Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze422.0ms (4.5%)

Memory

-0.8MiB live, 388.4MiB allocated

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 35 to 25 computations (28.6% saved)

sample2.3s (24%)

Memory

42.3MiB live, 2 399.8MiB allocated

Samples

1.8s	8 256×	0	valid
0.0ms	2×	0	invalid

Precisions

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

const: 588.0ms (37.9% of total)

ival-<=: 260.0ms (16.7% of total)

ival-mult: 184.0ms (11.8% of total)

ival-div: 121.0ms (7.8% of total)

ival-cos: 121.0ms (7.8% of total)

ival-sqrt: 88.0ms (5.7% of total)

ival-sub: 80.0ms (5.2% of total)

ival->: 66.0ms (4.2% of total)

ival-and: 35.0ms (2.3% of total)

exact: 6.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain112.0ms (1.2%)

Memory

-14.4MiB live, 181.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f32 #s(literal 1 binary32) u1)`
-	-	`u2`
-	-	`#s(literal 1 binary32)`
-	-	`#s(literal 314159265359/50000000000 binary32)`
-	-	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
-	-	`u1`
-	-	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
-	-	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
-	-	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
-	-	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	1	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	1	0

Precision?

0.0

Recall?

0/0

Samples

47.0ms

512×

valid

Compiler

Compiled 123 to 48 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

const: 8.0ms (25.7% of total)

ival-mult: 6.0ms (19.3% of total)

ival-cos: 6.0ms (19.3% of total)

ival-div: 4.0ms (12.9% of total)

ival-sub: 3.0ms (9.6% of total)

ival-sqrt: 3.0ms (9.6% of total)

ival-true: 1.0ms (3.2% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess35.0ms (0.4%)

Memory

32.1MiB live, 70.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	361	102
5	611	102
6	775	102
7	871	102
8	910	102
9	930	102
10	934	102
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 11 to 11 computations (0% saved)

simplify11.0ms (0.1%)

Memory

-34.4MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	16	36
1	22	36
2	26	36
3	31	36
4	38	36
5	48	36
6	63	36
7	86	36
8	108	36
9	116	36
10	118	36
0	118	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize36.0ms (0.4%)

Memory

27.9MiB live, 65.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.140625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.16796875	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.328125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

28.0ms

256×

valid

Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sub: 6.0ms (29.3% of total)

const: 4.0ms (19.5% of total)

ival-mult: 3.0ms (14.6% of total)

ival-cos: 3.0ms (14.6% of total)

ival-div: 2.0ms (9.8% of total)

ival-sqrt: 2.0ms (9.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

-22.1MiB live, 16.2MiB allocated

Counts

5 → 72

Calls

Call 1

Inputs
#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())

Outputs
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 u1)))) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) (taylor inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) (taylor inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) (taylor inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt -1 (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor -inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) (taylor -inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) (taylor -inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) (taylor -inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt -1 (taylor -inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor -inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor -inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) (taylor -inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor -inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u1 (- 1 (/ 1 u1)))) (taylor -inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u1 (- 1 (/ 1 u1)))) (taylor -inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u1 (- 1 (/ 1 u1)))) (taylor -inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (sqrt (/ u1 (- 1 u1))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	u2	@	inf	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
2.0ms	u1	@	inf	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms	u2	@	0	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms	u1	@	0	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms	u2	@	-inf	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))

simplify180.0ms (1.9%)

Memory

25.6MiB live, 218.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	906
1	523	815
2	1543	747
3	4794	699
0	8083	673

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

Inputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)

Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
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u1
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#s(literal -1 binary32)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

rewrite179.0ms (1.9%)

Memory

1.2MiB live, 207.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	16	28
1	46	28
2	237	28
3	1953	28
0	9692	28

Stop Event

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

Counts

5 → 520

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Outputs
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eval67.0ms (0.7%)

Memory: 12.7MiB live, 125.0MiB allocated
Compiler: Compiled 14 547 to 2 542 computations (82.5% saved)

prune29.0ms (0.3%)

Memory

-4.5MiB live, 78.7MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	571	20	591
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	571	21	592

Accuracy

99.8%

Counts

592 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.6%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
▶	99.1%	(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.1%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	99.0%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	67.5%	(.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	99.0%	(.f32 (sqrt.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	58.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	98.6%	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	74.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
▶	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 609 to 525 computations (13.8% saved)

simplify116.0ms (1.2%)

Memory

-12.4MiB live, 180.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
cost-diff	0	(.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	608	(+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
cost-diff	0	(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
cost-diff	0	(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	352	(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
cost-diff	0	(fma.f32 u1 u1 u1)
cost-diff	0	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
cost-diff	0	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
cost-diff	0	(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
cost-diff	0	(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	160	(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	276
0	60	257
1	89	253
2	113	253
3	186	252
4	311	246
5	824	246
6	3079	246
7	6753	246
0	8081	246

Stop Event

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

Calls

Call 1

Inputs
(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
#s(literal -1/4 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
#s(literal -1 binary32)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

