Metrics for Beckmann Sample, near normal, slope

analyze981.0ms (3.3%)

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: 651.0ms

ival-<=: 145.0ms (22.3% of total)

...c/correct-round.rkt:119:19: 125.0ms (19.2% of total)

ival-mult: 117.0ms (18% of total)

ival-log: 72.0ms (11.1% of total)

ival-cos: 48.0ms (7.4% of total)

ival-sqrt: 31.0ms (4.8% of total)

ival-and: 27.0ms (4.1% of total)

ival-sub: 24.0ms (3.7% of total)

ival-neg: 21.0ms (3.2% of total)

ival->: 19.0ms (2.9% of total)

ival-pi: 16.0ms (2.5% of total)

const: 4.0ms (0.6% of total)

backward-pass: 1.0ms (0.2% of total)

sample5.0s (17.1%)

Results

4.2s	8256×	0	valid
2.0ms	6×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-sub: 593.0ms (18.1% of total)

...c/correct-round.rkt:119:19: 521.0ms (15.9% of total)

ival-<=: 494.0ms (15% of total)

ival-mult: 463.0ms (14.1% of total)

ival-log: 348.0ms (10.6% of total)

ival-sqrt: 234.0ms (7.1% of total)

ival-cos: 228.0ms (6.9% of total)

ival-and: 121.0ms (3.7% of total)

ival-neg: 94.0ms (2.9% of total)

ival->: 87.0ms (2.6% of total)

ival-pi: 77.0ms (2.3% of total)

const: 19.0ms (0.6% of total)

backward-pass: 5.0ms (0.2% of total)

Bogosity

preprocess216.0ms (0.7%)

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)

explain291.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
196	8	(0.9999460577964783 0.009246288798749447 2.5577151507860663e-10)	8	(0.9999696016311646 0.014050926081836224 0.00022480724146589637)	`(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

179.0ms

512×

valid

Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions

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

ival-mult: 26.0ms (29.9% of total)

ival-log: 17.0ms (19.5% of total)

ival-cos: 14.0ms (16.1% of total)

ival-sqrt: 9.0ms (10.3% of total)

ival-neg: 8.0ms (9.2% of total)

ival-sub: 6.0ms (6.9% of total)

ival-pi: 5.0ms (5.7% of total)

const: 2.0ms (2.3% of total)

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

eval1.0ms (0%)

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

prune3.0ms (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))))
▶	60.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

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))))

▶

60.6%

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

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify19.0ms (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

localize260.0ms (0.9%)

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%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓	accuracy	99.6%	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	99.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.6%	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	58.5%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

194.0ms

256×

valid

Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-pi: 33.0ms (24.7% of total)

ival-mult: 26.0ms (19.5% of total)

ival-log: 16.0ms (12% of total)

ival-cos: 14.0ms (10.5% of total)

ival-neg: 14.0ms (10.5% of total)

compiled-spec: 12.0ms (9% of total)

ival-sqrt: 9.0ms (6.7% of total)

ival-sub: 6.0ms (4.5% of total)

ival-add: 3.0ms (2.2% of total)

const: 1.0ms (0.7% of total)

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

series127.0ms (0.4%)

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
87.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
5.0ms	u2	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
4.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
3.0ms	u1	@	-inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
3.0ms	u1	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite657.0ms (2.2%)

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	531	60
3	4574	60
0	8351	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))))

simplify725.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

5686×	`-lowering-.f32`
5686×	`-lowering-.f64`
3272×	`+-lowering-+.f64`
3272×	`+-lowering-+.f32`
2402×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	3514
1	982	2936
2	3477	2700
0	8030	2700

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

eval131.0ms (0.4%)

Compiler: Compiled 14387 to 1280 computations (91.1% saved)

prune248.0ms (0.8%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	509	26	535
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	509	28	537

Accuracy

99.7%

Counts

537 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.1%	(.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)))
	92.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	90.7%	(.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)))
	86.1%	(.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)))
	83.2%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (.f32 u1 (.f32 u1 u1)))) (.f32 (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (+.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)))
	83.2%	(.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)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
▶	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
	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)))))
▶	98.8%	(.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)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (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)))))))))))
	98.5%	(.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))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	98.4%	(.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))))
	86.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	89.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
▶	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)))))
	98.5%	(.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)))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶	78.2%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
	53.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	60.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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)))))
✓	60.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	50.3%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	74.2%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 1569 to 991 computations (36.8% saved)

simplify401.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

1830×	`+-lowering-+.f64`
1830×	`+-lowering-+.f32`
1744×	`-lowering-.f32`
1744×	`-lowering-.f64`
1446×	`--lowering--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	501
1	117	489
2	337	455
3	928	392
4	2996	356
5	6565	356
0	8215	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 (neg u1))))) (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)
(- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2)))))
(+ 1 (cos (* 2 (* (PI) u2))))
1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(- 1 (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2)))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))
(cos (* (PI) u2))
(* (PI) u2)
(PI)
u2
(/ (- 1 (cos (* 2 (* (PI) u2)))) -2)
(- 1 (cos (* 2 (* (PI) u2))))
1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
-2

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

localize645.0ms (2.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	40.8%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
✓	accuracy	99.1%	(-.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)))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	40.8%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
✓	accuracy	99.1%	(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))
✓	accuracy	98.9%	(*.f32 u1 #s(literal 1/3 binary32))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(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	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	40.8%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))

Results

372.0ms	253×	0	valid
21.0ms	3×	5	exit

Compiler

Compiled 452 to 41 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-mult: 60.0ms (33.7% of total)

ival-add: 22.0ms (12.3% of total)

ival-cos: 21.0ms (11.8% of total)

compiled-spec: 21.0ms (11.8% of total)

ival-div: 9.0ms (5% of total)

ival-sqrt: 9.0ms (5% of total)

ival-log: 8.0ms (4.5% of total)

...c/correct-round.rkt:119:19: 7.0ms (3.9% of total)

ival-sub: 6.0ms (3.4% of total)

ival-neg: 6.0ms (3.4% of total)

backward-pass: 4.0ms (2.2% of total)

const: 2.0ms (1.1% of total)

ival-pi: 2.0ms (1.1% of total)

series228.0ms (0.8%)

Counts

23 → 312

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

Calls

78 calls:

Time	Variable		Point	Expression
127.0ms	u1	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2)))
21.0ms	u1	@	-inf	(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))
5.0ms	u1	@	-inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))))
5.0ms	u2	@	0	(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))
4.0ms	u2	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))))

rewrite973.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2452×	`-lowering-.f32`
2452×	`-lowering-.f64`
2388×	`fma-lowering-fma.f32`
2388×	`fma-lowering-fma.f64`
1656×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	252
1	260	235
2	2480	170
0	8533	170

