exp.f32 (.f32 (log.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal -4 binary32))) #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))))) #s(literal 2 binary32)))
(exp.f32 (.f32 (log.f32 (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) u2))))) #s(literal 4 binary32)))
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) u2)))) #s(literal 4 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))))
(/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(/.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32))
(.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)))
(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32))
(.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))))))
(.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))))) #s(literal 1 binary32)))
(.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))) (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))) #s(literal 1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))
(.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(neg.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(exp.f32 (.f32 #s(literal 4 binary32) (log.f32 (cos.f32 (.f32 (PI.f32) u2)))))
(exp.f32 (.f32 (log.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal -4 binary32))) #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))))) #s(literal 2 binary32)))
(exp.f32 (.f32 (log.f32 (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) u2))))) #s(literal 4 binary32)))
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)) #s(literal -1 binary32))
(pow.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) u2)))) #s(literal 4 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))))
(/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(/.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32))
(.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32))
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))))))
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))))) #s(literal 1 binary32)))
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))) #s(literal 1 binary32)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 u1 #s(literal 1/3 binary32))
(*.f32 #s(literal 1/3 binary32) u1)

simplify657.0ms (4%)

Algorithm

1×	egg-herbie

Rules

8874×	`-lowering-.f32`
8874×	`-lowering-.f64`
4230×	`+-lowering-+.f64`
4230×	`+-lowering-+.f32`
1860×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	666	7623
1	2372	6343
0	9147	6343

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
(* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1/2 (* (/ (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/2 (* (/ (* (+ 1/2 (+ (* -1/2 (- 1 (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)))) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
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(+ (* (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))))
(* (sqrt u1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))
(+ (* 1/4 (* (sqrt (pow u1 3)) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (* (sqrt u1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(+ (* (sqrt u1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (* 1/4 (* (sqrt (/ 1 u1)) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))))
(+ (* (sqrt u1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (* u1 (+ (* -1/32 (* (sqrt (/ 1 u1)) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))) (* 1/6 (* (sqrt (/ 1 u1)) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))))))
(* (sqrt (pow u1 3)) (* (sqrt 1/3) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))))))
(* (sqrt (pow u1 3)) (* (pow (sqrt -1) 2) (* (sqrt 1/3) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (* (sqrt 1/3) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (* (sqrt 1/3) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (* (sqrt 1/3) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))))))
(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))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (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) (+ (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (- (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6)))) (* -2/3 (pow (PI) 6))))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4)))))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6)))) (* -2/3 (pow (PI) 6))))))))))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
(- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(* (pow u2 4) (pow (PI) 4))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* (pow u2 4) (pow (PI) 4))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(* 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
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))) (+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
(+.f32 (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (.f32 (.f32 u1 u1) (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))) (+.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))))))
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(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* -2 (* u2 (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* u2 (pow (PI) 2)))
(.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)))))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal 1/9 binary32) (pow.f32 (PI.f32) #s(literal 8 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)) #s(literal 2 binary32)))))))))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)) (.f32 u2 (.f32 u2 (+.f32 (.f32 #s(literal 1/9 binary32) (pow.f32 (PI.f32) #s(literal 8 binary32))) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)) #s(literal 2 binary32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)) #s(literal -2/3 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32)) #s(literal 2 binary32)))))))))))))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 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))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))

eval174.0ms (1.1%)

Compiler: Compiled 56801 to 5069 computations (91.1% saved)

prune256.0ms (1.6%)

Pruning

60 alts after pruning (54 fresh and 6 done)

	Pruned	Kept	Total
New	1579	24	1603
Fresh	10	30	40
Picked	3	2	5
Done	0	4	4
Total	1592	60	1652

Accuracy

99.9%

Counts

1652 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.7%	(/.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 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
	54.9%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
	81.4%	(+.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 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))))
	90.8%	(.f32 (pow.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 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.9%	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.9%	(.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))))
	91.3%	(.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.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 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)))
	91.7%	(.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)))
	96.8%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (+.f32 #s(literal 1/2 binary32) (+.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)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
	89.6%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
	91.4%	(.f32 (sqrt.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (.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)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
	83.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	93.8%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
	41.2%	(.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 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -2 binary32)))) (-.f32 #s(literal 1/4 binary32) (pow.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -2 binary32)))) #s(literal 2 binary32))))))
	91.5%	(.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 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))))
	91.4%	(.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 (pow.f32 (cos.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	91.4%	(.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 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	81.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	91.8%	(.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 1/2 binary32) (+.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)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
	87.1%	(.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 (pow.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal 1/2 binary32))))
	87.4%	(.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))))))) (exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)))) #s(literal 1 binary32))))
	91.7%	(.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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) u2)))
✓	91.7%	(.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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal -5/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.8%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
	78.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	88.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1/2 binary32) (+.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)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
	88.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #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 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
▶	88.0%	(.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)))
	71.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	91.5%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.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))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (/.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1))) (-.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	78.2%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2))))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal -4 binary32))) #s(literal -1 binary32))) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	90.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
	86.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #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)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	77.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
	57.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
✓	51.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
✓	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	46.8%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	48.7%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	76.8%	(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
	70.0%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	76.9%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	64.9%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
✓	4.7%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
	89.1%	(.f32 (exp.f32 (.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))))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.7%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
	73.4%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
	44.8%	(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 2963 to 2136 computations (27.9% saved)

