Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze259.0ms (3.1%)

Memory

10.2MiB live, 358.2MiB 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)

sample2.0s (23.4%)

Memory

78.4MiB live, 2 363.2MiB allocated

Samples

1.3s	8 256×	0	valid
1.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

const: 441.0ms (42.3% of total)

ival-<=: 161.0ms (15.5% of total)

ival-mult: 108.0ms (10.4% of total)

ival-cos: 94.0ms (9% of total)

ival-div: 63.0ms (6% of total)

ival-sqrt: 63.0ms (6% of total)

ival-sub: 44.0ms (4.2% of total)

ival-and: 34.0ms (3.3% of total)

ival->: 25.0ms (2.4% of total)

exact: 5.0ms (0.5% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain199.0ms (2.4%)

Memory

-4.4MiB live, 239.5MiB 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	1
-	0	255

Precision

0/0

Recall

0.0

Confusion?

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

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

70.0ms

512×

valid

Compiler

Compiled 123 to 48 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

const: 23.0ms (42% of total)

ival-mult: 16.0ms (29.2% of total)

ival-cos: 5.0ms (9.1% of total)

ival-div: 4.0ms (7.3% of total)

ival-sub: 3.0ms (5.5% of total)

ival-sqrt: 3.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess58.0ms (0.7%)

Memory

-3.8MiB live, 34.2MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(.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)

simplify5.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB 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

localize77.0ms (0.9%)

Memory

-8.8MiB live, 65.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.109375	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.12890625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.15625	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.35546875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

33.0ms

256×

valid

Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 13.0ms (52.4% of total)

ival-cos: 3.0ms (12.1% of total)

const: 3.0ms (12.1% of total)

ival-div: 2.0ms (8.1% of total)

ival-sqrt: 2.0ms (8.1% of total)

ival-sub: 1.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB 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
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))
1.0ms	u1	@	-inf	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))

simplify204.0ms (2.4%)

Memory

-19.5MiB live, 150.6MiB 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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(* (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))
(* (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))

rewrite158.0ms (1.9%)

Memory

-1.0MiB live, 241.4MiB 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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eval64.0ms (0.8%)

Memory: 10.1MiB live, 127.9MiB allocated
Compiler: Compiled 14 547 to 2 542 computations (82.5% saved)

prune75.0ms (0.9%)

Memory

-12.7MiB live, 65.4MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	567	24	591
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	567	25	592

Accuracy

99.8%

Counts

592 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.5%	(/.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))))))
▶	98.9%	(.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)))
	98.3%	(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.2%	(.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)))
	54.8%	(.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.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)))
▶	98.5%	(.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)))
▶	99.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.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)))
	71.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.1%	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.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)))
	71.0%	(.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)))
▶	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)))
	57.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	63.8%	(.f32 (exp.f32 (.f32 (-.f32 (log1p.f32 u1) (log.f32 u1)) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.4%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.1%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.3%	#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)))))
	79.7%	#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)))))
▶	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 765 to 651 computations (14.9% saved)

simplify143.0ms (1.7%)

Memory

20.9MiB live, 176.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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))
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	(.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)))
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	(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
cost-diff	0	(.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)))
cost-diff	224	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
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	64	(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))
cost-diff	96	(-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)))
cost-diff	256	(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff	448	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	328
0	72	354
1	128	321
2	290	253
3	879	253
4	2774	247
5	5732	247
0	8280	246

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)))
(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 0 binary32)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))
(-.f32 u1 #s(literal 1 binary32))
(neg.f32 u1)
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.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 (* (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 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal -1 binary32)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(neg.f32 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#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 (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)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(.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

Outputs
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.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 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 0 binary32)
#s(literal 0 binary32)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 u1 #s(literal 1 binary32))
(neg.f32 u1)
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 u1 (-.f32 #s(literal 2 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 (* (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 (.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal -1 binary32)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(neg.f32 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 (.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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.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)
(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 (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 (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)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 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

localize146.0ms (1.7%)

Memory

1.9MiB live, 197.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
accuracy	0.15625	(.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	0.35546875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.4795112793053261	(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
accuracy	0.15625	(.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)))
accuracy	0.18359375	(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.328125	(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	0.35546875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.140625	(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.15625	(.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)))
accuracy	0.27734375	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
accuracy	0.35546875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.109375	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.12890625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	6.400492924332999	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.15625	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.2578125	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.328125	(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.35546875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