Outputs
(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/4 binary32)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/4 binary32))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
#s(literal -1/4 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
#s(literal -1 binary32)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize109.0ms (1.2%)

Memory

18.1MiB live, 209.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1796875	(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
accuracy	0.1796875	(.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.328125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	4.132303112929901	(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy	0.11328125	(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
accuracy	0.16796875	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.26953125	(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
accuracy	0.328125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.16796875	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.328125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	4.3551171293528474	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy	8.736366686937398	(fma.f32 u1 u1 u1)
accuracy	0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.11328125	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.140625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	6.333371744118203	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.109375	(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
accuracy	0.16796875	(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.328125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.5709762695368841	(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))

Samples

77.0ms

256×

valid

Compiler

Compiled 516 to 62 computations (88% saved)

Precisions

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

ival-mult: 13.0ms (28.1% of total)

ival-div: 8.0ms (17.3% of total)

const: 6.0ms (13% of total)

ival-sqrt: 5.0ms (10.8% of total)

ival-pow: 5.0ms (10.8% of total)

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

ival-sub: 3.0ms (6.5% of total)

ival-cos: 3.0ms (6.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series331.0ms (3.5%)

Memory

-2.2MiB live, 649.2MiB allocated

Counts

21 → 312

Calls

Call 1

Inputs
#s(alt (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())
#s(alt (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (patch (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (patch (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #<representation binary32>) () ())
#s(alt #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) (patch #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #<representation binary32>) () ())
#s(alt (fma.f32 u1 u1 u1) (patch (fma.f32 u1 u1 u1) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (patch (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (patch (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (patch (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())
#s(alt (fma.f32 u1 u1 #s(literal 1 binary32)) (patch (fma.f32 u1 u1 #s(literal 1 binary32)) #<representation binary32>) () ())

Outputs
#s(alt (/ 1 (pow u1 2)) (taylor 0 u1) (#s(alt (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* -2 u1)) (pow u1 2)) (taylor 0 u1) (#s(alt (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* u1 (- u1 2))) (pow u1 2)) (taylor 0 u1) (#s(alt (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* u1 (- u1 2))) (pow u1 2)) (taylor 0 u1) (#s(alt (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor 0 u1) (#s(alt (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (pow u1 3)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (taylor 0 u1) (#s(alt (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))) (taylor 0 u1) (#s(alt (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))))) (taylor 0 u1) (#s(alt (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (sqrt -1)) (taylor 0 u1) (#s(alt (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (patch (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1))) (taylor 0 u1) (#s(alt (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (patch (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1))))))) (taylor 0 u1) (#s(alt (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (patch (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1))))))))) (taylor 0 u1) (#s(alt (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (patch (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ -1 u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())) ())
#s(alt (/ (- u1 1) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())) ())
#s(alt (/ (- u1 1) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())) ())
#s(alt (/ (- u1 1) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
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#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
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#s(alt (* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
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#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
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#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
84.0ms	u1	@	0	((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (/ u1 (+ (* u1 u1) 1)) (* 314159265359/50000000000 u2) (+ (* u1 u1) 1))
74.0ms	u2	@	inf	((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (/ u1 (+ (* u1 u1) 1)) (* 314159265359/50000000000 u2) (+ (* u1 u1) 1))
55.0ms	u2	@	0	((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (/ u1 (+ (* u1 u1) 1)) (* 314159265359/50000000000 u2) (+ (* u1 u1) 1))
45.0ms	u2	@	-inf	((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (/ u1 (+ (* u1 u1) 1)) (* 314159265359/50000000000 u2) (+ (* u1 u1) 1))
31.0ms	u1	@	-inf	((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (/ u1 (+ (* u1 u1) 1)) (* 314159265359/50000000000 u2) (+ (* u1 u1) 1))

simplify237.0ms (2.5%)

Memory

-12.4MiB live, 336.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	512	4536
1	1549	4172
2	4675	3724
0	8187	3542