simplify213.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	32	(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
✓	cost-diff	32	(neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
✓	cost-diff	32	(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
✓	cost-diff	32	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))
✓	cost-diff	64	(-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
✓	cost-diff	64	(.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 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)))))
✓	cost-diff	64	(/.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 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))
✓	cost-diff	0	(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))
✓	cost-diff	0	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))
✓	cost-diff	0	(.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)))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	64	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
✓	cost-diff	64	(/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.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	128	(/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.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	128	(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #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	128	(+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #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))))

Rules

5428×	`-lowering-.f32`
5428×	`-lowering-.f64`
1536×	`fma-lowering-fma.f32`
1536×	`fma-lowering-fma.f64`
1466×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	593
1	195	566
2	573	551
3	2265	535
4	5764	535
0	8432	535

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize419.0ms (2.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	98.5%	(.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	30.6%	(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
✓	accuracy	98.6%	(.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	96.9%	(.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))
✓	accuracy	52.3%	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.4%	(.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)))
✓	accuracy	99.1%	(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	100.0%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.2%	(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #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	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	45.0%	(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))

Results

284.0ms	252×	0	valid
3.0ms	4×	0	invalid

Compiler

Compiled 733 to 65 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-mult: 49.0ms (30.5% of total)

ival-log: 37.0ms (23% of total)

compiled-spec: 15.0ms (9.3% of total)

ival-add: 12.0ms (7.5% of total)

ival-cos: 10.0ms (6.2% of total)

ival-div: 9.0ms (5.6% of total)

ival-sqrt: 7.0ms (4.4% of total)

ival-pow: 7.0ms (4.4% of total)

ival-sub: 6.0ms (3.7% of total)

ival-neg: 5.0ms (3.1% of total)

ival-pi: 1.0ms (0.6% of total)

const: 1.0ms (0.6% of total)

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

series94.0ms (0.6%)

Counts

26 → 336

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))) (* 1/3 (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/2 (- (* 64/45 (pow (PI) 6)) (+ (* -1 (* (pow (PI) 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))) (* 2/3 (pow (PI) 6))))) (* -2/45 (pow (PI) 6))))))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* 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)) (* (pow u2 2) (+ (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))) (* 1/3 (pow (PI) 4)))))))>
#<alt (+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/2 (- (* 64/45 (pow (PI) 6)) (+ (* -1 (* (pow (PI) 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))) (* 2/3 (pow (PI) 6))))) (* -2/45 (pow (PI) 6))))))))))>
#<alt (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (* -1 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* -1/2 (* (pow u2 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))))))>
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#<alt (- (+ (log -1) (+ (log (/ 1 u1)) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 3)))))) (* 2 (/ 1 u1)))>
#<alt (log (/ -1 u1))>
#<alt (- (log (/ -1 u1)) (* 2 (/ 1 u1)))>
#<alt (+ (log (/ -1 u1)) (* -1 (/ (- 2 (/ 1 u1)) u1)))>
#<alt (+ (log (/ -1 u1)) (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/3 (/ 1 u1))) u1))) u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 u1)))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))>
#<alt (pow u1 4)>
#<alt (* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (pow u1 4)>
#<alt (* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>

Calls

84 calls:

Time	Variable		Point	Expression
36.0ms	u2	@	inf	(* (sqrt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (- 1 (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1)))))) (log (+ 1 (neg (* u1 (+ 1 u1)))))))) (cos (* (* 2 (PI)) u2)))
8.0ms	u2	@	0	(/ (* (pow (log (/ 1 (- 1 u1))) 1/2) (- 1 (* (* (* (PI) (* (PI) -2)) (* u2 u2)) (* (* (PI) (* (PI) -2)) (* u2 u2))))) (- 1 (* (* (PI) (* (PI) -2)) (* u2 u2))))
4.0ms	u2	@	0	(* (sqrt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (- 1 (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1)))))) (log (+ 1 (neg (* u1 (+ 1 u1)))))))) (cos (* (* 2 (PI)) u2)))
4.0ms	u2	@	0	(* (pow (log (/ 1 (- 1 u1))) 1/2) (- 1 (* (* (* (PI) (* (PI) -2)) (* u2 u2)) (* (* (PI) (* (PI) -2)) (* u2 u2)))))
2.0ms	u1	@	inf	(* (sqrt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (- 1 (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1)))))) (log (+ 1 (neg (* u1 (+ 1 u1)))))))) (cos (* (* 2 (PI)) u2)))