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 762

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

Outputs
(+.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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)))))) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(+.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 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 (neg.f32 (log1p.f32 (neg.f32 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 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(+.f32 (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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)))))))
(pow.f32 (/.f32 #s(literal 2 binary32) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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)))))) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(fma.f32 #s(literal 1 binary32) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 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 #s(literal 1 binary32) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 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 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 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 (neg.f32 (log1p.f32 (neg.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 -2 binary32))) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 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 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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))))) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(fma.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 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 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (.f32 #s(literal 1 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 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(fma.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 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 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (.f32 #s(literal -1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32))) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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 (.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 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (.f32 (cos.f32 (.f32 (PI.f32) u2)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(fma.f32 (+.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 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(fma.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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)))))) #s(literal 1 binary32) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(fma.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 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 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 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 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal 1 binary32) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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 (+.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)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(fma.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2)) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(fma.f32 (.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal -1/2 binary32) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))))
(/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(/.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))) #s(literal -2 binary32))
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(/.f32 (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))) (+.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))
(/.f32 (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))) #s(literal 0 binary32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 u2 (+.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 u1 #s(literal 1/3 binary32))
(*.f32 #s(literal 1/3 binary32) u1)
(+.f32 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 #s(literal 1/2 binary32)))
(+.f32 (.f32 u1 #s(literal 1/2 binary32)) (.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)))))
(+.f32 (.f32 (.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))
(fma.f32 u1 #s(literal 1/2 binary32) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32))))
(fma.f32 u1 (.f32 u1 #s(literal 1/3 binary32)) (.f32 u1 #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) u1 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32))))
(fma.f32 #s(literal 1/3 binary32) (.f32 u1 u1) (.f32 u1 #s(literal 1/2 binary32)))
(fma.f32 (.f32 u1 #s(literal 1/3 binary32)) u1 (.f32 u1 #s(literal 1/2 binary32)))
(fma.f32 (.f32 u1 u1) #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/2 binary32)))
(fma.f32 (.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32))) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 #s(literal 1/8 binary32) (.f32 u1 (.f32 u1 u1))) (.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/27 binary32)) (.f32 u1 (.f32 u1 u1)))) (+.f32 (.f32 (.f32 u1 #s(literal 1/2 binary32)) (.f32 u1 #s(literal 1/2 binary32))) (-.f32 (.f32 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))) (.f32 (.f32 u1 #s(literal 1/2 binary32)) (.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)))))))
(/.f32 (-.f32 (.f32 (.f32 u1 #s(literal 1/2 binary32)) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32))))) (-.f32 (.f32 u1 #s(literal 1/2 binary32)) (.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)))))
(/.f32 (.f32 u1 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/27 binary32)))) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 #s(literal 1/3 binary32)) (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
(/.f32 (.f32 u1 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 u1) #s(literal 1/9 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/3 binary32) u1)))
(/.f32 (.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/27 binary32))) u1) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 #s(literal 1/3 binary32)) (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 u1) #s(literal 1/9 binary32))) u1) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/3 binary32) u1)))
(.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))
(.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) u1)
(.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) u1)

simplify999.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

8798×	`-lowering-.f32`
8798×	`-lowering-.f64`
4102×	`+-lowering-+.f64`
4102×	`+-lowering-+.f32`
1884×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	689	7342
1	2424	6410
0	9120	6410

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
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(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* 1/3 (pow (PI) 4))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -2/45 (pow (PI) 6)) (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6))))))))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(* 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 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 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)
(* 1/2 u1)
(* u1 (+ 1/2 (* 1/3 u1)))
(* u1 (+ 1/2 (* 1/3 u1)))
(* u1 (+ 1/2 (* 1/3 u1)))
(* 1/3 (pow u1 2))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* 1/3 (pow u1 2))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 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 (sqrt.f32 u1) #s(literal -1 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))))))))))))
(+.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 (sqrt.f32 u1) #s(literal -1 binary32))) (.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))))))
(+ (* (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))))))))))))))
(+.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 (sqrt.f32 u1) #s(literal -1 binary32))) (.f32 (.f32 u1 u1) (+.f32 (.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (+.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 -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 (+.f32 (.f32 (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) (neg.f32 u1))) (.f32 (sqrt.f32 u1) #s(literal -1/2 binary32))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (+.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 (.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))))))
(* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))
(+.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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))) 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))))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.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 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 u1 u1))) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))) 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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1/2 (- 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)))))))))
(+.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.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 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 u1 u1))) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))) 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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.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 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (.f32 u1 (.f32 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)))))))))
(.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 -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -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))))))))))
(+.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 -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (.f32 (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal 1/2 binary32))) u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal -1/2 binary32))))
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(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))))
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(* (sqrt (pow u1 3)) (* (pow (sqrt -1) 2) (sqrt 1/3)))
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u1
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(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
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1
#s(literal 1 binary32)
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(.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* 1/3 (pow (PI) 4))))))))
(+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -2/45 (pow (PI) 6)) (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6))))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 u2 (.f32 u2 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (pow (cos (* u2 (PI))) 2))
(+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32))) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 4/45 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (.f32 (.f32 u2 u2) #s(literal -2/315 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 4/45 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32)))) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/2 u1)
(*.f32 u1 #s(literal 1/2 binary32))
(* u1 (+ 1/2 (* 1/3 u1)))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))
(* u1 (+ 1/2 (* 1/3 u1)))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))
(* u1 (+ 1/2 (* 1/3 u1)))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))
(* 1/3 (pow u1 2))
(.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))))
(* 1/3 (pow u1 2))
(.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(.f32 u1 (.f32 u1 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))))

eval581.0ms (2%)

Compiler: Compiled 63062 to 4239 computations (93.3% saved)

prune631.0ms (2.1%)

Pruning

50 alts after pruning (46 fresh and 4 done)

	Pruned	Kept	Total
New	1816	38	1854
Fresh	13	8	21
Picked	3	2	5
Done	0	2	2
Total	1832	50	1882

Accuracy

100.0%

Counts

1882 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.6%	(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
	98.9%	(/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	98.4%	(/.f32 (+.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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)))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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)))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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)))))) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))))
	5.0%	(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
	90.2%	(.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)))
▶	90.7%	(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.6%	(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	90.5%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.2%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.8%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.9%	(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.1%	(.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))
	90.3%	(.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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
	90.6%	(.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) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	90.7%	(.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)))
	86.1%	(.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)))
	70.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	90.7%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.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)))))
	78.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
	90.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	48.0%	(.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))
	78.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.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))))
	37.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (fma.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) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32)))
	43.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) #s(literal 2 binary32)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
✓	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.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)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) #s(literal 2 binary32)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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)))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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))))))))
	86.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (sin.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 #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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))))))
	86.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
	98.5%	(.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)))))
▶	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	53.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	60.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	50.3%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	48.6%	(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	74.2%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.3%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
▶	5.0%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
	88.5%	(.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)))
	73.0%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
	78.2%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Compiler