110.0ms

256×

valid

Compiler

Compiled 640 to 78 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-sub: 30.0ms (38.9% of total)

ival-mult: 16.0ms (20.8% of total)

ival-div: 9.0ms (11.7% of total)

ival-sqrt: 8.0ms (10.4% of total)

const: 4.0ms (5.2% of total)

ival-pow: 4.0ms (5.2% of total)

ival-cos: 3.0ms (3.9% of total)

ival-neg: 3.0ms (3.9% of total)

exact: 1.0ms (1.3% of total)

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

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

series258.0ms (3.1%)

Memory

-1.5MiB live, 495.8MiB allocated

Counts

23 → 336

Calls

Call 1

Inputs
#s(alt (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (patch (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (patch (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (patch (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #<representation binary32>) () ())
#s(alt (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) (patch (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 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 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) (patch (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #<representation binary32>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (patch (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) 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 (.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))) (patch (.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))) #<representation binary32>) () ())
#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())
#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 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())
#s(alt (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (patch (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
70.0ms	u1	@	0	((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (/ (- 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) (* 314159265359/50000000000 u2) (* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))))
57.0ms	u2	@	inf	((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (/ (- 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) (* 314159265359/50000000000 u2) (* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))))
31.0ms	u1	@	-inf	((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (/ (- 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) (* 314159265359/50000000000 u2) (* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))))
30.0ms	u1	@	inf	((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (/ (- 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) (* 314159265359/50000000000 u2) (* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))))
29.0ms	u2	@	-inf	((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (/ (- 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) (* 314159265359/50000000000 u2) (* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))))

simplify191.0ms (2.3%)

Memory

2.2MiB live, 351.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	4544
1	1137	4133
2	3288	3770
3	7521	3768
0	8208	3623

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 332

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
0
0
0
0
(* -1 u1)
(* u1 (- u1 1))
(* u1 (- u1 1))
(* u1 (- u1 1))
u1
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* -1 u1)))
(* 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))))))
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* 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))))))))))
-1
(- (* -1 u1) 1)
(- (* u1 (- (* -1 u1) 1)) 1)
(- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1)
(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))))))))))
-1
(- (* -1/2 u1) 1)
(- (* u1 (- (* -3/8 u1) 1/2)) 1)
(- (* u1 (- (* u1 (- (* -5/16 u1) 3/8)) 1/2)) 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)))))))))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(/ 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)
-1
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -1 u1))) 1)
(- (* u1 (+ 2 (* -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)))))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
0
0
0
0
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 u1)))
(* (pow u1 2) (- 1 (/ 1 u1)))
(* (pow u1 2) (- 1 (/ 1 u1)))
(* -1 (pow u1 2))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 1 u1) 1))
(* (pow u1 2) (- (/ 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)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
-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)) (* 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 u1)
(/ (+ 1 (/ 1 u1)) u1)
(/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)
(/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1)
(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 (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (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)))) (+ (* -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 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
1
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1
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1
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(* (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)))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
0
0
0
0
(pow u1 2)
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(+ (* -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)))
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(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
-1
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-1
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(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
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(+ (* -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)
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(+ (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 u1)
(/ (+ 1 (/ 1 u1)) u1)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) u1))
(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 (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))))
(+ (* -1 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -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 u1) (pow (sqrt -1) 2))
(* (sqrt u1) (pow (sqrt -1) 2))
(* (sqrt u1) (pow (sqrt -1) 2))
(* (sqrt u1) (pow (sqrt -1) 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))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 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 (/ 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)))))))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(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))) (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)))
(* 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 (- 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)))
(* 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)))

Outputs
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)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
(* -1 u1)
(neg.f32 u1)
(* u1 (- u1 1))
(fma.f32 u1 u1 (neg.f32 u1))
(* u1 (- u1 1))
(fma.f32 u1 u1 (neg.f32 u1))
(* u1 (- u1 1))
(fma.f32 u1 u1 (neg.f32 u1))
u1
(* u1 (+ 1 (* -1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* -1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* -1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) 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))
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(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (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)))))))))
(fma.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(sqrt (/ u1 (- u1 1)))
(sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(+ (sqrt (/ u1 (- u1 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(+ (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(+ (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)))))))))
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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)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (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)))))))))
(fma.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 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 (- 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)))
(.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))))
(* 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))))
(* (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 (- 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)))
(.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))))
(* 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))))

rewrite63.0ms (0.7%)