rewrite329.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

3760×	`-lowering-.f32`
3760×	`-lowering-.f64`
2354×	`fma-lowering-fma.f32`
2354×	`fma-lowering-fma.f64`
1672×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	360
1	384	265
2	3433	207
0	8531	207

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 558

Calls

Call 1

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

Outputs
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(cos.f32 (+.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))
(+.f32 #s(literal 1/2 binary32) (+.f32 (.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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(+.f32 (.f32 #s(literal 1/2 binary32) (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)) #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 (.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))) #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))))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
(+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))
(+.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 -2 binary32))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(pow.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (.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 (+.f32 (.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))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (.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))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.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))))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32))) (-.f32 #s(literal 1/4 binary32) (pow.f32 (+.f32 (.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))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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)) #s(literal 1/2 binary32)))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 4 binary32))) #s(literal -1/2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -2 binary32) (.f32 #s(literal -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))))))
(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 4 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 binary32))) #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 4 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 binary32))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(fma.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) #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)))
(fma.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(fma.f32 (+.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 4 binary32))))) #s(literal 1/4 binary32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (-.f32 (/.f32 (-.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) (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)))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(fma.f32 (-.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 4 binary32))))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.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)))) #s(literal 1/2 binary32))
(fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.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 1/4 binary32) (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))) (/.f32 (pow.f32 (+.f32 (.f32 #s(literal 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))) #s(literal 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))))) (/.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) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (.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 (+.f32 (.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))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (+.f32 (.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))) #s(literal 3 binary32)))))
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(.f32 u1 (.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u1 u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 u1 u1) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (neg.f32 u1))))
(.f32 (.f32 u1 u1) (pow.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) #s(literal 2 binary32)))
(.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))
(.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 #s(literal -1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(.f32 (neg.f32 u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (pow.f32 (neg.f32 u1) #s(literal 2 binary32)))
(.f32 (.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) u1))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) u1)
(.f32 (.f32 (neg.f32 u1) (neg.f32 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
(.f32 (.f32 (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) u1) (+.f32 #s(literal -1 binary32) (neg.f32 u1)))
(.f32 (.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1))
(.f32 (.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) u1))
(.f32 (.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (neg.f32 u1)) (+.f32 #s(literal 1 binary32) u1))
(.f32 (pow.f32 (neg.f32 u1) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) #s(literal 2 binary32)) (.f32 u1 u1))
(.f32 (pow.f32 (.f32 #s(literal 1 binary32) (neg.f32 u1)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))

simplify362.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

8298×	`-lowering-.f32`
8298×	`-lowering-.f64`
4124×	`+-lowering-+.f64`
4124×	`+-lowering-+.f32`
1584×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	855	8014
1	2838	6873
0	8501	6873