Compiled 2545 to 1675 computations (34.2% saved)

simplify420.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 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 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #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	(.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
✓	cost-diff	0	(pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1/4 binary32))
✓	cost-diff	0	(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
✓	cost-diff	64	(neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
✓	cost-diff	64	(sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
✓	cost-diff	128	(.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))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	32	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	cost-diff	3328	(-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
✓	cost-diff	3456	(+.f32 (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32))
✓	cost-diff	3584	(/.f32 (+.f32 (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 1 binary32)) #s(literal 2 binary32))
✓	cost-diff	3584	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) #s(literal 2 binary32)))

Rules

2494×	`-lowering-.f32`
2494×	`-lowering-.f64`
1600×	`+-lowering-+.f64`
1600×	`+-lowering-+.f32`
1284×	`sum4-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	21474836864
1	124	21474836840
2	319	21474836827
3	959	21474836788
4	4412	21474836771
5	5913	21474836771
0	8004	345

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize989.0ms (3.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	98.3%	(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
✓	accuracy	96.9%	(pow.f32 (PI.f32) #s(literal 2/3 binary32))
✓	accuracy	98.9%	(*.f32 u1 #s(literal 1/3 binary32))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	98.8%	(.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
✓	accuracy	99.9%	(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
✓	accuracy	99.6%	(/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
✓	accuracy	56.2%	(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
✓	accuracy	100.0%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.3%	(-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u2)
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	40.8%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))

Results

561.0ms	253×	0	valid
20.0ms	3×	5	exit

Compiler

Compiled 430 to 53 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 318.0ms

ival-mult: 103.0ms (32.4% of total)

ival-cos: 46.0ms (14.5% of total)

ival-pow: 43.0ms (13.5% of total)

ival-log: 22.0ms (6.9% of total)

compiled-spec: 18.0ms (5.7% of total)

ival-add: 16.0ms (5% of total)

...c/correct-round.rkt:119:19: 14.0ms (4.4% of total)

ival-neg: 14.0ms (4.4% of total)

ival-sqrt: 13.0ms (4.1% of total)

ival-div: 12.0ms (3.8% of total)

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

backward-pass: 4.0ms (1.3% of total)

const: 2.0ms (0.6% of total)

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

series222.0ms (0.8%)

Counts

29 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
142.0ms	u1	@	0	(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) 1/4) (cos (* (* 2 (PI)) u2)))
27.0ms	u2	@	0	(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) 1/4) (cos (* (* 2 (PI)) u2)))
7.0ms	u2	@	0	(* u2 (pow (PI) 1/3))
2.0ms	u1	@	inf	(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) 1)
2.0ms	u1	@	-inf	(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) 1/4) (cos (* (* 2 (PI)) u2)))

rewrite937.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3714×	`-lowering-.f32`
3714×	`-lowering-.f64`
2046×	`+-lowering-+.f64`
2046×	`+-lowering-+.f32`
1734×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	299
1	279	224
2	2253	173
0	9013	172

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 677

Calls

Call 1

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

Outputs
(pow.f32 (/.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32)))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32)))))))
(/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))
(/.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32)))))) #s(literal -2 binary32))
(/.f32 (.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32)))))) #s(literal -2 binary32))
(/.f32 (.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(literal -2 binary32))
(.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))
(.f32 (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32)))) (.f32 #s(literal 1/2 binary32) (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 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))))) #s(literal 1/2 binary32))
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32)))) #s(literal -2 binary32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))
(cos.f32 (+.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))) #s(literal -1 binary32)))
(+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))
(pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #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 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.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 (+.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 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 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)))))))
(-.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 2 binary32)) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32)))) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))))) #s(literal -2 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))) #s(literal 3 binary32))) (.f32 #s(literal 2 binary32) (+.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32)))))))
(/.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (+.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))) #s(literal -1 binary32))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32)))))) #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 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 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))))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (+.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))))))
(/.f32 (.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (+.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))) #s(literal -1 binary32)))
(.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32)))))
(.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))))) #s(literal -1 binary32)))
(.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32))))) #s(literal -1/2 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))))
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(+.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))) (.f32 u1 (.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 u1 (.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 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/9 binary32)) (pow.f32 (PI.f32) #s(literal 2/9 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/6 binary32)) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/9 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/9 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/3 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/9 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) #s(literal 1 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/9 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 u2 (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 2/3 binary32))))
(.f32 (.f32 u2 (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 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 u2 #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (*.f32 u2 (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 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))

simplify887.0ms (3%)

Algorithm

1×	egg-herbie

Rules

6428×	`-lowering-.f32`
6428×	`-lowering-.f64`
3130×	`+-lowering-+.f64`
3130×	`+-lowering-+.f32`
1940×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	642	5873
1	2153	5134
2	7609	5130
0	8670	5130

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

eval393.0ms (1.3%)

Compiler: Compiled 41280 to 4820 computations (88.3% saved)

prune656.0ms (2.2%)

Pruning

57 alts after pruning (51 fresh and 6 done)

	Pruned	Kept	Total
New	1373	19	1392
Fresh	9	32	41
Picked	3	2	5
Done	0	4	4
Total	1385	57	1442

Accuracy

100.0%

Counts

1442 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.6%	(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
	98.9%	(/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	5.0%	(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
▶	70.3%	(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
▶	90.2%	(.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)))
	5.0%	(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
	85.8%	(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	90.4%	(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.2%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.6%	(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	90.5%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.2%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.0%	(.f32 (.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.4%	(.f32 (.f32 (pow.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.9%	(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.1%	(.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))
	90.3%	(.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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
	90.6%	(.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) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	90.7%	(.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)))
	86.1%	(.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)))
	70.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	90.7%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))))))) #s(literal 1 binary32))
✓	48.0%	(.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))
	36.4%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1 binary32))
	40.8%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) #s(literal 1 binary32))
	42.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))) #s(literal 1 binary32))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.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))))
	43.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) #s(literal 2 binary32)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
✓	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.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)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) #s(literal -1 binary32)))) #s(literal 2 binary32)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) #s(literal 2 binary32)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) #s(literal 1 binary32)) #s(literal 2 binary32)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))))))
	86.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (sin.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 #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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))))))
	86.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
	98.5%	(.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)))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 u2 (cbrt.f32 (PI.f32)))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	53.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	60.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	50.3%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	48.6%	(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	74.2%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.5%	(.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)))
	5.0%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
	73.0%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
	78.2%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
▶	62.3%	(sqrt.f32 u1)
	5.0%	(neg.f32 (sqrt.f32 u1))

Compiler

Compiled 2495 to 1776 computations (28.8% saved)

simplify516.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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	(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))
✓	cost-diff	3232	(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))
✓	cost-diff	3232	(.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)))
✓	cost-diff	0	(*.f32 u1 u1)
✓	cost-diff	0	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32))))))
✓	cost-diff	0	(pow.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32))
✓	cost-diff	0	(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	3520	(+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) #s(literal -1 binary32)))
✓	cost-diff	7104	(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal -1 binary32))))
✓	cost-diff	7232	(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal -1 binary32)))) #s(literal 2 binary32))
✓	cost-diff	7232	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) #s(literal -1 binary32)))) #s(literal 2 binary32)))