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 306

Calls

Call 1

Inputs
(/ 1 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(/ -1 u1)
(/ (- u1 1) u1)
(/ (- u1 1) u1)
(/ (- u1 1) u1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (- (* -1 u1) 1))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 (* -1 (pow u1 2))))
(* u1 (+ 1 (* (pow u1 2) (- (pow u1 2) 1))))
(* u1 (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1))))
1
(+ 1 (pow u1 2))
(+ 1 (pow u1 2))
(+ 1 (pow u1 2))
1
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(cos (* 314159265359/50000000000 u2))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))))
1
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (+ (/ 3/8 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))))
1
(- 1 (/ 1 u1))
(- 1 (/ 1 u1))
(- 1 (/ 1 u1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
1
(+ 1 (/ 1 u1))
(- (+ 1 (/ 1 u1)) (/ 1 (pow u1 2)))
(+ 1 (+ (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (/ 1 u1)))
(cos (* 314159265359/50000000000 u2))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -3/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))))
1
(+ 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (* 1/2 (/ 1 u1))) (/ 5/8 (pow u1 2)))
(+ 1 (+ (* -1 (/ (+ 5/8 (* 3/16 (/ 1 u1))) (pow u1 2))) (* 1/2 (/ 1 u1))))
(/ 1 u1)
(/ (- 1 (/ 1 (pow u1 2))) u1)
(/ (- (+ 1 (/ 1 (pow u1 4))) (/ 1 (pow u1 2))) u1)
(/ (- (+ 1 (/ 1 (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6)))) u1)
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
1
(- 1 (* 2 (/ 1 u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(cos (* 314159265359/50000000000 u2))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (cos (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)))
1
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
1
(- 1 (/ 1 u1))
(- 1 (/ 1 u1))
(- 1 (/ 1 u1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
1
(+ 1 (/ 1 u1))
(+ 1 (* -1 (/ (- (/ 1 u1) 1) u1)))
(+ 1 (* -1 (/ (- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1) u1)))
(cos (* 314159265359/50000000000 u2))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 5/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (cos (* 314159265359/50000000000 u2))) (* -3/16 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)))
1
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (* -1 (/ (- (* 5/8 (/ 1 u1)) 1/2) u1)))
(+ 1 (* -1 (/ (- (+ (/ 3/16 (pow u1 2)) (* 5/8 (/ 1 u1))) 1/2) u1)))
(/ 1 u1)
(* -1 (/ (- (/ 1 (pow u1 2)) 1) u1))
(* -1 (/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) u1))
(* -1 (/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(sqrt (/ u1 (- u1 1)))
(+ (sqrt (/ u1 (- u1 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))))
(+ (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* (sqrt (/ u1 (- u1 1))) (sqrt -1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))))))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))))))))
(sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))
(+ (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))))
(+ (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))))))
(+ (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2)))))))))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)

Outputs
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u1 #s(literal 1 binary32)) u1) u1)
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/.f32 (/.f32 (fma.f32 (-.f32 u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32)) u1) u1)
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/.f32 (/.f32 (fma.f32 (-.f32 u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32)) u1) u1)
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(fma.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 u1)) (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(fma.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal -1 binary32)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 #s(literal -1 binary32))) u1 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1/2 binary32)))) (.f32 u1 u1)))
(* (sqrt u1) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(fma.f32 (/.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 u1 u1)) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/2 binary32)) (sqrt.f32 u1)) (sqrt.f32 #s(literal -1 binary32))) u1 (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1/2 binary32)))) (.f32 u1 u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 u1 u1)) (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
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(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ u1 (+ 1 (pow u1 2))) (/ (pow u1 2) (+ 1 (pow u1 2))))))
(.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

rewrite179.0ms (1.9%)

Memory

25.2MiB live, 342.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	213
0	60	182
1	186	173
2	1289	171
0	8547	171

Stop Event

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

Counts

21 → 791

Calls

Call 1

Inputs
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(fma.f32 u1 u1 #s(literal 1 binary32))

Outputs
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eval221.0ms (2.3%)

Memory: 2.6MiB live, 380.4MiB allocated
Compiler: Compiled 31 002 to 4 582 computations (85.2% saved)

prune82.0ms (0.9%)

Memory

24.5MiB live, 227.0MiB allocated

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	1 405	26	1 431
Fresh	5	10	15
Picked	3	2	5
Done	0	1	1
Total	1 413	39	1 452

Accuracy

99.9%

Counts

1 452 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.8%	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.6%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
▶	99.0%	(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.6%	(.f32 (pow.f32 #s(approx ( (/ (- u1 1) u1) (/ (- u1 1) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.3%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	48.0%	(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.9%	(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal -1 binary32)) (neg.f32 u1)) (-.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	58.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	74.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	20.1%	#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	79.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
▶	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
✓	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	79.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	79.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
	79.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
▶	64.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	-0.0%	#s(approx (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))
	72.0%	#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
	72.1%	#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
	72.4%	#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))

Compiler

Compiled 1 119 to 923 computations (17.5% saved)

simplify174.0ms (1.8%)

Memory

3.0MiB live, 236.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff	0	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	416	(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
cost-diff	0	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
cost-diff	0	(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
cost-diff	64	(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	224	(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
cost-diff	0	(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
cost-diff	0	(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	43	234
0	65	234
1	104	229
2	179	225
3	351	225
4	611	223
5	1146	223
6	3260	205
7	7907	205
0	8396	205

Stop Event

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

Calls

Call 1

Inputs
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1/2 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(literal 1 binary32)
(neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(-.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

Outputs
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1/2 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(literal 1 binary32)
(neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(-.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize146.0ms (1.5%)

Memory

-18.7MiB live, 309.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
accuracy	0.16796875	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.2890625	(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
accuracy	0.328125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.09117128907376808	(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.328125	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	25.58075842532564	#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.13671875	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1640625	(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.3671875	(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	6.333371744118203	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
accuracy	0	(sqrt.f32 u1)
accuracy	6.333371744118203	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
accuracy	8.081305312644806	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.109375	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy	0.1328125	(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
accuracy	0.16796875	(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.328125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