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))) (* 1/3 (pow (PI) 4)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/2 (- (* 64/45 (pow (PI) 6)) (+ (* -1 (* (pow (PI) 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))) (* 2/3 (pow (PI) 6))))) (* -2/45 (pow (PI) 6))))))))))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
1/2
(+ 1/2 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))) (* 1/3 (pow (PI) 4)))))))
(+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/2 (- (* 64/45 (pow (PI) 6)) (+ (* -1 (* (pow (PI) 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))) (* 2/3 (pow (PI) 6))))) (* -2/45 (pow (PI) 6))))))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* -1/2 (* (pow u2 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1/2 (* (pow u2 2) (- (* 64/45 (pow (PI) 6)) (+ (* -1 (* (pow (PI) 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))) (* 2/3 (pow (PI) 6)))))) (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))) (* (pow u2 2) (+ (* -1/2 (* (pow u2 2) (- (* -128/315 (pow (PI) 8)) (+ (* -1 (* (pow (PI) 2) (- (* 64/45 (pow (PI) 6)) (+ (* -1 (* (pow (PI) 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))) (* 2/3 (pow (PI) 6)))))) (+ (* -4/45 (pow (PI) 8)) (* 1/3 (* (pow (PI) 4) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))))))))) (* -1/2 (- (* 64/45 (pow (PI) 6)) (+ (* -1 (* (pow (PI) 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))) (* 2/3 (pow (PI) 6)))))))))))
(* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI)))))))
(* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI)))))))
(* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI)))))))
(* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI)))))))
(* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI)))))))
(* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI)))))))
(* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI)))))))
(* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI)))))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (+ (* 2 (pow (PI) 2)) (* (pow u2 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))))
(* (pow u2 2) (+ (* 2 (pow (PI) 2)) (* (pow u2 2) (- (+ (* -8/3 (pow (PI) 4)) (* (pow u2 2) (- (* 64/45 (pow (PI) 6)) (+ (* -1 (* (pow (PI) 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))) (* 2/3 (pow (PI) 6)))))) (* -2 (pow (PI) 4))))))
(* (pow u2 2) (+ (* 2 (pow (PI) 2)) (* (pow u2 2) (- (+ (* -8/3 (pow (PI) 4)) (* (pow u2 2) (- (+ (* 64/45 (pow (PI) 6)) (* (pow u2 2) (- (* -128/315 (pow (PI) 8)) (+ (* -1 (* (pow (PI) 2) (- (* 64/45 (pow (PI) 6)) (+ (* -1 (* (pow (PI) 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))) (* 2/3 (pow (PI) 6)))))) (+ (* -4/45 (pow (PI) 8)) (* 1/3 (* (pow (PI) 4) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))))))))) (+ (* -1 (* (pow (PI) 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))) (* 2/3 (pow (PI) 6)))))) (* -2 (pow (PI) 4))))))
(/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))
(/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))
(/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))
(/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))
(/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))
(/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))
(/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))
(/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (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)))
(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)))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))) (* 1/128 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))
(* u1 (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2))))
(* u1 (+ (* -1/8 (/ (cos (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))))
(* u1 (+ (* -1/8 (/ (cos (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ (cos (* 2 (* u2 (PI)))) (* (pow u1 3) (pow (sqrt 1/2) 5)))) (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2))))))
(* -1 (* u1 (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2)))))
(* -1 (* u1 (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/2)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (pow (sqrt -1/2) 3)))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/2)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt -1/2) 3))) (* -1/16 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (pow (sqrt -1/2) 5))))) u1)) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/2)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))
(sqrt (* u1 (+ 1 (* 1/2 u1))))
(+ (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* -2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 4))))))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (cos (* 2 (* u2 (PI)))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/32 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/128 (sqrt (/ 1 u1))))))))
(* u1 (sqrt 1/2))
(* u1 (+ (sqrt 1/2) (* 1/2 (/ 1 (* u1 (sqrt 1/2))))))
(* u1 (- (+ (sqrt 1/2) (/ 1/2 (* u1 (sqrt 1/2)))) (/ 1/8 (* (pow u1 2) (pow (sqrt 1/2) 3)))))
(* u1 (- (+ (sqrt 1/2) (+ (/ 1/2 (* u1 (sqrt 1/2))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt 1/2) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt 1/2) 3))))))
(* -1 (* u1 (* (sqrt -1) (sqrt -1/2))))
(* -1 (* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (sqrt -1/2)))) (* (sqrt -1) (sqrt -1/2)))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (sqrt -1) (* u1 (pow (sqrt -1/2) 3)))) (* 1/2 (/ (sqrt -1) (sqrt -1/2)))) u1)) (* (sqrt -1) (sqrt -1/2)))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (sqrt -1) (pow (sqrt -1/2) 3))) (* -1/16 (/ (sqrt -1) (* u1 (pow (sqrt -1/2) 5))))) u1)) (* 1/2 (/ (sqrt -1) (sqrt -1/2)))) u1)) (* (sqrt -1) (sqrt -1/2)))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* 1/2 u1)))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
1
(+ 1 (* 1/2 u1))
(+ 1 (* 1/2 u1))
(+ 1 (* 1/2 u1))
(* 1/2 u1)
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* 1/2 u1)
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* (sqrt u1) (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* (sqrt u1) (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
(+ (* (sqrt u1) (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* 1/4 (* (sqrt (/ 1 u1)) (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))))
(+ (* (sqrt u1) (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* 1/2 (* (sqrt u1) (/ (* (- 1/4 (* 1/16 (/ 1 u1))) (- 1 (* 4 (* (pow u2 4) (pow (PI) 4))))) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))))))
(* (sqrt (+ (log -1) (log (/ 1 u1)))) (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))
(+ (* 1/2 (* (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (* u1 (- 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (sqrt (+ (log -1) (log (/ 1 u1)))) (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
(+ (* 1/2 (* (/ (* (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (- 1 (* 4 (* (pow u2 4) (pow (PI) 4))))) (* (pow u1 2) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (* u1 (- 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (sqrt (+ (log -1) (log (/ 1 u1)))) (/ (- 1 (* 4 (* (pow u2 4) (pow (PI) 4)))) (- 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))))) (sqrt (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))))) (* 1/2 (* (/ (* (sqrt -1) (+ 5/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1)))))))) (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1)))))))))) u1)) (* 1/2 (* (sqrt -1) (sqrt (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1)))))))))) u1)) (* (sqrt -1) (sqrt (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* -5/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 5/3))))))