Memory

6.5MiB live, 84.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	231
0	72	190
1	221	165
0	1452	165

Stop Event

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

Counts

23 → 424

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))
(-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 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 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 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)))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(/.f32 #s(literal -1 binary32) (-.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 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.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)))
(neg.f32 (sqrt.f32 u1))
(*.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)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs
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eval164.0ms (2%)

Memory: -6.7MiB live, 193.2MiB allocated
Compiler: Compiled 19 177 to 2 540 computations (86.8% saved)

prune54.0ms (0.6%)

Memory

11.4MiB live, 135.2MiB allocated

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	957	21	978
Fresh	8	11	19
Picked	4	1	5
Done	0	1	1
Total	969	34	1 003

Accuracy

99.8%

Counts

1 003 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
▶	99.2%	(.f32 (pow.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 u1) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.8%	(.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)))
	98.6%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	98.1%	(.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.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)))
	98.4%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #s(approx ( (- u1 1) (- 1 u1)) (.f32 (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	71.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	71.1%	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.0%	(.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)))
	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)))
	84.3%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	57.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.4%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.1%	(.f32 #s(approx ( (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	20.3%	#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	79.3%	#s(approx (* (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #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 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	79.3%	#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))))
▶	79.3%	#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)))))
	79.7%	#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 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))))
	69.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))))
✓	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	79.6%	#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))))
	79.5%	#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)))))
	79.6%	#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)))
	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
▶	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 912 to 803 computations (12% saved)

simplify172.0ms (2%)

Memory

8.5MiB live, 238.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	64	(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
cost-diff	544	(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
cost-diff	0	(+.f32 u1 #s(literal 1 binary32))
cost-diff	0	(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(*.f32 u2 u2)
cost-diff	0	(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
cost-diff	0	(.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))))
cost-diff	0	#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)))))
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 u1 #s(literal 1 binary32))
cost-diff	0	(pow.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 u1) u1)) #s(literal -1/4 binary32))
cost-diff	0	(.f32 (pow.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 u1) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	64	(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	281
0	69	257
1	105	257
2	200	254
3	453	254
4	1245	254
5	3708	248
0	8271	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)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 u1) 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)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 u1) u1)) #s(literal -1/4 binary32))
(/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 u1) u1))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
#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))) #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 (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 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(*.f32 u2 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)
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
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
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
u1
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 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)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 u1) 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 (-.f32 (-.f32 u1 #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)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 u1) u1)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 (-.f32 (-.f32 u1 #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/4 binary32))
(/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 u1) u1))
(/.f32 (-.f32 (-.f32 u1 #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) u1)) u1)
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (-.f32 #s(literal 2 binary32) u1) u1 #s(literal -1 binary32))
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
#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))) #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 (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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32))))
(.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))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(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))
(*.f32 u2 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)
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))
(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))
u1
(+.f32 u1 #s(literal 1 binary32))
(-.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
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))
(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))
u1
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
(-.f32 u1 #s(literal -1 binary32))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(fma.f32 u1 u1 #s(literal -1 binary32))
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 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

localize140.0ms (1.7%)

Memory

-14.4MiB live, 263.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.19921875	(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
accuracy	0.29296875	(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
accuracy	0.35546875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.08984375	(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
accuracy	0.13671875	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.29296875	(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
accuracy	0.35546875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.12890625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.150722509768442	(.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))))
accuracy	3.481305311025055	#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)))))
accuracy	6.677440233198697	(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
accuracy	0	(sqrt.f32 u1)
accuracy	6.400492924332999	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
accuracy	8.541092095771218	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.15625	(.f32 (pow.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 u1) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.31869125976844204	(/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 u1) u1))
accuracy	0.328125	(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.35546875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

99.0ms

256×

valid

Compiler

Compiled 505 to 73 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 20.0ms (34.5% of total)

ival-div: 9.0ms (15.5% of total)

const: 8.0ms (13.8% of total)

ival-sqrt: 6.0ms (10.3% of total)

ival-sub: 4.0ms (6.9% of total)

ival-pow: 4.0ms (6.9% of total)

ival-cos: 3.0ms (5.2% of total)

ival-add: 2.0ms (3.4% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series140.0ms (1.7%)