85.0ms

256×

valid

Compiler

Compiled 388 to 71 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 17.0ms (27.1% of total)

ival-pow: 10.0ms (15.9% of total)

ival-div: 9.0ms (14.3% of total)

ival-cos: 8.0ms (12.7% of total)

ival-sqrt: 8.0ms (12.7% of total)

ival-sub: 5.0ms (8% of total)

const: 4.0ms (6.4% of total)

ival-neg: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series114.0ms (1.2%)

Memory

1.7MiB live, 309.4MiB allocated

Counts

20 → 300

Calls

Call 1

Inputs
#s(alt (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (patch (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (patch (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (patch #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (patch (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))) (patch #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))) #<representation binary32>) () ())
#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt #s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch #s(approx ( (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())
#s(alt (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (patch (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())
#s(alt (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (patch (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))) (patch (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (patch (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())
#s(alt (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())

Outputs
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (patch (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (patch (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) (taylor 0 u1) (#s(alt (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (patch (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) (taylor 0 u1) (#s(alt (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (patch (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1 u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (patch (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* -1 u1)) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (patch (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* -1 u1)) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (patch (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* -1 u1)) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (patch (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (patch #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (patch #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
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#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
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#s(alt (cos (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (patch (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	u1	@	inf	((* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (pow (/ (- 1 u1) u1) -1/2) (/ (- 1 u1) u1) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (/ u1 (- 1 (* u1 u1))) (* 314159265359/50000000000 u2) (sqrt (- 1 u1)))
19.0ms	u1	@	-inf	((* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (pow (/ (- 1 u1) u1) -1/2) (/ (- 1 u1) u1) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (/ u1 (- 1 (* u1 u1))) (* 314159265359/50000000000 u2) (sqrt (- 1 u1)))
17.0ms	u2	@	-inf	((* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (pow (/ (- 1 u1) u1) -1/2) (/ (- 1 u1) u1) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (/ u1 (- 1 (* u1 u1))) (* 314159265359/50000000000 u2) (sqrt (- 1 u1)))
16.0ms	u2	@	inf	((* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (pow (/ (- 1 u1) u1) -1/2) (/ (- 1 u1) u1) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (/ u1 (- 1 (* u1 u1))) (* 314159265359/50000000000 u2) (sqrt (- 1 u1)))
15.0ms	u1	@	0	((* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (pow (/ (- 1 u1) u1) -1/2) (/ (- 1 u1) u1) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (/ u1 (- 1 (* u1 u1))) (* 314159265359/50000000000 u2) (sqrt (- 1 u1)))

simplify513.0ms (5.4%)

Memory

-117.7MiB live, 421.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	447	4634
1	1284	4172
2	3838	3780
0	8099	3613

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 298

Calls

Call 1

Inputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
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(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(sqrt (/ u1 (- u1 1)))
(+ (sqrt (/ u1 (- u1 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))))
(+ (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))))))))
1
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)

Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 u1 u1)) (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 u1 u1)) (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))
-1
#s(literal -1 binary32)
(- (* -1/2 u1) 1)
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))
(- (* u1 (- (* -3/8 u1) 1/2)) 1)
(fma.f32 (fma.f32 #s(literal -3/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32))
(- (* u1 (- (* u1 (- (* -5/16 u1) 3/8)) 1/2)) 1)
(fma.f32 (fma.f32 (fma.f32 #s(literal -5/16 binary32) u1 #s(literal -3/8 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 u1 u1)) (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
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(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(cos (* 314159265359/50000000000 u2))
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(cos (* 314159265359/50000000000 u2))
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(cos (* 314159265359/50000000000 u2))
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
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(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
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(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
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(cos (* 314159265359/50000000000 u2))
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(cos (* 314159265359/50000000000 u2))
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(cos (* 314159265359/50000000000 u2))
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(cos (* 314159265359/50000000000 u2))
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

rewrite128.0ms (1.4%)

Memory

4.4MiB live, 320.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	187
0	65	166
1	195	154
2	1251	147
0	10435	146

Stop Event

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

Counts

20 → 1 254

Calls

Call 1

Inputs
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
(neg.f32 (sqrt.f32 u1))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))

Outputs
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eval241.0ms (2.6%)

Memory: -5.6MiB live, 503.2MiB allocated
Compiler: Compiled 40 195 to 6 266 computations (84.4% saved)

prune130.0ms (1.4%)

Memory

-2.1MiB live, 272.3MiB allocated

Pruning

53 alts after pruning (47 fresh and 6 done)

	Pruned	Kept	Total
New	1 905	24	1 929
Fresh	8	23	31
Picked	2	3	5
Done	0	3	3
Total	1 915	53	1 968

Accuracy

99.9%

Counts

1 968 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
▶	98.8%	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.6%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	74.6%	(.f32 (pow.f32 (/.f32 #s(approx (- 1 u1) #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.8%	(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)))) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.6%	(.f32 (pow.f32 #s(approx ( (/ (- u1 1) u1) (/ (- u1 1) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.1%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.9%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 (/.f32 #s(literal -1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.9%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	58.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	74.6%	(.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	12.8%	#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
▶	19.1%	#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	5.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	79.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	79.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
▶	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
	79.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (/.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	79.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	72.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))))))))
	71.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
	62.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))))
✓	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	79.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
	5.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
✓	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	79.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
	79.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
	79.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
	64.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
	64.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))))
	5.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))))
	64.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
✓	64.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	5.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
	63.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))))
	72.0%	#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
	72.1%	#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
	72.4%	#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
	63.0%	#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
	64.3%	#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))