(* -1 (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))
(- (/ 1 u1) (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (+ (* 2 (log -1)) (* 5/3 (/ 1 (pow u1 3)))))))
(* -1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))
(- (/ 1 u1) (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))
(- (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 u1))) u1)) 1) u1)) (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* 5/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (+ 5/3 (* -1/4 u1))) 1/2)) 1))
(+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1))))
(- (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))) (/ 1 u1))
(+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (+ (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)) (* 2 (log -1)))))
(- (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (+ (* 2 (log -1)) (* 5/3 (/ 1 (pow u1 3)))))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1)))))
(- (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))) (/ 1 u1))
(+ (log -1) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))))
(+ (log -1) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- (* 5/3 (/ 1 u1)) 1/2) u1))) u1)))))
(* 4 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (- (* -16/3 (* (pow u2 2) (pow (PI) 4))) (* -4 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 128/45 (* (pow u2 2) (pow (PI) 6))) (* 16/3 (pow (PI) 4)))) (* -4 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -256/315 (* (pow u2 2) (pow (PI) 8))) (* -128/45 (pow (PI) 6)))) (* 16/3 (pow (PI) 4)))) (* -4 (pow (PI) 2))))
(- 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 2 (* u2 (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)))
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)))))))
(+ (log -1) (log (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(log (/ -1 u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 3 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* 3/2 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* u1 (+ 3/2 (* 2 u1)))))))
(+ (log -1) (log (/ 1 u1)))
(- (+ (log -1) (log (/ 1 u1))) (* 2 (/ 1 u1)))
(- (+ (log -1) (+ (log (/ 1 u1)) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))
(- (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 3)))))) (* 2 (/ 1 u1)))
(log (/ -1 u1))
(- (log (/ -1 u1)) (* 2 (/ 1 u1)))
(+ (log (/ -1 u1)) (* -1 (/ (- 2 (/ 1 u1)) u1)))
(+ (log (/ -1 u1)) (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/3 (/ 1 u1))) u1))) u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(pow u1 4)
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(pow u1 4)
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))) (* 1/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/2 (- (* 64/45 (pow (PI) 6)) (+ (* -1 (* (pow (PI) 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))) (* 2/3 (pow (PI) 6))))) (* -2/45 (pow (PI) 6))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (+.f32 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32))) (.f32 u2 (.f32 u2 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 #s(literal 64/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (-.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/3 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32))))))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32))))))))))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/2 binary32)))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/2 binary32)))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/2 binary32)))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/2 binary32)))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/2 binary32)))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/2 binary32)))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/2 binary32)))
(+ 1/2 (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/2 binary32)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1/2 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))
(+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))) (* 1/3 (pow (PI) 4)))))))
(+.f32 (.f32 u2 (.f32 u2 (+.f32 (.f32 #s(literal -2 binary32) (.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 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32))))))) #s(literal 1/2 binary32))
(+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -1/2 (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4)))) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/2 (- (* 64/45 (pow (PI) 6)) (+ (* -1 (* (pow (PI) 2) (- (* -8/3 (pow (PI) 4)) (* -2 (pow (PI) 4))))) (* 2/3 (pow (PI) 6))))) (* -2/45 (pow (PI) 6))))))))))
(+.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (+.f32 (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32))) (.f32 u2 (.f32 u2 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 #s(literal 64/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (-.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/3 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32))))))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32))))))))) #s(literal 1/2 binary32))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ 1 (cos (* 2 (* u2 (PI))))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
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(* -1 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))
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(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) u1)))))
(* 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))))))))
(+ (log -1) (log (/ 1 u1)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (log.f32 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/3 binary32) (.f32 u1 (*.f32 u1 u1))))) (log.f32 u1)))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 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))))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (neg.f32 u1)) #s(literal -1 binary32)) u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 3 u1)))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 3 binary32))))
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* 3/2 u1)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 3 binary32) (.f32 u1 #s(literal 3/2 binary32))))))
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* u1 (+ 3/2 (* 2 u1)))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 3 binary32) (.f32 u1 (+.f32 #s(literal 3/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))
(+ (log -1) (log (/ 1 u1)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (log (/ 1 u1))) (* 2 (/ 1 u1)))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 #s(literal -2 binary32) u1))
(- (+ (log -1) (+ (log (/ 1 u1)) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (log.f32 u1))) (/.f32 #s(literal -2 binary32) u1))
(- (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 3)))))) (* 2 (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log.f32 u1)) (/.f32 #s(literal -2 binary32) u1)))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (log (/ -1 u1)) (* 2 (/ 1 u1)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -2 binary32) u1))
(+ (log (/ -1 u1)) (* -1 (/ (- 2 (/ 1 u1)) u1)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(+ (log (/ -1 u1)) (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/3 (/ 1 u1))) u1))) u1)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 2 u1)))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 2 binary32) u1))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 2 binary32) u1))))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))