Memory

0.6MiB live, 195.5MiB allocated

Counts

23 → 348

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	u2	@	inf	((* (- u1 1) (- 1 u1)) (* (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (/ (- (* u1 u1) 1) (- u1 1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (* 314159265359/50000000000 u2) (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) (/ u1 (- 1 u1)) (/ u1 (/ (- (* u1 u1) 1) (- u1 1))))
38.0ms	u2	@	-inf	((* (- u1 1) (- 1 u1)) (* (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (/ (- (* u1 u1) 1) (- u1 1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (* 314159265359/50000000000 u2) (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) (/ u1 (- 1 u1)) (/ u1 (/ (- (* u1 u1) 1) (- u1 1))))
29.0ms	u1	@	-inf	((* (- u1 1) (- 1 u1)) (* (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (/ (- (* u1 u1) 1) (- u1 1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (* 314159265359/50000000000 u2) (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) (/ u1 (- 1 u1)) (/ u1 (/ (- (* u1 u1) 1) (- u1 1))))
4.0ms	u1	@	inf	((* (- u1 1) (- 1 u1)) (* (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (/ (- (* u1 u1) 1) (- u1 1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (* 314159265359/50000000000 u2) (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) (/ u1 (- 1 u1)) (/ u1 (/ (- (* u1 u1) 1) (- u1 1))))
4.0ms	u2	@	0	((* (- u1 1) (- 1 u1)) (* (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (/ (- (* u1 u1) 1) (- u1 1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (* 314159265359/50000000000 u2) (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) (/ u1 (- 1 u1)) (/ u1 (/ (- (* u1 u1) 1) (- u1 1))))

simplify223.0ms (2.7%)

Memory

1.9MiB live, 267.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	537	4862
1	1656	4484
2	5190	4001
0	8098	3806

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 339

Calls

Call 1

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

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

rewrite101.0ms (1.2%)

Memory

1.9MiB live, 131.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	221
0	69	197
1	198	194
0	1350	193

Stop Event

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

Counts

23 → 396

Calls

Call 1

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

Outputs
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eval79.0ms (0.9%)

Memory: 7.4MiB live, 194.2MiB allocated
Compiler: Compiled 15 168 to 2 147 computations (85.8% saved)

prune53.0ms (0.6%)

Memory

-5.3MiB live, 154.8MiB allocated

Pruning

40 alts after pruning (36 fresh and 4 done)

	Pruned	Kept	Total
New	781	18	799
Fresh	9	18	27
Picked	3	2	5
Done	0	2	2
Total	793	40	833

Accuracy

99.8%

Counts

833 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(.f32 (pow.f32 (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1)) #s(literal -1/8 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1)) #s(literal -1/8 binary32)) (.f32 (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1)) #s(literal -1/8 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
▶	99.2%	(.f32 (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	90.2%	(.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)))
	98.6%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.5%	(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	98.5%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #s(approx ( (- u1 1) (- 1 u1)) (.f32 (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	54.9%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 (.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	54.6%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- ( u1 u1) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) u1) u1)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	70.9%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- ( u1 u1) 1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.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 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.3%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	70.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (/ (- ( u1 u1) 1) (- u1 1))) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.4%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.1%	(.f32 #s(approx (pow (/ ( (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	20.3%	#s(approx (* (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	59.9%	#s(approx (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- 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))))))
	79.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	79.3%	#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))))
	88.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
✓	79.3%	#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)))))
	61.2%	#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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))))
	79.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	88.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	88.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))))
	4.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
✓	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	79.6%	#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))))
▶	79.5%	#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)))))
	79.6%	#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)))
▶	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
✓	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	60.0%	#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 1 158 to 975 computations (15.8% saved)

simplify167.0ms (2%)

Memory

3.0MiB live, 244.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	328
0	76	328
1	135	324
2	252	310
3	538	304
4	1104	304
5	4161	304
0	8504	304

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (1.7%)