Compiler

Compiled 1 344 to 1 206 computations (10.3% saved)

simplify142.0ms (1.5%)

Memory

11.1MiB live, 185.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
cost-diff	0	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
cost-diff	0	(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
cost-diff	320	(fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
cost-diff	0	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
cost-diff	0	#s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32))
cost-diff	0	#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
cost-diff	64	(neg.f32 (/.f32 #s(literal 1 binary32) u1))
cost-diff	160	(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))
cost-diff	352	(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))))
cost-diff	1152	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	346
0	78	352
1	140	330
2	279	320
3	605	317
4	1487	315
5	3489	277
6	5562	267
7	7415	267
0	8016	264

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))))
#s(literal -1 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))
#s(literal 1 binary32)
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
u1
(-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
#s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(literal 1 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1

Outputs
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
#s(literal -1 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1))
#s(literal 1 binary32)
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (/.f32 #s(literal 1 binary32) u1) u1)
(neg.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal -1 binary32) u1)
(/.f32 #s(literal 1 binary32) u1)
u1
(-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
#s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(literal 1 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(fma.f32 (.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))
(.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))
(.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1

localize169.0ms (1.8%)

Memory

-13.8MiB live, 223.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.109375	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy	0.14453125	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
accuracy	0.29296875	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy	0.328125	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.36328125	(.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))
accuracy	2.7982774552810996	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
accuracy	4.003612312243615	(fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
accuracy	6.687669020549236	(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
accuracy	0.109375	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy	0.14453125	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
accuracy	0.2734375	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy	6.333371744118203	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
accuracy	6.499301331655426	#s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32))
accuracy	25.58075842532564	#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
accuracy	0.26953125	(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))))
accuracy	0.328125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.46875	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))
accuracy	0.47169877930532605	(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))

Samples

136.0ms

256×

valid

Compiler

Compiled 610 to 81 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-div: 34.0ms (28.7% of total)

ival-mult: 33.0ms (27.8% of total)

ival-cos: 21.0ms (17.7% of total)

const: 12.0ms (10.1% of total)

ival-sub: 5.0ms (4.2% of total)

ival-sqrt: 5.0ms (4.2% of total)

ival-pow: 4.0ms (3.4% of total)

ival-add: 2.0ms (1.7% of total)

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

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series176.0ms (1.9%)

Memory

12.2MiB live, 204.8MiB allocated

Counts

20 → 300

Calls

Call 1

Inputs
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))) (patch (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))) #<representation binary32>) () ())
#s(alt (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))) (patch (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (patch (neg.f32 (/.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt #s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32))) (patch #s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)) (patch #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (patch (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (patch (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (patch (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (patch (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))) (patch #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (patch (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #<representation binary32>) () ())
#s(alt (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (patch (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())
#s(alt (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (patch (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (patch (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (patch (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #<representation binary32>) () ())