eval211.0ms (1.3%)

Compiler: Compiled 55345 to 5726 computations (89.7% saved)

prune356.0ms (2.2%)

Pruning

68 alts after pruning (62 fresh and 6 done)

	Pruned	Kept	Total
New	1290	24	1314
Fresh	11	38	49
Picked	4	1	5
Done	1	5	6
Total	1306	68	1374

Accuracy

99.9%

Counts

1374 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(pow.f32 u1 #s(literal 1/2 binary32))
	82.8%	(/.f32 (+.f32 (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal -4 binary32))))) (.f32 (.f32 u1 u1) (+.f32 (.f32 #s(literal 1/4 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal -4 binary32)))))) (.f32 u1 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal -4 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) (.f32 (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal -4 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
	82.9%	(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
	81.3%	(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/3 binary32) u1))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
	78.4%	(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
	70.0%	(/.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
	54.9%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
	48.7%	(/.f32 #s(literal 1 binary32) (/.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 binary32) (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (PI.f32) (*.f32 u2 u2)))))))
	78.6%	(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1)))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1)))) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	90.8%	(.f32 (pow.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 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.9%	(.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))))
	86.8%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
	91.3%	(.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.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 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)))
	87.6%	(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) #s(literal 1/2 binary32)))
	86.3%	(.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 u2 u2)))))
	88.0%	(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	96.8%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (+.f32 #s(literal 1/2 binary32) (+.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)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
	89.6%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
	91.4%	(.f32 (sqrt.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (.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)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.9%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
	83.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	93.8%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
	41.2%	(.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 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -2 binary32)))) (-.f32 #s(literal 1/4 binary32) (pow.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -2 binary32)))) #s(literal 2 binary32))))))
	91.5%	(.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 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))))
	91.4%	(.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 (pow.f32 (cos.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	91.4%	(.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 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
	81.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
	87.4%	(.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))))))) (exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)))) #s(literal 1 binary32))))
	91.7%	(.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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) u2)))
✓	91.7%	(.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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal -5/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.8%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
	78.5%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	88.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1/2 binary32) (+.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)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
	88.0%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #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 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
	88.0%	(.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) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) u2)))
✓	88.0%	(.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)))
	91.5%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.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))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (/.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1))) (-.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.6%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 u1 u1) (log1p.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	81.4%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
	90.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 4 binary32)))))) (/.f32 (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) u2) #s(literal 4 binary32))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -2 binary32)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.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)))))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	57.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
✓	51.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
✓	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	46.8%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	48.7%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	76.8%	(.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
	70.0%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	76.9%	(.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))
	85.6%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.7%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
	73.4%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
	71.0%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1))))
	77.4%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
	44.8%	(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
	64.9%	(sqrt.f32 u1)
	63.8%	(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))

Compiler

Compiled 4565 to 1760 computations (61.4% saved)

regimes578.0ms (3.5%)

Counts

112 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/3 binary32) u1))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (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 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) 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 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 -5/3 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))))))) (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 (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)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 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))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.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 binary32) (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (PI.f32) (*.f32 u2 u2)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.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))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.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)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1)))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1)))) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))))
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(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal -4 binary32))) #s(literal -1 binary32))) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))))))
(/.f32 (+.f32 (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal -4 binary32))))) (.f32 (.f32 u1 u1) (+.f32 (.f32 #s(literal 1/4 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal -4 binary32)))))) (.f32 u1 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal -4 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) (.f32 (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal -4 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))

Outputs

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

Calls

10 calls:

117.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
87.0ms	(-.f32 #s(literal 1 binary32) u1)
73.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
71.0ms	cosTheta_i
46.0ms	u1

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	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)))`
99.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes333.0ms (2%)