Memory

7.0MiB live, 315.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.17416000976844204	(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.18359375	(/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.3359375	(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy	0.35546875	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.08984375	(sqrt.f32 #s(approx (/ u1 (/ (- (* u1 u1) 1) (- u1 1))) (-.f32 u1 (*.f32 u1 u1))))
accuracy	0.13671875	(.f32 (sqrt.f32 #s(approx (/ u1 (/ (- ( u1 u1) 1) (- u1 1))) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.35546875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	5.198919613660457	#s(approx (/ u1 (/ (- (* u1 u1) 1) (- u1 1))) (-.f32 u1 (*.f32 u1 u1)))
accuracy	0.0546875	(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
accuracy	0.109375	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))))
accuracy	0.28515625	(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))
accuracy	6.400492924332999	#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)))))
accuracy	3.577098628869383	#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
accuracy	6.400492924332999	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
accuracy	9.136116044433056	(fma.f32 u1 u1 u1)
accuracy	9.192662158284069	(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
accuracy	0.15625	(.f32 (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.31869125976844204	(/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))
accuracy	0.328125	(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.35546875	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

Samples

92.0ms

256×

valid

Compiler

Compiled 529 to 81 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 19.0ms (25.5% of total)

ival-div: 16.0ms (21.5% of total)

ival-sqrt: 12.0ms (16.1% of total)

ival-sub: 7.0ms (9.4% of total)

const: 6.0ms (8.1% of total)

ival-cos: 5.0ms (6.7% of total)

ival-pow: 4.0ms (5.4% of total)

ival-add: 3.0ms (4% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series251.0ms (3%)

Memory

-6.7MiB live, 605.2MiB allocated

Counts

24 → 360

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
54.0ms	u2	@	0	((* (pow (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) -1/4) (cos (* u2 314159265359/50000000000))) (pow (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) -1/4) (* (- 1 u1) (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (* (/ u1 (- 1 (* u1 u1))) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ u1 1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (/ u1 (/ (- (* u1 u1) 1) (- u1 1))) (- u1 (* u1 u1)) (* (/ -1 (sqrt (- 1 u1))) (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* u2 314159265359/50000000000) (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) (+ (* u1 u1) u1) (* 314159265359/50000000000 u2) (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))))
51.0ms	u1	@	0	((* (pow (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) -1/4) (cos (* u2 314159265359/50000000000))) (pow (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) -1/4) (* (- 1 u1) (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (* (/ u1 (- 1 (* u1 u1))) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ u1 1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (/ u1 (/ (- (* u1 u1) 1) (- u1 1))) (- u1 (* u1 u1)) (* (/ -1 (sqrt (- 1 u1))) (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* u2 314159265359/50000000000) (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) (+ (* u1 u1) u1) (* 314159265359/50000000000 u2) (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))))
34.0ms	u1	@	inf	((* (pow (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) -1/4) (cos (* u2 314159265359/50000000000))) (pow (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) -1/4) (* (- 1 u1) (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (* (/ u1 (- 1 (* u1 u1))) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ u1 1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (/ u1 (/ (- (* u1 u1) 1) (- u1 1))) (- u1 (* u1 u1)) (* (/ -1 (sqrt (- 1 u1))) (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* u2 314159265359/50000000000) (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) (+ (* u1 u1) u1) (* 314159265359/50000000000 u2) (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))))
33.0ms	u2	@	inf	((* (pow (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) -1/4) (cos (* u2 314159265359/50000000000))) (pow (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) -1/4) (* (- 1 u1) (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (* (/ u1 (- 1 (* u1 u1))) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ u1 1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (/ u1 (/ (- (* u1 u1) 1) (- u1 1))) (- u1 (* u1 u1)) (* (/ -1 (sqrt (- 1 u1))) (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* u2 314159265359/50000000000) (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) (+ (* u1 u1) u1) (* 314159265359/50000000000 u2) (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))))
32.0ms	u2	@	-inf	((* (pow (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) -1/4) (cos (* u2 314159265359/50000000000))) (pow (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) -1/4) (* (- 1 u1) (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (* (/ u1 (- 1 (* u1 u1))) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ u1 1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (/ u1 (/ (- (* u1 u1) 1) (- u1 1))) (- u1 (* u1 u1)) (* (/ -1 (sqrt (- 1 u1))) (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* u2 314159265359/50000000000) (/ (* (- 1 u1) (- 1 u1)) (* u1 u1)) (+ (* u1 u1) u1) (* 314159265359/50000000000 u2) (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))))

simplify287.0ms (3.4%)

Memory

8.0MiB live, 364.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	506	5081
1	1481	4674
2	4324	4275
0	8285	4074