Outputs
#s(alt (/ -1 u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (/ (- u1 1) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (/ (- u1 1) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (/ (- u1 1) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))) (patch (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))) (patch (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 u1)))) (taylor 0 u1) (#s(alt (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))) (patch (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) (taylor 0 u1) (#s(alt (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))) (patch (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (pow u1 2)) (taylor 0 u1) (#s(alt (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))) (patch (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (pow u1 2)) (taylor 0 u1) (#s(alt (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))) (patch (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (pow u1 2)) (taylor 0 u1) (#s(alt (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))) (patch (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (pow u1 2)) (taylor 0 u1) (#s(alt (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))) (patch (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (/ -1 u1) (taylor 0 u1) (#s(alt (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (patch (neg.f32 (/.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (/ -1 u1) (taylor 0 u1) (#s(alt (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (patch (neg.f32 (/.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (/ -1 u1) (taylor 0 u1) (#s(alt (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (patch (neg.f32 (/.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (/ -1 u1) (taylor 0 u1) (#s(alt (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (patch (neg.f32 (/.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor 0 u1) (#s(alt #s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32))) (patch #s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (pow u1 3)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (taylor 0 u1) (#s(alt #s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32))) (patch #s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))) (taylor 0 u1) (#s(alt #s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32))) (patch #s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))) (patch #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))) (patch #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (patch (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (patch (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (patch (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (patch (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (patch (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (patch (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (patch (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (patch (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (patch (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (patch (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (patch (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (patch (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (taylor -inf u2) (#s(alt (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (patch (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (taylor -inf u2) (#s(alt (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (patch (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (taylor -inf u2) (#s(alt (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (patch (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (taylor -inf u2) (#s(alt (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (patch (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) (taylor -inf u2) (#s(alt (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (patch (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) (taylor -inf u2) (#s(alt (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (patch (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) (taylor -inf u2) (#s(alt (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (patch (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) (taylor -inf u2) (#s(alt (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (patch (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
83.0ms	u2	@	-inf	((/ (- 1 (* (neg (/ 1 u1)) (neg (/ 1 u1)))) (- 1 (neg (/ 1 u1)))) (/ -1 (/ (- 1 (* (neg (/ 1 u1)) (neg (/ 1 u1)))) (- 1 (neg (/ 1 u1))))) (* (neg (/ 1 u1)) (neg (/ 1 u1))) (neg (/ 1 u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (sqrt (/ (- 1 u1) u1)) (/ (- 1 u1) u1) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* u2 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* u2 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1))) (sqrt (/ u1 (- 1 u1))) (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (cos (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (* 314159265359/50000000000 u2) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)))
17.0ms	u1	@	0	((/ (- 1 (* (neg (/ 1 u1)) (neg (/ 1 u1)))) (- 1 (neg (/ 1 u1)))) (/ -1 (/ (- 1 (* (neg (/ 1 u1)) (neg (/ 1 u1)))) (- 1 (neg (/ 1 u1))))) (* (neg (/ 1 u1)) (neg (/ 1 u1))) (neg (/ 1 u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (sqrt (/ (- 1 u1) u1)) (/ (- 1 u1) u1) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* u2 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* u2 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1))) (sqrt (/ u1 (- 1 u1))) (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (cos (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (* 314159265359/50000000000 u2) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)))
16.0ms	u1	@	inf	((/ (- 1 (* (neg (/ 1 u1)) (neg (/ 1 u1)))) (- 1 (neg (/ 1 u1)))) (/ -1 (/ (- 1 (* (neg (/ 1 u1)) (neg (/ 1 u1)))) (- 1 (neg (/ 1 u1))))) (* (neg (/ 1 u1)) (neg (/ 1 u1))) (neg (/ 1 u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (sqrt (/ (- 1 u1) u1)) (/ (- 1 u1) u1) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* u2 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* u2 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1))) (sqrt (/ u1 (- 1 u1))) (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (cos (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (* 314159265359/50000000000 u2) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)))
16.0ms	u2	@	0	((/ (- 1 (* (neg (/ 1 u1)) (neg (/ 1 u1)))) (- 1 (neg (/ 1 u1)))) (/ -1 (/ (- 1 (* (neg (/ 1 u1)) (neg (/ 1 u1)))) (- 1 (neg (/ 1 u1))))) (* (neg (/ 1 u1)) (neg (/ 1 u1))) (neg (/ 1 u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (sqrt (/ (- 1 u1) u1)) (/ (- 1 u1) u1) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* u2 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* u2 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1))) (sqrt (/ u1 (- 1 u1))) (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (cos (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (* 314159265359/50000000000 u2) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)))
16.0ms	u2	@	inf	((/ (- 1 (* (neg (/ 1 u1)) (neg (/ 1 u1)))) (- 1 (neg (/ 1 u1)))) (/ -1 (/ (- 1 (* (neg (/ 1 u1)) (neg (/ 1 u1)))) (- 1 (neg (/ 1 u1))))) (* (neg (/ 1 u1)) (neg (/ 1 u1))) (neg (/ 1 u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (sqrt (/ (- 1 u1) u1)) (/ (- 1 u1) u1) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* u2 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* u2 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1))) (sqrt (/ u1 (- 1 u1))) (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (cos (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (* 314159265359/50000000000 u2) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)))

simplify219.0ms (2.3%)

Memory

-5.4MiB live, 313.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	425	4431
1	1258	4081
2	4022	3673
0	8672	3499

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 299

Calls

Call 1

Inputs
(/ -1 u1)
(/ (- u1 1) u1)
(/ (- u1 1) u1)
(/ (- u1 1) u1)
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ -1 u1)
(/ -1 u1)
(/ -1 u1)
(/ -1 u1)
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 u1)) u1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) (* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))
(+ (* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))))))
(+ (* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
1
(- 1 (/ 1 u1))
(- 1 (/ 1 u1))
(- 1 (/ 1 u1))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ -1 u1)
(/ -1 u1)
(/ -1 u1)
(/ -1 u1)
(cos (* 314159265359/50000000000 u2))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
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(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
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-1
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
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(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))
(+ (* -1/2 (/ (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
1
(- 1 (/ 1 u1))
(- 1 (/ 1 u1))
(- 1 (/ 1 u1))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ -1 u1)
(/ -1 u1)
(/ -1 u1)
(/ -1 u1)
(cos (* 314159265359/50000000000 u2))
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(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(/ 1 (sqrt -1))
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(sqrt -1)
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-1
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(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))
(+ (* 1/2 (/ (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) u1)) (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) (* -3/8 (/ (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) u1))) u1)) (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) u1)) (* 3/8 (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))) u1)) (* -1/2 (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))) u1)) (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(sqrt (/ u1 (- u1 1)))
(+ (sqrt (/ u1 (- u1 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))))
(+ (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))))))))
1
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
1
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
1
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
1
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4))))))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4))))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4))))))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4))))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))