Counts

98 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/3 binary32) u1))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))
(/.f32 (.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (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 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) 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 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 -5/3 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))))))) (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 (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)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 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))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (/.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 binary32) (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (PI.f32) (*.f32 u2 u2)))))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.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))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.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)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1)))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1)))) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(+.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 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 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 u2))))
(.f32 (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 (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)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(.f32 (exp.f32 (.f32 (log.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) 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 #s(literal 1 binary32) (.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))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32)))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 u1 u1) (log1p.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.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))))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (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 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)))
(.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.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 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)))
(.f32 (pow.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 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #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 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 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.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) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) 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))))))) (exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)))) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.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))) #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 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.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 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (/.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1))) (-.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 2 binary32)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.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 (pow.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) #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 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(.f32 (pow.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) #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 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 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1/2 binary32) (+.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)) (/.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 #s(literal 1/2 binary32) (+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 4 binary32))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1/2 binary32) (+.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)) (/.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 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal -2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 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 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))) #s(literal -2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))

Outputs

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

Calls

10 calls:

39.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
37.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
34.0ms	(-.f32 #s(literal 1 binary32) u1)
29.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
28.0ms	u2

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	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)))`
99.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes298.0ms (1.8%)

Counts

77 → 1

Calls

Call 1

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

Calls

10 calls:

42.0ms	cosTheta_i
39.0ms	(-.f32 #s(literal 1 binary32) u1)
36.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
33.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
32.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	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)))`
99.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes285.0ms (1.7%)

Counts

75 → 1

Calls

Call 1

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

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:

48.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
43.0ms	u1
33.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
28.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
27.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	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)))`
99.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes156.0ms (1%)

Counts

50 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

31.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
17.0ms	cosTheta_i
16.0ms	(-.f32 #s(literal 1 binary32) u1)
15.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
15.0ms	u2

Results

Accuracy	Segments	Branch
93.8%	1	`cosTheta_i`
93.8%	1	`u1`
97.2%	2	`u2`
93.8%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
93.8%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
93.8%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
93.8%	1	`(-.f32 #s(literal 1 binary32) u1)`
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 59 to 50 computations (15.3% saved)

regimes143.0ms (0.9%)

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

9 calls:

27.0ms	cosTheta_i
24.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
22.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
12.0ms	u2
11.0ms	u1

Results

Accuracy	Segments	Branch
91.7%	1	`cosTheta_i`
96.1%	2	`u1`
96.1%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
96.1%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
96.1%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
96.1%	2	`(-.f32 #s(literal 1 binary32) u1)`
96.6%	2	`u2`
96.6%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
96.6%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes107.0ms (0.7%)

Counts

35 → 2

Calls

Call 1

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

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

Calls

8 calls:

28.0ms	(-.f32 #s(literal 1 binary32) u1)
16.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
11.0ms	u1
11.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
10.0ms	u2

Results

Accuracy	Segments	Branch
95.1%	2	`u1`
95.1%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.1%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
95.1%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.1%	2	`(-.f32 #s(literal 1 binary32) u1)`
95.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
95.5%	2	`u2`
95.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes80.0ms (0.5%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

9 calls:

11.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms	cosTheta_i
9.0ms	u2
8.0ms	u1

Results

Accuracy	Segments	Branch
88.0%	1	`cosTheta_i`
92.7%	2	`u1`
92.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
92.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
92.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
92.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
94.0%	2	`u2`
94.0%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes19.0ms (0.1%)

Counts

26 → 2

Calls

Call 1

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

Outputs

(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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)))

Calls

2 calls:

8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	u2

Results

Accuracy	Segments	Branch
94.0%	2	`u2`
94.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes126.0ms (0.8%)

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

49.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
18.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
12.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
8.0ms	(-.f32 #s(literal 1 binary32) u1)
8.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
83.0%	1	`cosTheta_i`
83.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
83.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
83.0%	1	`u1`
83.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
83.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
89.1%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
89.1%	2	`u2`
89.1%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes30.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

8.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
7.0ms	u2
7.0ms	u1
6.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
83.0%	1	`u1`
83.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
83.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
83.0%	1	`u2`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes14.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms	cosTheta_i
4.0ms	u2
4.0ms	u1

Results

Accuracy	Segments	Branch
81.3%	1	`u2`
81.3%	1	`cosTheta_i`
81.3%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

6.0ms	cosTheta_i
4.0ms	u2
4.0ms	u1

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms	u2
3.0ms	cosTheta_i
3.0ms	u1

Results

Accuracy	Segments	Branch
77.8%	2	`u1`
74.5%	1	`cosTheta_i`
78.9%	2	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0%)

Counts

8 → 2

Calls

Call 1

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

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)))))))

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

Calls

2 calls:

4.0ms	u2
3.0ms	u1

Results

Accuracy	Segments	Branch
76.7%	2	`u1`
77.8%	2	`u2`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

3 calls:

4.0ms	u1
3.0ms	cosTheta_i
3.0ms	u2

Results

Accuracy	Segments	Branch
73.4%	1	`u1`
73.4%	1	`cosTheta_i`
73.4%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	cosTheta_i
3.0ms	u1
2.0ms	u2

Results

Accuracy	Segments	Branch
71.0%	1	`cosTheta_i`
71.0%	1	`u2`
71.0%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Accuracy

Total -19.7b remaining (-174.9%)

Threshold costs -19.7b (-174.9%)

Counts

4 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))

Outputs
(sqrt.f32 u1)

Calls

3 calls:

2.0ms	cosTheta_i
2.0ms	u2
2.0ms	u1

Results

Accuracy	Segments	Branch
64.9%	1	`cosTheta_i`
64.9%	1	`u1`
64.9%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9990167617797852	0.9990268349647522

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08947806805372238	0.08952251076698303

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.11408765614032745	0.11425196379423141

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005864908453077078	0.0006335570942610502

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005864908453077078	0.0006335570942610502

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.11917773634195328	0.13741756975650787

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00047265755711123347	0.0005735874874517322

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00047265755711123347	0.0005735874874517322

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	491
1	166	491
2	173	491
3	177	491
4	178	491

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.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)) (/.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 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8380387/8388608 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 12012487/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 15327665/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.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 5153961/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.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 5153961/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 16106127/134217728 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 8589935/17179869184 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u2 #s(literal 8589935/17179869184 binary32)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1))))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.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)) (/.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 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (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 (-.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 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (/.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #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) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8380387/8388608 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 8380387/8388608 binary32)) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 12012487/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 12012487/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 15327665/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 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 15327665/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5153961/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (+.f32 (.f32 #s(literal 1/2 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 5153961/8589934592 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 1/2 binary32) (*.f32 u1 u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5153961/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 5153961/8589934592 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 16106127/134217728 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (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 16106127/134217728 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(if (<=.f32 u2 #s(literal 8589935/17179869184 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u2 #s(literal 8589935/17179869184 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 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 8589935/17179869184 binary32)) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u2 #s(literal 8589935/17179869184 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 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1)))
(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 #s(literal 1/2 binary32) u1))))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))
(sqrt.f32 u1)

soundness2.9s (17.9%)

Rules

8874×	`-lowering-.f32`
8874×	`-lowering-.f64`
8298×	`-lowering-.f32`
8298×	`-lowering-.f64`
7582×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	306	3514
1	982	2874
2	3481	2640
0	8034	2640
0	59	360
1	384	265
2	3433	207
0	8531	207
0	59	258
1	356	233
2	2807	171
0	8505	171
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	908	8634
1	3176	7395
0	8827	7395
0	855	8014
1	2838	6873
0	8501	6873
0	666	7623
1	2372	6343
0	9147	6343
0	22	68
1	94	68
2	538	60
3	4579	60
0	8446	60
0	54	291
1	324	261
2	2822	214
0	8288	214

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

Compiler

Compiled 1409 to 834 computations (40.8% saved)

preprocess121.0ms (0.7%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 2108 to 1124 computations (46.7% saved)

analyze501.0ms (3.1%)

sample2.3s (14.2%)

preprocess79.0ms (0.5%)

explain190.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.1%)

localize165.0ms (1%)

series48.0ms (0.3%)

rewrite313.0ms (1.9%)

simplify473.0ms (2.9%)

eval45.0ms (0.3%)

prune124.0ms (0.8%)

simplify222.0ms (1.4%)

localize1.1s (6.5%)

series167.0ms (1%)

rewrite323.0ms (2%)

simplify423.0ms (2.6%)

eval242.0ms (1.5%)

prune249.0ms (1.5%)

simplify171.0ms (1%)

localize445.0ms (2.7%)

series26.0ms (0.2%)

rewrite362.0ms (2.2%)

simplify657.0ms (4%)

eval174.0ms (1.1%)

prune256.0ms (1.6%)

simplify213.0ms (1.3%)

localize419.0ms (2.6%)

series94.0ms (0.6%)

rewrite329.0ms (2%)

simplify362.0ms (2.2%)

eval211.0ms (1.3%)

prune356.0ms (2.2%)

regimes578.0ms (3.5%)

regimes333.0ms (2%)

regimes298.0ms (1.8%)

regimes285.0ms (1.7%)

regimes156.0ms (1%)

regimes143.0ms (0.9%)

regimes107.0ms (0.7%)

regimes80.0ms (0.5%)

regimes19.0ms (0.1%)

regimes126.0ms (0.8%)

regimes30.0ms (0.2%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

soundness2.9s (17.9%)

preprocess121.0ms (0.7%)

end0.0ms (0%)

Profiling