Rules

3094×	`--lowering--.f32`
3094×	`--lowering--.f64`
2468×	`+-lowering-+.f64`
2468×	`+-lowering-+.f32`
1722×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	529
1	139	464
2	424	400
3	1522	319
4	6891	319
0	8825	319

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))) 2))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(/ (- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))) 2)
(- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1)))
(+ 1/2 (* 1/2 (cos (* (PI) (* u2 2)))))
1/2
(* 1/2 (cos (* (PI) (* u2 2))))
(cos (* (PI) (* u2 2)))
(* (PI) (* u2 2))
(PI)
(* u2 2)
u2
2
(+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))
(- 1/2 (* 1/2 (cos (* (PI) (* u2 2)))))
(+ (- 1 (cos (* (PI) (* u2 2)))) -1)
(- 1 (cos (* (PI) (* u2 2))))
1
-1
(sqrt u1)
u1
(+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) 1/4))
(sqrt u1)
u1
(* (sqrt (* u1 (* u1 u1))) 1/4)
(sqrt (* u1 (* u1 u1)))
(* u1 (* u1 u1))
(* u1 u1)
1/4
(* (pow (* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12))))) 1/4) (cos (* (* 2 (PI)) u2)))
(pow (* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12))))) 1/4)
(* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12)))))
(* u1 u1)
u1
(+ 1 (* u1 (+ 1 (* u1 11/12))))
1
(* u1 (+ 1 (* u1 11/12)))
(+ 1 (* u1 11/12))
(* u1 11/12)
11/12
1/4
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (pow (pow (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) 1/4) 2) (cos (* (* 2 (PI)) u2)))
(pow (pow (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) 1/4) 2)
(pow (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) 1/4)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 1/3))))
1
(* u1 (+ 1/2 (* u1 1/3)))
(+ 1/2 (* u1 1/3))
1/2
(* u1 1/3)
1/3
1/4
2
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
(PI)
u2

Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(/ (- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))) 2)
(cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))
(- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal 2 binary32))
(+ 1/2 (* 1/2 (cos (* (PI) (* u2 2)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 2 binary32)))
1/2
#s(literal 1/2 binary32)
(* 1/2 (cos (* (PI) (* u2 2))))
(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 2 binary32))
(cos (* (PI) (* u2 2)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))
(* (PI) (* u2 2))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(PI)
(PI.f32)
(* u2 2)
(*.f32 u2 #s(literal 2 binary32))
u2
2
#s(literal 2 binary32)
(+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -3/2 binary32)))
(- 1/2 (* 1/2 (cos (* (PI) (* u2 2)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -2 binary32)))
(+ (- 1 (cos (* (PI) (* u2 2)))) -1)
(neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))
(- 1 (cos (* (PI) (* u2 2))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))
1
#s(literal 1 binary32)
-1
#s(literal -1 binary32)
(sqrt u1)
(sqrt.f32 u1)
u1
(+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) 1/4))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(sqrt u1)
(sqrt.f32 u1)
u1
(* (sqrt (* u1 (* u1 u1))) 1/4)
(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(sqrt (* u1 (* u1 u1)))
(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
(* u1 (* u1 u1))
(.f32 u1 (.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
1/4
#s(literal 1/4 binary32)
(* (pow (* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12))))) 1/4) (cos (* (* 2 (PI)) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (pow.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)))
(pow (* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12))))) 1/4)
(pow.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32))
(* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12)))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32))))))
(* u1 u1)
(*.f32 u1 u1)
u1
(+ 1 (* u1 (+ 1 (* u1 11/12))))
(+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32)))))
1
#s(literal 1 binary32)
(* u1 (+ 1 (* u1 11/12)))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32))))
(+ 1 (* u1 11/12))
(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))
(* u1 11/12)
(*.f32 u1 #s(literal 11/12 binary32))
11/12
#s(literal 11/12 binary32)
1/4
#s(literal 1/4 binary32)
(cos (* (* 2 (PI)) u2))
(cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))
(* (* 2 (PI)) u2)
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(* 2 (PI))
(*.f32 (PI.f32) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (pow (pow (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) 1/4) 2) (cos (* (* 2 (PI)) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (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)))
(pow (pow (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) 1/4) 2)
(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))
(pow (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) 1/4)
(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))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 1/3))))
(+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 1/3)))
(.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))
(+ 1/2 (* u1 1/3))
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))
1/2
#s(literal 1/2 binary32)
(* u1 1/3)
(*.f32 u1 #s(literal 1/3 binary32))
1/3
#s(literal 1/3 binary32)
1/4
#s(literal 1/4 binary32)
2
#s(literal 2 binary32)
(cos (* (* 2 (PI)) u2))
(cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))
(* (* 2 (PI)) u2)
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(* 2 (PI))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI)
(PI.f32)
u2

localize860.0ms (2.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(*.f32 u1 #s(literal 1/3 binary32))
✓	accuracy	98.7%	(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))
✓	accuracy	86.8%	(PI.f32)
✓	accuracy	99.3%	(*.f32 u1 #s(literal 11/12 binary32))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	99.0%	(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32))))))
✓	accuracy	86.8%	(PI.f32)
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.7%	(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
✓	accuracy	99.4%	(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
✓	accuracy	99.3%	(.f32 u1 (.f32 u1 u1))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.0%	(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
✓	accuracy	86.8%	(PI.f32)
✓	accuracy	48.3%	(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))
✓	accuracy	48.3%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))

Results

387.0ms	220×	0	valid
252.0ms	36×	5	exit

Compiler

Compiled 457 to 52 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-mult: 90.0ms (25.3% of total)

ival-pow: 73.0ms (20.6% of total)

backward-pass: 53.0ms (14.9% of total)

ival-add: 33.0ms (9.3% of total)

...c/correct-round.rkt:119:19: 19.0ms (5.4% of total)

ival-cos: 17.0ms (4.8% of total)

compiled-spec: 16.0ms (4.5% of total)

ival-sqrt: 15.0ms (4.2% of total)

ival-sub: 11.0ms (3.1% of total)

ival-log: 10.0ms (2.8% of total)

ival-neg: 7.0ms (2% of total)

ival-div: 5.0ms (1.4% of total)

ival-pi: 5.0ms (1.4% of total)

const: 2.0ms (0.6% of total)

series127.0ms (0.4%)

Counts

24 → 312

Calls

Call 1

Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))) 2))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))) 2)>
#<alt (- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1)))>
#<alt (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) 1/4))>
#<alt (* (sqrt (* u1 (* u1 u1))) 1/4)>
#<alt (sqrt (* u1 (* u1 u1)))>
#<alt (* (pow (* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12))))) 1/4) (cos (* (* 2 (PI)) u2)))>
#<alt (pow (* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12))))) 1/4)>
#<alt (* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12)))))>
#<alt (* u1 u1)>
#<alt (* (pow (pow (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) 1/4) 2) (cos (* (* 2 (PI)) u2)))>
#<alt (pow (pow (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) 1/4) 2)>
#<alt (pow (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) 1/4)>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))>
#<alt (- 1 (cos (* (PI) (* u2 2))))>
#<alt (- 1/2 (* 1/2 (cos (* (PI) (* u2 2)))))>
#<alt (PI)>
#<alt (* (PI) (* u2 2))>
#<alt (* u1 (* u1 u1))>
#<alt (* (* 2 (PI)) u2)>
#<alt (* u1 11/12)>
#<alt (* u1 1/3)>

Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt 2>
#<alt (+ 2 (* -4 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 4/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -8/45 (* (pow u2 2) (pow (PI) 6))) (* 4/3 (pow (PI) 4)))))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 2 (cos (* 2 (* u2 (PI)))))>
#<alt -1>
#<alt (- (* -1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* -1 (pow (PI) 2))))) 1)>
#<alt (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* 2/3 (pow (PI) 4))))) (+ (* -2 (pow (PI) 2)) (* -1 (pow (PI) 2))))) 1)>
#<alt (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -4/45 (pow (PI) 6)) (* -2/45 (pow (PI) 6))))) (+ (* 1/3 (pow (PI) 4)) (* 2/3 (pow (PI) 4))))) (+ (* -2 (pow (PI) 2)) (* -1 (pow (PI) 2))))) 1)>
#<alt (- 1/2 (+ (cos (* 2 (* u2 (PI)))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- 1/2 (+ (cos (* 2 (* u2 (PI)))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- 1/2 (+ (cos (* 2 (* u2 (PI)))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- 1/2 (+ (cos (* 2 (* u2 (PI)))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- 1/2 (+ (cos (* 2 (* u2 (PI)))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- 1/2 (+ (cos (* 2 (* u2 (PI)))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- 1/2 (+ (cos (* 2 (* u2 (PI)))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (- 1/2 (+ (cos (* 2 (* u2 (PI)))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
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#<alt (* 1/3 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))>
#<alt (* 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 (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (- (* -1/3 (* (pow u2 2) (pow (PI) 4))) (* -1 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* 2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* -2/45 (pow (PI) 6)))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (* 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 (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<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 (* 11/12 u1)>
#<alt (* 11/12 u1)>
#<alt (* 11/12 u1)>
#<alt (* 11/12 u1)>
#<alt (* 11/12 u1)>
#<alt (* 11/12 u1)>
#<alt (* 11/12 u1)>
#<alt (* 11/12 u1)>
#<alt (* 11/12 u1)>
#<alt (* 11/12 u1)>
#<alt (* 11/12 u1)>
#<alt (* 11/12 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)>

Calls

78 calls:

Time	Variable		Point	Expression
55.0ms	u2	@	inf	(* (pow (* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12))))) 1/4) (cos (* (* 2 (PI)) u2)))
6.0ms	u2	@	0	(+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))
4.0ms	u1	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))) 2))
4.0ms	u2	@	0	(* (pow (* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12))))) 1/4) (cos (* (* 2 (PI)) u2)))
3.0ms	u2	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))) 2))

rewrite827.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3226×	`fma-lowering-fma.f32`
3226×	`fma-lowering-fma.f64`
2202×	`-lowering-.f32`
2202×	`-lowering-.f64`
2148×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	296
1	325	255
2	3127	215
0	8205	215

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 408

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))) 2))
(/ (- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))) 2)
(- (+ 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1)))
(+ (- 1/2 (* 1/2 (cos (* (PI) (* u2 2))))) (+ (- 1 (cos (* (PI) (* u2 2)))) -1))
(sqrt u1)
(+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) 1/4))
(* (sqrt (* u1 (* u1 u1))) 1/4)
(sqrt (* u1 (* u1 u1)))
(* (pow (* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12))))) 1/4) (cos (* (* 2 (PI)) u2)))
(pow (* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12))))) 1/4)
(* (* u1 u1) (+ 1 (* u1 (+ 1 (* u1 11/12)))))
(* u1 u1)
(* (pow (pow (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) 1/4) 2) (cos (* (* 2 (PI)) u2)))
(pow (pow (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) 1/4) 2)
(pow (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) 1/4)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))
(- 1 (cos (* (PI) (* u2 2))))
(- 1/2 (* 1/2 (cos (* (PI) (* u2 2)))))
(PI)
(* (PI) (* u2 2))
(* u1 (* u1 u1))
(* (* 2 (PI)) u2)
(* u1 11/12)
(* u1 1/3)

Outputs
(pow.f32 (/.f32 #s(literal 2 binary32) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (*.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 2 binary32) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))
(/.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))))) #s(literal -2 binary32))
(/.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (*.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)) (neg.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))))) #s(literal -2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))))
(/.f32 (.f32 (neg.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (*.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))) #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 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32)))
(.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1/2 binary32))
(neg.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) #s(literal -2 binary32)))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32)) (neg.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) #s(literal 1/2 binary32) (neg.f32 (.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))) (fma.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))))
(pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) #s(literal 1/2 binary32) (neg.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32)))))
(-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32))))
(-.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 2 binary32)) (/.f32 (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))
(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal -2 binary32))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 3 binary32))) (.f32 #s(literal 2 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))))))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))) #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (neg.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))))))
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(+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 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)))))))) (-.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (-.f32 #s(literal 1/4 binary32) (.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 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/2 binary32) (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32))
(fma.f32 (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal 1/2 binary32))
(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))
(-.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 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))))))))) (/.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 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))))))))))
(-.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.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 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.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))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 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)))))))) (-.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (-.f32 #s(literal 1/4 binary32) (.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 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))))
(/.f32 (-.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 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)))))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (.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 (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)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 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))))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (.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 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))) (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))
(/.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32)))) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32))))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))) (cos.f32 (+.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))) #s(literal 2 binary32))
(.f32 (-.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 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))))))))))
(.f32 (-.f32 #s(literal 1/4 binary32) (.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 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))
(.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (.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 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 3 binary32)))) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))) #s(literal 1/2 binary32)))))
(.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (.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 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))))) (-.f32 #s(literal 1/4 binary32) (.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 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))))))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1/2 binary32))))
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 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))
(-.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)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (log.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.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 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 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 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 #s(literal 2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)))
(pow.f32 u1 #s(literal 3 binary32))
(.f32 u1 (.f32 u1 u1))
(.f32 (.f32 u1 u1) u1)
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 u2 #s(literal 2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32)))
(*.f32 u1 #s(literal 11/12 binary32))
(*.f32 #s(literal 11/12 binary32) u1)
(.f32 (.f32 u1 #s(literal 11/12 binary32)) #s(literal 1 binary32))
(*.f32 u1 #s(literal 1/3 binary32))
(*.f32 #s(literal 1/3 binary32) u1)

simplify849.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4854×	`-lowering-.f32`
4854×	`-lowering-.f64`
3272×	`+-lowering-+.f64`
3272×	`+-lowering-+.f32`
1758×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	679	5381
1	2274	4660
2	5953	4590
0	8173	4590