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 353

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))))))
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(+ (* -1 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1)))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -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)))))))
1
(- 1 (* 2 (/ 1 u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 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)))))))))
(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)) (- (pow u1 2) 1)))
(+ (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (pow u2 2))))
(+ (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 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)))))))))
(* 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 (sqrt u1))
(+ (* -1 (sqrt u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ (* -1 (sqrt u1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 98696044010906577398881/5000000000000000000000 (sqrt u1)))))
(+ (* -1 (sqrt u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)) (* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (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)))
(* (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)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 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)))
(* 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 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt 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 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 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)))
(* 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 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (cos (* 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
#s(literal 1 binary32)
(+ 1 (* -2 u1))
(fma.f32 #s(literal -2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- u1 2)))
(fma.f32 (-.f32 u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- u1 2)))
(fma.f32 (-.f32 u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32))
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))
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)
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))))
(fma.f32 (fma.f32 u1 u1 u1) u1 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)
(* (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))
u1
(* u1 (+ 1 (pow u1 2)))
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(+ (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (pow u2 2))))))
(fma.f32 (.f32 (sqrt.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))))
(+ (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 1)))))))))
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(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))))
(+ (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)))))))))
(fma.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 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))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(+ (* -1 (sqrt u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
(+ (* -1 (sqrt u1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 98696044010906577398881/5000000000000000000000 (sqrt u1)))))
(-.f32 (.f32 (.f32 (sqrt.f32 u1) (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2)) (sqrt.f32 u1))
(+ (* -1 (sqrt u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)) (* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))))
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 u1) (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 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 (- 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)) (- (pow u1 2) 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))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 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))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 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))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 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))))) (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))))
(* 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))
(* -1 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* -1 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* -1 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* -1 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (neg.f32 (sqrt.f32 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 (- 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)) (- (pow u1 2) 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))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 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))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 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))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ (* u1 (- u1 1)) (- (pow u1 2) 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))))) (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))))
(* 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))
(* -1 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* -1 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* -1 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* -1 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))

rewrite155.0ms (1.8%)

Memory

27.5MiB live, 256.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	272
0	76	246
1	260	224
2	1862	212
0	8343	212

Stop Event

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

Counts

24 → 863

Calls

Call 1

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

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eval453.0ms (5.4%)

Memory: -166.1MiB live, 362.6MiB allocated
Compiler: Compiled 30 973 to 4 785 computations (84.6% saved)

prune101.0ms (1.2%)

Memory

-24.6MiB live, 255.5MiB allocated

Pruning

51 alts after pruning (44 fresh and 7 done)

	Pruned	Kept	Total
New	1 408	18	1 426
Fresh	5	26	31
Picked	2	3	5
Done	0	4	4
Total	1 415	51	1 466

Accuracy

99.8%

Counts

1 466 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	70.6%	(.f32 (pow.f32 (pow.f32 #s(approx (/ u1 (/ (- ( u1 u1) 1) (- u1 1))) (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	91.7%	(.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)))
	98.6%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	98.5%	(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
✓	98.5%	(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	88.2%	(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx ( (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))) (-.f32 (.f32 (.f32 (sqrt.f32 u1) (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2)) (sqrt.f32 u1))))
	79.4%	(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx ( (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))))
	98.5%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #s(approx ( (- u1 1) (- 1 u1)) (.f32 (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	55.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 (.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	55.7%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- ( u1 u1) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) u1) u1)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	70.9%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- ( u1 u1) 1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.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 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.3%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	70.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (/ (- ( u1 u1) 1) (- u1 1))) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.4%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	69.6%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (/ u1 (/ (- (* u1 u1) 1) (- u1 1))) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.1%	(.f32 #s(approx (pow (/ ( (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	20.3%	#s(approx (* (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	59.9%	#s(approx (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- 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))))))
	79.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	79.3%	#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))))
	88.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
✓	79.3%	#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)))))
	61.2%	#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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))))
	79.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	88.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	88.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.3%	#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)))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))))
	4.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	61.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 (.f32 u1 u1) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))))
	61.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
✓	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	61.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
✓	79.5%	#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)))))
	79.6%	#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)))
✓	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1) u1 u1))))
	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))))
	69.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1))))
	19.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* (+ (* u1 u1) u1) u1) u1) (*.f32 (fma.f32 u1 u1 u1) u1)))))
	-0.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
✓	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	60.0%	#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 1 998 to 982 computations (50.9% saved)

regimes210.0ms (2.5%)