Outputs
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 (.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(fma.f32 (.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 u1 u1) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
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(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 4 binary32))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) (pow.f32 u2 #s(literal 4 binary32)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))

rewrite188.0ms (2%)

Memory

20.0MiB live, 370.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	230
0	70	213
1	257	176
2	1964	176
0	8904	173

Stop Event

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

Counts

20 → 990

Calls

Call 1

Inputs
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))))
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) u1))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
#s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))

Outputs
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eval171.0ms (1.8%)

Memory: -25.3MiB live, 395.9MiB allocated
Compiler: Compiled 37 997 to 5 427 computations (85.7% saved)

prune86.0ms (0.9%)

Memory

5.1MiB live, 205.4MiB allocated

Pruning

65 alts after pruning (58 fresh and 7 done)

	Pruned	Kept	Total
New	1 590	21	1 611
Fresh	5	37	42
Picked	4	1	5
Done	0	6	6
Total	1 599	65	1 664

Accuracy

99.9%

Counts

1 664 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.6%	(/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) (sqrt.f32 (*.f32 u1 u1))))
	98.7%	(/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 (.f32 u1 u1)) (*.f32 u1 u1))))
	98.8%	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
	74.6%	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
	98.7%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	98.6%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	74.6%	(.f32 (pow.f32 (/.f32 #s(approx (- 1 u1) #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.8%	(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)))) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.5%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.9%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 (/.f32 #s(literal -1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.5%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) (pow.f32 u1 #s(literal -2 binary32))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.9%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	58.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	74.6%	(.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	12.9%	#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
✓	19.1%	#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	64.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 u1)))))
	79.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1) (/.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) u1) u1)))))
	79.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
	88.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	5.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	79.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	79.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))))
	88.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))))
	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(literal 1 binary32)))))
	88.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	79.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (/.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	72.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))))))))
	71.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
	62.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))))
✓	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	79.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
	5.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
✓	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	79.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
	79.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
	64.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
	64.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))))
	5.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))))
	64.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
✓	64.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	5.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
	63.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))))
	72.0%	#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
	72.1%	#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
	72.4%	#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
	64.3%	#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
	64.3%	#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))

Compiler

Compiled 2 302 to 1 167 computations (49.3% saved)

regimes244.0ms (2.6%)

Memory

-19.4MiB live, 296.0MiB allocated

Counts

92 → 1

Calls

Call 1

Inputs
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (/.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1) (/.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) u1) u1)))))
#s(approx (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 (/.f32 #s(literal -1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 u1 #s(literal -1 binary32)) (neg.f32 u1)) (-.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 (.f32 u1 u1)) (*.f32 u1 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) (sqrt.f32 (*.f32 u1 u1))))
(.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 #s(approx (- 1 u1) #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 #s(approx ( (/ (- u1 1) u1) (/ (- u1 1) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) (pow.f32 u1 #s(literal -2 binary32))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)))) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Calls

8 calls:

43.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
37.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
29.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
28.0ms	u1
26.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
99.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
99.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
99.1%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
99.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes133.0ms (1.4%)

Memory

24.6MiB live, 215.5MiB allocated

Counts

56 → 2

Calls

Call 1

Inputs
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (/.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1) (/.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) u1) u1)))))
#s(approx (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))

Calls

8 calls:

20.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
17.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
17.0ms	cosTheta_i
16.0ms	u2
16.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
88.0%	1	`cosTheta_i`
95.9%	2	`u1`
96.7%	2	`u2`
96.2%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
95.9%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
95.9%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
96.7%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
96.7%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes52.0ms (0.6%)

Memory

2.0MiB live, 83.8MiB allocated

Counts

55 → 2

Calls

Call 1

Inputs
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (/.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1) (/.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) u1) u1)))))
#s(approx (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))

Calls

3 calls:

19.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
17.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
14.0ms	u2

Results

Accuracy	Segments	Branch
96.7%	2	`u2`
96.7%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
96.7%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 8 to 14 computations (-75% saved)

regimes148.0ms (1.6%)

Memory

9.4MiB live, 247.2MiB allocated

Counts

54 → 2

Calls

Call 1

Inputs
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (/.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1) (/.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) u1) u1)))))
#s(approx (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))

Calls

7 calls:

41.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
22.0ms	u2
21.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
18.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
16.0ms	u1

Results

Accuracy	Segments	Branch
91.5%	2	`u1`
91.5%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
91.5%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.0%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.1%	2	`u2`
94.1%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.1%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes106.0ms (1.1%)

Memory

-13.3MiB live, 191.6MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (/.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1) (/.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) u1) u1)))))
#s(approx (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))

Calls

7 calls:

18.0ms	u1
15.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
15.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
15.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
14.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
88.0%	1	`u1`
88.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
88.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
88.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
88.0%	1	`u2`
88.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
88.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes108.0ms (1.1%)

Memory

16.1MiB live, 207.9MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (/.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)))))))

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))

Calls

8 calls:

16.0ms	u1
14.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
13.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
13.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
88.0%	1	`cosTheta_i`
88.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
88.0%	1	`u1`
88.0%	1	`u2`
88.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
88.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
88.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
88.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes77.0ms (0.8%)