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
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(exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1))))))
(+ (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))) (* 3/8 (/ (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))) u1)))
(+ (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))) (* -1 (/ (+ (* -69/128 (/ (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))) u1)) (* -3/8 (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))))) u1)))
(+ (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* -675/1024 (/ (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))) u1)) (* 69/128 (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))))) u1)) (* -3/8 (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))))) u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* 1/3 (pow u1 3))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* 1/3 (pow u1 3))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
(* 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)))))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (- (* -1/3 (* (pow u2 2) (pow (PI) 4))) (* -1 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* -2/45 (pow (PI) 6)))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(* 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)))
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(* 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)))
(* 11/12 u1)
(* 11/12 u1)
(* 11/12 u1)
(* 11/12 u1)
(* 11/12 u1)
(* 11/12 u1)
(* 11/12 u1)
(* 11/12 u1)
(* 11/12 u1)
(* 11/12 u1)
(* 11/12 u1)
(* 11/12 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)
(* 1/3 u1)

Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal -1 binary32))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal -1 binary32)) (.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(+ (* (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 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal -1 binary32)) (.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))))))
(+ (* (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 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) #s(literal -1 binary32)) (.f32 (.f32 u1 u1) (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 (+.f32 (.f32 #s(literal -1/2 binary32) (.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 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/6 binary32)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (.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))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.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)))))))) (+ (* -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 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 u1)))))))) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 u1 (.f32 u1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+.f32 (.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (-.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (.f32 (/.f32 #s(literal -1/2 binary32) u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) u1))))) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 #s(literal -2 binary32) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 #s(literal -4/45 binary32) (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) #s(literal 6 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 #s(literal 2/3 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
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)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (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 #s(literal -4/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
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(* (sqrt (pow u1 3)) (sqrt 1/3))
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(* (sqrt (pow u1 3)) (* (sqrt -1) (sqrt -1/3)))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3)))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))
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(exp (* 1/4 (+ (log 1/3) (* -3 (log (/ 1 u1))))))
(exp.f32 (.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal 1/3 binary32)) (.f32 (log.f32 u1) #s(literal -3 binary32)))))
(+ (exp (* 1/4 (+ (log 1/3) (* -3 (log (/ 1 u1)))))) (* 3/8 (/ (exp (* 1/4 (+ (log 1/3) (* -3 (log (/ 1 u1)))))) u1)))
(+.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal 1/3 binary32)) (.f32 (log.f32 u1) #s(literal -3 binary32))))) (.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal 1/3 binary32)) (*.f32 (log.f32 u1) #s(literal -3 binary32))))) (/.f32 #s(literal 3/8 binary32) u1)))
(+ (exp (* 1/4 (+ (log 1/3) (* -3 (log (/ 1 u1)))))) (+ (* 3/8 (/ (exp (* 1/4 (+ (log 1/3) (* -3 (log (/ 1 u1)))))) u1)) (* 69/128 (/ (exp (* 1/4 (+ (log 1/3) (* -3 (log (/ 1 u1)))))) (pow u1 2)))))
(+.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal 1/3 binary32)) (.f32 (log.f32 u1) #s(literal -3 binary32))))) (+.f32 (.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal 1/3 binary32)) (.f32 (log.f32 u1) #s(literal -3 binary32))))) (/.f32 #s(literal 3/8 binary32) u1)) (/.f32 (.f32 #s(literal 69/128 binary32) (exp.f32 (.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal 1/3 binary32)) (.f32 (log.f32 u1) #s(literal -3 binary32)))))) (*.f32 u1 u1))))
(+ (exp (* 1/4 (+ (log 1/3) (* -3 (log (/ 1 u1)))))) (+ (* -675/1024 (/ (exp (* 1/4 (+ (log 1/3) (* -3 (log (/ 1 u1)))))) (pow u1 3))) (+ (* 3/8 (/ (exp (* 1/4 (+ (log 1/3) (* -3 (log (/ 1 u1)))))) u1)) (* 69/128 (/ (exp (* 1/4 (+ (log 1/3) (* -3 (log (/ 1 u1)))))) (pow u1 2))))))
(+.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal 1/3 binary32)) (.f32 (log.f32 u1) #s(literal -3 binary32))))) (+.f32 (.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal 1/3 binary32)) (.f32 (log.f32 u1) #s(literal -3 binary32))))) (/.f32 #s(literal 3/8 binary32) u1)) (+.f32 (/.f32 (.f32 #s(literal 69/128 binary32) (exp.f32 (.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal 1/3 binary32)) (.f32 (log.f32 u1) #s(literal -3 binary32)))))) (.f32 u1 u1)) (.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal 1/3 binary32)) (.f32 (log.f32 u1) #s(literal -3 binary32))))) (/.f32 #s(literal -675/1024 binary32) (.f32 u1 (.f32 u1 u1)))))))
(exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1))))))
(exp.f32 (.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1/3 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32)))))
(+ (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))) (* 3/8 (/ (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))) u1)))
(+.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1/3 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32))))) (.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1/3 binary32)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32))))) (/.f32 #s(literal 3/8 binary32) u1)))
(+ (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))) (* -1 (/ (+ (* -69/128 (/ (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))) u1)) (* -3/8 (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))))) u1)))
(-.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1/3 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32))))) (/.f32 (+.f32 (.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1/3 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32))))) (/.f32 #s(literal -69/128 binary32) u1)) (.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1/3 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32))))) #s(literal -3/8 binary32))) u1))
(+ (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* -675/1024 (/ (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))) u1)) (* 69/128 (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))))) u1)) (* -3/8 (exp (* 1/4 (+ (log -1/3) (* -3 (log (/ -1 u1)))))))) u1)))
(-.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1/3 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32))))) (/.f32 (-.f32 (.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1/3 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32))))) #s(literal -3/8 binary32)) (/.f32 (+.f32 (.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1/3 binary32)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32))))) (/.f32 #s(literal -675/1024 binary32) u1)) (.f32 #s(literal 69/128 binary32) (exp.f32 (.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1/3 binary32)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32))))))) u1)) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
(* 1/3 (pow u1 3))
(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 1/3 binary32))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))))
(* 1/3 (pow u1 3))
(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 1/3 binary32))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
(.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) (neg.f32 (.f32 u1 (*.f32 u1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
(.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) (neg.f32 (.f32 u1 (*.f32 u1 u1))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(.f32 (.f32 #s(literal 2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)))
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 #s(literal -2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 #s(literal 4/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (PI.f32)))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 #s(literal -2/315 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 8 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 4/45 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32)))) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (- (* -1/3 (* (pow u2 2) (pow (PI) 4))) (* -1 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 #s(literal 2/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* -2/45 (pow (PI) 6)))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 u2 u2) (+.f32 (.f32 (.f32 #s(literal -1/315 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 8 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)))
(* 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)))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 11/12 u1)
(*.f32 u1 #s(literal 11/12 binary32))
(* 11/12 u1)
(*.f32 u1 #s(literal 11/12 binary32))
(* 11/12 u1)
(*.f32 u1 #s(literal 11/12 binary32))
(* 11/12 u1)
(*.f32 u1 #s(literal 11/12 binary32))
(* 11/12 u1)
(*.f32 u1 #s(literal 11/12 binary32))
(* 11/12 u1)
(*.f32 u1 #s(literal 11/12 binary32))
(* 11/12 u1)
(*.f32 u1 #s(literal 11/12 binary32))
(* 11/12 u1)
(*.f32 u1 #s(literal 11/12 binary32))
(* 11/12 u1)
(*.f32 u1 #s(literal 11/12 binary32))
(* 11/12 u1)
(*.f32 u1 #s(literal 11/12 binary32))
(* 11/12 u1)
(*.f32 u1 #s(literal 11/12 binary32))
(* 11/12 u1)
(*.f32 u1 #s(literal 11/12 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))