Memory

2.1MiB live, 529.2MiB allocated

Counts

82 → 1

Calls

Call 1

Inputs
#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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* (+ (* u1 u1) u1) u1) u1) (*.f32 (fma.f32 u1 u1 u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1) u1 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))) (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))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 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))) (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))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 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) u1))))
#s(approx (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- 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))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#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 #s(approx (+ ( (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.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) (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #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))) (.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 (* (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #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))) (.f32 (+.f32 (.f32 #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 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.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) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx ( (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))) (.f32 (sqrt.f32 u1) (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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx ( (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))) (-.f32 (.f32 (.f32 (sqrt.f32 u1) (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 (.f32 u1 u1) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) 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))))
#s(approx (* (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx ( (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (pow (/ ( (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (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 (/ (- ( u1 u1) 1) (- u1 1))) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (/ (- ( u1 u1) 1) (- u1 1))) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 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 #s(literal 314159265359/50000000000 binary32) u2)))
(.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)) (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 u1 (/.f32 #s(approx (- ( u1 u1) 1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 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 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (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 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.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 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 (.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (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)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- ( u1 u1) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) u1) u1)) (-.f32 u1 #s(literal 1 binary32))))) (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 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #s(approx ( (- u1 1) (- 1 u1)) (.f32 (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1) 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 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (pow.f32 (/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 u1) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.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 (pow.f32 (pow.f32 #s(approx (/ u1 (/ (- ( u1 u1) 1) (- u1 1))) (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (.f32 (log.f32 #s(approx (/ u1 (/ (- (* u1 u1) 1) (- u1 1))) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal 1/2 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 u1 #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (pow.f32 (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1)) #s(literal -1/8 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1)) #s(literal -1/8 binary32)) (.f32 (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1)) #s(literal -1/8 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (exp.f32 (.f32 (-.f32 (log1p.f32 u1) (log.f32 u1)) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))

Calls

8 calls:

32.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
30.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
24.0ms	u1
24.0ms	u2
24.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
99.2%	1	`cosTheta_i`
99.2%	1	`u1`
99.2%	1	`u2`
99.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
99.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
99.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
99.2%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
99.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes159.0ms (1.9%)

Memory

-5.2MiB live, 312.9MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
#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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* (+ (* u1 u1) u1) u1) u1) (*.f32 (fma.f32 u1 u1 u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1) u1 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))) (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))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 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))) (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))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 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) u1))))
#s(approx (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- 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))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#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 #s(approx (+ ( (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.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) (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #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))) (.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 (* (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #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))) (.f32 (+.f32 (.f32 #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 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.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) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx ( (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))) (.f32 (sqrt.f32 u1) (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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx ( (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))) (-.f32 (.f32 (.f32 (sqrt.f32 u1) (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 (.f32 u1 u1) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) 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))))
#s(approx (* (pow (/ (* (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx ( (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (pow (/ ( (- u1 1) (- 1 u1)) (* (neg u1) u1)) -1/4) (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 (/ (- ( u1 u1) 1) (- u1 1))) (.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (/ (- ( u1 u1) 1) (- u1 1))) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 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 #s(literal 314159265359/50000000000 binary32) u2)))
(.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)) (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 u1 (/.f32 #s(approx (- ( u1 u1) 1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 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 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (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 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.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 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 (.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (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)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- ( u1 u1) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) u1) u1)) (-.f32 u1 #s(literal 1 binary32))))) (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 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #s(approx ( (- u1 1) (- 1 u1)) (.f32 (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1) 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 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.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)))

Calls

8 calls:

21.0ms	u2
20.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
20.0ms	cosTheta_i
20.0ms	u1
19.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
99.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
99.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes104.0ms (1.2%)

Memory

28.7MiB live, 226.7MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
95.2%	2	`u1`
95.2%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
95.2%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
88.6%	1	`cosTheta_i`
96.7%	2	`u2`
95.9%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
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)

regimes84.0ms (1%)

Memory

2.6MiB live, 197.4MiB allocated

Counts

39 → 2

Calls

Call 1

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

Calls

7 calls:

13.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
12.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
12.0ms	u2
12.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
12.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
92.5%	2	`u1`
92.5%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
92.5%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.3%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.7%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.7%	2	`u2`
94.7%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes72.0ms (0.9%)