Memory

6.0MiB live, 126.9MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (+ (/ u1 (+ (* u1 u1) 1)) (* u1 (/ u1 (+ (* u1 u1) 1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))

Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Calls

8 calls:

18.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
9.0ms	u1
8.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
8.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
80.0%	1	`u2`
80.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
80.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
80.0%	1	`cosTheta_i`
80.0%	1	`u1`
80.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
80.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
80.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes24.0ms (0.3%)

Memory

-26.3MiB live, 49.6MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))

Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Calls

8 calls:

4.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
3.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
3.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
64.1%	1	`u1`
64.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
64.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
64.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
64.1%	1	`cosTheta_i`
64.1%	1	`u2`
64.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
64.1%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes11.0ms (0.1%)

Memory

30.4MiB live, 30.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))

Outputs
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))

Calls

8 calls:

1.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms	u2
1.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
19.1%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
19.1%	1	`u2`
19.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
19.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
19.1%	1	`u1`
19.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
19.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
19.1%	1	`cosTheta_i`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9970600605010986	0.9976076483726501

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory

-36.9MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9970600605010986	0.9976076483726501

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9879185557365417	0.988811731338501

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify27.0ms (0.3%)

Memory

18.8MiB live, 60.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	309
1	81	309
2	87	309
3	90	309
4	92	309

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16735273/16777216 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16735273/16777216 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16575889/16777216 binary32)) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16735273/16777216 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))))
(if (<=.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 16735273/16777216 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16735273/16777216 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))))
(if (<=.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 16735273/16777216 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16575889/16777216 binary32)) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 16575889/16777216 binary32)) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) #s(approx (cos (* u2 314159265359/50000000000)) #s(literal 1 binary32)))

soundness1.2s (12.3%)

Memory

16.9MiB live, 856.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	213
0	60	182
1	186	173
2	1289	171
0	8547	171
0	447	4634
1	1284	4172
2	3838	3780
0	8099	3613
0	10	28
0	16	28
1	46	28
2	237	28
3	1953	28
0	9692	28
0	180	906
1	523	815
2	1543	747
3	4794	699
0	8083	673
0	47	230
0	70	213
1	257	176
2	1964	176
0	8904	173
0	512	4536
1	1549	4172
2	4675	3724
0	8187	3542

Stop Event

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

Compiler

Compiled 358 to 189 computations (47.2% saved)

preprocess113.0ms (1.2%)

Memory

-26.4MiB live, 90.9MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 574 to 294 computations (48.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	361	102
5	611	102
6	775	102
7	871	102
8	910	102
9	930	102
10	934	102
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

Iter	Nodes	Cost
0	10	36
0	16	36
1	22	36
2	26	36
3	31	36
4	38	36
5	48	36
6	63	36
7	86	36
8	108	36
9	116	36
10	118	36
0	118	36

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	361	102
5	611	102
6	775	102
7	871	102
8	910	102
9	930	102
10	934	102
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

Iter	Nodes	Cost
0	10	36
0	16	36
1	22	36
2	26	36
3	31	36
4	38	36
5	48	36
6	63	36
7	86	36
8	108	36
9	116	36
10	118	36
0	118	36

start0.0ms (0%)

analyze422.0ms (4.5%)

sample2.3s (24%)

explain112.0ms (1.2%)

preprocess35.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize36.0ms (0.4%)

series13.0ms (0.1%)

simplify180.0ms (1.9%)

rewrite179.0ms (1.9%)

eval67.0ms (0.7%)

prune29.0ms (0.3%)

simplify116.0ms (1.2%)

localize109.0ms (1.2%)

series331.0ms (3.5%)

simplify237.0ms (2.5%)

rewrite179.0ms (1.9%)

eval221.0ms (2.3%)

prune82.0ms (0.9%)

simplify174.0ms (1.8%)

localize146.0ms (1.5%)

series114.0ms (1.2%)

simplify513.0ms (5.4%)

rewrite128.0ms (1.4%)

eval241.0ms (2.6%)

prune130.0ms (1.4%)

simplify142.0ms (1.5%)

localize169.0ms (1.8%)

series176.0ms (1.9%)

simplify219.0ms (2.3%)

rewrite188.0ms (2%)

eval171.0ms (1.8%)

prune86.0ms (0.9%)

regimes244.0ms (2.6%)

regimes133.0ms (1.4%)

regimes52.0ms (0.6%)

regimes148.0ms (1.6%)

regimes106.0ms (1.1%)

regimes108.0ms (1.1%)

regimes77.0ms (0.8%)

regimes24.0ms (0.3%)

regimes11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify27.0ms (0.3%)

soundness1.2s (12.3%)

preprocess113.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	361	102
5	611	102
6	775	102
7	871	102
8	910	102
9	930	102
10	934	102
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

Iter	Nodes	Cost
0	10	36
0	16	36
1	22	36
2	26	36
3	31	36
4	38	36
5	48	36
6	63	36
7	86	36
8	108	36
9	116	36
10	118	36
0	118	36