eval291.0ms (1%)

Compiler: Compiled 34279 to 3278 computations (90.4% saved)

prune523.0ms (1.8%)

Pruning

68 alts after pruning (59 fresh and 9 done)

	Pruned	Kept	Total
New	930	17	947
Fresh	4	42	46
Picked	2	3	5
Done	0	6	6
Total	936	68	1004

Accuracy

100.0%

Counts

1004 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.6%	(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
	62.3%	(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
	98.9%	(/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	70.2%	(/.f32 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) u1) (-.f32 (.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))))
	5.0%	(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
	70.3%	(+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
	60.9%	(+.f32 (sqrt.f32 u1) (.f32 (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/4 binary32)))
	90.2%	(.f32 (pow.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1/8 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.9%	(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	5.0%	(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
	89.7%	(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.8%	(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	90.4%	(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.2%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.4%	(.f32 (pow.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (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 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.2%	(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))
	62.1%	(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
	90.5%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.2%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.0%	(.f32 (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.2%	(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32))))) #s(literal 1/4 binary32)))
	90.9%	(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.6%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.1%	(.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))
	90.3%	(.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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
	90.6%	(.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) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	90.7%	(.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)))
	86.1%	(.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)))
	70.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
	90.7%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	15.5%	(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
	90.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))))))) #s(literal 1 binary32))
✓	48.0%	(.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))
	36.4%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1 binary32))
	40.8%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) #s(literal 1 binary32))
	42.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))) #s(literal 1 binary32))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.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))))
	43.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) #s(literal 2 binary32)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
✓	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.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)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) #s(literal -1 binary32)))) #s(literal 2 binary32)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) #s(literal 2 binary32)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) #s(literal 1 binary32)) #s(literal 2 binary32)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) (+.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))))))
	86.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (sin.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 #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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))))))
	86.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
	98.5%	(.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)))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 u2 (cbrt.f32 (PI.f32)))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
	53.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
✓	60.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	50.3%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	48.6%	(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	72.7%	(.f32 (sqrt.f32 u1) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))) #s(literal 1/4 binary32)))
	74.2%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.5%	(.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)))
	5.0%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
	4.6%	(.f32 #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))))
	73.0%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
	78.2%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	62.3%	(sqrt.f32 u1)
	5.0%	(neg.f32 (sqrt.f32 u1))
	61.4%	(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))

Compiler

Compiled 3778 to 1553 computations (58.9% saved)

regimes408.0ms (1.4%)

Counts

102 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 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 (.f32 u1 (+.f32 #s(literal 1 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))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #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) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (.f32 (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) #s(literal 1 binary32))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 u1) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.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 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(.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 (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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (sin.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 #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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (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 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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)))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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)))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #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)))))) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))))

Outputs

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

Calls

10 calls:

40.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
39.0ms	u1
38.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
38.0ms	cosTheta_i
37.0ms	(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)

regimes381.0ms (1.3%)

Counts

84 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 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 (.f32 u1 (+.f32 #s(literal 1 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))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #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) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (.f32 (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) #s(literal 1 binary32))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 u1) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.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 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) u1) (-.f32 (.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #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))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
(.f32 (pow.f32 (pow.f32 u1 #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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32))))) #s(literal 1/4 binary32)))
(.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 (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) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32))))))
(.f32 (pow.f32 (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #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 (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(.f32 (.f32 (pow.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1/8 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.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 (.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (exp.f32 (.f32 #s(literal 1/4 binary32) (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 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/4 binary32)) (pow.f32 u1 #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 (+.f32 (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(.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 (+.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 u1) #s(literal 1/6 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 1/2 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 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 u2 (cbrt.f32 (PI.f32)))))))
(.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 u2 (pow.f32 (PI.f32) #s(literal 2/3 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 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 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.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 (.f32 (PI.f32) (log.f32 (E.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 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.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)))))

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:

70.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
47.0ms	u2
36.0ms	cosTheta_i
31.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
30.0ms	u1

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes215.0ms (0.7%)

Counts

48 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 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 (.f32 u1 (+.f32 #s(literal 1 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))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #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) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (.f32 (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) #s(literal 1 binary32))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 u1) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.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 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) u1) (-.f32 (.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))))))) #s(literal 1 binary32))
(.f32 (pow.f32 (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32)))))) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))

Outputs

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

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

Calls

9 calls:

38.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
36.0ms	u2
19.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
19.0ms	u1
19.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
92.6%	1	`cosTheta_i`
96.5%	2	`u1`
97.3%	2	`u2`
96.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
96.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
96.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
96.5%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.3%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes58.0ms (0.2%)

Counts

41 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 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 (.f32 u1 (+.f32 #s(literal 1 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))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #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) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (.f32 (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) #s(literal 1 binary32))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 u1) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.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 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) u1) (-.f32 (.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/3 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))

Outputs

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

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

Calls

3 calls:

17.0ms	u2
17.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
15.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

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

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes54.0ms (0.2%)

Counts

36 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 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 (.f32 u1 (+.f32 #s(literal 1 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))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #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) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (.f32 (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) #s(literal 1 binary32))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 u1) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.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 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes457.0ms (1.5%)

Counts

35 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 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 (.f32 u1 (+.f32 #s(literal 1 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))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #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) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (.f32 (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) #s(literal 1 binary32))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 u1) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.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 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))

Outputs

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

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

Calls

9 calls:

303.0ms	u1
43.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
19.0ms	u2
16.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
15.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
86.2%	1	`cosTheta_i`
94.3%	2	`u1`
94.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.3%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
94.3%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.3%	2	`(-.f32 #s(literal 1 binary32) u1)`
95.7%	2	`u2`
95.7%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
95.7%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes142.0ms (0.5%)

Counts

31 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 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 (.f32 u1 (+.f32 #s(literal 1 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))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #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) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (.f32 (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) #s(literal 1 binary32))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 u1) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.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 (pow.f32 (.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 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

8 calls:

35.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
25.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
13.0ms	u1
13.0ms	(-.f32 #s(literal 1 binary32) u1)
13.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
91.4%	2	`u1`
91.4%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.4%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
91.4%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.4%	2	`(-.f32 #s(literal 1 binary32) u1)`
93.7%	2	`u2`
93.7%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
93.7%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes103.0ms (0.3%)

Counts

29 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 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 (.f32 u1 (+.f32 #s(literal 1 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))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #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) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (.f32 (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))) #s(literal 1 binary32))
(+.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))))
(.f32 (sqrt.f32 u1) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
(.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
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

8 calls:

14.0ms	u2
13.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
12.0ms	u1

Results

Accuracy	Segments	Branch
85.8%	2	`u1`
85.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
85.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
85.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
85.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
89.3%	2	`u2`
89.3%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
89.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes63.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Calls

7 calls:

10.0ms	u2
10.0ms	u1
8.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
8.0ms	cosTheta_i
8.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
78.2%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
78.2%	1	`(-.f32 #s(literal 1 binary32) u1)`
78.2%	1	`u1`
78.2%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
78.2%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
78.2%	1	`cosTheta_i`
78.2%	1	`u2`

Compiler

Compiled 42 to 35 computations (16.7% saved)

regimes31.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

17.0ms	cosTheta_i
6.0ms	u1
6.0ms	u2

Results

Accuracy	Segments	Branch
74.1%	1	`cosTheta_i`
74.1%	1	`u2`
74.1%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 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:

5.0ms	u2
5.0ms	cosTheta_i
5.0ms	u1

Results

Accuracy	Segments	Branch
73.0%	1	`cosTheta_i`
73.0%	1	`u1`
73.0%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	cosTheta_i
5.0ms	u2
5.0ms	u1

Results

Accuracy	Segments	Branch
70.1%	1	`cosTheta_i`
70.1%	1	`u2`
70.1%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))))

Outputs
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))

Calls

3 calls:

5.0ms	cosTheta_i
4.0ms	u1
4.0ms	u2

Results

Accuracy	Segments	Branch
62.3%	1	`cosTheta_i`
62.3%	1	`u2`
62.3%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0%)

Accuracy

Total -18.8b remaining (-155.8%)

Threshold costs -18.8b (-155.8%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 u1)

Calls

3 calls:

3.0ms	cosTheta_i
3.0ms	u2
3.0ms	u1

Results

Accuracy	Segments	Branch
62.3%	1	`cosTheta_i`
62.3%	1	`u1`
62.3%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.030238628387451172	0.03578686714172363

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04302886873483658	0.04789075627923012

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04302886873483658	0.04789075627923012

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.057802557945251465	0.0580134354531765

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0015969444066286087	0.0016266279853880405

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00549611309543252	0.005535513162612915

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

106×	`unsub-neg_binary32`
80×	`*-commutative_binary32`
60×	`neg-mul-1_binary32`
54×	`+-commutative_binary32`
46×	`distribute-neg-in_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	326
1	142	326
2	165	326
3	188	326
4	225	326
5	270	326
6	304	326
7	341	326
8	383	326

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) #s(literal -1 binary32)))) #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 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/268435456 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 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 3019899/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 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 3019899/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1946157/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/8589934592 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 1476395/268435456 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.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))))))))) #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 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (+.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) #s(literal -1 binary32)))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))))) (-.f32 (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))))) #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 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/268435456 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 9395241/268435456 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (.f32 u1 u1)) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3019899/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 u1 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3019899/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1946157/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1946157/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (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 13743895/8589934592 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 (PI.f32) #s(literal 2 binary32))) #s(literal 13743895/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (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 1476395/268435456 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1476395/268435456 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 u1)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.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))))))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (.f32 u1 (+.f32 #s(literal 1/3 binary32) (.f32 u1 #s(literal 1/4 binary32)))))))))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(sqrt.f32 u1)

soundness5.7s (19.1%)

Rules

8798×	`-lowering-.f32`
8798×	`-lowering-.f64`
6428×	`-lowering-.f32`
6428×	`-lowering-.f64`
5686×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	689	7342
1	2424	6410
0	9120	6410
0	642	5873
1	2153	5134
2	7609	5130
0	8670	5130
0	52	299
1	279	224
2	2253	173
0	9013	172
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	306	3514
1	982	2936
2	3477	2700
0	8030	2700
0	51	296
1	325	255
2	3127	215
0	8205	215
0	41	252
1	260	235
2	2480	170
0	8533	170
0	22	68
1	94	68
2	531	60
3	4574	60
0	8351	60

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

Compiler

Compiled 997 to 636 computations (36.2% saved)

preprocess230.0ms (0.8%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 1550 to 658 computations (57.5% saved)

Iter	Nodes	Cost
0	86	326
1	142	326
2	165	326
3	188	326
4	225	326
5	270	326
6	304	326
7	341	326
8	383	326

Iter	Nodes	Cost
0	86	326
1	142	326
2	165	326
3	188	326
4	225	326
5	270	326
6	304	326
7	341	326
8	383	326

analyze981.0ms (3.3%)

sample5.0s (17.1%)

preprocess216.0ms (0.7%)

explain291.0ms (1%)

eval1.0ms (0%)

prune3.0ms (0%)

simplify19.0ms (0.1%)

localize260.0ms (0.9%)

series127.0ms (0.4%)

rewrite657.0ms (2.2%)

simplify725.0ms (2.5%)

eval131.0ms (0.4%)

prune248.0ms (0.8%)

simplify401.0ms (1.4%)

localize645.0ms (2.2%)

series228.0ms (0.8%)

rewrite973.0ms (3.3%)

simplify999.0ms (3.4%)

eval581.0ms (2%)

prune631.0ms (2.1%)

simplify420.0ms (1.4%)

localize989.0ms (3.3%)

series222.0ms (0.8%)

rewrite937.0ms (3.2%)

simplify887.0ms (3%)

eval393.0ms (1.3%)

prune656.0ms (2.2%)

simplify516.0ms (1.7%)

localize860.0ms (2.9%)

series127.0ms (0.4%)

rewrite827.0ms (2.8%)

simplify849.0ms (2.9%)

eval291.0ms (1%)

prune523.0ms (1.8%)

regimes408.0ms (1.4%)

regimes381.0ms (1.3%)

regimes215.0ms (0.7%)

regimes58.0ms (0.2%)

regimes54.0ms (0.2%)

regimes457.0ms (1.5%)

regimes142.0ms (0.5%)

regimes103.0ms (0.3%)

regimes63.0ms (0.2%)

regimes31.0ms (0.1%)

regimes18.0ms (0.1%)

regimes18.0ms (0.1%)

regimes15.0ms (0.1%)

regimes11.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

simplify48.0ms (0.2%)

soundness5.7s (19.1%)

preprocess230.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	86	326
1	142	326
2	165	326
3	188	326
4	225	326
5	270	326
6	304	326
7	341	326
8	383	326