Memory

3.6MiB live, 159.4MiB allocated

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

11.0ms	u2
11.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
10.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
10.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
9.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
88.6%	1	`u1`
88.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
88.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
88.6%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
88.6%	1	`u2`
88.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
88.6%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes62.0ms (0.7%)

Memory

-17.5MiB live, 139.1MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

8 calls:

9.0ms	cosTheta_i
8.0ms	u2
8.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
7.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
79.7%	1	`cosTheta_i`
79.7%	1	`u1`
79.7%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
79.7%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
79.7%	1	`u2`
79.7%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
79.7%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
79.7%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes29.0ms (0.3%)

Memory

0.1MiB live, 38.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

8 calls:

8.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms	cosTheta_i
3.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
68.9%	1	`u2`
68.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
68.9%	1	`u1`
68.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
68.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
68.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
68.9%	1	`cosTheta_i`
68.9%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes37.0ms (0.4%)

Memory

-5.8MiB live, 39.1MiB allocated

Accuracy

Total -13.5b remaining (-109.8%)

Threshold costs -13.5b (-109.8%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

20.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms	u2

Results

Accuracy	Segments	Branch
61.5%	1	`u2`
61.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
61.5%	1	`u1`
61.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
61.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
61.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
61.5%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
61.5%	1	`cosTheta_i`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04649554565548897	0.05290137976408005

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9977006316184998	0.9979601502418518

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify26.0ms (0.3%)

Memory

27.5MiB live, 65.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	218
1	76	218
2	86	218
3	92	218
4	95	218
5	96	218

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 u2 #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)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/268435456 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 8370153/8388608 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 #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))) (.f32 (+.f32 (.f32 #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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Outputs
(.f32 (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1)) #s(literal -1/4 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/268435456 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/268435456 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 (.f32 (neg.f32 u1) #s(approx (/ -1 (- 1 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 8370153/8388608 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 #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 8370153/8388608 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) #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 (+.f32 (.f32 #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))) (.f32 (+.f32 (.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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

soundness965.0ms (11.5%)

Memory

1.7MiB live, 783.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	4544
1	1137	4133
2	3288	3770
3	7521	3768
0	8208	3623
0	180	906
1	523	815
2	1543	747
3	4794	699
0	8083	673
0	41	221
0	69	197
1	198	194
0	1350	193
0	43	231
0	72	190
1	221	165
0	1452	165
0	48	272
0	76	246
1	260	224
2	1862	212
0	8343	212
0	10	28
0	16	28
1	46	28
2	237	28
3	1953	28
0	9692	28

Stop Event

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

Compiler

Compiled 282 to 188 computations (33.3% saved)

preprocess102.0ms (1.2%)

Memory

16.3MiB live, 92.3MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 570 to 340 computations (40.4% 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%)

analyze259.0ms (3.1%)

sample2.0s (23.4%)

explain199.0ms (2.4%)

preprocess58.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize77.0ms (0.9%)

series9.0ms (0.1%)

simplify204.0ms (2.4%)

rewrite158.0ms (1.9%)

eval64.0ms (0.8%)

prune75.0ms (0.9%)

simplify143.0ms (1.7%)

localize146.0ms (1.7%)

series258.0ms (3.1%)

simplify191.0ms (2.3%)

rewrite63.0ms (0.7%)

eval164.0ms (2%)

prune54.0ms (0.6%)

simplify172.0ms (2%)

localize140.0ms (1.7%)

series140.0ms (1.7%)

simplify223.0ms (2.7%)

rewrite101.0ms (1.2%)

eval79.0ms (0.9%)

prune53.0ms (0.6%)

simplify167.0ms (2%)

localize145.0ms (1.7%)

series251.0ms (3%)

simplify287.0ms (3.4%)

rewrite155.0ms (1.8%)

eval453.0ms (5.4%)

prune101.0ms (1.2%)

regimes210.0ms (2.5%)

regimes159.0ms (1.9%)

regimes104.0ms (1.2%)

regimes84.0ms (1%)

regimes72.0ms (0.9%)

regimes62.0ms (0.7%)

regimes29.0ms (0.3%)

regimes37.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify26.0ms (0.3%)

soundness965.0ms (11.5%)

preprocess102.0ms (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